Gr 9 MATH: November Mix
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Questions and Answers

What are the numbers that we use to count called?

  • Integers
  • Rational Numbers
  • Natural Numbers (correct)
  • Whole Numbers

What is the result of adding two or more natural numbers?

  • A natural number (correct)
  • A whole number
  • A rational number
  • An integer

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

  • Not always a whole number
  • Always a whole number
  • Always a natural number
  • Not always a natural number (correct)

What is the purpose of 0 in the system of whole numbers?

<p>To write numbers (C)</p> Signup and view all the answers

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

<p>0 (C)</p> Signup and view all the answers

What is a characteristic of the system of integers?

<p>The sum of two integers can be zero (C)</p> Signup and view all the answers

What is an example of an irrational number?

<p>\sqrt{2} (C)</p> Signup and view all the answers

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

<p>The set of real numbers (D)</p> Signup and view all the answers

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

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

What is the equivalent of adding a negative number?

<p>Subtracting a positive number (A)</p> Signup and view all the answers

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

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

What is the purpose of exponents in mathematics?

<p>To provide a shorthand method for writing repeated multiplication (B)</p> Signup and view all the answers

What is the order of operations when calculating expressions involving exponents?

<p>Parentheses, exponents, multiplication, and division, then addition and subtraction (D)</p> Signup and view all the answers

What is the meaning of a negative exponent?

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

What is the purpose of scientific notation?

<p>To express very large or very small numbers in a compact form (A)</p> Signup and view all the answers

What is the rule for writing numbers in scientific notation?

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

What is the purpose of the laws of exponents?

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

What is the goal of investigating and extending geometric patterns?

<p>To analyze and describe the patterns in the arrangements (C)</p> Signup and view all the answers

What is a relationship between two variables where each input has exactly one output?

<p>Function (B)</p> Signup and view all the answers

What represents the calculations needed to find the output number that corresponds to a given input number?

<p>Formula (D)</p> Signup and view all the answers

What is a method to visually represent the relationship between variables?

<p>Graph (C)</p> Signup and view all the answers

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

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

What is the term for a quantity that can change?

<p>Variable (A)</p> Signup and view all the answers

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

<p>Input Number (B)</p> Signup and view all the answers

What shows the calculations needed to transform input into output?

<p>Flow Diagram (D)</p> Signup and view all the answers

What is a method to list input values and their corresponding output values?

<p>Table (C)</p> Signup and view all the answers

What is a characteristic of a function?

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

What is the purpose of a graph in representing relationships?

<p>To provide a visual representation of the relationship (B)</p> Signup and view all the answers

What is the distributive property of multiplication?

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

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

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

What is the convention for writing a known number in a product?

<p>Write the known number first (C)</p> Signup and view all the answers

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

<p>Transversal (D)</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 (A)</p> Signup and view all the answers

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

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

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

<p>Regular polygon (B)</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 (C)</p> Signup and view all the answers

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

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

What is the formula for evaluating the square of a monomial?

<p>(2x)^2 = 4x^2 (C)</p> Signup and view all the answers

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

<p>The result is equivalent to subtracting the corresponding positive number (B)</p> Signup and view all the answers

What is the name of a triangle with one angle equal to 90°?

<p>Right triangle (D)</p> Signup and view all the answers

How is addition performed in columns?

<p>By adding each digit starting from the rightmost digit (A)</p> Signup and view all the answers

What is the additive inverse of a positive number?

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

What is the rule for simplifying an expression?

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

What is the name of a shape where all points are equidistant from the center?

<p>Circle (B)</p> Signup and view all the answers

What is the result of dividing the number step-by-step in long division?

<p>The remainder is always less than the divisor (C)</p> Signup and view all the answers

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

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

What is the formula for the distributive property of division?

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

What is the distributive property of multiplication over addition?

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

What is the general form for squaring a binomial?

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

What is the name of angles that are equal when the lines are parallel?

<p>Corresponding angles (D)</p> Signup and view all the answers

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

<p>Distance = Speed × Time (A)</p> Signup and view all the answers

What is the name of angles that are on the same side of the transversal and inside the parallel lines?

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

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

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

What is the square root of a number?

<p>The positive square root of the number (A)</p> Signup and view all the answers

What is the formula for calculating simple interest?

<p>Simple interest = Principal × Rate × Time (D)</p> Signup and view all the answers

What is the name of angles that are on opposite sides of the transversal and inside the parallel lines?

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

What is the purpose of brackets in algebraic expressions?

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

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

<p>Interest (B)</p> Signup and view all the answers

What is the formula for the area of a rectangle?

<p>A = l × w (A)</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 for practical purposes (C)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

<p>Omit the multiplication sign (A)</p> Signup and view all the answers

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

<p>Zero (A)</p> Signup and view all the answers

What is the ratio of flour to oatmeal in a biscuit recipe?

<p>5:2 (B)</p> Signup and view all the answers

How is the highest common factor of two or more numbers found?

<p>By multiplying the common prime factors of the numbers (A)</p> Signup and view all the answers

What is the rule for subtracting a negative number?

