plumiArcs and sectors: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on G18 Arcs and sectors, 2017–2025, with its mark scheme and examiner’s report.
Find questions921
Exam
All years
Calculator
All 11 questions on Arcs and sectors, as a list
- June 2025, Paper 5, Q19 (5 marks): The diagram shows a shape formed by a semicircle joined to a sector of a circle, BAC, along a common length AB. C Not to scale 40° A B The area of the sector BA
- November 2024, Paper 5, Q15 (8 marks): (a) The diagram shows a rectangle, OPQR, and a circle, centre O, which passes through Q. OR = 6 cm and RQ = 8 cm. Not to scale 8 cm R Q 6 cm O P Find the circum
- June 2024, Paper 5, Q20 (7 marks): The shape below is part of a circle, centre O and radius 12 cm. Angle OAB = 30°. B Not to scale O 12 cm 30° A Work out the perimeter of the shape. Give your ans
- June 2024, Paper 6, Q9 (7 marks): The diagram shows a shaded sector inside a parallelogram. The sector has an angle of 30°. The parallelogram, ABCD, has length BC = 20 cm and AB = 12 cm . The pe
- November 2023, Paper 5, Q23 (9 marks): In the diagram, • ABC is a right-angled triangle • ACD is the sector of a circle with centre A. D C Not to scale 45° 30° A B 4 m 8 r m2. (a) Show that the area
- November 2023, Paper 6, Q20 (7 marks): This shape is formed from a rectangle and two sectors of circles. C B 35° D Not to scale 5t A F E 2t Points A, B and C lie on a straight line. Angle CB D 3 ° 5
- June 2022, Paper 5, Q18 (5 marks): The diagram shows a shaded shape made by removing sector OAB from sector OCD. Both sectors have an angle of 60°. The radius, OA, of the smaller sector is r cm.
- November 2021, Paper 5, Q21 (6 marks): AOB is a sector of a circle, centre O and radius 10 cm. A Not to scale O B 10 cm 2. The area of the sector is 40 cm r Work out the perimeter of the sector. Give
- June 2019, Paper 5, Q15 (6 marks): OAB is a sector of a circle, centre O. OA = 6 cm and AX is perpendicular to OB. A Not to scale 6 cm O X B The area of sector OAB is 6r cm2. Show that AX = 3 3 c
- November 2018, Paper 5, Q12 (5 marks): AOB is a sector of a circle, centre O and radius 6 cm. The length of arc AB is 5π cm. A Not to scale O B 6 cm Find the area of the sector. Give your answer in t
- November 2017, Paper 6, Q8 (5 marks): The design below is made from two sectors of circles, centre O. 6 cm 45° O 3.5 cm Calculate the perimeter of the shaded part. Give your answer correct to 3 sign
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every OCR GCSE Maths paper.
Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.