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WJEC GCSE Maths

Topic questions Geometry and measures Symmetry

Symmetry

24 questions · 63 marks · about 1.5 hours

Symmetry questions

WJEC 3300 Symmetry 24 questions

Unit 1: Non-calculator June 2025 Foundation tier, Question 13, also on the Intermediate paper 2 marks

Shade the least number of squares so that the grid below has rotational symmetry of

order 4.

Figure for question 13
[2]
Reveal mark scheme Mark scheme for question 13

Unit 2: Calculator-allowed June 2025 Foundation tier, Question 12 3 marks

Also involves Properties of triangles and quadrilaterals

(a)

Which one of the following quadrilaterals has • rotational symmetry of order 2, and • 2 lines of symmetry?

Circle the correct shape.

Figure for question 12

Square Trapezium Rhombus Kite Parallelogram

[1]
Reveal mark scheme Mark scheme for question 12(a)
(b)

A cuboid measures 8 cm by 13 cm by 7 cm.

Calculate the volume of the cuboid.

[2]
Reveal mark scheme Mark scheme for question 12(b)

Unit 1: Non-calculator June 2025 Intermediate tier, Question 2, also on the Foundation paper 2 marks

Shade the least number of squares so that the grid below has rotational symmetry of

order 4.

Figure for question 2
[2]
Reveal mark scheme Mark scheme for question 2

Unit 2: Calculator-allowed June 2025 Intermediate tier, Question 4 1 mark

Which one of the following quadrilaterals has

• rotational symmetry of order 2, and • 2 lines of symmetry?

Circle the correct shape.

Figure for question 4

Square Trapezium Rhombus Kite Parallelogram

[1]
Reveal mark scheme Mark scheme for question 4

Unit 2: Calculator-allowed June 2024 Foundation tier, Question 3 5 marks

(a)

Write down the special name of each shape below.

(a)(i)
Figure for question 3
[1]
Reveal mark scheme Mark scheme for question 3(a)(i)
(a)(ii)
Figure for question 3
[1]
Reveal mark scheme Mark scheme for question 3(a)(ii)
(b)

Write down the special name of the 3D shape below.

Figure for question 3
[1]
Reveal mark scheme Mark scheme for question 3(b)
(c)

A parallelogram is shown below.

Figure for question 3
(c)(i)

What is the order of rotational symmetry of the parallelogram?

Circle the correct answer.

0 1 2 3 4

[1]
Reveal mark scheme Mark scheme for question 3(c)(i)
(c)(ii)

How many lines of symmetry does the parallelogram have?

Circle the correct answer.

0 1 2 3 4

[1]
Reveal mark scheme Mark scheme for question 3(c)(ii)

Unit 1: Non-calculator November 2023 Foundation tier, Question 5 3 marks

(a)

Draw all the lines of symmetry on the shape below.

Figure for question 5
[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

What is the order of rotational symmetry of the shape below?

Figure for question 5
[1]
Reveal mark scheme Mark scheme for question 5(b)

Unit 1: Non-calculator November 2022 Foundation tier, Question 13, also on the Intermediate paper 2 marks

Shade the least number of squares so that the grid has rotational symmetry of order 2.

The squares you shade must be in the lower two quadrants.

Figure for question 13
[2]
Reveal mark scheme Mark scheme for question 13

Unit 1: Non-calculator November 2022 Intermediate tier, Question 1, also on the Foundation paper 2 marks

Shade the least number of squares so that the grid has rotational symmetry of order 2.

The squares you shade must be in the lower two quadrants.

Figure for question 1
[2]
Reveal mark scheme Mark scheme for question 1

Unit 1: Non-calculator November 2020 Foundation tier, Question 4 2 marks

(a)

One of these letters has exactly one line of symmetry.

Circle this letter.

Figure for question 4
[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

One of these letters has rotational symmetry of order 2.

Circle this letter.

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(b)

Unit 2: Calculator-allowed November 2020 Foundation tier, Question 4 3 marks

(a)

Draw all the lines of symmetry on the rectangle below.

Figure for question 4
[2]
Reveal mark scheme Mark scheme for question 4(a)
(b)

What is the special name given to a triangle that has three lines of symmetry?

[1]
Reveal mark scheme Mark scheme for question 4(b)

Unit 2: Calculator-allowed November 2020 Foundation tier, Question 13, also on the Intermediate paper 4 marks

(a)
Figure for question 13
[2]
Reveal mark scheme Mark scheme for question 13(a)
(b)

Describe fully the single transformation that transforms shape A onto shape B.

Figure for question 13
[2]
Reveal mark scheme Mark scheme for question 13(b)

Unit 2: Calculator-allowed November 2020 Intermediate tier, Question 5, also on the Foundation paper 4 marks

(a)
Figure for question 5 Figure for question 5
[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Describe fully the single transformation that transforms shape A onto shape B.

Figure for question 5
[2]
Reveal mark scheme Mark scheme for question 5(b)

Unit 1: Non-calculator June 2019 Intermediate tier, Question 3 3 marks

(a)

Shade one square so that the diagram below has rotational symmetry of order 2.

Figure for question 3
[1]
Reveal mark scheme Mark scheme for question 3(a)
(b)

Shade two squares so that the diagram below has rotational symmetry of order 4.

Figure for question 3
[1]
Reveal mark scheme Mark scheme for question 3(b)
(c)

Shade two squares so that the diagram below has rotational symmetry of order 3.

Figure for question 3
[1]
Reveal mark scheme Mark scheme for question 3(c)

Unit 2: Calculator-allowed November 2018 Foundation tier, Question 5 4 marks

(a)

Complete the following figure so that it is symmetrical about the line AB.

Figure for question 5
[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Ben draws a shape that has: • 4 sides, • 4 angles of equal size, • a pair of sides of length 4 cm, and • a pair of sides of length 6 cm.

What type of shape has Ben drawn?

Circle the correct answer.

square rhombus trapezium rectangle kite

[1]
Reveal mark scheme Mark scheme for question 5(b)
(c)

Write down the special name for the shape below.

Figure for question 5
[1]
Reveal mark scheme Mark scheme for question 5(c)

Unit 2: Calculator-allowed June 2018 Foundation tier, Question 13 3 marks

(a)

The square drawn below has rotational symmetry of order 4. Place two identical dots (●) on the square so that it will have rotational symmetry of

order 2.

Figure for question 13
[1]
Reveal mark scheme Mark scheme for question 13(a)
(b)

The regular hexagon drawn below has rotational symmetry of order 6. Place three identical dots (●) on the regular hexagon so that it will have rotational symmetry

of order 3.

Figure for question 13
[1]
Reveal mark scheme Mark scheme for question 13(b)
(c)

Which of the following shapes has rotational symmetry of order 3, but has no line symmetry?

Circle the correct shape.

Figure for question 13
[1]
Reveal mark scheme Mark scheme for question 13(c)

Unit 2: Calculator-allowed June 2018 Intermediate tier, Question 2 3 marks

(a)

The square drawn below has rotational symmetry of order 4. Place two identical dots (●) on the square so that it will have rotational symmetry of

order 2.

Figure for question 2
[1]
Reveal mark scheme Mark scheme for question 2(a)
(b)

The regular hexagon drawn below has rotational symmetry of order 6. Place three identical dots (●) on the regular hexagon so that it will have rotational symmetry

of order 3.

Figure for question 2
[1]
Reveal mark scheme Mark scheme for question 2(b)
(c)
Figure for question 2
[1]
Reveal mark scheme Mark scheme for question 2(c)

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