plumiAngles, lines and triangles: Edexcel International GCSE Maths questions
Every Edexcel International GCSE Maths exam question on 4.1 Angles, lines and triangles, 2019–2025, with its mark scheme and examiner’s report.
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All 60 questions on Angles, lines and triangles, as a list
- June 2025 (R), Paper 1 Foundation, Q7 (5 marks): A D Diagram NOT E accurately drawn x° 58° B C AEC and BED are straight lines. Sergio says that the value of x is 58 (a) Give a reason why Sergio is correct. In
- June 2025, Paper 2 Foundation, Q8 (3 marks): A E Diagram NOT accurately drawn 104 B x C D ABC and EBD are straight lines. Triangle BCD is isosceles with BD = BC Angle ABE = 104° Work out the value of x x =
- November 2024, Paper 1 Foundation, Q7 (4 marks): B C 125° 107° Diagram NOT accurately drawn x° A 138° D E ABCD is a quadrilateral. ADE is a straight line. Work out the value of x Give a reason for each stage o
- November 2024, Paper 2 Foundation, Q11 (2 marks): E D 53° Diagram NOT accurately drawn C x° B 77° A ABC is a triangle. BCD and ACE are straight lines. Work out the value of x x =
- November 2024, Paper 2 Foundation, Q27 (5 marks): C Diagram NOT I accurately drawn D B H E A G F ABCDE is a regular pentagon. DEFGHI is a regular hexagon. AF is a straight line. Work out the size of angle EAF °
- November 2024, Paper 2 Higher, Q11 (5 marks): C Diagram NOT I accurately drawn D B H E A G F ABCDE is a regular pentagon. DEFGHI is a regular hexagon. AF is a straight line. Work out the size of angle EAF °
- June 2024 (R), Paper 1 Foundation, Q6 (4 marks): The diagram shows a regular octagon. (a) Write down the number of lines of symmetry of a regular octagon. Here is a shape. x (b) On the shape, mark with a let
- June 2024 (R), Paper 1 Foundation, Q12 (5 marks): B Diagram NOT C accurately drawn 128° A 78° 86° 125° D E F ABCD is a quadrilateral. CDE is an isosceles triangle with CD = CE DEF is a straight line. Work out t
- June 2024, Paper 1 Foundation, Q6 (5 marks): 235° Diagram NOT x° accurately drawn (a) (i) Work out the value of x x = (ii) Give a reason for your answer. D Diagram NOT E y° accurately drawn 98° 54° A B C A
- June 2024, Paper 1 Foundation, Q20 (4 marks): In the diagram, ABCDE is a regular pentagon. F 96° E A Diagram NOT accurately drawn D B C Angle AEF = 96° Work out the size of the obtuse angle FED Show your wo
- June 2024, Paper 1 Higher, Q5 (4 marks): In the diagram, ABCDE is a regular pentagon. F 96° E A Diagram NOT accurately drawn D B C Angle AEF = 96° Work out the size of the obtuse angle FED Show your wo
- November 2023, Paper 1 Foundation, Q3 (4 marks): (a) x Write down the mathematical name of the angle marked x P O P is a point on a circle with centre O (b) Write down the mathematical name of the line OP Here
- November 2023, Paper 1 Foundation, Q9 (4 marks): The diagram shows two triangles ABE and ECD 296° Diagram NOT C accurately drawn B 42° x° D A E Triangle ABE is isosceles with AE = EB AED and EBC are straight l
- November 2023, Paper 2 Foundation, Q8 (4 marks): J L Diagram NOT accurately drawn 125° y° A D C B H 32° G x° F E K M ABCD and EFGH are straight lines. KFBJ and MGCL are parallel straight lines. angle ABJ = 125
- June 2023 (R), Paper 1 Foundation, Q10 (5 marks): The diagram shows quadrilateral ABCD E Diagram NOT accurately drawn 108° F C B 135° x° 54° G D A ECD, BCF and GAD are straight lines. Work out the value of x Gi
- June 2023 (R), Paper 2 Foundation, Q9 (3 marks): The diagram shows quadrilateral ABCD D Diagram NOT accurately drawn y° x° C 32° A B BC = CD = DB angle DBA = 90° and angle DAB = 32° (a) Work out the value of x
- June 2023, Paper 2 Foundation, Q19 (4 marks): ABCD is a trapezium. B C Diagram NOT accurately drawn (3x + 46)° (3x + 10)° (4x – 27)° A D BC is parallel to AD Find the size of the largest angle inside the tr
- June 2023, Paper 2 Foundation, Q27 (3 marks): Here is a 9-sided regular polygon ABCDEFGHJ, with centre O A Diagram NOT J B accurately drawn H C O D G x° F E K ODK and FEK are straight lines. Work out the va
- June 2023, Paper 2 Higher, Q3 (4 marks): ABCD is a trapezium. B C Diagram NOT accurately drawn (3x + 46)° (3x + 10)° (4x – 27)° A D BC is parallel to AD Find the size of the largest angle inside the tr
