Mensuration of 2D shapes: Edexcel International GCSE Maths questions

Every Edexcel International GCSE Maths exam question on 4.9 Mensuration of 2D shapes, 2019–2025, with its mark scheme and examiner’s report.

All 171 questions on Mensuration of 2D shapes, as a list

June 2025 (R), Paper 1 Foundation, Q13 (2 marks): A circle has radius 6.4 cm Work out the area of the circle. Give your answer correct to 3 significant figures. cm2
June 2025 (R), Paper 1 Foundation, Q14 (4 marks): The diagram shows a plan of a garden made from three identical rectangles. 3.5 m Diagram NOT accurately drawn 6 m The length of each rectangle is 6 metres. The
June 2025 (R), Paper 1 Higher, Q25 (6 marks): B Diagram NOT accurately drawn A C D BAC is a sector of a circle, centre A BCD is a sector of a circle, centre C Angle BAC = 40° Angle BCD = 130° Area of shaded
June 2025 (R), Paper 2 Foundation, Q16 (3 marks): The diagram shows a quadrilateral ACDF F E D Diagram NOT accurately drawn A B C ABEF is a trapezium. BCDE is a parallelogram. FE = 26 cm AB = 18 cm BC = 12 cm T
June 2025 (R), Paper 2 Foundation, Q27 (5 marks): The diagram shows two triangles, ADE and CDB C Diagram NOT A accurately drawn B D E ABD is a straight line. AE = 28 cm ED = 45 cm AB = 21 cm CD = 35 cm angle AE
June 2025 (R), Paper 2 Higher, Q11 (5 marks): The diagram shows two triangles, ADE and CDB C Diagram NOT A accurately drawn B D E ABD is a straight line. AE = 28 cm ED = 45 cm AB = 21 cm CD = 35 cm angle AE
June 2025, Paper 1 Foundation, Q17 (4 marks): The diagram shows the plan of a stage. The stage is made up of a rectangle and an isosceles triangle. Diagram NOT 3 m 6 m accurately drawn 8 m Yuko is going to
June 2025, Paper 1 Foundation, Q26 (5 marks): A B Diagram NOT accurately drawn 12 cm 60 D C 47 cm ABCD is a trapezium with one line of symmetry. angle ADC = 60° AD = 12 cm DC = 47 cm Work out the area of th
June 2025, Paper 1 Higher, Q9 (5 marks): A B Diagram NOT accurately drawn 12 cm 60 D C 47 cm ABCD is a trapezium with one line of symmetry. angle ADC = 60° AD = 12 cm DC = 47 cm Work out the area of th
June 2025, Paper 1 Higher, Q11 (2 marks): OABC is a sector of a circle, centre O B Diagram NOT accurately drawn C A 140 16 cm 16 cm O angle AOC = 140° OA = OC = 16 cm Calculate the area of the sector. G
June 2025, Paper 2 Foundation, Q15 (2 marks): A circle has radius 16 cm Calculate the circumference of the circle. Give your answer correct to 3 significant figures. cm
June 2025, Paper 2 Higher, Q22 (4 marks): The diagram shows a square inside rectangle ABCD Diagram NOT accurately drawn A B D C The total area of the region shown shaded in the diagram is Xcm² AB =11 5.
