Below are the Secondary topics available for the category "Geometry & measures" at ** Free Math Games**.

These free math topics offer a complete set of basic Geometry & measures topics for Secondary pupils (Grade 7 to Grade 9, ages 11 to 14). The Geometry & measures category is divided into sub-categories such as "Circle", "Measures of 2D shapes", "Measures of 3D shapes", etc. Each sub-category has multiple sub-sub-categories, and within them are the topics with between 6 and 10 question and answer pairs for the lessons, plus additional question answer pairs for the games and tests.

For each question/answer pair in a topic you get the question as picture, equation or text, the spoken question read by a robot, and an answer as both number or text and as audio. For most topics there are also 3 wrong answers prepared for each question.

Parts of the circle 1

Identify the following parts of a circle: radius, diameter, circumference; calculate radius and diameter

P = 2(L+W)

Perimeter of rectangles

Use the formula P=2(L+W) to calculate the perimeters of the given rectangles

P = 3L

Perimeter of triangles

Use the formula P = 3L to calculate the perimeters of each of the equilateral triangles

P = 2(B + S)

Perimeter of parallelograms

Use the formula Perimeter = 2(Base + Side) to calculate the perimeters of the given parallelograms

Perimeter of trapezia

Calculate the perimeters of the given trapezia by adding the lengths of all its sides

Perimeter of compound shapes

Calculate the perimeters of the given compound shapes constructed from parallelograms

A = LW

Area of rectangles

Calculate the areas of the given rectangles using the formula area = length x height, A = L x W

A = BH/2

Area of triangles

Use the formula area = ½ x base x height to calculate the areas of the given equilateral triangles

Area of compound shapes

Calculate the areas of the given compound shapes constructed from parallelograms to 2 d.p.

V = W L H

Calculate the volume of cuboids

Use the standard formula (length x width x height) to calculate the volume of cuboids

Count edges of 3D shapes

Work out the total number of edges for each of the given solids

Count vertices of 3D shapes

Work out the total number of vertices for each of the given solids

Count faces of 3D shapes

Work out the total number of faces for each of the given solids

Angles on a straight line

Use the angles on a straight line rule to find the missing angles

Angles around a point

Use the angles around a point rule to find the missing angles

Angles in a triangle

Use the fact that angles within a triangle sum to 180° to find the missing angles

Lines of symmetry: quadrilaterals

How many lines of symmetry does each of the given shapes have?

Identify types of triangle

Using standard conventions identify isosceles, equilateral, right-angle and scalene triangles

Parts of the circle 2

Identify parts of the circle: arc, chord, sector, segment and tangent

Perimeter of compound shapes

Calculate the perimeters of the given compound shapes constructed from parallelograms

C = 2πr

Circumference of circles

Using the formula C = 2πr calculate the circumference of circles to 2 decimal places

Area of trapezia

In each instance calculate the area of the given trapezium using the formula A = (L1 + L2)/2 x H to 2 d.p.

Area of compound shapes

Calculate the areas of the given compound shapes constructed from parallelograms to 2 d.p.

A = πr²

Area of circles

Using the formula A = πr² calculate the area of the given circles to 2 decimal places

SA = 6H²

Calculate surface area of cubes

Use multiplication or the formula SA = 6H² to calculate the surface area of cubes

SA =

2LW+2LH+2HW

2LW+2LH+2HW

Calculate surface area of cuboids

Use pairs of sides to calculate the total surface area of cuboids using the formula SA =2(LW+LH+HW)

Surface area of triangular prisms

Using a net or otherwise calculate the total surface area of triangular prisms to 2 d.p.

V = L³

Calculate volume of cubes

Use the standard formula L³ (length cubed) to calculate the volume of cubes

V = W L H

Calculate the volume of cuboids

Use the standard formula (length x width x height) to calculate the volume of cuboids

Volume of prisms

Use the standard formula (area of cross-section times length) to calculate the volume of prisms to 2 d.p.

Count edges of 3D shapes

Work out the total number of edges for each of the given solids

Count vertices of 3D shapes

Work out the total number of vertices for each of the given solids

Count faces of 3D shapes

Work out the total number of faces for each of the given solids

Plan view from 3-D shapes

In each instance identify the plan view from the 3-dimensional shape

Front elevation from 3-D shape

In each instance identify the front elevation of a given 3-dimensional shape

Side elevation from 3-D shape

In each instance identify the side elevation of the given 3-dimensional shape

Angles around parallel lines

Use parallel line rules to find alternate, corresponding and allied angles

Vertically opposite angles

In each instance use vertically opposite angles to find the missing angle

Parallel lines and shapes

Use parallel line rules to find the missing angle in each of the given shapes

Angles on a straight line

Use the angles on a straight line rule to find the missing angles

Angles around a point

Use the angles around a point rule to find the missing angles

Angles in a triangle

Use the fact that angles within a triangle sum to 180° to find the missing angles

Identify polygons from properties

Use the given properties to identify the polygon

Lines of symmetry: polygons

Identify the number of lines of symmetry possessed by each of the given polygons

Rotational symmetry: polygons

Identify the order of rotational symmetry for each of the given polygons

Exterior angles of regular polygons

Use the number of sides to calculate the exterior angles for each of the given regular polygons

Number of sides from exterior angle

Use the exterior angle to calculate the number of sides for each of the given regular polygons

Lines of symmetry: quadrilaterals

How many lines of symmetry does each of the given shapes have?

