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OCR GCSE Maths

Topic questions Geometry and measures Parts of a circle

Parts of a circle

7 questions · 21 marks · about 20 minutes

Parts of a circle questions

OCR J560 Parts of a circle 7 questions

Paper 3 June 2025 Foundation tier, Question 1 3 marks

The diagram shows a circle, centre O, and a straight line.

Figure for question 1
(a)

Write down the mathematical name for

(a)(i)

the straight line

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

the perimeter of the circle.

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

On the diagram, draw a diameter.

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

Paper 2 June 2024 Foundation tier, Question 4 1 mark

The radius of a circle is 3 cm.

Find the length of the diameter of the circle.

[1]

Paper 3 November 2023 Foundation tier, Question 15 5 marks

A regular polygon is being constructed inside a circle, centre O. Part of the construction is shown in this diagram.

Figure for question 15
(a)(i)

Give a reason why OA = OB.

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

Write down the mathematical name of triangle OAB.

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

The regular polygon is completed.

Work out the sum of the interior angles of the regular polygon.

[3]
Reveal mark scheme Mark scheme for question 15(b)

Paper 3 June 2022 Foundation tier, Question 4 2 marks

The diagram shows a circle, centre O, and a line that meets the circle twice.

Figure for question 4
(a)

On the diagram, draw a diameter.

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

Write down the mathematical name of the line shown on the diagram.

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

Paper 2 November 2017 Foundation tier, Question 15, also on the Higher paper 2 marks

The diagram shows a circle, centre O.

Figure for question 15

Write down the mathematical name of

(a)

line A,

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

shaded region B.

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

Paper 2 November 2017 Foundation tier, Question 19 6 marks

Also involves Trigonometric ratios

The angles in a triangle are in the ratio 1: 2: 3.

(a)

Show that the triangle is a right-angled triangle.

[2]
Reveal mark scheme Mark scheme for question 19(a)
(b)

The hypotenuse of the triangle is 15 cm long.

Calculate the length of the shortest side in the triangle.

[4]
Reveal mark scheme Mark scheme for question 19(b)

Paper 5 November 2017 Higher tier, Question 1, also on the Foundation paper 2 marks

The diagram shows a circle, centre O.

Figure for question 1

Write down the mathematical name of

(a)

line A,

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

shaded region B.

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

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