- June 2023, Paper 2 Higher, Q11 (3 marks): Here is a 9-sided regular polygon ABCDEFGHJ, with centre O A Diagram NOT J B accurately drawn H C O D G x° F E K ODK and FEK are straight lines. Work out the va
- January 2023 (R), Paper 1 Foundation, Q9 (4 marks): E D Diagram NOT 112° accurately drawn x° 52° A B C BCD is an isosceles triangle with BD = CD ABC is a straight line. ABDE is a quadrilateral. Work out the value
- January 2023 (R), Paper 2 Foundation, Q25 (4 marks): A Diagram NOT R accurately drawn S 128° B F T C 32° D E V U AB, BC, CD, DE and EF are five sides of a regular polygon. RST, SCU and BCV are straight lines. RST
- January 2023 (R), Paper 2 Higher, Q11 (4 marks): A Diagram NOT R accurately drawn S 128° B F T C 32° D E V U AB, BC, CD, DE and EF are five sides of a regular polygon. RST, SCU and BCV are straight lines. RST
- January 2023, Paper 2 Foundation, Q15 (4 marks): The diagram shows two parallel lines AB and DEF C w° Diagram NOT A accurately drawn B 124° E D F 73° G BEG is a straight line. angle DEG = 73° angle EBC = 124°
- January 2023, Paper 2 Higher, Q14 (5 marks): A, B, C and D are points on a circle, centre O EBF is the tangent to the circle at B A Diagram NOT 40° accurately drawn F O 66° B D C E (a) (i) Work out the siz
- June 2022 (R), Paper 1 Foundation, Q2 (3 marks): Here is a 5‑sided polygon. (a) Write down the mathematical name for a 5‑sided polygon. (b) On the diagram, mark with a letter A an acute angle. (c) On the diagr
- June 2022 (R), Paper 1 Foundation, Q10 (5 marks): A H y° B F E Diagram NOT 35° accurately drawn C x° G D In the diagram, BCE is a right‑angled triangle. ABCD, BEF and GCEH are straight lines. Angle BCE = 35° (a
- June 2022, Paper 1 Foundation, Q6 (5 marks): Diagram NOT accurately drawn x° 48° A C B ABC is a straight line. (a) (i) Work out the value of x x = (ii) Give a reason for your answer to (i) Question 6 conti
- January 2022 (R), Paper 1 Foundation, Q8 (5 marks): ABC is a straight line and BCD is a triangle. Diagram NOT D accurately drawn 93° x° 42° A C B (a) Work out the value of x x = PO, RO, SO and TO are four straigh
- January 2022, Paper 2 Foundation, Q9 (4 marks): The diagram shows triangle ABD E F Diagram NOT x° accurately drawn D 58° 132° y° A B C ABC, BDE and ADF are straight lines. angle CBD = 132° angle ADB = 58° (a)
- November 2021, Paper 2 Foundation, Q8 (3 marks): Here is a rhombus. 122° Diagram NOT accurately drawn x° Work out the value of x. Give a reason for your answer. x =
- November 2021, Paper 2 Foundation, Q21 (5 marks): The diagram shows a regular octagon ABCDHIJK and a pentagon DEFGH. E C Diagram NOT B 102° D accurately drawn 112° F 96° A H G x K I J Angle GHD = angle FGH. Wor
- November 2021, Paper 2 Higher, Q5 (5 marks): The diagram shows a regular octagon ABCDHIJK and a pentagon DEFGH. E C Diagram NOT B 102° D accurately drawn 112° F 96° A H G x K I J Angle GHD = angle FGH. Wor
- June 2021, Paper 1 Foundation, Q11 (3 marks): The diagram shows a square ABCD and a regular pentagon CDEFG. E Diagram NOT D accurately drawn A F C B x G Work out the size of the angle marked x. °
- June 2021, Paper 2 Foundation, Q2 (5 marks): (a) Write down the order of rotational symmetry of a square. x (b) (i) Measure the size of the angle marked x. ° (ii) Write down the mathematical name of this t
- June 2021, Paper 2 Foundation, Q19 (5 marks): E Diagram NOT accurately drawn 44° B C A D G F I H J ABCD and FGHI are parallel straight lines. EBGJ and ECH are straight lines. BE = CE Angle BEC = 44° Work ou
- June 2021, Paper 2 Higher, Q5 (5 marks): E Diagram NOT accurately drawn 44° B C A D G F I H J ABCD and FGHI are parallel straight lines. EBGJ and ECH are straight lines. BE = CE Angle BEC = 44° Work ou
- January 2021 (R), Paper 1 Foundation, Q10 (3 marks): The diagram shows the isosceles triangle ABC in which AB = AC A Diagram NOT accurately drawn 44° x° B D C BCD is a straight line. Work out the value of x. x =
- January 2021 (R), Paper 1 Foundation, Q23 (5 marks): The diagram shows a regular pentagon, ABCDE, a regular hexagon, CFGHID, and a quadrilateral, EDIJ. F B Diagram NOT accurately drawn C G A D H E I x J AEJ and HI
- January 2021 (R), Paper 1 Higher, Q8 (5 marks): The diagram shows a regular pentagon, ABCDE, a regular hexagon, CFGHID, and a quadrilateral, EDIJ. F B Diagram NOT accurately drawn C G A D H E I x J AEJ and HI