<p>Subtracting a negative number is the same as adding the corresponding positive number (A)</p> Signup and view all the answers

What is the purpose of compensating for errors in calculations?

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

What is the key characteristic of a function?

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

What does the slope of a graph indicate?

<p>The rate of change of the output with respect to the input (C)</p> Signup and view all the answers

What is the sum of angles on a straight line?

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

What are two angles whose sum is 180° called?

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

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

<p>Transversal (C)</p> Signup and view all the answers

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

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

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

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

What does the continuity of a graph indicate?

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

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

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

What is the correct order of operations when there are no brackets in an algebraic expression?

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

What is the term for an expression with three terms?

<p>Trinomial (A)</p> Signup and view all the answers

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

<p>x (A)</p> Signup and view all the answers

What is the term for a fixed value in an algebraic expression?

<p>Constant (A)</p> Signup and view all the answers

What is the purpose of brackets in algebraic expressions?

<p>To perform calculations first (B)</p> Signup and view all the answers

What is an algebraic expression that has different sequences of operations but the same numerical value?

<p>Equivalent expression (B)</p> Signup and view all the answers

What is the term for an expression with one term?

<p>Monomial (D)</p> Signup and view all the answers

What is the convention for writing algebraic expressions when multiplying a number and a variable?

<p>Write the number first (A)</p> Signup and view all the answers

What is the term for the number multiplying the variable in an algebraic expression?

<p>Coefficient (C)</p> Signup and view all the answers

What do flow diagrams sometimes represent in algebraic language?

<p>Sequences of operations (A)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2πr (A)</p> Signup and view all the answers

What is the area of a sector?

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

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

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

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

<p>A = 1/4 n s^2 cot(π/n) (D)</p> Signup and view all the answers

What is the method for constructing a perpendicular line through a point on a line segment?

<p>Draw two circles with centers at the ends of the line segment and pass through the point (C)</p> Signup and view all the answers

What is the method for bisecting an angle?

<p>Draw a circle with the vertex as the center and mark off equal lengths on both arms of the angle (D)</p> Signup and view all the answers

What is the method for constructing a 45° angle?

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

What is the relationship between the exterior angle of a triangle and the interior opposite angles?

<p>The exterior angle is equal to the sum of the interior opposite angles (D)</p> Signup and view all the answers

What is the criterion for two triangles to be congruent?

<p>They have the same shape and size (A)</p> Signup and view all the answers

What is the minimum condition required to prove congruency of two triangles?

<p>One side and two angles (D)</p> Signup and view all the answers

Which formula is used to calculate the area of a triangle?

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

What is the formula for the perimeter of a rectangle?

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

Which of the following is a type of transformation?

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

What is the formula for the circumference of a circle?

<p>C = 2 * pi * r (C)</p> Signup and view all the answers

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

<p>A = 1/4 * n * s^2 * cot(pi/n) (C)</p> Signup and view all the answers

What is the method of constructing a triangle with two sides and an included angle?

<p>Draw the base, use a protractor to measure the given angle, then draw the other side and connect the vertices (C)</p> Signup and view all the answers

What is the definition of translation?

<p>Moves every point of a shape the same distance in the same direction (C)</p> Signup and view all the answers

What is the formula for the area of a circle?

<p>A = pi * r^2 (C)</p> Signup and view all the answers

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

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

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

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

What is the formula for the area of a triangle?

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

What is the formula for rotating a point 90 degrees counterclockwise about the origin?

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

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

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

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

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

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

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

What is the formula for the volume of a cylinder?

<p>V = πr^2h (B)</p> Signup and view all the answers

What is the formula for the area of a rectangle?

<p>A = l * w (A)</p> Signup and view all the answers

What is the formula for the area of a kite?

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

What is the formula for the perimeter of a rectangle?

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

What is the formula for the perimeter of a square?

<p>P = 4s (B)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2 * pi * r (C)</p> Signup and view all the answers

What is the formula for the area of a circle?

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

What is the formula for the surface area of a rectangular prism?

<p>SA = 2lw + 2lh + 2wh (D)</p> Signup and view all the answers

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

<p>The perimeter doubles (C)</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 (B)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>V = 4/3πr^3 (A)</p> Signup and view all the answers

What is the purpose of converting between units of measurement?

<p>To compare quantities (C)</p> Signup and view all the answers

What is the closure property of natural numbers under addition?

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

Which of the following statements about integers is true?

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

What is the defining characteristic of rational numbers?

<p>They can be expressed as the quotient of two integers. (D)</p> Signup and view all the answers

What is the difference between whole numbers and natural numbers?

<p>Whole numbers include zero, while natural numbers do not. (C)</p> Signup and view all the answers

What is a characteristic of irrational numbers?

<p>They cannot be expressed as a fraction of two integers. (A)</p> Signup and view all the answers

What is the set of real numbers composed of?

<p>Rational and irrational numbers. (A)</p> Signup and view all the answers

What is the purpose of the system of whole numbers?

<p>To extend the natural numbers to include zero. (A)</p> Signup and view all the answers

Which of the following statements is true about the system of integers?

