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Gr 9 MATH: November Easy
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Gr 9 MATH: November Easy

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Questions and Answers

What is the result of subtracting a larger number from a smaller number?

  • Zero
  • Always undefined
  • A positive number
  • A negative number (correct)

    • What is the equivalent of adding a negative number?

  • Multiplying a positive number
  • Subtracting a positive number (correct)
  • Taking the square root of a positive number
  • Dividing a positive number

    • What is the result of the product of a positive and a negative number?

  • Always undefined
  • A positive number
  • A negative number (correct)
  • Zero

    • What is the order of operations when calculating expressions involving exponents, multiplication, and addition?

    <p>Parentheses, Exponents, Multiplication, Division, Addition, Subtraction</p> Signup and view all the answers

    What is the exponential form of a number?

    <p>Repeated multiplication</p> Signup and view all the answers

    What is the value of a^0?

    <p>1</p> Signup and view all the answers

    What is the purpose of scientific notation?

    <p>To express very large or very small numbers</p> Signup and view all the answers

    How do you write numbers in decimal form from scientific notation?

    <p>Move the decimal point according to the exponent</p> Signup and view all the answers

    What is the purpose of the laws of exponents?

    <p>To simplify exponential expressions</p> Signup and view all the answers

    What is the next step in solving exponential equations?

    <p>Rewrite both sides of the equation with the same base</p> Signup and view all the answers

    What is the purpose of estimating in calculations?

    <p>To get close to an answer without performing precise calculations</p> Signup and view all the answers

    What is the result of multiplying each digit and adding the results in multiplication?

    <p>The product of the numbers</p> Signup and view all the answers

    What is the result of dividing the number step-by-step, subtracting multiples of the divisor from the dividend, and continuing the process until the remainder is less than the divisor?

    <p>Long division</p> Signup and view all the answers

    What is the result of subtracting a larger number from a smaller number?

    <p>A negative number</p> Signup and view all the answers

    What is the sequence obtained by multiplying a number by 1, 2, 3, and so on?

    <p>Consecutive multiples</p> Signup and view all the answers

    What is the effect of adding a negative number to a positive number?

    <p>It has the same effect as subtracting the corresponding positive number</p> Signup and view all the answers

    What is the largest number that divides each of two or more numbers without leaving a remainder?

    <p>Highest common factor</p> Signup and view all the answers

    What is the formula for calculating the average speed?

    <p>Distance / Time</p> Signup and view all the answers

    What is the additive inverse of a positive number?

    <p>A negative number with the same magnitude</p> Signup and view all the answers

    What is the difference between the HP price and the cash price?

    <p>Interest</p> Signup and view all the answers

    What is the result of multiplying two negative numbers?

    <p>A positive number</p> Signup and view all the answers

    What type of interest is calculated on the principal amount without adding the interest to the principal each year?

    <p>Simple interest</p> Signup and view all the answers

    What is the distributive property of multiplication over addition?

    <p>a(b + c) = ab + ac</p> Signup and view all the answers

    What is the result of dividing a positive number by a negative number?

    <p>A negative number</p> Signup and view all the answers

    What is the result of expressing a number as a product of its prime factors?

    <p>Prime factorization</p> Signup and view all the answers

    What is the square root of a number?

    <p>The positive value that, when multiplied by itself, gives the number</p> Signup and view all the answers

    What is the ratio between the numbers of apples collected by different people used to compare?

    <p>Collection rates</p> Signup and view all the answers

    What is the purpose of negative numbers?

    <p>Both A and B</p> Signup and view all the answers

    What is the result of adding a positive and a negative number?

    <p>Depends on the magnitudes of the numbers involved</p> Signup and view all the answers

    What is the relationship between subtracting an integer and adding its additive inverse?

    <p>They have the same effect</p> Signup and view all the answers

    What is the set of numbers called when you combine natural numbers with 0?

    <p>Whole Numbers</p> Signup and view all the answers

    Which operation is the system of natural numbers not closed under?

    <p>Subtraction</p> Signup and view all the answers

    What is the property of natural numbers when you add two or more of them?

    <p>You get a natural number</p> Signup and view all the answers

    What is the identity element for addition in the system of whole numbers?

    <p>0</p> Signup and view all the answers

    What is the set of numbers that includes fractions and negative fractions?

    <p>Rational Numbers</p> Signup and view all the answers

    What is the set of numbers that includes both rational and irrational numbers?

    <p>Real Numbers</p> Signup and view all the answers

    What is the property of integers when you add two of them?

    <p>The sum can be zero</p> Signup and view all the answers

    What is the property of integers when you subtract one integer from another?

    <p>Each integer has an additive inverse</p> Signup and view all the answers

    What do algebraic expressions indicate?

    <p>A sequence of operations</p> Signup and view all the answers

    What should be calculated first in an algebraic expression with brackets?

    <p>The expressions in brackets</p> Signup and view all the answers

    What is the order of operations in an algebraic expression without brackets?

    <p>Multiplication and division first, then addition and subtraction</p> Signup and view all the answers

    What is a monomial?

    <p>An expression with one term</p> Signup and view all the answers

    What is the coefficient in the expression 3x^2?

    <p>3</p> Signup and view all the answers

    What is the variable in the expression 3x^2?

    <p>x</p> Signup and view all the answers

    What is the constant in the expression 5x + 4?

    <p>4</p> Signup and view all the answers

    What is the purpose of creating patterns with black and grey squares?

    <p>To identify variables and constants</p> Signup and view all the answers

    What is the purpose of creating a sequence with dots?

    <p>To analyze the pattern</p> Signup and view all the answers

    What is the purpose of creating a new arrangement pattern?

    <p>To identify the variables</p> Signup and view all the answers

    What is the characteristic of a function?

    <p>A relationship between two variables with exactly one output for each input.</p> Signup and view all the answers

    What is the purpose of a flow diagram in representing a function?

    <p>To illustrate the calculations needed to determine the output number for a given input variable.</p> Signup and view all the answers

    What is the gradient of a line passing through two points (x1, y1) and (x2, y2)?

    <p>The difference between the y values divided by the difference between the x values.</p> Signup and view all the answers

    What is the importance of understanding the shape of a graph?

    <p>It provides insights into the nature of the relationship between the variables.</p> Signup and view all the answers

    What is the purpose of a table in representing a function?

    <p>To show the values of the input and corresponding output.</p> Signup and view all the answers

    What is the definition of a variable in the context of functions?

    <p>A quantity that can change.</p> Signup and view all the answers

    What is the purpose of interpreting graphs?

    <p>To understand the relationship between the variables.</p> Signup and view all the answers

    What is the importance of continuity in graph interpretation?

    <p>It indicates whether the graph is a continuous line or has breaks.</p> Signup and view all the answers

    What is the role of an input number in a function?

    <p>The value substituted into the function.</p> Signup and view all the answers

    What is the relationship between the variables in a function?

    <p>One variable is influenced by another, and there is a unique output.</p> Signup and view all the answers

    What is the purpose of combining like terms when simplifying an algebraic expression?

    <p>To ensure the expression is in its simplest form</p> Signup and view all the answers

    What is the correct way to write the product of 3 and x in algebraic notation?

    <p>3x</p> Signup and view all the answers

    What is the result of multiplying a polynomial by a monomial?

    <p>A polynomial with the same degree</p> Signup and view all the answers

    What is the correct way to evaluate the square root of 16x^2?

    <p>4x</p> Signup and view all the answers

    What is the distributive property of division?

    <p>(x + y)/z = (x/z) + (y/z)</p> Signup and view all the answers

    What is the result of expanding the product of two binomials (x + a)(x + b)?

    <p>x^2 + (a + b)x + ab</p> Signup and view all the answers

    What is the formula for the square of a binomial (a + b)^2?

    <p>a^2 + 2ab + b^2</p> Signup and view all the answers

    What is the purpose of substitution in algebraic expressions?

    <p>To evaluate the expression for a specific value</p> Signup and view all the answers

    What is the rule for calculating the output of a function when given an input?

    <p>Multiply the input by 5 and subtract the result from 50</p> Signup and view all the answers

    What is the purpose of applying different rules to even numbers in function and relation problems?

    <p>To explore different scenarios and analyze the results</p> Signup and view all the answers

    What is the sum of the interior angles of a triangle?

    <p>180°</p> Signup and view all the answers

    What type of polygon has all sides and angles equal?

    <p>Regular polygon</p> Signup and view all the answers

    What is the term for a line that intersects two or more other lines?

    <p>Transversal</p> Signup and view all the answers

    What is the name of the theorem that states a^2 + b^2 = c^2 in a right triangle?

    <p>Pythagorean Theorem</p> Signup and view all the answers

    What are the angles formed when two lines intersect?

    <p>Vertically opposite angles</p> Signup and view all the answers

    What is the sum of two supplementary angles?