- January 2021, Paper 2 Foundation, Q11 (3 marks): A J 76° Diagram NOT accurately drawn E G 143° D x C B H F ABD is a triangle. AEDF, BCDG and HCEJ are straight lines. BA is parallel to HCEJ. Work out the size o
- November 2020 (R), Paper 2 Foundation, Q7 (4 marks): The diagram shows a trapezium ABCD in which AB and DC are parallel. A B Diagram NOT x° accurately drawn 104° 42° D C AB = DB Work out the value of x. Give a rea
- November 2020, Paper 2 Foundation, Q18 (5 marks): E Diagram NOT accurately drawn C F D 58° B A The diagram shows a parallelogram ABCD and an isosceles triangle DEF in which DE = DF CDF and ADE are straight line
- November 2020, Paper 2 Higher, Q3 (5 marks): E Diagram NOT accurately drawn C F D 58° B A The diagram shows a parallelogram ABCD and an isosceles triangle DEF in which DE = DF CDF and ADE are straight line
- January 2020 (R), Paper 2 Foundation, Q3 (2 marks): The diagram shows a line AB. A B (a) At the point A draw an acute angle. Label your acute angle a. The diagram shows a circle with centre O. O . (b) Draw a diam
- January 2020 (R), Paper 2 Foundation, Q15 (4 marks): B Diagram NOT 298° accurately drawn x A D C 97° E ABC is a triangle. D and E are points such that ACD and BCE are straight lines. reflex angle ABC = 298° angle
- January 2020 (R), Paper 2 Foundation, Q26 (3 marks): The diagram shows two congruent isosceles triangles and parts of two congruent regular polygons, X and Y. Diagram NOT accurately drawn Polygon X A D 66° 66° B E
- January 2020 (R), Paper 2 Higher, Q12 (3 marks): The diagram shows two congruent isosceles triangles and parts of two congruent regular polygons, X and Y. Diagram NOT accurately drawn Polygon X A D 66° 66° B E
- January 2020, Paper 1 Foundation, Q7 (5 marks): A Diagram NOT accurately drawn 17° E 78° 125° y° x° D C B ABDE is a quadrilateral. ABC is a triangle. DCB is a straight line. (a) (i) Work out the value of x. x
- January 2020, Paper 2 Foundation, Q20 (4 marks): The diagram shows a triangle. 30° Diagram NOT accurately drawn (4x + 10)° (x + 20)° Work out the value of x. x =
- January 2020, Paper 2 Higher, Q4 (4 marks): The diagram shows a triangle. 30° Diagram NOT accurately drawn (4x + 10)° (x + 20)° Work out the value of x. x =
- June 2019 (R), Paper 2 Foundation, Q3 (2 marks): Here is a pentagon. obtuse reflex right acute (a) Write down the word from the box that describes the angle marked x. angle (b) Write down the mathematical name
- June 2019, Paper 1 Foundation, Q8 (5 marks): The diagram shows two triangles, CDB and BDA. A Diagram NOT accurately drawn 55° x D 116° B C DC = DB Angle ABC = 90° Angle CDB = 116° Angle DAB = 55° Work out
- January 2019 (R), Paper 1 Foundation, Q21 (4 marks): The diagram shows the triangle PQR. R Diagram NOT accurately drawn y (3x + 10) (x + 52) P Q In the diagram, all the angles are in degrees. RP = RQ Find the valu
- January 2019 (R), Paper 1 Higher, Q6 (4 marks): The diagram shows the triangle PQR. R Diagram NOT accurately drawn y (3x + 10) (x + 52) P Q In the diagram, all the angles are in degrees. RP = RQ Find the valu
- January 2019 (R), Paper 2 Foundation, Q14 (4 marks): A A G Diagram NOT accurately drawn 75° B 123° x° D E C F ABC, DECF and EBG are straight lines. Work out the value of x. Give a reason for each stage of your wor
- January 2019 (R), Paper 2 Foundation, Q23 (4 marks): I H Diagram NOT accurately drawn D J G 84° E C 112° 112° F K x° A B Pentagon ABCDE is drawn inside the regular octagon ABFGHIJK. The pentagon has exactly one li
- January 2019 (R), Paper 2 Higher, Q6 (4 marks): I H Diagram NOT accurately drawn D J G 84° E C 112° 112° F K x° A B Pentagon ABCDE is drawn inside the regular octagon ABFGHIJK. The pentagon has exactly one li
- January 2019, Paper 1 Higher, Q5 (5 marks): D Diagram NOT C accurately drawn (30x – 5)° (4x + 15)° B E (20x + 45)° F A BCD and AFE are straight lines. Show that BCD is parallel to AFE. Give reasons for yo
- January 2019, Paper 2 Foundation, Q13 (5 marks): A B Diagram NOT 48° accurately drawn y 68° 243° E C D ABD is an isosceles triangle with AB = DB. DCE is a straight line. Angle ABD = 48° Angle BCE = 68° Reflex
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