<p>It is closed under addition and subtraction. (B)</p> Signup and view all the answers

What is the purpose of estimating in calculations?

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

How is addition performed in columns?

<p>By adding each digit from right to left (A)</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 (B)</p> Signup and view all the answers

What is the formula for calculating distance?

<p>Distance = Average speed × Time (C)</p> Signup and view all the answers

What is the purpose of compensating for errors in calculations?

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

What is the ratio used for in Moeneba's apple collection?

<p>To compare the number of apples collected by different people (A)</p> Signup and view all the answers

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

<p>It is equivalent to adding the corresponding positive number (C)</p> Signup and view all the answers

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

<p>The result is zero (A)</p> Signup and view all the answers

How is multiplication performed in columns?

<p>By multiplying each digit from right to left (A)</p> Signup and view all the answers

What is the product of two negative numbers?

<p>Positive (A)</p> Signup and view all the answers

What is the formula for calculating average speed?

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

What is the additive inverse of a positive number?

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

What is the formula for calculating time?

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

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

<p>The result is negative (A)</p> Signup and view all the answers

What is the distributive property of multiplication?

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

What is the equivalent of subtracting a positive number from another positive number?

<p>Adding the corresponding negative number (D)</p> Signup and view all the answers

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

<p>The result is zero (B)</p> Signup and view all the answers

What is the purpose of negative numbers in mathematics?

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

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

<p>The result is negative (B)</p> Signup and view all the answers

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

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

What is the equivalent of adding a negative number?

<p>Subtracting a positive number (A)</p> Signup and view all the answers

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

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

What is the purpose of exponents in mathematics?

<p>To simplify multiplication (B)</p> Signup and view all the answers

What is the rule for writing numbers in scientific notation?

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

What is the purpose of the laws of exponents?

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

What is the meaning of a negative exponent?

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

What is the goal of investigating and extending geometric patterns?

<p>To analyze and extend patterns (D)</p> Signup and view all the answers

What is the order of operations when calculating expressions involving exponents?

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

What is the result of multiplying a number in exponent form by another number in exponent form with the same base?

<p>The sum of the exponents (D)</p> Signup and view all the answers

What is the purpose of brackets in algebraic expressions?

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

What is the result of multiplying $(2x + 3)(x - 2)$?

<p>$2x^2 - x - 6$ (D)</p> Signup and view all the answers

What is the equivalent expression for $(x + 2)^2$?

<p>$x^2 + 4x + 4$ (C)</p> Signup and view all the answers

What is the result of dividing $x^2 + 3x - 2$ by $x + 1$?

<p>$x - 2$ (D)</p> Signup and view all the answers

What is the purpose of the distributive property in algebra?

<p>To multiply polynomials by monomials (B)</p> Signup and view all the answers

What is the result of evaluating $(3x)^2$?

<p>$9x^2$ (C)</p> Signup and view all the answers

What is the purpose of substituting values into algebraic expressions?

<p>To evaluate the expression (B)</p> Signup and view all the answers

What is the equivalent expression for $x - 1000$ when applied to natural numbers smaller than 1000?

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

What is the purpose of the rule in functions and relationships?

<p>To multiply a number by 5 and subtract the result from 50 (A)</p> Signup and view all the answers

What is the result of simplifying $2x^2 + 3x + 2x + 1$?

<p>$2x^2 + 5x + 1$ (A)</p> Signup and view all the answers

What is a sequence of operations that can also be described in words or flow diagrams?

<p>An algebraic expression (D)</p> Signup and view all the answers

What is the term for an expression with one term only?

<p>Monomial (D)</p> Signup and view all the answers

What is the rule for calculating expressions without brackets?

<p>Perform multiplication and division first, then addition and subtraction (D)</p> Signup and view all the answers

What is the term for a symbol, often x, representing the unknown value?

<p>Variable (A)</p> Signup and view all the answers

What is the purpose of identifying constants and variables in patterns?

<p>To understand the relationships between the terms (B)</p> Signup and view all the answers

What is the term for expressions that have different sequences of operations but the same numerical value?

<p>Equivalent expressions (A)</p> Signup and view all the answers

What is the convention for writing a known number in a product?

<p>Write the known number first (D)</p> Signup and view all the answers

What is the purpose of expanding and simplifying algebraic expressions?

<p>To make the expression easier to understand (B)</p> Signup and view all the answers

What is the rule for performing calculations within brackets?

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

What is the term for an expression which is a sum of three terms?

<p>Trinomial (B)</p> Signup and view all the answers

What is the key concept in functions that refers to the specific output corresponding to a given input?

<p>Function Value (D)</p> Signup and view all the answers

What type of angles are formed when two lines intersect to form equal angles of 90°?

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

What is the term for the value substituted into a function to produce an output?

<p>Input Number (D)</p> Signup and view all the answers

What is the characteristic of a graph that indicates how rapidly the output changes with respect to the input?

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

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

<p>Transversal (B)</p> Signup and view all the answers

What is the term for the quantity that can change in a function?