November 2024, Paper 1 Foundation, Q13 (4 marks): The diagram shows a rectangular wall and a square tile. Diagram NOT accurately drawn Tile Wall Hamish wants to cover all the wall with tiles. The tiles are sold
November 2024, Paper 1 Higher, Q16 (4 marks): OAPB is a sector of a circle, centre O A Diagram NOT accurately drawn P 50° O B Angle AOB 50 Area of triangle OAB = 120 cm 2 Work out the area of the sector OAP
November 2024, Paper 2 Foundation, Q14 (3 marks): The diagram shows a shape ABCDE made from a square ABDE and an isosceles triangle BCD A B Diagram NOT accurately drawn C E D BC = DC The area of square ABDE is
November 2024, Paper 2 Foundation, Q16 (2 marks): A circle has radius 9 cm Work out the area of the circle. Give your answer correct to 3 significant figures. cm²
November 2024, Paper 2 Higher, Q25 (5 marks): The diagram shows an equilateral triangle ABC and a circle with centre O C Diagram NOT accurately drawn O x cm A B AB, BC and CA are tangents to the circle. The
June 2024 (R), Paper 1 Foundation, Q23 (6 marks): The diagram shows a trapezium, ABCD A B Diagram NOT accurately drawn 15 cm D 14 cm C DAB and ADC are right angles. AD = 15 cm DC = 14 cm The area of the trapezi
June 2024 (R), Paper 1 Higher, Q8 (6 marks): The diagram shows a trapezium, ABCD A B Diagram NOT accurately drawn 15 cm D 14 cm C DAB and ADC are right angles. AD = 15 cm DC = 14 cm The area of the trapezi
June 2024 (R), Paper 1 Higher, Q15 (3 marks): The diagram shows isosceles triangle EFG F Diagram NOT accurately drawn 130° E G EF = GF Angle EFG = 130° The area of triangle EFG is 74 cm² Work out the length
June 2024 (R), Paper 2 Foundation, Q21 (4 marks): The diagram shows the design for a badge, which will be made using wire. The design is a circle inside a square ABCD A E B Diagram NOT accurately drawn H F D G
June 2024 (R), Paper 2 Foundation, Q26 (5 marks): The diagram shows a hexagon ABCDEF 11 cm A B Diagram NOT accurately drawn 5 cm 30° F C 4.7 cm E D 23 cm Angle BCF = 30° AB, FC and ED are parallel. Calculate th
June 2024 (R), Paper 2 Higher, Q5 (4 marks): The diagram shows the design for a badge, which will be made using wire. The design is a circle inside a square ABCD A E B Diagram NOT accurately drawn H F D G
June 2024 (R), Paper 2 Higher, Q10 (5 marks): The diagram shows a hexagon ABCDEF 11 cm A B Diagram NOT accurately drawn 5 cm 30° F C 4.7 cm E D 23 cm Angle BCF = 30° AB, FC and ED are parallel. Calculate th
June 2024 (R), Paper 2 Higher, Q13 (3 marks): OAB is a sector of a circle with centre O and radius r cm. A Diagram NOT accurately drawn 60° r cm O B Angle AOB = 60° The perimeter of the sector is P cm. Find
June 2024, Paper 1 Foundation, Q15 (4 marks): The diagram shows a shape ABCDE made from a right-angled triangle ABE and a square BCDE 15 cm B C A Diagram NOT accurately drawn 17 cm E D ABC is a straight lin
June 2024, Paper 1 Higher, Q20 (4 marks): The diagram shows a sector OABC of a circle centre O A Diagram NOT B O 60° accurately drawn C Angle AOC = 60° The area of the shaded segment ABC is 38 cm 2 Work
June 2024, Paper 2 Foundation, Q2 (6 marks): J (a) On the grid, draw a shape that is congruent to shape J (b) On the grid, draw a shape that is an enlargement of shape J with scale factor 2 The diagram sho
June 2024, Paper 2 Foundation, Q9 (2 marks): A circle has a radius of 9 cm. Calculate the area of the circle. Give your answer correct to 3 significant figures. cm 2