    <p>180°</p> Signup and view all the answers

    What is the name of the angle that is equal to its opposite angle when two lines intersect?

    <p>Vertically opposite angle</p> Signup and view all the answers

    What is the term for a quadrilateral with all sides and angles equal?

    <p>Square</p> Signup and view all the answers

    What is the formula for the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the term for the angles formed when a transversal intersects two parallel lines?

    <p>All of the above</p> Signup and view all the answers

    What is the purpose of a flow diagram in representing relationships between variables?

    <p>To illustrate the steps to compute outputs from inputs</p> Signup and view all the answers

    What is the formula used to calculate the gradient of a line?

    <p>(y_2 - y_1) / (x_2 - x_1)</p> Signup and view all the answers

    What is the key concept in functions that represents a quantity that can change?

    <p>Variable</p> Signup and view all the answers

    What is the purpose of identifying the function when drawing graphs?

    <p>To determine the formula or rule that defines the function</p> Signup and view all the answers

    What is the term for two angles on a straight line that sum to 180°?

    <p>Supplementary Angles</p> Signup and view all the answers

    What is the relationship between the angles formed when two straight lines intersect?

    <p>The vertically opposite angles are equal</p> Signup and view all the answers

    What is the purpose of a transversal in geometry?

    <p>To intersect two or more other lines</p> Signup and view all the answers

    What is the term for angles on opposite sides of the transversal but inside the two intersected lines?

    <p>Alternate Angles</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = b × h</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the sum of co-interior angles when a transversal intersects parallel lines?

    <p>180°</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = θ/360 × πr^2</p> Signup and view all the answers

    What is the purpose of creating a table of values when drawing graphs of functions?

    <p>To choose a range of input values and calculate the corresponding output values</p> Signup and view all the answers

    What is the sum of the interior angles of a regular polygon with n sides?

    <p>(n - 2) × 180°</p> Signup and view all the answers

    What is the formula for the area of a rhombus?

    <p>A = 1/2 × d1 × d2</p> Signup and view all the answers

    What is the formula for the diagonal of a rectangle?

    <p>d = √(l^2 + w^2)</p> Signup and view all the answers

    What is the method to construct a perpendicular line through a point not on the line segment?

    <p>Draw a circle with one end point of the line segment as the center and passing through the given point, and draw another circle with the other end point of the line segment as the center and passing through the given point.</p> Signup and view all the answers

    What is the method to bisect an angle?

    <p>Draw a circle with the vertex of the angle as the center, marking off equal lengths on both arms of the angle, and draw two equal circles with centers at the points where the first circle intersects the arms of the angle.</p> Signup and view all the answers

    What is the method to construct a 45° angle?

    <p>Draw a 90° angle using the method for constructing perpendicular lines, and bisect the 90° angle.</p> Signup and view all the answers

    What is the property of angle bisectors in triangles?

    <p>The three angle bisectors of a triangle intersect at one point, equidistant from each side of the triangle.</p> Signup and view all the answers

    What is the sum of the interior angles of a triangle?

    <p>360°</p> Signup and view all the answers

    What is the minimum number of sides required to construct a triangle?

    <p>3</p> Signup and view all the answers

    Which congruency condition involves two sides and an included angle?

    <p>SAS</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2bh</p> Signup and view all the answers

    What is the formula for the perimeter of a triangle?

    <p>P = a + b + c</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2l + 2w</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = θ/360 × πr^2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the sum of the interior angles of a regular polygon?

    <p>(n - 2) × 180°</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the area of a regular polygon?

    <p>A = (n/4) × s^2 × cot(π/n)</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = base × height</p> Signup and view all the answers

    What is the formula for the surface area of a cube?

    <p>SA = 6s^2</p> Signup and view all the answers

    What is the formula for the volume of a rectangular prism?

    <p>V = l × w × h</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

    <p>A = 1/2 × (side1 + side2) × height</p> Signup and view all the answers

    What is the effect of doubling both dimensions of a shape on its area?

    <p>The area is quadrupled.</p> Signup and view all the answers

    What is the method used to construct a square or rectangle?

    <p>Use a ruler to draw four equal sides for a square, or two pairs of equal sides for a rectangle.</p> Signup and view all the answers

    What is the formula for translating a point by a vector (a, b)?

    <p>(x, y) → (x + a, y + b)</p> Signup and view all the answers

    What is the result of rotating a point 90° counterclockwise around the origin?

    <p>(x, y) → (-y, x)</p> Signup and view all the answers

    What is the formula for reflecting a point over the x-axis?

    <p>(x, y) → (x, -y)</p> Signup and view all the answers

    What is the formula for dilating a point by a scale factor k from the origin?

    <p>(x, y) → (kx, ky)</p> Signup and view all the answers

    What is the method used to construct a circle?

    <p>Use a compass to draw a circle with a given radius from a central point.</p> Signup and view all the answers

    What is the definition of a translation?

    <p>A transformation that moves every point of a shape the same distance in the same direction.</p> Signup and view all the answers

    What is the definition of a dilation?

    <p>A transformation that changes the size of a shape but not its shape.</p> Signup and view all the answers

    What is the definition of a reflection?

    <p>A transformation that flips a shape over a line.</p> Signup and view all the answers

    What is the method used to construct a regular polygon?

    <p>Use a compass and protractor to draw each side and angle consecutively.</p> Signup and view all the answers

    What is the set of numbers called when you combine natural numbers with 0?

    <p>Whole Numbers</p> Signup and view all the answers

    Which operation is the system of natural numbers not closed under?

    <p>Subtraction</p> Signup and view all the answers

    What is the property of natural numbers when you add two or more of them?

    <p>The result is always a natural number.</p> Signup and view all the answers

    What is the identity element for addition in the system of whole numbers?

    <p>0</p> Signup and view all the answers

    What is the set of numbers that includes fractions and negative fractions?

    <p>Rational Numbers</p> Signup and view all the answers

    What is the set of numbers that includes both rational and irrational numbers?

    <p>Real Numbers</p> Signup and view all the answers

    What is the property of integers when you add two of them?

    <p>The result is always an integer.</p> Signup and view all the answers

    What is the property of integers when you subtract one integer from another?

    <p>Each integer has an additive inverse.</p> Signup and view all the answers

    What is the result of adding a positive and a negative number?

    <p>Depends on the magnitudes of the numbers</p> Signup and view all the answers

    What is the additive inverse of a positive number?

    <p>A negative number with the same magnitude</p> Signup and view all the answers

    What is the effect of subtracting a negative number from a positive number?

    <p>It becomes larger</p> Signup and view all the answers

    What is the product of two negative numbers?

    <p>Always positive</p> Signup and view all the answers

    What is the purpose of negative numbers?

    <p>To provide solutions for equations and to extend the number system</p> Signup and view all the answers

    What is the result of adding a negative number to its additive inverse?

    <p>Zero</p> Signup and view all the answers

    What is the distributive property of multiplication over addition?

    <p>a(b + c) = ab + ac</p> Signup and view all the answers

    What is the result of multiplying a positive and a negative number?

    <p>Always negative</p> Signup and view all the answers

    What is the result of expressing a number as a product of its prime factors?

    <p>The product is always a positive number</p> Signup and view all the answers

    What is the set of numbers that includes fractions and negative fractions?

    <p>Rational numbers</p> Signup and view all the answers

    What is the result of subtracting a negative number from a positive number?

    <p>A positive number</p> Signup and view all the answers

    What is the purpose of laws of exponents?

    <p>To simplify exponential expressions</p> Signup and view all the answers

    What is the value of a negative exponent?

    <p>The reciprocal of the base raised to the positive exponent</p> Signup and view all the answers

    What is the purpose of scientific notation?

    <p>To express very large or very small numbers</p> Signup and view all the answers

    What is the result of multiplying a positive and a negative integer?

    <p>A negative number</p> Signup and view all the answers

    What is the pattern of grey and white squares in an arrangement?

    <p>Alternating</p> Signup and view all the answers

    What is the purpose of investigating and extending geometric patterns?

    <p>To analyze arrangements consisting of black squares, grey squares, and white squares</p> Signup and view all the answers

    What is the exponent in the expression 2^3?

    <p>3</p> Signup and view all the answers

    What is the equivalent of combining like terms in an algebraic expression?

    <p>Simplifying the expression</p> Signup and view all the answers

    What is the result of adding the additive inverse of a number to itself?

    <p>Zero</p> Signup and view all the answers

    What is the result of multiplying a polynomial by a monomial?

    <p>Each term in the polynomial is multiplied by the monomial</p> Signup and view all the answers

    What is the property of integers when you add two of them?

    <p>The result is an integer</p> Signup and view all the answers

    What is the purpose of using brackets in algebraic expressions?

    <p>To indicate the order of operations</p> Signup and view all the answers

    What is the result of squaring a binomial (a + b)?