Rotational symmetry: quadrilaterals

Identify the order of rotational symmetry for each of the given quadrilaterals

Describe translations

In each instance identify the correct column vector for the given translation

Column vectors

Identify the correct shape on the graph for the given column vector

Negative scale factors

Identify the correct shape on the graph for the given negative scale factor enlargement

Positive integer scale factors

Identify the correct shape on the graph for the given positive integer scale factor enlargement

Identify types of triangle

Using standard conventions identify isosceles, equilateral, right-angle and scalene triangles

Identify names of sides

Identify whether the marked sides of right angle triangles are the hypotenuse, adjacent or opposite

Parts of the circle 2

Identify parts of the circle: arc, chord, sector, segment and tangent

C = 2πr

Circumference of circles

Using the formula C = 2πr calculate the circumference of circles to 2 decimal places

C = πr + 2r

Circumference of semicircles

Use C = πr + 2r to calculate the circumference of the given semicircles to 2 decimal places

Area of compound shapes

Calculate the areas of the given compound shapes constructed from parallelograms to 2 d.p.

A = πr²

Area of circles

Using the formula A = πr² calculate the area of the given circles to 2 decimal places

SA = 6H²

Calculate surface area of cubes

Use multiplication or the formula SA = 6H² to calculate the surface area of cubes

SA =

2LW+2LH+2HW

2LW+2LH+2HW

Calculate surface area of cuboids

Use pairs of sides to calculate the total surface area of cuboids using the formula SA =2(LW+LH+HW)

Surface area of triangular prisms

Using a net or otherwise calculate the total surface area of triangular prisms to 2 d.p.

V = L³

Calculate volume of cubes

Use the standard formula L³ (length cubed) to calculate the volume of cubes

Volume of prisms

Use the standard formula (area of cross-section times length) to calculate the volume of prisms to 2 d.p.

V = π r² L

Calculate the volume of cylinders

Use the standard formula (area of cross-section times length) to calculate the volume of cylinders to 2 d.p.

Describe the bearing

In each instance identify if the type of bearing is acute, obtuse or reflex

Estimate the bearing

Choose the most appropriate three figure bearing from the given options

Angles around parallel lines

Use parallel line rules to find alternate, corresponding and allied angles

Vertically opposite angles

In each instance use vertically opposite angles to find the missing angle

Parallel lines and shapes

Use parallel line rules to find the missing angle in each of the given shapes

Identify polygons from properties

Use the given properties to identify the polygon

Lines of symmetry: polygons

Identify the number of lines of symmetry possessed by each of the given polygons

Rotational symmetry: polygons

Identify the order of rotational symmetry for each of the given polygons

Exterior angles of regular polygons

Use the number of sides to calculate the exterior angles for each of the given regular polygons

Number of sides from exterior angle

Use the exterior angle to calculate the number of sides for each of the given regular polygons

Interior angle from exterior angle

Use the exterior angle for each regular polygon to calculate the interior angle

Sum of interior angles

Calculate the sum of the interior angles for each of the given polygons

Calculate the hypotenuse

Use Pythagoras' theorem to calculate the hypotenuse for these right-angle triangles to 2 decimal places

Find the missing length

Use Pythagoras' theorem to calculate the length of a side that is not the hypotenuse to 2 decimal places

Rotational symmetry: quadrilaterals

Identify the order of rotational symmetry for each of the given quadrilaterals

Triangles: scale factors

In each instance find the scale factor between the two similar triangles

Triangles: length from scale factors

Use scale factor ratios to work out lengths on the smaller or larger of the given triangles

Other shapes: length from scale factor

Find and use the scale factor to work out lengths on similar shapes that are not triangles

Describe translations

In each instance identify the correct column vector for the given translation

Column vectors

Identify the correct shape on the graph for the given column vector

Describe reflections

Identify the line of symmetry (also called the mirror line) for each of the reflections

Describe rotation

In each instance identify the correct description for the given rotation

Negative scale factors

Identify the correct shape on the graph for the given negative scale factor enlargement

Positive integer scale factors

Identify the correct shape on the graph for the given positive integer scale factor enlargement

Identify congruent, similar triangles

Identify triangles which are congruent, similar or neither

Labels for sides, angles

Identify the standard conventions for labeling the angles and sides of different types of triangles

Identify names of sides

Identify whether the marked sides of right angle triangles are the hypotenuse, adjacent or opposite

In addition to the Geometry & measures topics shown above, the secondary section of Free Math Games has 4 other top level categories of topics to choose from. Each top level category offers a full breadth of topics to cover the secondary curriculum. Use these topics to reinforce key math concepts in a fun and engaging way that will keep your pupils enthused and energised with the math they are learning. The top level categories available are:

Secondary math home | Secondary topics | Secondary lessons | Secondary games | Secondary tests

Preschool math | Elementary math | Secondary math

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