June 2024, Paper 2 Foundation, Q10 (2 marks): The diagram shows shape A drawn on a centimetre grid. A On the centimetre grid below, draw a rectangle that has the same area as shape A
June 2024, Paper 2 Foundation, Q23 (4 marks): The diagram shows a 6-sided shape ABCDEF 15 cm C D B E Diagram NOT h cm accurately drawn 13 cm A F 21 cm AF = 21 cm CD = 15 cm AB = FE = 13 cm The perpendicular
June 2024, Paper 2 Higher, Q7 (4 marks): The diagram shows a 6-sided shape ABCDEF 15 cm C D B E Diagram NOT h cm accurately drawn 13 cm A F 21 cm AF = 21 cm CD = 15 cm AB = FE = 13 cm The perpendicular
June 2024, Paper 2 Higher, Q21 (5 marks): The diagram shows a square ABCD and a circle. A B Diagram NOT accurately drawn D C The sides of the square are tangents to the circle. 2 The total area of the s
November 2023, Paper 1 Foundation, Q13 (4 marks): A wheel on a tractor has a diameter of 160 cm. The tractor travels 1750 metres. Work out the number of complete turns made by the wheel. Show your working clear
November 2023, Paper 1 Foundation, Q19 (3 marks): The diagram shows a shaded shape made from three identical semicircles, X, Y and Z A Diagram NOT accurately drawn B X Y C Z D E ABCDE is a straight line. AC is
November 2023, Paper 1 Higher, Q5 (3 marks): The diagram shows a shaded shape made from three identical semicircles, X, Y and Z A Diagram NOT accurately drawn B X Y C Z D E ABCDE is a straight line. AC is
November 2023, Paper 2 Foundation, Q6 (3 marks): Here is a centimetre grid. (a) On the grid, draw a right-angled triangle. Here is a centimetre grid. (b) On the grid, draw a rectangle with an area of 20 cm2
November 2023, Paper 2 Foundation, Q26 (5 marks): The diagram shows a hexagon ABCDEF (x + 2) cm Diagram NOT B C accurately drawn 8 cm D 25 cm E 7 cm A F (x + 6) cm AB = 25 cm BC = (x + 2) cm CD = 8 cm EF = 7 cm
November 2023, Paper 2 Higher, Q10 (5 marks): The diagram shows a hexagon ABCDEF (x + 2) cm Diagram NOT B C accurately drawn 8 cm D 25 cm E 7 cm A F (x + 6) cm AB = 25 cm BC = (x + 2) cm CD = 8 cm EF = 7 cm
November 2023, Paper 2 Higher, Q20 (4 marks): The diagram shows equilateral triangle ABC with sides of length 10 cm. A circle is drawn inside the triangle. A Diagram NOT 10 cm accurately drawn F D C B E D,
June 2023 (R), Paper 1 Foundation, Q13 (5 marks): The diagram shows the plan of a garden. Diagram NOT accurately drawn 7.5 m 8 m 50 cm 5 m 50 cm One tile 10 m Martyn covers the garden with square tiles of side
June 2023 (R), Paper 1 Foundation, Q20 (5 marks): The diagram shows a shape made up of three semicircles, enclosing a right‑angled triangle. Diagram NOT A accurately drawn 6 cm 6 cm C B AB, BC and CA are each t
June 2023 (R), Paper 1 Higher, Q4 (5 marks): The diagram shows a shape made up of three semicircles, enclosing a right‑angled triangle. Diagram NOT A accurately drawn 6 cm 6 cm C B AB, BC and CA are each t
June 2023 (R), Paper 1 Higher, Q25 (6 marks): Here is a triangle ABC B Diagram NOT C accurately drawn (2x – 1) cm (2x + 1) cm 30° A The area of the triangle is (x2 + x – 3.75) cm2 Find the size of the large
June 2023 (R), Paper 2 Foundation, Q20 (4 marks): A field is in the shape of a trapezium. 170 m Diagram NOT accurately drawn 240 m 330 m The field is sold for a price of $49 650 Given that 1 hectare = 10 000 m2
June 2023 (R), Paper 2 Higher, Q5 (4 marks): A field is in the shape of a trapezium. 170 m Diagram NOT accurately drawn 240 m 330 m The field is sold for a price of $49 650 Given that 1 hectare = 10 000 m2