<p>Variable (A)</p> Signup and view all the answers

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

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

What is the method used to visually represent the relationship between variables?

<p>Graph (B)</p> Signup and view all the answers

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

<p>Vertically Opposite Angles (A)</p> Signup and view all the answers

What is the purpose of identifying the function in drawing graphs of functions?

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

What is the primary purpose of a flow diagram in representing functions?

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

Which of the following is a characteristic of a function?

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

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

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

What is the purpose of a graph in representing relationships?

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

What is the formula for calculating the gradient of a line passing through two points?

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

Which of the following representations of a function shows the calculations needed to transform input into output?

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

What is the term for a quantity that can change?

<p>Variable (C)</p> Signup and view all the answers

What is the purpose of a table in representing functions?

<p>To list input values and their corresponding output values (B)</p> Signup and view all the answers

What is the role of the formula in representing a function?

<p>To describe the calculations needed to determine the output number (C)</p> Signup and view all the answers

What is the key feature to consider when interpreting graphs?

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

What is the minimum condition required to prove congruency in two triangles?

<p>Three sides (SSS) (C)</p> Signup and view all the answers

What is the formula to calculate the area of a triangle?

<p>A = (1/2) × base × height (D)</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 are known?

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

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

<p>C = 2 × π × radius (D)</p> Signup and view all the answers

What is the name of the transformation that moves every point of a shape the same distance in the same direction?

<p>Translation (B)</p> Signup and view all the answers

What is the minimum condition required to construct a triangle?

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

What is the formula to calculate the perimeter of a triangle?

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

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

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

What is the name of the polygon with four sides of equal length?

<p>Rhombus (C)</p> Signup and view all the answers

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

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

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

<p>A = π × radius² (A)</p> Signup and view all the answers

What is the name of the formula used to calculate the sum of interior angles of a polygon?

<p>Formula for the Sum of Angles of a Polygon (C)</p> Signup and view all the answers

What is the relationship between the angles on opposite sides of a transversal and inside the parallel lines?

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

What is the sum of co-interior angles?

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

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

<p>Isosceles Triangle (A)</p> Signup and view all the answers

What is the formula for the area of a rectangle?

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

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

<p>Transversal (C)</p> Signup and view all the answers

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

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

What is the formula for the area of a circle?

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

What is the name of a polygon with all sides equal?

<p>Rhombus (A)</p> Signup and view all the answers

What is the formula for the area of a sector?

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

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

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

What is the formula for the perimeter of a polygon?

<p>P = n × s (C)</p> Signup and view all the answers

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

<p>A = 1/4 × n × s^2 × cot(π/n) (A)</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 two circles with each end point of the line segment as the center and passing through the point. (B)</p> Signup and view all the answers

What is the method to 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. (A)</p> Signup and view all the answers

What is the characteristic of an angle bisector in a triangle?

<p>It is a line that cuts an angle in half. (C)</p> Signup and view all the answers

What is the relationship between the exterior angle and interior opposite angles of a triangle?

<p>The exterior angle is equal to the sum of the interior opposite angles. (D)</p> Signup and view all the answers

What is the criteria for congruency of two triangles?

<p>They have the same shape and size. (C)</p> Signup and view all the answers

What is the purpose of constructing special angles without a protractor?

<p>To construct angles that are multiples of 30, 45, or 60 degrees. (B)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

What is the formula for the area of a parallelogram?

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

What is the formula for the perimeter of a rectangle?

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

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

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

What is the formula for converting between units of length?

<p>1 cm = 10 mm (B)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2πr (D)</p> Signup and view all the answers

What is the formula for the area of a circle?

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

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

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

What is the formula for the volume of a cylinder?

<p>V = πr^2h (D)</p> Signup and view all the answers

What is the formula for the area of a triangle?

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

What is the formula for the surface area of a rectangular prism?

<p>SA = 2lw + 2lh + 2wh (D)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2πr (C)</p> Signup and view all the answers

What is the formula for the area of a kite?

<p>A = 1/2 × d_1 × d_2 (A)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>V = 4/3πr^3 (C)</p> Signup and view all the answers

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

<p>SA = πr(l + r) (C)</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 (C)</p> Signup and view all the answers

What is the formula for evaluating the average speed?

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

What is the highest common factor of two or more numbers?

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

What is the method used to simplify the calculation of multiplying two large numbers?

<p>Expanded notation (C)</p> Signup and view all the answers

What is the purpose of compensating for errors in calculations?

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

What is the formula for calculating the distance travelled?

<p>Distance = Average speed × Time (C)</p> Signup and view all the answers

What is the method used to find the lowest common multiple of two or more numbers?

<p>Multiplying the prime factors of the numbers (C)</p> Signup and view all the answers

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

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

What is the method used to subtract one large number from another?

<p>Column subtraction (A)</p> Signup and view all the answers

What is the term for the ratio of the number of apples collected by different people?

<p>Ratio of collection (B)</p> Signup and view all the answers

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

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

What is the product of two negative integers?

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

What is the additive inverse of a positive number?

<p>The corresponding negative number (D)</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 (D)</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 for practical purposes (C)</p> Signup and view all the answers

What is the distributive property of multiplication?

