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AQA GCSE Maths

Topic questions Geometry and measures Parts of a circle

Parts of a circle

22 questions · 43 marks · about 50 minutes

Parts of a circle questions

AQA 8300 Parts of a circle 22 questions

Paper 1: Non-calculator June 2025 Foundation tier, Question 11 1 mark

In this question use a pair of compasses. The line shown is the diameter of a circle, centre X.

Draw the circle.

[1]
Reveal mark scheme Mark scheme for question 11

Paper 1: Non-calculator June 2025 Foundation tier, Question 15 3 marks

(a)

A sphere has diameter 20 cm

Show that the radius of the sphere is 10 cm

[1]
Reveal mark scheme Mark scheme for question 15(a)
(b)

The volume of a sphere is fraction maths symbolr3 where r is the radius. Work out the volume of a sphere with diameter 20 cm Give your answer in terms of maths symbol

[2]
Reveal mark scheme Mark scheme for question 15(b)

Paper 3: Calculator June 2025 Higher tier, Question 3 3 marks

Here is a circle, centre O

Figure for question 3

Match each letter to the correct word. One has been done for you.

Figure for question 3
[3]
Reveal mark scheme Mark scheme for question 3

Paper 1: Non-calculator November 2024 Foundation tier, Question 16 2 marks

This shape is made from a semicircle and a square.

Figure for question 16

On the centimetre grid below, make an accurate drawing of the shape.

Figure for question 16
[2]
Reveal mark scheme Mark scheme for question 16

Paper 2: Calculator November 2024 Higher tier, Question 1 3 marks

Choose a word from the list below to complete each sentence.

arc centre circumference diameter

radius sector segment tangent

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

Paper 2: Calculator June 2024 Foundation tier, Question 16, also on the Higher paper 2 marks

The diagram shows a circle, centre O, and three straight lines.

Figure for question 16

Use one word to describe each shaded region. Choose from

arc chord sector segment tangent

[2]
Reveal mark scheme Mark scheme for question 16

Paper 2: Calculator June 2024 Higher tier, Question 1, also on the Foundation paper 2 marks

The diagram shows a circle, centre O, and three straight lines.

Figure for question 1

Use one word to describe each shaded region. Choose from

arc chord sector segment tangent

[2]
Reveal mark scheme Mark scheme for question 1

Paper 3: Calculator November 2023 Foundation tier, Question 3 2 marks

(a)

Write down the name of a triangle with three equal sides.

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

Write down the name for the straight line inside this circle.

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

Paper 3: Calculator November 2023 Higher tier, Question 19 4 marks

AC is a diameter of a circle, centre E. E is the midpoint of BD.

Figure for question 19

Prove that triangle ABE is congruent to triangle CDE.

[4]
Reveal mark scheme Mark scheme for question 19

Paper 2: Calculator November 2022 Foundation tier, Question 13 3 marks

A and B are points on a circle. C is the centre of the circle.

Figure for question 13

Tick one box for each statement.

Figure for question 13
[3]
Reveal mark scheme Mark scheme for question 13

Paper 2: Calculator June 2022 Foundation tier, Question 4 1 mark

Which of these parts of a circle is a curve? Circle your answer.

circumference diameter centre radius

[1]
Reveal mark scheme Mark scheme for question 4

Paper 3: Calculator November 2021 Foundation tier, Question 21 1 mark

What is the name of the longest possible chord in a circle? Circle your answer.

tangent circumference radius diameter

[1]
Reveal mark scheme Mark scheme for question 21

Paper 3: Calculator November 2019 Foundation tier, Question 1 1 mark

On a circle, which of these is not a straight line? Circle your answer.

circumference radius chord diameter

[1]
Reveal mark scheme Mark scheme for question 1

Paper 1: Non-calculator November 2018 Foundation tier, Question 4 1 mark

On a circle, which of these is always longer than the diameter? Circle your answer.

chord arc radius circumference

[1]
Reveal mark scheme Mark scheme for question 4

Paper 2: Calculator June 2018 Foundation tier, Question 21 4 marks

(a)

A circle has radius 4.2 cm Work out the length of the circumference. Give your answer to 1 decimal place.

[3]
Reveal mark scheme Mark scheme for question 21(a)
(b)

The circle below has centre O. Draw a sector on the circle.

Figure for question 21
[1]
Reveal mark scheme Mark scheme for question 21(b)

Paper 2: Calculator June 2018 Higher tier, Question 1 1 mark

Here is a circle.

Figure for question 1

Circle the word that describes the shaded part.

segment chord sector arc

[1]
Reveal mark scheme Mark scheme for question 1

Paper 2: Calculator June 2017 Higher tier, Question 12 1 mark

A, B, C, D, E and F are points on a circle.

Figure for question 12

Circle the line that is a diameter of the circle. BE AD AC BF

[1]
Reveal mark scheme Mark scheme for question 12

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