June 2023, Paper 1 Foundation, Q7 (3 marks): The diagram shows a rectangle measuring 10 cm by 3 cm. 10 cm Diagram NOT accurately drawn 3 cm A shape is made by placing 3 of these rectangles together as show
June 2023, Paper 1 Foundation, Q13 (5 marks): The diagram shows a rectangle and an isosceles triangle. Diagram NOT 8 cm accurately drawn 5 cm 12 cm The perimeter of the rectangle is equal to the perimeter o
June 2023, Paper 1 Foundation, Q20 (4 marks): The diagram shows a shaded shape AEBCD made by removing triangle AEB from rectangle ABCD A B Diagram NOT accurately drawn 7.2 cm 5.4 cm 6 cm E D C AE = 7.2 cm B
June 2023, Paper 1 Higher, Q5 (4 marks): The diagram shows a shaded shape AEBCD made by removing triangle AEB from rectangle ABCD A B Diagram NOT accurately drawn 7.2 cm 5.4 cm 6 cm E D C AE = 7.2 cm B
June 2023, Paper 1 Higher, Q22 (6 marks): The diagram shows two circles with centre O and a regular pentagon ABCDE B Diagram NOT accurately drawn A O C E D A, B, C, D and E are points on the larger circ
June 2023, Paper 2 Foundation, Q12 (2 marks): A circle has radius 8.5 cm Work out the circumference of the circle. Give your answer correct to 3 significant figures. cm
January 2023 (R), Paper 1 Foundation, Q24 (4 marks): The diagram shows an isosceles triangle ABC C Diagram NOT accurately drawn y cm y cm A 7 cm B AB = 7 cm AC = BC = y cm The area of the triangle is 42 cm2 Work o
January 2023 (R), Paper 1 Foundation, Q25 (4 marks): R and T are points on a circle, centre O T Diagram NOT M accurately drawn R 52° O RT = 12 cm M is the midpoint of RT Angle ROM = 52° Work out the area of the ci
January 2023 (R), Paper 1 Higher, Q9 (4 marks): The diagram shows an isosceles triangle ABC C Diagram NOT accurately drawn y cm y cm A 7 cm B AB = 7 cm AC = BC = y cm The area of the triangle is 42 cm2 Work o
January 2023 (R), Paper 1 Higher, Q10 (4 marks): R and T are points on a circle, centre O T Diagram NOT M accurately drawn R 52° O RT = 12 cm M is the midpoint of RT Angle ROM = 52° Work out the area of the ci
January 2023 (R), Paper 1 Higher, Q17 (5 marks): C Diagram NOT accurately drawn 8.3 cm A B 4.6 cm AB = 4.6 cm BC = 8.3 cm angle ABC is acute The area of triangle ABC is 12 cm² Work out the perimeter of triangl
January 2023 (R), Paper 2 Foundation, Q13 (5 marks): The diagram shows the plan of a floor. 8 m Diagram NOT accurately drawn 12 m 3 m 15 m Indira is going to paint the floor. She needs to buy enough tins of paint
January 2023 (R), Paper 2 Higher, Q14 (3 marks): A, B and C are points on a circle, centre O B A Diagram NOT accurately drawn 132° 8.5 cm C O The radius of the circle is 8.5 cm Angle ABC = 132° Work out the pe
January 2023, Paper 1 Foundation, Q15 (5 marks): Here is a floor plan of a stage. The plan is formed from a triangle and a rectangle. Diagram NOT 2.5 m accurately drawn 3 m 4.8 m The stage manager is going to
January 2023, Paper 1 Higher, Q21 (5 marks): The diagram shows the cross section of a circular water pipe. Diagram NOT O accurately drawn 4.8 cm 72° A C B OABC is a sector of the circle, centre O The shade
January 2023, Paper 2 Foundation, Q19 (4 marks): The diagram shows rectangle ABCD 24 cm Diagram NOT A B accurately drawn (5x – 1) cm (3x + 7.4) cm D C Work out the perimeter of the rectangle. Show your working
January 2023, Paper 2 Foundation, Q25 (5 marks): The diagram shows an isosceles triangle, with base length 24 cm. Diagram NOT accurately drawn 24 cm The perimeter of the triangle is 54 cm. Work out the area of