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

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

<p>Zero (D)</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 a positive number (C)</p> Signup and view all the answers

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

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

What is the purpose of the exchange rate in currency exchange?

<p>To convert one currency to another (B)</p> Signup and view all the answers

What is the property of natural numbers when you subtract one natural number from another?

<p>The answer is not always a natural number. (D)</p> Signup and view all the answers

What is the relationship between the system of whole numbers and the system of natural numbers?

<p>The system of natural numbers is a subset of the system of whole numbers. (C)</p> Signup and view all the answers

What is the characteristic of integers that is not true for whole numbers?

<p>The sum of two integers can be zero. (A)</p> Signup and view all the answers

What is the definition of rational numbers?

<p>Numbers that can be expressed as the quotient of two integers. (B)</p> Signup and view all the answers

What is the difference between rational and irrational numbers?

<p>Rational numbers can be expressed as a fraction, and irrational numbers cannot. (A)</p> Signup and view all the answers

What is the set of real numbers comprised of?

<p>Both rational and irrational numbers. (D)</p> Signup and view all the answers

What is a characteristic of the system of natural numbers when you add two or more natural numbers?

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

What is the property of the system of integers that is not true for the system of natural numbers?

<p>The system of integers is closed under subtraction. (A)</p> Signup and view all the answers

What is the term for an expression with one term only in algebraic expressions?

<p>Monomial (D)</p> Signup and view all the answers

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

<p>x (B)</p> Signup and view all the answers

What is the rule for calculating expressions with brackets?

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

What is the term for the number multiplying the variable in an algebraic expression?

<p>Coefficient (B)</p> Signup and view all the answers

What is the order of operations when calculating expressions without brackets?

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

What is the term for an expression which is a sum of two terms?

<p>Binomial (B)</p> Signup and view all the answers

What is the term for a fixed value in an algebraic expression?

<p>Constant (C)</p> Signup and view all the answers

What is the convention for writing a known number in a product?

<p>Write the known number first (D)</p> Signup and view all the answers

What is the purpose of algebraic expressions?

<p>To represent a sequence of operations (A)</p> Signup and view all the answers

What is the term for equivalent expressions that have different sequences of operations but the same numerical value?

<p>Equivalent expressions (A)</p> Signup and view all the answers

When a larger number is subtracted from a smaller number, what is the result?

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

What is the equivalent of adding a negative number?

<p>Subtracting a positive number (A)</p> Signup and view all the answers

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

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

What is the purpose of exponents in mathematics?

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

What is the rule for writing numbers in scientific notation?

<p>Move the decimal point to the left for large numbers and to the right for small numbers (A)</p> Signup and view all the answers

What is the purpose of the laws of exponents?

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

What is the result of multiplying a negative number by a negative number?

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

What is the purpose of investigating and extending geometric patterns?

<p>To identify and extend patterns in arrangements of tiles (B)</p> Signup and view all the answers

What is the relationship between the number of yellow tiles and the number of blue tiles in a geometric pattern?

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

What is the purpose of solving exponential equations?

<p>To equate the exponents on both sides of the equation (A)</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 (D)</p> Signup and view all the answers

What is the purpose of the distributive property of division?

<p>To divide a polynomial by a monomial or an integer (A)</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 (A)</p> Signup and view all the answers

What is the general form for squaring a binomial?

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

What is the result of evaluating the square of a monomial?

<p>The monomial is squared (D)</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 (A)</p> Signup and view all the answers

What is the convention for writing a known number in a product?

<p>Write the known number first (A)</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 set of natural numbers smaller than 10?

<p>A set of positive numbers (A)</p> Signup and view all the answers

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

<p>To find the product of two polynomials (D)</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 (B)</p> Signup and view all the answers

Which of the following is a characteristic of a function?

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

What is the purpose of a graph in representing relationships?

<p>To provide a visual representation of the relationship (C)</p> Signup and view all the answers

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

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

What is the term for a quantity that can change?

<p>Variable (A)</p> Signup and view all the answers

What is the purpose of a flow diagram?

<p>To illustrate the calculations needed to produce the output numbers (B)</p> Signup and view all the answers

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

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

What is a method to visually represent the relationship between variables?

<p>Graph (C)</p> Signup and view all the answers

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

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

What is the purpose of a table in representing relationships?

<p>To list input values and their corresponding output values (B)</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 (D)</p> Signup and view all the answers

What is the gradient of a line that passes through the points (2, 3) and (4, 5)?

<p>2/3 (A)</p> Signup and view all the answers

Which of the following is a characteristic of a function?

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

What is the purpose of a graph in representing relationships?

<p>To visualize the relationship between variables (A)</p> Signup and view all the answers

When interpreting graphs, what does the slope or gradient indicate?

<p>The rate at which the output changes with respect to the input (D)</p> Signup and view all the answers

What is the sum of the interior angles of a straight line?

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

What is the name of the angles formed when two lines intersect, and the sum of these angles is 180°?

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

When a transversal intersects two parallel lines, what can be said about the corresponding angles?

