Mathematics Grade 7 Term 1 Quiz

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Questions and Answers

The process of changing a figure's position or size is called a ______.

transformation

A figure is considered symmetrical if there is a line called the ______ that divides it into two identical halves.

line of symmetry

The classification of angles includes acute, right, obtuse, and ______ angles.

straight

A ______ shape has length and width, but no thickness.

<p>2D</p> Signup and view all the answers

The sum of the angles in a triangle is always equal to ______ degrees.

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

In the transformation known as rotation, a figure turns around a fixed point called the ______.

<p>center of rotation</p> Signup and view all the answers

A shape is said to have ______ symmetry if two identical parts can be drawn across a central line.

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

An angle greater than 90 degrees but less than 180 degrees is known as an ______ angle.

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

Geometric figures like rectangles, circles, and hexagons are classified as ______ shapes.

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

The two-dimensional shape that has four equal sides and angles is known as a ______.

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

In geometry, transformations include translations, rotations, and ______.

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

A shape is symmetrical if it can be divided into two identical ______.

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

The classification of angles includes acute, right, and ______ angles.

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

The sum of the interior angles of a triangle is always ______ degrees.

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

Geometric figures such as squares, rectangles, and circles are examples of ______ shapes.

<p>2D</p> Signup and view all the answers

In geometry, a line of reflection is called the ______ line.

<p>line of symmetry</p> Signup and view all the answers

An angle that measures exactly 90 degrees is known as a ______ angle.

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

Shapes that can be transformed into one another using rotations, reflections, or translations are called ______.

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

In a parallelogram, opposite angles are ______.

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

An angle that is less than 90 degrees is classified as an ______ angle.

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

A shape with four equal sides and four right angles is a ______.

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

The corner of a shape, where two sides meet, is known as a ______.

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

The process of combining shapes to form a new shape is known as ______.

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

A triangle with all sides and angles equal is known as an ______ triangle.

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

When classifying triangles, a triangle with all sides equal is called an ______.

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

A ______ angle measures exactly 90 degrees.

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

Transformations include translations, reflections, and ______.

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

An angle greater than 90 degrees but less than 180 degrees is called an ______ angle.

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

To measure angles accurately, one should use a ______.

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

The concept of ______ in geometry refers to matching shapes that are the same size and shape.

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

The classification of angles includes acute, obtuse, right, and ______ angles.

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

In geometry, the term ______ refers to the description and identification of shapes based on their sides and angles.

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

A ______ shape is symmetrical if it can be divided into two identical halves.

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

In order to perform a ______, one must slide a geometric figure in a straight line without rotating it.

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

A shape has a ______ line if one half of the shape is a mirror image of the other half.

<p>line of symmetry</p> Signup and view all the answers

A triangle with two equal sides is classified as an ______ triangle.

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

Lines that never meet, no matter how far they are extended, are called ______ lines.

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

A straight line that crosses two other lines is known as a ______ line.

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

Flashcards

Acute Angle

An angle measuring less than 90 degrees.

Right Angle

An angle measuring exactly 90 degrees.

Obtuse Angle

An angle measuring more than 90 degrees but less than 180 degrees.

Straight Angle

An angle measuring exactly 180 degrees.

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Reflex Angle

An angle measuring more than 180 degrees but less than 360 degrees.

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Equilateral Triangle

A triangle with all three sides equal in length.

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Isosceles Triangle

A triangle with at least two sides equal in length.

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Right-angled Triangle

A triangle containing a right angle.

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Translation

A transformation that slides a shape without altering its size or shape.

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Reflection

A transformation that flips a shape across a line of symmetry.

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Rotation

A transformation that turns a shape around a center point.

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Line Segment

A part of a straight line with two endpoints.

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Ray

A part of a straight line that extends infinitely in one direction from a starting point.

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Perimeter

The total distance around the outside of a 2D shape.

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Area

The amount of space inside a 2D shape.

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Integers

Whole numbers and their opposites (positive and negative).

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Exponential Form

A way to write repeated multiplication using a base and an exponent.

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Square Root

The number that, when multiplied by itself, gives the original number.

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Cube Root

The number that, when multiplied by itself three times, gives the original number.

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Commutative Property

The order of numbers in addition or multiplication doesn't change the result.

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Associative Property

The grouping of numbers in addition or multiplication doesn't change the result.

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Geometric Patterns

Repeating shapes or arrangements.

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Numeric Patterns

Repeating numbers in a sequence.

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Number Line

A visual representation of numbers in order.

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Equivalent Representations

Different ways of showing the same relationship or rule.

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Flow Diagrams

Visual representation of a process or sequence with steps.

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Input and Output (values)

Values put in as input to generate an output through a calculation or process

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Four Operations

Addition, subtraction, multiplication, and division.