    <p>a^2 + 2ab + b^2</p> Signup and view all the answers

    What is the purpose of substitution in algebraic expressions?

    <p>To evaluate the expression for a specific value</p> Signup and view all the answers

    What is the rule for multiplying a polynomial by a monomial?

    <p>Distributive property of multiplication</p> Signup and view all the answers

    What is the result of dividing a polynomial by a monomial?

    <p>Each term in the polynomial is divided by the monomial</p> Signup and view all the answers

    What is the purpose of the distributive property in algebra?

    <p>To simplify algebraic expressions</p> Signup and view all the answers

    What is the result of expanding the product of two binomials?

    <p>A polynomial with four terms</p> Signup and view all the answers

    What is the purpose of applying the distributive property in algebra?

    <p>To simplify algebraic expressions</p> Signup and view all the answers

    What is the characteristic of a function that describes the relationship between two variables?

    <p>Each input has exactly one output</p> Signup and view all the answers

    What is the purpose of a flow diagram in representing a function?

    <p>To illustrate the calculations needed to determine the output</p> Signup and view all the answers

    What is the formula to calculate the gradient of a line passing through two points (x1, y1) and (x2, y2)?

    <p>Gradient = (y2 - y1) / (x2 - x1)</p> Signup and view all the answers

    What is the representation of a function that shows the input numbers and their corresponding output values?

    <p>Table</p> Signup and view all the answers

    What is the representation of a function that provides a visual representation of the relationship?

    <p>Graph</p> Signup and view all the answers

    What is the name of the relationship between two variables where each input has exactly one output?

    <p>Function</p> Signup and view all the answers

    What is the term for the value substituted into a function?

    <p>Input number</p> Signup and view all the answers

    What is the term for the result after applying the function to the input?

    <p>Output number</p> Signup and view all the answers

    What is the representation of a function that describes the calculations needed to find the output number?

    <p>Formula</p> Signup and view all the answers

    What is the term for the quantity that can change?

    <p>Variable</p> Signup and view all the answers

    What is an algebraic expression?

    <p>A sequence of operations that can be described in words or flow diagrams</p> Signup and view all the answers

    What is the correct order of operations in an algebraic expression without brackets?

    <p>Multiplication and division first, followed by addition and subtraction</p> Signup and view all the answers

    What is a monomial?

    <p>An expression with one term</p> Signup and view all the answers

    What is the coefficient in the expression 3x^2?

    <p>3</p> Signup and view all the answers

    What is the variable in the expression 3x^2?

    <p>x</p> Signup and view all the answers

    What is the constant in the expression 5x + 4?

    <p>4</p> Signup and view all the answers

    What should be calculated first in an algebraic expression with brackets?

    <p>Expressions in brackets</p> Signup and view all the answers

    What is the purpose of creating patterns with black and grey squares?

    <p>To create patterns with black and grey squares, identifying constants and variables</p> Signup and view all the answers

    What is the purpose of creating a sequence with dots?

    <p>To analyze the pattern</p> Signup and view all the answers

    What is the purpose of creating a new arrangement pattern?

    <p>To create a new arrangement pattern and identify the variables</p> Signup and view all the answers

    What is the purpose of estimating in calculations?

    <p>To get close to an answer without performing precise calculations</p> Signup and view all the answers

    What is the result of multiplying each digit and adding the results in multiplication?

    <p>The result of multiplying two or more numbers</p> Signup and view all the answers

    What is the purpose of prime factorization?

    <p>To express a number as a product of its prime factors</p> Signup and view all the answers

    What is the formula for calculating average speed?

    <p>Distance / Time</p> Signup and view all the answers

    What is the result of long division?

    <p>A quotient and a remainder</p> Signup and view all the answers

    What is the purpose of calculating the LCM of two or more numbers?

    <p>To find the smallest common multiple of the numbers</p> Signup and view all the answers

    What is the result of calculating the HCF of two or more numbers?

    <p>The largest number that divides each of the numbers without leaving a remainder</p> Signup and view all the answers

    What is the purpose of calculating simple interest?

    <p>To calculate the interest on the principal amount without adding the interest to the principal each year</p> Signup and view all the answers

    What is the purpose of calculating compound interest?

    <p>To calculate the interest on the principal amount and add it to the principal each year</p> Signup and view all the answers

    What is the ratio between the numbers of apples collected by different people used to compare?

    <p>Their collection rates</p> Signup and view all the answers

    What is the sum of interior angles in a triangle?

    <p>180°</p> Signup and view all the answers

    What is the name of the line that intersects two or more other lines?

    <p>Transversal</p> Signup and view all the answers

    What is the term for angles on opposite sides of the transversal and inside the parallel lines?

    <p>Alternate angles</p> Signup and view all the answers

    What is the term for a polygon with all sides and angles equal?

    <p>Regular polygon</p> Signup and view all the answers

    What is the formula for the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the term for angles whose sum is 180°?

    <p>Supplementary angles</p> Signup and view all the answers

    What is the term for angles formed when two lines intersect?

    <p>Vertically opposite angles</p> Signup and view all the answers

    What is the Pythagorean theorem for a right triangle?

    <p>a^2 + b^2 = c^2</p> Signup and view all the answers

    What is the term for a polygon with straight sides?

    <p>Polygon</p> Signup and view all the answers

    What is the term for a triangle with all three sides and angles equal?

    <p>Equilateral triangle</p> Signup and view all the answers

    What is the purpose of a graph in representing a function?

    <p>To visualize how variables change in relation to each other.</p> Signup and view all the answers

    What is the formula for calculating the gradient of a line?

    <p>Gradient = y2 - y1 / x2 - x1</p> Signup and view all the answers

    What is the relationship between supplementary angles?

    <p>They are equal to 180 degrees.</p> Signup and view all the answers

    What is the result of two angles on a straight line?

    <p>They are equal to 180 degrees.</p> Signup and view all the answers

    What is the purpose of a table in representing a function?

    <p>To list input values and their corresponding output values clearly.</p> Signup and view all the answers

    What is the characteristic of a function?

    <p>A function is a relationship between two variables where each input corresponds to exactly one output.</p> Signup and view all the answers

    What is the result of vertically opposite angles?

    <p>They are equal.</p> Signup and view all the answers

    What is the purpose of a flow diagram in representing a function?

    <p>To illustrate the steps to compute outputs from inputs.</p> Signup and view all the answers

    What is the result of two lines intersecting?

    <p>Vertically opposite angles are equal.</p> Signup and view all the answers

    What is the purpose of drawing graphs of functions?

    <p>To visualize how variables change in relation to each other.</p> Signup and view all the answers

    What is the sum of the interior angles of a triangle?

    <p>180 degrees</p> Signup and view all the answers

    What is the name of the theorem that states a^2 + b^2 = c^2?

    <p>Pythagorean Theorem</p> Signup and view all the answers

    What is the minimum condition required for congruency in triangles?

    <p>Three sides</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 * base * height</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = b × h</p> Signup and view all the answers

    What is the name of the formula used to calculate the area of a triangle when the length of all three sides is known?

    <p>Heron's Formula</p> Signup and view all the answers

    What is the name of the angle formed by a side of a triangle and an extended adjacent side?

    <p>Exterior Angle</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2 × π × r</p> Signup and view all the answers

    What is the condition required for two triangles to be congruent?

    <p>Same shape and size</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = θ/360 × π × r^2</p> Signup and view all the answers

    What is the formula for the perimeter of a triangle?

    <p>P = a + b + c</p> Signup and view all the answers

    What is the sum of interior angles in a regular polygon?

    <p>(n - 2) × 180°</p> Signup and view all the answers

    What is the name of the formula used to calculate the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the diagonal of a rectangle?

    <p>d = √(l^2 + w^2)</p> Signup and view all the answers

    What is the name of the formula used to calculate the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    How do you construct a perpendicular line through a point not on the line segment?

    <p>Draw a circle with one end point of the line segment as the center and passing through the given point</p> Signup and view all the answers

    What is the purpose of bisecting an angle?

    <p>To divide the angle into two equal parts</p> Signup and view all the answers

    How do you construct a 45° angle?

    <p>Draw a 90° angle and then bisect it</p> Signup and view all the answers

    What is the property of the three angle bisectors of a triangle?

    <p>They are concurrent and equidistant from each side of the triangle</p> Signup and view all the answers

    What is the formula for the area of a rhombus?

    <p>A = 1/2 × d1 × d2</p> Signup and view all the answers

    What is the formula for the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2(l + w)</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2bh</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the effect on the perimeter of a square if the side length is doubled?

    <p>The perimeter is doubled</p> Signup and view all the answers

    What is the formula for the surface area of a cube?

    <p>SA = 6s^2</p> Signup and view all the answers

    What is the effect on the area of a rectangle if the length is doubled and the width is halved?

    <p>The area remains the same</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = bh</p> Signup and view all the answers

    What is the method used to construct a circle?

