plumiAngles and polygons: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on G3 Angles and polygons, 2017–2025, with its mark scheme and examiner’s report.
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![November 2017 Paper 2H, question 12: S T R RSDQGSTDUHVLGHVRIDUHJXODUVLGHGSRO\JRQ RTLVDGLDJRQDORIWKHSRO\JRQ :RUNRXWWKHVL]HRIDQJOHSTR. <RXPXVWVKRZ\RXUZRUNLQJ ](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/1ma12h-nov17-12-qp.webp)
All 21 questions on Angles and polygons, as a list
- June 2025, Paper 1H, Q6 (4 marks): AB, BC, CD and DE are four sides of a regular polygon with n sides. A B C X D Y E BCX is an equilateral triangle. CDYX is a square. Work out the value of n. You
- November 2024, Paper 1H, Q4 (3 marks): ABCD is a parallelogram. A B e 3e D C All angles are measured in degrees. Find an expression, in terms of e, for the size of angle CAD. Give a reason for each s
- November 2024, Paper 1H, Q6 (4 marks): Here is a pentagon. c b d a e Angle a = angle c Angle b = 155° Angle d is three times the size of angle c Angle e is two times the size of angle c Work out the
- November 2024, Paper 2H, Q9 (3 marks): The diagram shows two congruent regular 9-sided polygons. ABCD is a quadrilateral. D C A B Show that ABCD is not a square.
- June 2024, Paper 2H, Q7 (4 marks): ABCD is a quadrilateral. B C 4x + 15 4x + 8 2x + 15 3x – 3 A D All angles are measured in degrees. Show that ABCD is a trapezium.
- November 2023, Paper 1H, Q6 (4 marks): The diagram shows an isosceles triangle ABD and the straight line ABC. D x° A y° w° B C BA = BD x : y = 2 : 1 Work out the value of w. w =
- June 2023, Paper 1H, Q10 (4 marks): Here is a pentagon. A 120° E 135° D B 110° C Angle AED = 4 × angle ABC Work out the size of angle AED. You must show all your working. °
- June 2023, Paper 2H, Q24 (5 marks): The diagram shows 8 identical regular octagons joined to enclose a shaded shape. Each octagon has sides of length a. Find, in terms of a, an expression for the
- June 2023, Paper 3H, Q3 (5 marks): ACF and ADG are straight lines. BCD and EFG are parallel lines. A B C D 110° 125° E F G Show that triangle ACD is isosceles. Give a reason for each stage of you
- November 2022, Paper 3H, Q26 (5 marks): ABCDEFG is a regular heptagon. A G B F C E D The area of triangle ABG is 30 cm2 Calculate the length of GB. Give your answer correct to 3 significant figures. Y
- June 2022, Paper 1H, Q5 (3 marks): Here is a regular hexagon and a regular pentagon. x Work out the size of the angle marked x. You must show all your working. °
- November 2020, Paper 1H, Q6 (5 marks): ADC is a triangle. A E B 148° 63° D C AED and ABC are straight lines. EB is parallel to DC. Angle EBC = 148° Angle ADC = 63° Work out the size of angle EAB. You
- November 2019, Paper 1H, Q5 (4 marks): The diagram shows triangle ABC. A 75° D 51° B C ADB is a straight line. the size of angle DCB : the size of angle ACD = 2 : 1 Work out the size of angle BDC. °
- November 2019, Paper 3H, Q8 (4 marks): The diagram shows a regular pentagon and a parallelogram. 117° x Work out the size of the angle marked x. You must show all your working. °
- June 2019, Paper 3H, Q5 (4 marks): The diagram shows a hexagon. The hexagon has one line of symmetry. A B 117° F C E D FA BC EF CD Angle ABC 117° Angle BCD 2 u angle CDE Work out the size of angl
- November 2018, Paper 2H, Q3 (4 marks): BEG is a triangle. C B 35° A x G F 25° 110° D E ABC and DEF are parallel lines. Work out the size of angle x. Give a reason for each stage of your working. °
- November 2018, Paper 3H, Q6 (4 marks): ABC is a right-angled triangle. B A C 14 cm AC = 14 cm. Angle C = 90q size of angle B : size of angle A = 3 : 2 Work out the length of AB. Give your answer corr
- June 2018, Paper 3H, Q8 (5 marks): ABCDE is a pentagon. A 125q E B 115q D C Angle BCD = 2× angle ABC Work out the size of angle BCD. You must show all your working. q
- November 2017, Paper 1H, Q3 (4 marks): E 35q F A D 75q B C ABCD is a parallelogram. EDC is a straight line. F is the point on AD so that BFE is a straight line. Angle EFD = 35q Angle DCB = 75q Show t
- November 2017, Paper 2H, Q12 (3 marks): S T R RSDQGSTDUHVLGHVRIDUHJXODUVLGHGSRO\JRQ RTLVDGLDJRQDORIWKHSRO\JRQ :RUNRXWWKHVL]HRIDQJOHSTR. <RXPXVWVKRZ\RXUZRUNLQJ
- June 2017, Paper 3H, Q5 (4 marks): In the diagram, AB, BC and CD are three sides of a regular polygon P. D A square polygon P square C B regular 12-sided polygon Show that polygon P is a hexagon.
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