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Operations with Exponents

Calculations involving numbers with exponents.

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Calculations with Integers

Applying arithmetic (add, subtract, multiply, divide) with integer numbers.

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Area of a Square

Side length * side length.

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Prime factors

Prime numbers that multiply together to make a number.

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Mixed Numbers

A whole number and a fraction combined.

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Decimal Fractions

Fractions expressed using a decimal point.

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Equivalent fractions

Fractions that have the same value although they look different.

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Multiples

The product of a number and any whole number.

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Factors

Numbers that divide exactly into another number.

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Exponents

A shorthand way to write repeated multiplication.

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Place Value

The value of a digit based on its position in a number.

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Functions

Relationships between input and output values.

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Study Notes

Term 1: Mathematics Grade 7

  • Whole Numbers: Review ordering, comparing, and operations (addition, subtraction, multiplication, division). Includes long division, mental calculations, estimation, rounding, and calculator use. Focus also on multiples, factors, LCM, and HCF. Problem-solving skills, ratios, rates, and financial contexts (profit, loss, discount, budgets, accounts, and loans). Covering whole numbers up to 9 digits.

  • Common Fractions: Ordering, comparing, simplifying, working with thousandths, and performing operations (addition, subtraction, multiplication). Use multiples and factors for simplifying fractions before calculations. Converting mixed numbers to common fractions and vice-versa. Calculating percentages, using fractions/mixed numbers in real-world problems.

  • Decimal Fractions: Ordering, comparing, place value (to at least 3 decimal places), rounding (to at least 2 decimal places). Covers operations (addition, subtraction, multiplication, division) involving decimals. Includes decimal fractions to at least 3 decimal places by whole numbers. Decimal fractions to at least 2 decimal places by decimal fractions to at least 1 decimal place and division. Solving problems using decimal fractions, understanding equivalent forms (fractions, decimals, percentages).

Term 2: Mathematics Grade 7

  • Exponents: Determine squares (up to 122) and square roots, cubes (up to 63) and cube roots. Represent whole numbers in exponential form (e.g., ab = axaxax...). Understand and apply laws of operations with exponents and roots. Calculations involving all four operations using exponents and roots.

  • Integers: Counting, ordering, and comparing integers. Performing additions and subtractions with integers. Understanding the commutative and associative properties for integer addition. Using number lines

  • Numeric & Geometric Patterns: Identifying relationships between numbers in patterns (constant difference or ratio), described verbally, in tables, on number lines, or in flow charts. Extend numeric/geometric patterns and justify general rules.

  • Functions & Relationships: Determine input/output values for patterns and relationships using flow diagrams, tables, and/or formulae. Interpret and explain equivalence of relationships in different forms (verbal, flow diagrams, tables, number sentences). Identify rules for calculation of area of squares/rectangles and volume of rectangular prisms.

Term 3: Mathematics Grade 7

  • Construction of Geometric Figures: Measuring and classifying angles (acute, right, obtuse, reflex). Constructing angles, parallel lines, perpendicular lines using protractor, ruler, compass. Identify and name parts of a circle.

  • Geometry of Straight Lines: Define line segment, ray, and straight line. Understand parallel and perpendicular lines and use these concepts to solve geometry problems.

  • Geometry of 2D Shapes: Classifying 2D shapes (triangles, quadrilaterals). Types of triangles (equilateral, isosceles, right-angled). Classify quadrilaterals in terms of sides (length) and angles. Recognize and describe similar and congruent shapes. Solve problems involving unknown sides and angles.

  • Transformations: Identifying, describing, and performing translations, reflections, and rotations. Identifying and drawing lines of symmetry, and performing enlargements/reductions. Describe patterns in shapes using transformation terms.

Term 4: Mathematics Grade 7

  • Area and Perimeter of 2D Shapes: Calculate perimeter and area of regular and irregular polygons (squares, rectangles, triangles). Use appropriate formulas and SI units (mm², cm², m²). Solve problems involving perimeter and area.

  • Surface Area and Volume of 3D Objects: Calculate surface area and volume of cubes and rectangular prisms. Solve problems. Include appropriate SI units (mm³, cm³, m³). Understand relationship between surface area and volume. Use equivalence between units when solving problems.

  • Data Handling: Collect data, design questionnaires for data collection, distinguish between samples/populations, design and use questionnaires (various formats), organize and summarise data with tally marks, tables, stem-and-leaf displays, group into intervals. Calculate mean, median, mode of ungrouped numerical data. Interpret data from bar graphs, double bar graphs, histograms, pie charts. Critically assess data, identify bias, sources of error, report data by drawing conclusions, predictions, and suggestions about sources of bias.

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