    <p>Using a compass to draw a circle with a given radius from a central point</p> Signup and view all the answers

    What is the definition of translation?

    <p>A transformation that moves every point of a shape the same distance in the same direction</p> Signup and view all the answers

    What is the formula for the volume of a rectangular prism?

    <p>V = lwh</p> Signup and view all the answers

    What is the formula for a 90 degree counterclockwise rotation?

    <p>(x, y) -&gt; (-y, x)</p> Signup and view all the answers

    What is the effect on the area of a circle if the radius is doubled?

    <p>The area is quadrupled</p> Signup and view all the answers

    What is the definition of dilation?

    <p>A transformation that changes the size of a shape but not its shape</p> Signup and view all the answers

    How do you construct a square or rectangle?

    <p>Use a ruler to draw four equal sides for a square, or two pairs of equal sides for a rectangle</p> Signup and view all the answers

    What is the formula for a reflection over the x-axis?

    <p>(x, y) -&gt; (x, -y)</p> Signup and view all the answers

    What is the formula for a dilation from the origin with scale factor k?

    <p>(x, y) -&gt; (kx, ky)</p> Signup and view all the answers

    What is the method used to construct a parallelogram?

    <p>Draw the base and use a set square to draw the height, then draw the parallel opposite sides</p> Signup and view all the answers

    What is the definition of reflection?

    <p>A transformation that flips a shape over a line</p> Signup and view all the answers

    What is the method used to construct a rhombus?

    <p>Use a compass to draw four equal sides from a single vertex</p> Signup and view all the answers

    What is the result of subtracting a negative number from a positive number?

    <p>A positive number</p> Signup and view all the answers

    What is the purpose of exponents in mathematics?

    <p>To represent repeated multiplication</p> Signup and view all the answers

    What is the rule for calculating with negative exponents?

    <p>Take the reciprocal of the base raised to the positive exponent</p> Signup and view all the answers

    How do you write a large number in scientific notation?

    <p>Move the decimal point to the left and the exponent is positive</p> Signup and view all the answers

    What is the purpose of the laws of exponents?

    <p>To simplify exponential expressions</p> Signup and view all the answers

    What is the result of multiplying a positive integer by a negative integer?

    <p>A negative integer</p> Signup and view all the answers

    How do you simplify an exponential expression?

    <p>Apply the laws of exponents</p> Signup and view all the answers

    What is the purpose of investigating and extending geometric patterns?

    <p>To generalize a rule for the pattern</p> Signup and view all the answers

    What is the result of adding a positive integer and its additive inverse?

    <p>Zero</p> Signup and view all the answers

    What is the purpose of estimating in calculations?

    <p>To check the reasonableness of an answer</p> Signup and view all the answers

    What is the property of natural numbers when you multiply two or more of them?

    <p>You get a natural number again.</p> Signup and view all the answers

    What is the purpose of zero in the system of whole numbers?

    <p>To write numbers and avoid special symbols</p> Signup and view all the answers

    What are irrational numbers?

    <p>Numbers that cannot be expressed as a fraction of two integers</p> Signup and view all the answers

    What is the set of numbers that includes both rational and irrational numbers?

    <p>Real numbers</p> Signup and view all the answers

    What is the property of integers when you add two of them?

    <p>The sum is always an integer</p> Signup and view all the answers

    What is the additive inverse of a number in the set of integers?

    <p>A number that is the opposite of the original number</p> Signup and view all the answers

    What is the result of subtracting a natural number from another natural number?

    <p>The result is not always a natural number</p> Signup and view all the answers

    What is the system of whole numbers?

    <p>The natural numbers combined with zero</p> Signup and view all the answers

    What is the result of adding a positive and a negative number?

    <p>Depends on the magnitudes of the numbers involved</p> Signup and view all the answers

    What is the purpose of estimating in calculations?

    <p>To get close to the answer without performing precise calculations</p> Signup and view all the answers

    How do you find the Lowest Common Multiple (LCM) of two numbers?

    <p>By multiplying all the prime factors of both numbers, without repeating any factors unless they appear more than once in one of the numbers</p> Signup and view all the answers

    What is the effect of adding an additive inverse to a number?

    <p>It results in zero</p> Signup and view all the answers

    What is the relationship between distance, speed, and time?

    <p>Average speed = Distance / Time</p> Signup and view all the answers

    What is the rule for multiplying two negative numbers?

    <p>The result is always positive</p> Signup and view all the answers

    What is the formula for calculating the Highest Common Factor (HCF) of two numbers?

    <p>HCF = Product of common prime factors of both numbers</p> Signup and view all the answers

    What is the purpose of negative numbers?

    <p>To provide solutions for equations and extend the number system</p> Signup and view all the answers

    What is the distributive property of multiplication over addition?

    <p>a(b + c) = ab + bc</p> Signup and view all the answers

    What is the purpose of prime factorization?

    <p>To express a number as a product of its prime factors</p> Signup and view all the answers

    What is the difference between simple interest and compound interest?

    <p>Simple interest is calculated on the principal amount only, while compound interest is calculated on the principal amount and the interest</p> Signup and view all the answers

    What is the result of subtracting a negative number from a positive number?

    <p>It results in a positive number</p> Signup and view all the answers

    What is the purpose of identifying constants and variables in patterns with black and grey squares?

    <p>To analyze the pattern and identify the next element</p> Signup and view all the answers

    What is the purpose of compensating for errors in calculations?

    <p>To correct errors introduced by rounding</p> Signup and view all the answers

    What is the relationship between adding an integer and subtracting its additive inverse?

    <p>They are equivalent</p> Signup and view all the answers

    What is the result of expressing a number as a product of its prime factors?

    <p>It results in a simplified form</p> Signup and view all the answers

    What is the result of multiplying two negative numbers?

    <p>A positive number</p> Signup and view all the answers

    What is an expression with one term only, such as 3x^2, called?

    <p>Monomial</p> Signup and view all the answers

    What is the correct order of operations in an algebraic expression without brackets?

    <p>Multiplication and Division, then Addition and Subtraction</p> Signup and view all the answers

    What is the set of numbers that includes whole numbers and their additive inverses?

    <p>Integers</p> Signup and view all the answers

    What is the purpose of ratios in comparing collection rates?

    <p>To compare the collection rates of different people</p> Signup and view all the answers

    What is the formula for calculating the total HP price?

    <p>Total HP price = Deposit + Total instalments</p> Signup and view all the answers

    What is the property of integers when you add two of them?

    <p>The result depends on the numbers involved</p> Signup and view all the answers

    What is the symbol often used to represent the variable in an algebraic expression?

    <p>x</p> Signup and view all the answers

    What is the purpose of creating a sequence with dots?

    <p>To analyze the pattern and identify the next element</p> Signup and view all the answers

    What is an expression which is a sum of three terms, such as 3x^3 + 2x + 9, called?

    <p>Trinomial</p> Signup and view all the answers

    In an algebraic expression, what is the number multiplying the variable called?

    <p>Coefficient</p> Signup and view all the answers

    What is the purpose of using flow diagrams in algebra?

    <p>To describe sequences of calculations</p> Signup and view all the answers

    What is the result of performing calculations within the brackets first in an algebraic expression?

    <p>The expression is simplified</p> Signup and view all the answers

    What is the purpose of creating a new arrangement pattern?

    <p>To develop your own pattern and describe the variables</p> Signup and view all the answers

    What is the result of multiplying a polynomial by a monomial?

    <p>Each term in the polynomial is multiplied by the monomial.</p> Signup and view all the answers

    What is the purpose of the distributive property in simplifying algebraic expressions?

    <p>To combine like terms.</p> Signup and view all the answers

    What is the result of expanding the product of two binomials (x + a)(x + b)?

    <p>x^2 + (a + b)x + ab</p> Signup and view all the answers

    What is the general form for squaring a binomial (a + b)?

    <p>a^2 + 2ab + b^2</p> Signup and view all the answers

    What is the purpose of substituting specific values for variables in algebraic expressions?

    <p>To check for equivalence and simplification.</p> Signup and view all the answers

    What is the result of applying the rule 'multiply a number by 5 and subtract the result from 50' to a given input set?

    <p>The output numbers depend on the specific input set.</p> Signup and view all the answers

    What is the characteristic of a function?

    <p>Each input corresponds to exactly one output.</p> Signup and view all the answers

    What is the purpose of using the distributive property of division?

    <p>To divide a polynomial by a monomial.</p> Signup and view all the answers

    What is the result of squaring a binomial (a - b)?

    <p>a^2 - 2ab + b^2</p> Signup and view all the answers

    What is the purpose of using brackets in algebraic expressions?

    <p>To specify the order of operations.</p> Signup and view all the answers

    What is the formula used to calculate the gradient of a line passing through two points (x_1, y_1) and (x_2, y_2)?

