plumiAngles and polygons: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on G3 Angles and polygons, 2017–2025, with its mark scheme and examiner’s report.
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All 19 questions on Angles and polygons, as a list
- June 2025, Paper 4, Q7 (6 marks): T he diagram shows a regular pentagon and part of another regular polygon meeting at point P. One of the angles at point P is 92°. Not to scale P 92° (a) Show t
- November 2024, Paper 5, Q2 (3 marks): (a) Work out the size of an exterior angle of a regular hexagon. (a) (b) Use your answer to part (a) to write down the size of an interior angle of a regular he
- June 2024, Paper 4, Q6 (4 marks): A regular polygon has n sides. The interior angle of the polygon is 15 times its exterior angle. Find the value of n. n =
- November 2023, Paper 6, Q8 (5 marks): The diagram shows four triangles that are joined together. A B C D Not to scale F E • Points A, B, C and D lie on a straight line. • Triangles ABF and CDE are e
- June 2023, Paper 5, Q2 (5 marks): The diagram shows two straight lines crossing a pair of parallel lines. b° Not to scale 125° a° 75° (a) Write down the value of a. Give a reason for your answer
- June 2023, Paper 5, Q10 (6 marks): A student draws two different regular polygons. The exterior angle of one polygon is p°. The exterior angle of the other polygon is q°. The sum of p and q is 11
- June 2023, Paper 6, Q8 (4 marks): Taylor designs a logo using isosceles triangles joined at a central point, P. This is the start of Taylor’s design. Not to scale P The completed design will hav
- November 2022, Paper 5, Q7 (5 marks): The diagram shows a straight line crossing a pair of parallel lines. Not to scale (3x – 23)° (x + 35)° y° Find the value of y. You must show your working. y =
- June 2022, Paper 4, Q4 (6 marks): Three regular polygons meet at a point. Not to scale Two of the polygons are pentagons. Find the number of sides of the third polygon. You must show your workin
- November 2021, Paper 4, Q11 (3 marks): The diagram shows triangles ABC and ADE. A Not to scale C B E D B lies on AD and C lies on AE. BC is parallel to DE. Complete these statements to show that tria
- November 2021, Paper 6, Q10 (5 marks): An equilateral triangle, a regular 10-sided polygon and another regular polygon meet at a point. Not to scale Regular 10-sided polygon Regular A polygon (a) Sho
- November 2020, Paper 6, Q5 (3 marks): (a) Work out the size of the exterior angle of a regular 12-sided polygon. (a) ° (b) Use your answer to part (a) to write down the size of the interior angle of
- November 2019, Paper 5, Q8 (5 marks): The diagram shows a kite, ABCD. AFE and CEF are equilateral triangles. A Not to scale D B x E F C (a) Write down a mathematical name for quadrilateral AFCE. (a)
- November 2019, Paper 6, Q16 (8 marks): (a) In the diagram, • A, B and C are points on the circumference of a circle • O is the centre of the circle • angle OAB = 15° • angle BCO = 10°. B Not to scale
- June 2019, Paper 4, Q9 (5 marks): The diagram shows triangle ABC. CD is parallel to AB. A, C and E lie in a straight line. Angles of size a°, b° and c° are shown. B D b° Not to scale c° a° A C E
- June 2019, Paper 5, Q9 (6 marks): An interior angle of an isosceles triangle is p° and an exterior angle is q°. Not to scale p° q° It is given that q 5 . p = (a) Write the ratio p : q in its sim
- November 2018, Paper 6, Q11 (5 marks): A regular polygon has n sides. The polygon’s interior angle is 5 times the size of its exterior angle. Find n. n =
- November 2017, Paper 4, Q7 (5 marks): Angle BAE is part of a regular 18-sided polygon. Angle CAD is part of a regular 10-sided polygon. The dashed line through A is a line of symmetry of both polygo
- June 2017, Paper 5, Q8 (6 marks): Imran joins two tiles together as shown below. One tile is a regular hexagon and the other tile is a regular pentagon. a Not to scale (a) Show that angle a is 1
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