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

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

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

What is the purpose of drawing graphs of functions?

<p>To visualize the relationship between variables (B)</p> Signup and view all the answers

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

<p>Transversal (D)</p> Signup and view all the answers

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

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

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

<p>Transversal (B)</p> Signup and view all the answers

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

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

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

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

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

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

What is the purpose of identifying corresponding angles?

<p>To determine the properties of a transversal (C)</p> Signup and view all the answers

What is the name of angles that are equal when the lines are parallel?

<p>Corresponding angles (A)</p> Signup and view all the answers

What is the formula for the area of a rectangle?

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

What is the purpose of identifying alternate angles?

<p>To identify parallel lines (C)</p> Signup and view all the answers

What is the name of a shape where all points are equidistant from the center?

<p>Circle (D)</p> Signup and view all the answers

What is the formula to calculate the area of a sector?

<p>$A = rac{ heta}{360} imes \pi r^2$ (D)</p> Signup and view all the answers

What is the formula to calculate the arc length of a sector?

<p>$L = rac{ heta}{360} imes 2 \pi r$ (B)</p> Signup and view all the answers

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

<p>$(n - 2) imes 180^\circ$ (B)</p> Signup and view all the answers

What is the formula to calculate the area of a regular polygon with n sides and side length s?

<p>$A = rac{1}{2} n s^2 \cot(rac{\pi}{n})$ (D)</p> Signup and view all the answers

What is the formula to calculate the diagonal of a rectangle with length l and width w?

<p>$d = \sqrt{l^2 + w^2}$ (C)</p> Signup and view all the answers

How can 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. (A)</p> Signup and view all the answers

How can 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. (B)</p> Signup and view all the answers

What is the characteristic of an angle bisector in a triangle?

<p>The angle bisector is always equidistant from each side of the triangle. (B)</p> Signup and view all the answers

What is the relationship between the exterior angle of a triangle and the interior opposite angles?

<p>The exterior angle is equal to the sum of the interior opposite angles. (A)</p> Signup and view all the answers

What is the criterion for two triangles to be congruent?

<p>Two triangles are congruent if they have the same shape and size. (B)</p> Signup and view all the answers

Which of the following conditions is not a minimum condition for congruency?

<p>One Side and One Angle (B)</p> Signup and view all the answers

What is the formula for the area of a triangle using Heron's Formula?

<p>A = √(s(s - a)(s - b)(s - c)) (C)</p> Signup and view all the answers

What is the formula for the perimeter of a rectangle?

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

What is the formula for the area of a circle?

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

How do you construct a triangle using the SSS method?

<p>Use a compass to draw arcs from each endpoint of the base to intersect and form the other vertices. (C)</p> Signup and view all the answers

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

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

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

<p>A = 1/4 n s^2 cot(π/n) (D)</p> Signup and view all the answers

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

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

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

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

What is the definition of a translation in transformation geometry?

<p>A transformation that moves every point of a shape the same distance in the same direction. (C)</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) -&gt; (kx, ky) (C)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2πr (A)</p> Signup and view all the answers

What is the formula for the area of a rectangle?

<p>A = l * w (A)</p> Signup and view all the answers

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

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

What is the formula for the perimeter of a triangle?

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

What is the formula for the area of a sector?

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

What is the effect of doubling the dimensions of a shape?

<p>The area is quadrupled, and the perimeter is doubled. (B)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2πr (C)</p> Signup and view all the answers

What is the formula for the area of a circle?

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

What is the formula for converting from kilometers to meters?

<p>1 km = 1000 m (C)</p> Signup and view all the answers

What is the formula for the area of a rectangle?

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

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

<p>SA = 2πr(h + r) (C)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>V = 4/3πr^3 (B)</p> Signup and view all the answers

What is the formula for the perimeter of a rectangle?

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

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

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

What is the formula for the volume of a cone?

<p>V = 1/3πr^2h (B)</p> Signup and view all the answers

What is the formula for the circumference of a circle?

<p>C = 2πr (D)</p> Signup and view all the answers

Which of the following statements is true about the system of natural numbers?

<p>It is closed under addition and multiplication. (D)</p> Signup and view all the answers

What is the main difference between the system of whole numbers and the system of natural numbers?

<p>The presence of 0 in the system of whole numbers. (D)</p> Signup and view all the answers

Which of the following types of numbers is not a rational number?

<p>Irrational number (D)</p> Signup and view all the answers

What is the main characteristic of the system of integers?

<p>It includes negative numbers. (A)</p> Signup and view all the answers

What is the main difference between rational and irrational numbers?

<p>Rational numbers can be expressed as fractions, while irrational numbers cannot. (A)</p> Signup and view all the answers

Which of the following statements is true about the system of real numbers?

<p>It includes both rational and irrational numbers. (A)</p> Signup and view all the answers

What is the additive inverse of a natural number?

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

Which of the following is a property of the system of natural numbers?

<p>The sum of two natural numbers is always a natural number. (D)</p> Signup and view all the answers

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

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

What is the product of two negative integers?

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

What is the additive inverse of a number?