    <p>Gradient = (y_2 - y_1) / (x_2 - x_1)</p> Signup and view all the answers

    What is the purpose of a table in representing a function?

    <p>To show the input-output pairs clearly</p> Signup and view all the answers

    What is the term for the points where a graph crosses the axes?

    <p>Intercepts</p> Signup and view all the answers

    What is the relationship between two angles on a straight line?

    <p>They are supplementary</p> Signup and view all the answers

    What is the term for two angles whose sum is 180 degrees?

    <p>Supplementary angles</p> Signup and view all the answers

    What is the result when two lines intersect to form equal angles of 90 degrees?

    <p>The lines are perpendicular</p> Signup and view all the answers

    What is the term for a line that intersects two or more other lines?

    <p>Transversal</p> Signup and view all the answers

    What is the term for angles on opposite sides of the transversal but inside the two intersected lines?

    <p>Alternate angles</p> Signup and view all the answers

    What is the sum of co-interior angles when a transversal intersects two parallel lines?

    <p>180 degrees</p> Signup and view all the answers

    What is the purpose of identifying the lines and angles when drawing and interpreting graphs of angles and lines?

    <p>To determine the parallel lines and transversal</p> Signup and view all the answers

    What is the sum of the interior angles of an equilateral triangle?

    <p>180°</p> Signup and view all the answers

    What is the name of the line that intersects two or more other lines?

    <p>Transversal</p> Signup and view all the answers

    What is the property of corresponding angles when a transversal intersects parallel lines?

    <p>They are equal</p> Signup and view all the answers

    What is the name of the angles formed when two lines intersect?

    <p>Vertically opposite angles</p> Signup and view all the answers

    What is the sum of the interior angles of a quadrilateral?

    <p>360°</p> Signup and view all the answers

    What is the name of the polygon with all sides and angles equal?

    <p>Regular polygon</p> Signup and view all the answers

    What is the formula for the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the name of the angles formed when a transversal intersects two parallel lines on the same side of the transversal?

    <p>Co-interior angles</p> Signup and view all the answers

    What is the property of alternate angles when a transversal intersects parallel lines?

    <p>They are equal</p> Signup and view all the answers

    What is the name of the triangle with two sides and two angles equal?

    <p>Isosceles triangle</p> Signup and view all the answers

    What is the characteristic of a function that describes the relationship between two variables?

    <p>Each input has exactly one output</p> Signup and view all the answers

    What is the formula used to calculate the gradient of a line passing through two points?

    <p>Gradient = (y2 - y1) / (x2 - x1)</p> Signup and view all the answers

    What is the purpose of a graph in representing a function?

    <p>To provide a visual representation of the relationship between variables</p> Signup and view all the answers

    What is the term used to describe the value substituted into a function?

    <p>Input number</p> Signup and view all the answers

    What is the type of representation that displays values of input and corresponding output?

    <p>Table</p> Signup and view all the answers

    What is the feature of a graph that indicates the rate of change between variables?

    <p>Slope/Gradient</p> Signup and view all the answers

    What is the representation of a function that shows the calculations needed to determine the output number?

    <p>Flow diagram</p> Signup and view all the answers

    What is the term used to describe the result after applying the function to the input?

    <p>Function value</p> Signup and view all the answers

    What is the representation of a function that describes the calculations to be done to determine the output number?

    <p>Formula</p> Signup and view all the answers

    What is the term used to describe a quantity that can change?

    <p>Variable</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

    <p>A = (1/2) × (a + b) × h</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the sum of interior angles of a regular polygon with n sides?

    <p>(n - 2) × 180°</p> Signup and view all the answers

    How do you construct a perpendicular line through a point not on the line segment?

    <p>Draw a circle with one end point of the line segment as the center and passing through the given point.</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = (θ/360) × πr^2</p> Signup and view all the answers

    What is the property of the three angle bisectors of a triangle?

    <p>They intersect at one point, equidistant from each side of the triangle.</p> Signup and view all the answers

    What is the formula for the area of a rhombus?

    <p>A = (1/2) × d1 × d2</p> Signup and view all the answers

    How do you construct a 45° angle?

    <p>Draw a 90° angle and bisect it.</p> Signup and view all the answers

    What is the formula for the perimeter of a polygon?

    <p>P = sum of all side lengths</p> Signup and view all the answers

    What is the method to construct a square or rectangle?

    <p>Use a ruler to draw four equal sides for a square, or two pairs of equal sides for a rectangle, ensuring all angles are 90°.</p> Signup and view all the answers

    What is the formula for the diagonal of a rectangle?

    <p>d = √(l^2 + w^2)</p> Signup and view all the answers

    What is the definition of translation in transformation geometry?

    <p>A process that moves every point of a shape the same distance in the same direction.</p> Signup and view all the answers

    What is the notation for a translation of a point (x, y) by a vector (a, b)?

    <p>(x, y) → (x + a, y + b)</p> Signup and view all the answers

    What is the formula for a 90° counterclockwise rotation about the origin?

    <p>(x, y) → (-y, x)</p> Signup and view all the answers

    What is the formula for a reflection over the x-axis?

    <p>(x, y) → (x, -y)</p> Signup and view all the answers

    What is the formula for a dilation from the origin with a scale factor of k?

    <p>(x, y) → (kx, ky)</p> Signup and view all the answers

    What is the method to construct a circle?

    <p>Use a compass to draw a circle with a given radius from a central point.</p> Signup and view all the answers

    What is the definition of a parallelogram?

    <p>A quadrilateral with opposite sides parallel and equal.</p> Signup and view all the answers

    What is the method to construct a regular polygon?

    <p>Use a compass to draw each side and angle consecutively.</p> Signup and view all the answers

    What is the definition of a rhombus?

    <p>A quadrilateral with four equal sides.</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = base × height</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2(l + w)</p> Signup and view all the answers

    What is the formula for the area of a kite?

    <p>A = 1/2 × d1 × d2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> Signup and view all the answers

    What is the effect of doubling one dimension of a shape on its perimeter?

    <p>The perimeter is doubled</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

    <p>A = 1/2 × (side1 + side2) × height</p> Signup and view all the answers

    What is the formula for the surface area of a cube?

    <p>SA = 6s^2</p> Signup and view all the answers

    What is the formula for the volume of a rectangular prism?

    <p>V = l × w × h</p> Signup and view all the answers

    What is the formula for the diameter of a circle?

    <p>d = 2r</p> Signup and view all the answers

    What is the sum of the interior angles of a triangle?

    <p>360°</p> Signup and view all the answers

    What is the formula for the perimeter of a triangle?

    <p>P = a + b + c</p> Signup and view all the answers

    What is the condition for two triangles to be congruent?

    <p>Similar shape and size</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = (base × height) / 2</p> Signup and view all the answers

    What is the Pythagorean theorem for a right triangle?

    <p>a^2 + b^2 = c^2</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = (θ/360) × πr^2</p> Signup and view all the answers

    What is the formula for the sum of the interior angles of a regular polygon?

    <p>Sum = (n - 2) × 180°</p> Signup and view all the answers

    What is the formula for the area of a regular polygon?

    <p>A = (1/4)ns^2 cot(Ï€/n)</p> Signup and view all the answers

    What is the set of numbers that includes the natural numbers and 0?

    <p>Whole numbers</p> Signup and view all the answers

    What is the property of natural numbers when you add two or more of them?

    <p>The answer is always a natural number</p> Signup and view all the answers

    What is the identity element for addition in the system of whole numbers?

    <p>0</p> Signup and view all the answers

    What is the property of integers when you add two of them?

    <p>The answer can be zero</p> Signup and view all the answers

    What is the set of numbers that includes fractions and negative fractions?

    <p>Rational numbers</p> Signup and view all the answers

    What is the set of numbers that includes both rational and irrational numbers?

    <p>Real numbers</p> Signup and view all the answers

    What is a characteristic of natural numbers?

    <p>They can be used to count</p> Signup and view all the answers

    What is the operation that the system of natural numbers is not closed under?

    <p>Subtraction</p> Signup and view all the answers

    What is an algebraic expression?

    <p>A sequence of operations that can be described in words or flow diagrams</p> Signup and view all the answers

    What is a monomial?

    <p>An expression with one term</p> Signup and view all the answers

    What is the order of operations in an algebraic expression without brackets?

    <p>Multiplication and division first, then addition and subtraction</p> Signup and view all the answers

    What is the variable in the expression 3x^2?

    <p>x</p> Signup and view all the answers

    What is the coefficient in the expression 3x^2?

    <p>3</p> Signup and view all the answers

    What is the constant in the expression 5x + 4?

    <p>4</p> Signup and view all the answers

    What do you do with brackets in an algebraic expression?

    <p>Perform the calculations within the brackets first</p> Signup and view all the answers

    What is a binomial?

    <p>An expression with two terms</p> Signup and view all the answers

    What is a trinomial?