<p>The opposite of the number (B)</p> Signup and view all the answers

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

<p>Zero (B)</p> Signup and view all the answers

What is the purpose of negative numbers in the number system?

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

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

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

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

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

What is the distributive property of multiplication over addition?

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

What is the equivalent of subtracting a negative number?

<p>Adding a positive number (B)</p> Signup and view all the answers

What is the square root of a number?

<p>A value that when multiplied by itself gives the original number (B)</p> Signup and view all the answers

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

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

What is the purpose of the laws of exponents in mathematics?

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

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

<p>Zero (A)</p> Signup and view all the answers

What is the result of raising a number to a negative exponent?

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

What is the purpose of exchange rates in currency exchange?

<p>To convert one currency to another (B)</p> Signup and view all the answers

What is the purpose of scientific notation in mathematics?

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

What is the rule for writing numbers in scientific notation?

<p>Move the decimal point to the left and the exponent is negative (B)</p> Signup and view all the answers

What is the goal of investigating and extending geometric patterns?

<p>To identify and extend geometric patterns (A)</p> Signup and view all the answers

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

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

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

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

What is the primary purpose of estimating in calculations?

<p>To simplify complex calculations (D)</p> Signup and view all the answers

In the process of long division, what is the remainder when the division is complete?

<p>Less than the divisor (B)</p> Signup and view all the answers

What is the formula to calculate the highest common factor (HCF) of two numbers?

<p>Multiply the common prime factors of the numbers (D)</p> Signup and view all the answers

What is the purpose of compensating for errors in estimation?

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

What is the formula to calculate the lowest common multiple (LCM) of two numbers?

<p>Multiply all the prime factors of both numbers without repeating any factors (D)</p> Signup and view all the answers

In the context of ratio and rate problems, what does the ratio of collected apples represent?

<p>The comparison of collection rates between different people (B)</p> Signup and view all the answers

What is the formula to calculate the average speed of an object?

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

What is the purpose of prime factorization in determining the LCM and HCF of two numbers?

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

What is the total HP price in a hire purchase agreement?

<p>Deposit + Total instalments + Interest (A)</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, while compound interest is calculated on the principal amount and interest (D)</p> Signup and view all the answers

What is the purpose of brackets in an algebraic expression?

<p>To perform the operations within the brackets first (B)</p> Signup and view all the answers

What is the difference between a monomial, binomial, and trinomial?

<p>The number of terms in the expression (A)</p> Signup and view all the answers

What is the convention for writing a known number in a product?

<p>Write the known number first in the product (C)</p> Signup and view all the answers

What is the purpose of equivalent algebraic expressions?

<p>To show different forms of the same expression (D)</p> Signup and view all the answers

What is the rule for simplifying an algebraic expression?

<p>Combine like terms and remove any brackets (C)</p> Signup and view all the answers

What is the purpose of the order of operations?

<p>To evaluate expressions with multiple operations (D)</p> Signup and view all the answers

What is the difference between a variable and a constant in an algebraic expression?

<p>A variable is an unknown value, while a constant is known (A)</p> Signup and view all the answers

What is the purpose of algebraic expressions?

<p>To represent relationships between variables (A)</p> Signup and view all the answers

What is the convention for writing algebraic expressions?

<p>Omit the multiplication sign in products (D)</p> Signup and view all the answers

What is the purpose of expanding and simplifying algebraic expressions?

<p>To evaluate the expressions more easily (B)</p> Signup and view all the answers

Which of the following is NOT a convention for writing algebraic expressions?

<p>Write the multiplication sign in all expressions. (A)</p> Signup and view all the answers

What is the result of simplifying the expression $(2x^2 + 3x) + (x^2 - 2x)?]

<p>$3x^2 + x$ (B)</p> Signup and view all the answers

What is the result of expanding the binomial $(x + 2)^2?$

<p>$x^2 + 4x + 4$ (A)</p> Signup and view all the answers

What is the result of evaluating the expression $x^2 - 4x + 4$ when $x = 2?$

<p>$0$ (A)</p> Signup and view all the answers

What is the result of dividing the polynomial $x^2 + 2x$ by the monomial $x?$

<p>$x + 2$ (C)</p> Signup and view all the answers

What is the result of finding the square root of $16x^2?$

<p>$4x$ (A)</p> Signup and view all the answers

What is the result of applying the rule 'multiply by 5 and subtract the result from 50' to the input number $4?$

<p>$30$ (A)</p> Signup and view all the answers

What is the result of finding the output number for the input number $8$ using the rule 'multiply by 2 and add 1'?

<p>$17$ (C)</p> Signup and view all the answers

What is the result of evaluating the expression $(2x^2 - 3x)(x + 2)?$

<p>$2x^3 + x^2 - 6x - 6$ (B)</p> Signup and view all the answers

What is the result of simplifying the expression $rac{x^2 + 3x - 2}{x + 1}?$

<p>$x - 2$ (A)</p> Signup and view all the answers

What is the common property of all representations of a function?

<p>They all have a unique output for each input (B)</p> Signup and view all the answers

Which of the following is not a way to represent a function?

<p>Histogram (D)</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 produce output values (A)</p> Signup and view all the answers

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

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

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

<p>To visualize the relationship between variables (B)</p> Signup and view all the answers

Which of the following is a key feature to consider when interpreting graphs?

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

What is the term for a quantity that can change?

<p>Variable (D)</p> Signup and view all the answers

What represents the value substituted into a function?

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

What is the formula for the function ( rac{x}{10} + 10 ) when applied to natural numbers smaller than 10?

<p>Positive numbers between 10 and 11 (A)</p> Signup and view all the answers

What is the formula for the function ( 30x + 2 ) when applied to positive fractions with denominators 2, 3, and 5?

<p>Positive numbers greater than 2 (A)</p> Signup and view all the answers

What is the formula to find the area of a sector of a circle?

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

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

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

What is the method used to construct perpendicular lines?

<p>Using circles (A)</p> Signup and view all the answers

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

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

What is the formula to find the diagonal of a rectangle?

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

What is the method used to bisect an angle?

<p>Using circles (B)</p> Signup and view all the answers

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

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

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

<p>Transversal (B)</p> Signup and view all the answers

What is the formula to find the area of a regular polygon?

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

What is the method used to construct a 45° angle?

<p>Bisecting a 90° angle (D)</p> Signup and view all the answers

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

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

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

<p>Isosceles Triangle (A)</p> Signup and view all the answers

What is the formula for the area of a rhombus?

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

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

<p>Transversal (C)</p> Signup and view all the answers

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

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

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

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

What is the formula for the perimeter of a rectangle?

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

What is the name of a shape where all points are equidistant from the center?

<p>Circle (C)</p> Signup and view all the answers

What is the formula for the area of a parallelogram?

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

What is the name of a triangle with all three sides and angles equal?

<p>Equilateral Triangle (C)</p> Signup and view all the answers

What is the purpose of identifying the function value in a given input-output pair?

<p>To understand the input-output behavior of the function (B)</p> Signup and view all the answers

When interpreting graphs, what does the continuity of the graph indicate?

<p>Whether the function is continuous or has breaks (C)</p> Signup and view all the answers

What is the purpose of creating a table of values when drawing a graph of a function?

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

What is the term for the angle formed when two lines intersect, and the vertically opposite angles are equal?

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

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

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

What is the purpose of identifying the supplementary angles when two lines intersect?

<p>To verify that the sum of the angles is 180° (A)</p> Signup and view all the answers

What is the term for the line that intersects two or more other lines, and forms corresponding angles that are equal?

<p>Transversal (A)</p> Signup and view all the answers

What is the purpose of using a flow diagram to represent a function?

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

What is the term for the angles formed when two lines intersect, and the sum of the angles is 180°?

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

What is the purpose of identifying the input and output numbers in a function?

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

What is the minimum condition required to prove congruency of two triangles?

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

What is the formula to find the area of a triangle, given the base and height?

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

What is the name of the formula used to find the area of a triangle, given the lengths of all three sides?

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

What is the name of the theorem used to find the length of the hypotenuse of a right-angled triangle?

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

What is the formula to find the circumference of a circle?

<p>C = 2 × π × radius (C)</p> Signup and view all the answers

What is the type of transformation that moves every point of a shape the same distance in the same direction?

<p>Translation (A)</p> Signup and view all the answers

What is the formula to find the area of a sector of a circle?

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

What is the formula to find the perimeter of a regular polygon?

<p>P = n × side length (D)</p> Signup and view all the answers

What is the name of the process used to construct a triangle, given three sides?

<p>SSS Construction (D)</p> Signup and view all the answers

What is the formula to find the sum of the interior angles of a polygon?

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

What is the formula for the surface area of a rectangular prism?

<p>SA = 2lw + 2lh + 2wh (A)</p> Signup and view all the answers

What is the formula for the volume of a sphere?

<p>V = (4/3)πr^3 (A)</p> Signup and view all the answers

What is the formula for the perimeter of a rectangle?

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

What is the formula for the area of a rhombus?

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

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

<p>SA = 2πr(h + r) (B)</p> Signup and view all the answers

What is the formula for the volume of a cone?

<p>V = (1/3)πr^2h (D)</p> Signup and view all the answers

What is the formula for the area of a triangle?

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

What is the formula for the diameter of a circle?

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

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

<p>It becomes (-y, x). (D)</p> Signup and view all the answers

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

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

What is the area of a kite with diagonals of 10 cm and 15 cm?

<p>37.5 cm² (B)</p> Signup and view all the answers

What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

<p>26 cm (C)</p> Signup and view all the answers

What is the result of doubling both dimensions of a rectangle?

<p>The perimeter doubles and the area quadruples. (C)</p> Signup and view all the answers

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

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

What is the area of a circle with a radius of 4 cm?

<p>16π cm² (B)</p> Signup and view all the answers

What is the result of a 180° rotation on a point (x, y)?

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

What is the perimeter of a square with a side length of 6 cm?

<p>24 cm (C)</p> Signup and view all the answers

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

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

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