    <p>An expression which is a sum of three terms</p> Signup and view all the answers

    What do equivalent expressions have?

    <p>The same numerical value for any given value of the variable</p> Signup and view all the answers

    What is the purpose of estimating in calculations?

    <p>To get a close approximate answer</p> Signup and view all the answers

    What is the result of adding a positive and a negative number?

    <p>Depends on the magnitudes of the numbers involved</p> Signup and view all the answers

    What is the result of multiplying each digit and adding the results in multiplication?

    <p>The multiplication of the digits in columns</p> Signup and view all the answers

    What is the process of dividing the number step-by-step, subtracting multiples of the divisor from the dividend, and continuing the process until the remainder is less than the divisor?

    <p>Long division</p> Signup and view all the answers

    What is the effect of subtracting a negative number?

    <p>Equivalent to adding the corresponding positive number</p> Signup and view all the answers

    What is the sequence obtained by multiplying a number by 1, 2, 3, and so on?

    <p>Consecutive multiples</p> Signup and view all the answers

    What is the property of multiplication with integers?

    <p>The product of two negative numbers is always positive</p> Signup and view all the answers

    What is the distributive property of multiplication over addition?

    <p>a(b + c) = ab + ac</p> Signup and view all the answers

    What is the largest number that divides each of two or more numbers without leaving a remainder?

    <p>Highest Common Factor (HCF)</p> Signup and view all the answers

    What is the formula for calculating the average speed?

    <p>Average speed = Distance / Time</p> Signup and view all the answers

    What is the result of adding the additive inverse of a number?

    <p>The result is always zero</p> Signup and view all the answers

    What is the purpose of negative numbers?

    <p>To extend the number system for practical purposes</p> Signup and view all the answers

    What is the difference between the HP price and the cash price?

    <p>The interest</p> Signup and view all the answers

    What is the type of interest that is calculated on the principal amount without adding the interest to the principal each year?

    <p>Simple interest</p> Signup and view all the answers

    What is the rule for multiplying integers?

    <p>The product of a positive and a negative number is always negative</p> Signup and view all the answers

    What is the purpose of expressing a number as a product of its prime factors?

    <p>To find the prime factors</p> Signup and view all the answers

    What is the result of dividing a positive number by a negative number?

    <p>The result is always negative</p> Signup and view all the answers

    What is the ratio between the numbers of apples collected by different people used to compare?

    <p>Their collection rates</p> Signup and view all the answers

    What is the formula for calculating the square of a number?

    <p>x^2</p> Signup and view all the answers

    What is the relationship between the additive inverse of a number and the number itself?

    <p>They are additive inverses</p> Signup and view all the answers

    What is the result of subtracting a smaller number from a larger number?

    <p>A positive number</p> Signup and view all the answers

    What is the purpose of exponentiation?

    <p>To simplify calculations involving repeated multiplication</p> Signup and view all the answers

    What is the value of $a^{-n}$?

    <p>$rac{1}{a^n}$</p> Signup and view all the answers

    What is the purpose of scientific notation?

    <p>To simplify calculations involving very large or very small numbers</p> Signup and view all the answers

    What is the law of exponents for $(a^m)^n$?

    <p>$a^{m imes n}$</p> Signup and view all the answers

    What is the property of integers when you add two of them?

    <p>The result is always an integer</p> Signup and view all the answers

    What is the pattern in the arrangement of blue and yellow square tiles?

    <p>The number of yellow tiles is a variable</p> Signup and view all the answers

    What is the purpose of the laws of exponents?

    <p>To simplify expressions involving exponents</p> Signup and view all the answers

    What is the result of multiplying a positive and a negative integer?

    <p>A negative integer</p> Signup and view all the answers

    What is the pattern in the arrangement of black, grey, and white squares?

    <p>There is no pattern</p> Signup and view all the answers

    What is the distributive property of multiplication?

    <p>a(b + c) = ab + ac</p> Signup and view all the answers

    What is the correct way to simplify an expression?

    <p>Combine like terms and apply the distributive property</p> Signup and view all the answers

    What is the sum of the interior angles of a triangle?

    <p>180°</p> Signup and view all the answers

    What is the result of multiplying a polynomial by a monomial?

    <p>Each term in the polynomial is multiplied by the monomial</p> Signup and view all the answers

    What is the purpose of brackets in algebraic expressions?

    <p>To specify the order of operations when necessary</p> Signup and view all the answers

    What is the term for two angles whose sum is 180°?

    <p>Supplementary Angles</p> Signup and view all the answers

    What is the name of the theorem that states a^2 + b^2 = c^2 in a right triangle?

    <p>Pythagorean Theorem</p> Signup and view all the answers

    What is the result of squaring a monomial?

    <p>The square of the coefficient multiplied by the variable squared</p> Signup and view all the answers

    What is the term for a polygon with all sides and angles equal?

    <p>Regular Polygon</p> Signup and view all the answers

    What is the purpose of substitution in algebraic expressions?

    <p>To evaluate the expression for a given value</p> Signup and view all the answers

    What is the rule for dividing a polynomial by a monomial?

    <p>Divide each term in the polynomial by the monomial</p> Signup and view all the answers

    What is the term for a line that intersects two or more other lines?

    <p>Transversal</p> Signup and view all the answers

    What is the result of finding the output numbers for a given input set using a rule?

    <p>A set of numbers that satisfies the rule</p> Signup and view all the answers

    What is the term for angles on opposite sides of the transversal and inside the parallel lines?

    <p>Alternate Angles</p> Signup and view all the answers

    What is the distributive property of division?

    <p>(x + y)/z = x/z + y/z</p> Signup and view all the answers

    What is the term for angles in matching corners when a transversal intersects parallel lines?

    <p>Corresponding Angles</p> Signup and view all the answers

    What is the purpose of factorizing algebraic expressions?

    <p>To simplify the expression</p> Signup and view all the answers

    What is the sum of the interior angles of a square?

    <p>360°</p> Signup and view all the answers

    What is the name of the angle formed when two lines intersect to form equal angles of 90°?

    <p>Right Angle</p> Signup and view all the answers

    What is the term for two lines that intersect to form equal angles of 90°?

    <p>Perpendicular Lines</p> Signup and view all the answers

    What is the formula to calculate the gradient of a line?

    <p>Gradient = (y2 - y1) / (x2 - x1)</p> Signup and view all the answers

    What is a characteristic of a function?

    <p>Each input corresponds to exactly one output</p> Signup and view all the answers

    What do you need to do to draw a graph of a function?

    <p>Identify the function, create a table of values, and plot the points on a coordinate plane</p> Signup and view all the answers

    What is indicated by the slope of a line on a graph?

    <p>How rapidly the output changes with respect to the input</p> Signup and view all the answers

    What is the sum of two angles that are supplementary?

    <p>180°</p> Signup and view all the answers

    What is the relationship between the angles formed when two straight lines intersect?

    <p>The vertically opposite angles are equal</p> Signup and view all the answers

    What is the purpose of a transversal in geometry?

    <p>To intersect two or more lines</p> Signup and view all the answers

    What is a characteristic of a continuous graph?

    <p>The graph is a continuous curve</p> Signup and view all the answers

    What is the purpose of interpreting graphs?

    <p>To understand the relationship between variables</p> Signup and view all the answers

    What is the relationship between the angles formed by a transversal and two parallel lines?

    <p>The corresponding angles are equal</p> Signup and view all the answers

    What is the formula for the area of a rectangle?

    <p>A = l × w</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2(l + w)</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the formula for the area of a rhombus?

    <p>A = 1/2 × d1 × d2</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

    <p>A = 1/2 × (a + b) × h</p> Signup and view all the answers

    What is the formula for the sum of interior angles in a regular polygon?

    <p>(n - 2) × 180°</p> Signup and view all the answers

    How do you construct a perpendicular line through a point not on the line segment?

    <p>Draw a circle with one end point of the line segment as the center and passing through the given point.</p> Signup and view all the answers

    How do you bisect an angle using circles?

    <p>Draw a circle with the vertex of the angle as the center, marking off equal lengths on both arms of the angle.</p> Signup and view all the answers

    What is the point of intersection of the three angle bisectors in a triangle?

    <p>The incenter of the triangle</p> Signup and view all the answers

    What is a characteristic of a function?

    <p>Each input has exactly one output</p> Signup and view all the answers

    What is the sum of the interior angles of a triangle?

    <p>180 degrees</p> Signup and view all the answers

    What is the formula for calculating the gradient of a line?

    <p>(y_2 - y_1) / (x_2 - x_1)</p> Signup and view all the answers

    What is the condition for two triangles to be congruent?

    <p>Same shape and size</p> Signup and view all the answers

    What is a table used for in representing a function?

    <p>To display values of input and corresponding output</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 x base x height</p> Signup and view all the answers

    What does the graph of a function provide?

    <p>A visual representation of the relationship</p> Signup and view all the answers

    What is the name of the formula used to calculate the area of a triangle when all three sides are known?

    <p>Heron's Formula</p> Signup and view all the answers

    What is the name of the theorem used to calculate the length of the hypotenuse of a right triangle?

    <p>Pythagorean Theorem</p> Signup and view all the answers

    What is the purpose of interpreting graphs?

    <p>To identify the type of relationship between variables</p> Signup and view all the answers

    What is an input number in a function?

    <p>The value substituted into the function</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2(l + w)</p> Signup and view all the answers

    What is the variable in a function?

    <p>A quantity that can change</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the sum of the interior angles of a regular polygon?

    <p>Sum = (n - 2) x 180 degrees</p> Signup and view all the answers

    What is the output number in a function?

    <p>The result of applying the function</p> Signup and view all the answers

    What is the condition for constructing a triangle using the SSS method?

    <p>Given three sides</p> Signup and view all the answers

    What is the flow diagram used for in representing a function?

    <p>To illustrate the calculations needed to determine the output number</p> Signup and view all the answers

    What is the purpose of constructing 2D shapes?

    <p>To solve problems in mathematics and real-life situations</p> Signup and view all the answers

    What are the different ways to represent a function?

    <p>Tables, flow diagrams, formulas, and graphs</p> Signup and view all the answers

    What is the formula for the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the perimeter of a rectangle with a length of 6cm and a width of 4cm?

    <p>20cm</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> Signup and view all the answers

    What is the method used to construct a quadrilateral with two angles and an included side?

    <p>Draw the given side, use a protractor to measure the given angles from each endpoint, then draw the other sides and connect the vertices.</p> Signup and view all the answers

    What is the effect of doubling the dimensions of a shape on its area?

    <p>The area quadruples</p> Signup and view all the answers

    What is the formula for a translation by vector (a, b)?

    <p>(x, y) → (x + a, y + b)</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = base × height</p> Signup and view all the answers

    What is the formula for a rotation of 90° counterclockwise about the origin?

    <p>(x, y) → (-y, x)</p> Signup and view all the answers

    What is the formula for a reflection over the line y = x?

    <p>(x, y) → (y, x)</p> Signup and view all the answers

    What is the formula for the area of a kite?

    <p>A = 1/2 × d1 × d2</p> Signup and view all the answers

    What is the formula for a dilation from the origin with scale factor k?

    <p>(x, y) → (kx, ky)</p> Signup and view all the answers

    What is the formula for the surface area of a cube?

    <p>SA = 6s^2</p> Signup and view all the answers

    How do you construct a circle with a given radius from a central point?

    <p>Use a compass to draw a circle with a given radius from a central point.</p> Signup and view all the answers

    What is the formula for the volume of a rectangular prism?

    <p>V = l × w × h</p> Signup and view all the answers

    What is the formula for the surface area of a cylinder?

    <p>SA = 2Ï€r(h + r)</p> Signup and view all the answers

    What is the definition of a translation?

    <p>A transformation that moves every point of a shape the same distance in the same direction.</p> Signup and view all the answers

    What is the center of rotation in a rotation transformation?

    <p>The fixed point around which the shape is turned.</p> Signup and view all the answers

    What is the scale factor in a dilation transformation?

    <p>The factor by which the shape is enlarged or reduced.</p> Signup and view all the answers

    What is the line of reflection in a reflection transformation?

    <p>The line over which the shape is flipped.</p> Signup and view all the answers

    What is the set of numbers that includes natural numbers and 0?

    <p>Whole Numbers</p> Signup and view all the answers

    What property of natural numbers states that when you add two or more natural numbers, you get a natural number again?

    <p>Closure property</p> Signup and view all the answers

    What is the purpose of estimating in calculations?

    <p>To get a close approximation of the answer</p> Signup and view all the answers

    What is the result of multiplying each digit and adding the results in multiplication?

    <p>The product of the numbers</p> Signup and view all the answers

    What is the identity element for addition in the system of whole numbers?

    <p>0</p> Signup and view all the answers

    What type of numbers can be expressed as the quotient of two integers?

    <p>Rational Numbers</p> Signup and view all the answers

    What is the lowest common multiple of two or more numbers?

    <p>The smallest number that is a multiple of each of them</p> Signup and view all the answers

    What is the formula to calculate the average speed?

    <p>Average speed = Distance / Time</p> Signup and view all the answers

    What is the set of numbers that includes both rational and irrational numbers?

    <p>Real Numbers</p> Signup and view all the answers

    What property of integers states that each integer has an additive inverse?

    <p>Additive inverse property</p> Signup and view all the answers

    What is the purpose of prime factorization?

    <p>To express a number as a product of its prime factors</p> Signup and view all the answers

    What type of numbers cannot be expressed as a fraction of two integers?

    <p>Irrational Numbers</p> Signup and view all the answers

    What is the difference between the HP price and the cash price?

    <p>The interest paid on the HP price</p> Signup and view all the answers

    What is the system of natural numbers not closed under?

    <p>Subtraction and division</p> Signup and view all the answers

    What is the purpose of compensating for errors?

    <p>To correct errors introduced by rounding</p> Signup and view all the answers

    What is the ratio of collected apples used to compare?

    <p>The collection rates of different people</p> Signup and view all the answers

    What is the formula to calculate the distance?

    <p>Distance = Average speed × Time</p> Signup and view all the answers

    What is the result of multiplying two negative numbers?

    <p>A positive number</p> Signup and view all the answers

    What is an algebraic expression?

    <p>A sequence of operations that can be described in words or flow diagrams</p> Signup and view all the answers

    What is the correct order of operations when calculating expressions without brackets?

    <p>Multiplication and division first, followed by addition and subtraction</p> Signup and view all the answers

    What is a monomial?

    <p>An expression with one term</p> Signup and view all the answers

    What is the coefficient in the expression 3x^2?

    <p>3</p> Signup and view all the answers

    What is the purpose of creating patterns with black and grey squares?

    <p>To identify constants and variables</p> Signup and view all the answers

    What is the variable in the expression 3x^2?

    <p>x</p> Signup and view all the answers

    What is the result of adding a positive and a negative number?

    <p>Depends on the magnitudes of the numbers involved</p> Signup and view all the answers

    What is the constant in the expression 5x + 4?

    <p>4</p> Signup and view all the answers

    What is the additive inverse of a positive number?

    <p>A negative number</p> Signup and view all the answers

    What is the product of two negative numbers?

    <p>Positive</p> Signup and view all the answers

    What is the purpose of creating a sequence with dots?

    <p>To analyze the pattern of a sequence</p> Signup and view all the answers

    What is the purpose of negative numbers?

    <p>To extend the number system for practical purposes</p> Signup and view all the answers

    What is the purpose of creating a new arrangement pattern?

    <p>To create a new arrangement pattern and identify the variables</p> Signup and view all the answers

    What is the correct order of operations when calculating expressions with brackets?

    <p>Perform the calculations within the brackets first</p> Signup and view all the answers

    What is the result of subtracting a negative number from a positive number?

    <p>A positive number</p> Signup and view all the answers

    What is the property of integers when you add two of them?

    <p>The result is always an integer</p> Signup and view all the answers

    What is the distributive property of multiplication over addition?

    <p>a(b + c) = ab + ac</p> Signup and view all the answers

    What is the square of a number x?

    <p>x^2</p> Signup and view all the answers

    What is the result of adding an integer and its additive inverse?

    <p>Zero</p> Signup and view all the answers

    What is the relationship between subtracting an integer and adding its additive inverse?

    <p>They are equivalent</p> Signup and view all the answers

    What is the result of subtracting a negative number from a positive number?

    <p>A positive number</p> Signup and view all the answers

    What is the purpose of exponents in calculations?

    <p>To indicate repeated multiplication of a number</p> Signup and view all the answers

    What is the rule for calculating the product of a positive and a negative integer?

    <p>The result is always negative</p> Signup and view all the answers

    What does the exponent in scientific notation represent?

    <p>The power of 10 to which the number is raised</p> Signup and view all the answers

    What is the purpose of using the laws of exponents?

    <p>To simplify expressions involving exponents</p> Signup and view all the answers

    What is the result of multiplying a number by its additive inverse?

    <p>Zero</p> Signup and view all the answers

    What is the purpose of analyzing geometric patterns?

    <p>To identify and extend patterns</p> Signup and view all the answers

    What is the result of raising a negative number to an odd power?

    <p>A negative number</p> Signup and view all the answers

    What is the rule for dividing a negative number by a positive number?

    <p>The result is always negative</p> Signup and view all the answers

    What is the purpose of using negative numbers in mathematical calculations?

    <p>To solve equations involving subtraction</p> Signup and view all the answers

    What is the purpose of combining like terms when simplifying an algebraic expression?

    <p>To combine identical terms</p> Signup and view all the answers

    What is the result of multiplying a polynomial by a monomial?

    <p>Each term in the polynomial is multiplied by the monomial</p> Signup and view all the answers

    What is the purpose of using brackets in an algebraic expression?

    <p>To specify the order of operations when necessary</p> Signup and view all the answers

    What is the result of applying the distributive property of division?

    <p>An expression with each term divided by the divisor</p> Signup and view all the answers

    What is the purpose of evaluating an algebraic expression by substituting specific values for the variables?

    <p>To check for equivalence</p> Signup and view all the answers

    What is the result of squaring a binomial?

    <p>A quadratic expression with three terms</p> Signup and view all the answers

    What is the purpose of factoring algebraic expressions?

    <p>To simplify the expression</p> Signup and view all the answers

    What is the result of applying the distributive property to the product of two binomials?

    <p>A quadratic expression with four terms</p> Signup and view all the answers

    What is the purpose of using the rules of algebra when simplifying an expression?

    <p>To follow the conventions of algebra</p> Signup and view all the answers

    What is the result of dividing a polynomial by a monomial?

    <p>Each term in the polynomial is divided by the monomial</p> Signup and view all the answers

    What is a relationship between two variables where each input has exactly one output?

    <p>Function</p> Signup and view all the answers

    What is the formula to calculate the gradient of a line passing through two points (x_1, y_1) and (x_2, y_2)?

    <p>$\frac{y_2 - y_1}{x_2 - x_1}$</p> Signup and view all the answers

    What is the purpose of a flow diagram in representing a function?

    <p>To illustrate the calculations needed to find the output number</p> Signup and view all the answers

    What is the result of applying the rule x - 1000 to natural numbers smaller than 1000?

    <p>Negative numbers</p> Signup and view all the answers

    What is the characteristic of a function?

    <p>Each input has exactly one output</p> Signup and view all the answers

    What is the purpose of a graph in representing a function?

    <p>To provide a visual representation of the relationship</p> Signup and view all the answers

    What is the result of applying the rule $\frac{x}{10} + 10$ to natural numbers smaller than 10?

    <p>Positive numbers between 10 and 11</p> Signup and view all the answers

    What is the purpose of a table in representing a function?

    <p>To show the input numbers and their corresponding function values</p> Signup and view all the answers

    What is the result of applying the rule $30x + 2$ to positive fractions with denominators 2, 3, and 5?

    <p>Positive numbers greater than 2</p> Signup and view all the answers

    What is the key feature to consider when interpreting graphs?

    <p>The slope/gradient, intercepts, continuity, and shape of the graph</p> Signup and view all the answers

    What is the purpose of a flow diagram in representing a function?

    <p>To illustrate the steps to compute outputs from inputs</p> Signup and view all the answers

    What does the slope of a line indicate?

    <p>How rapidly the output changes with respect to the input</p> Signup and view all the answers

    What is the sum of angles on a straight line?

    <p>180°</p> Signup and view all the answers

    What is the result of two angles on a straight line summing up to 180°?

    <p>They are supplementary angles</p> Signup and view all the answers

    What is the formula for calculating the gradient of a line?

    <p>Gradient = y2 - y1 / x2 - x1</p> Signup and view all the answers

    What is a characteristic of a function?

    <p>Each input corresponds to exactly one output</p> Signup and view all the answers

    What is the purpose of graphing functions?

    <p>To visualize the relationship between variables</p> Signup and view all the answers

    What are the corresponding angles when a transversal intersects parallel lines?

    <p>Equal</p> Signup and view all the answers

    What is the sum of co-interior angles when a transversal intersects two lines?

    <p>180°</p> Signup and view all the answers

    What is the result of two lines intersecting to form equal angles of 90°?

    <p>The lines are perpendicular</p> Signup and view all the answers

    What is the sum of the interior angles in a triangle?

    <p>180°</p> Signup and view all the answers

    What is a polygon with all sides and angles equal called?

    <p>Regular Polygon</p> Signup and view all the answers

    What is the property of corresponding angles when a transversal intersects parallel lines?

    <p>They are equal</p> Signup and view all the answers

    What is the sum of co-interior angles when a transversal intersects parallel lines?

    <p>180°</p> Signup and view all the answers

    What is the formula for the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the formula for calculating the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2l + 2w</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> Signup and view all the answers

    What is the definition of a transversal?

    <p>A line that intersects two or more lines</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2Ï€r</p> Signup and view all the answers

    What is the Pythagorean Theorem for a right triangle?

    <p>a^2 + b^2 = c^2</p> Signup and view all the answers

    What is the formula for the surface area of a cube?

    <p>SA = 6s^2</p> Signup and view all the answers

    What is the definition of a regular polygon?

    <p>A polygon with all sides and angles equal</p> Signup and view all the answers

    If the length of a rectangle is doubled and the width is tripled, what happens to the area?

    <p>The area is increased by six times</p> Signup and view all the answers

    What is the property of vertically opposite angles when two lines intersect?

    <p>They are equal</p> Signup and view all the answers

    What is the formula for the volume of a rectangular prism?

    <p>V = l × w × h</p> Signup and view all the answers

    What is the definition of a rectangle?

    <p>A quadrilateral with opposite sides equal and all angles equal to 90°</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

    <p>A = 1/2 × (side_1 + side_2) × height</p> Signup and view all the answers

    If the diameter of a circle is doubled, what happens to the circumference?

    <p>The circumference is doubled</p> Signup and view all the answers

    What is the formula for the area of a rhombus?

    <p>A = 1/2 × d_1 × d_2</p> Signup and view all the answers

    What is the sum of the interior angles in a triangle?

    <p>180 degrees</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = (base * height) / 2</p> Signup and view all the answers

    What is the minimum condition for congruency in triangles?

    <p>Three sides</p> Signup and view all the answers

    What is the formula for the perimeter of a triangle?

    <p>P = a + b + c</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = pi * r^2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2 * pi * r</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = (theta / 360) * pi * r^2</p> Signup and view all the answers

    What is the formula for the sum of interior angles in a polygon?

    <p>Sum = (n - 2) * 180 degrees</p> Signup and view all the answers

    What is the formula for each interior angle in a regular polygon?

    <p>Angle = (n - 2) * 180 / n</p> Signup and view all the answers

    What is the definition of a translation?

    <p>A transformation that moves every point of a shape the same distance in the same direction.</p> Signup and view all the answers

    What is the minimum condition for congruency in triangles using the SAA method?

    <p>One side and two angles</p> Signup and view all the answers

    What is the formula for a translation of a point (x, y) by a vector (a, b)?

    <p>(x, y) → (x + a, y + b)</p> Signup and view all the answers

    What is the result of a 90° counterclockwise rotation of a point (x, y) around the origin?

    <p>(x, y) → (y, x)</p> Signup and view all the answers

    What is the definition of a reflection?

    <p>A transformation that flips a shape over a line called the line of reflection.</p> Signup and view all the answers

    What is the formula for a reflection of a point (x, y) over the x-axis?

    <p>(x, y) → (x, -y)</p> Signup and view all the answers

    What is the definition of dilation?

    <p>A transformation that changes the size of a shape but not its shape.</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

    <p>A = 1/2 (a + b) × h</p> Signup and view all the answers

    What is the formula for a dilation of a point (x, y) by a scale factor k?

    <p>(x, y) → (kx, ky)</p> Signup and view all the answers

    What is the property of a rhombus?

    <p>All sides are equal and opposite angles are equal</p> Signup and view all the answers

    How do you construct a square or rectangle?

    <p>Use a ruler to draw four equal sides for a square, or two pairs of equal sides for a rectangle.</p> Signup and view all the answers

    How do you construct a circle?

    <p>Use a compass to draw a circle with a given radius from a central point.</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2 π r</p> Signup and view all the answers

    What is the sum of interior angles in a regular polygon with n sides?

    <p>(n - 2) × 180°</p> Signup and view all the answers

    What is the method to construct a perpendicular line through a point not on the line segment?

    <p>Draw a circle with one end point of the line segment as the center and passing through the given point, and then draw another circle with the other end point of the line segment as the center and passing through the given point, and join the points where the circles intersect</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = θ/360 × π r^2</p> Signup and view all the answers

    What is the property of a circle?

    <p>All points are equidistant from the center</p> Signup and view all the answers

    What is the method to bisect an angle?

    <p>Draw a circle with the vertex of the angle as the center, marking off equal lengths on both arms of the angle, and then draw two equal circles with centers at the points where the first circle intersects the arms of the angle, and draw a line from the vertex through the points where the two circles intersect</p> Signup and view all the answers

    What is the property of a regular polygon?

    <p>All sides and angles are equal</p> Signup and view all the answers

    What is the formula for the diagonal of a rectangle?

    <p>d = √(l^2 + w^2)</p> Signup and view all the answers

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