January 2023, Paper 2 Higher, Q4 (4 marks): The diagram shows rectangle ABCD 24 cm Diagram NOT A B accurately drawn (5x – 1) cm (3x + 7.4) cm D C Work out the perimeter of the rectangle. Show your working
January 2023, Paper 2 Higher, Q10 (5 marks): The diagram shows an isosceles triangle, with base length 24 cm. Diagram NOT accurately drawn 24 cm The perimeter of the triangle is 54 cm. Work out the area of
June 2022 (R), Paper 1 Foundation, Q7 (6 marks): The three points A, B and C are marked on a centimetre grid. y 5 4 A B 3 2 1 O x –4 –3 –2 –1 1 2 3 4 5 6 7 C –1 –2 –3 (a) Write down the coordinates of A ( , )
June 2022 (R), Paper 1 Foundation, Q27 (6 marks): The diagram shows a quadrilateral ABCD D Diagram NOT accurately drawn A 7.5 cm 6 cm B C In the diagram, ABC and DAC are right‑angled triangles. BC = 6 cm AC = 7
June 2022 (R), Paper 1 Higher, Q11 (6 marks): The diagram shows a quadrilateral ABCD D Diagram NOT accurately drawn A 7.5 cm 6 cm B C In the diagram, ABC and DAC are right‑angled triangles. BC = 6 cm AC = 7
June 2022 (R), Paper 1 Higher, Q17 (5 marks): Here is a parallelogram PQRS, in which angle SPQ is acute. S R Diagram NOT 3.8 cm accurately drawn P 6.1 cm Q PQ = 6.1 cm PS = 3.8 cm 2 The area of the parallel
June 2022 (R), Paper 2 Foundation, Q13 (2 marks): The diagram shows a trapezium. 6 m Diagram NOT accurately drawn 3 m 13 m Work out the area of the trapezium. m 2
June 2022 (R), Paper 2 Foundation, Q22 (4 marks): The diagram shows a shape made from a square ABCD and 4 identical semicircles. Diagram NOT A B accurately drawn D C As shown in the diagram, the semicircles hav
June 2022 (R), Paper 2 Higher, Q5 (4 marks): The diagram shows a shape made from a square ABCD and 4 identical semicircles. Diagram NOT A B accurately drawn D C As shown in the diagram, the semicircles hav
June 2022 (R), Paper 2 Higher, Q13 (3 marks): The diagram shows a sector AOB of a circle with centre O A Diagram NOT accurately drawn 67° B O 5.2 cm Angle AOB = 67° OA = OB = 5.2 cm Calculate the perimeter
June 2022 (R), Paper 2 Higher, Q15 (3 marks): The diagram shows a kite ABCD D Diagram NOT accurately drawn C A 118° 6 cm 11 cm B AB = 6 cm BC = 11 cm Angle ABC = 118° Calculate the area of the kite. Give yo
June 2022, Paper 1 Foundation, Q15 (4 marks): The diagram shows a shape ABCDEFG made from a square ABDF and three identical isosceles triangles BCD, DEF and FGA. A B Diagram NOT accurately drawn G C F D E T
June 2022, Paper 1 Foundation, Q22 (4 marks): A cylinder is placed on the ground. Diagram NOT 18 cm accurately drawn The height of the cylinder is 18 cm. The force exerted by the cylinder on the ground is 7
June 2022, Paper 1 Higher, Q7 (4 marks): A cylinder is placed on the ground. Diagram NOT 18 cm accurately drawn The height of the cylinder is 18 cm. The force exerted by the cylinder on the ground is 7
June 2022, Paper 1 Higher, Q19 (5 marks): A (r + 7) m Diagram NOT 45° accurately drawn O B OAB is a sector S of a circle with centre O and radius (r + 7) metres. Angle AOB = 45° A circle C has radius (r
June 2022, Paper 2 Foundation, Q7 (2 marks): A circle has radius 6.5 cm. Calculate the circumference of the circle. Give your answer correct to 3 significant figures. cm
June 2022, Paper 2 Foundation, Q10 (3 marks): The diagram shows a kite drawn on a centimetre grid. On the centimetre grid below, draw a rectangle that has the same area as the kite.
June 2022, Paper 2 Foundation, Q21 (4 marks): The diagram shows an 8-sided shape ABCDEFGH. C D Diagram NOT accurately drawn 5 cm B E 5 cm A F 20 cm 12 cm H G 28 cm HG = 28 cm FG = 12 cm AB = EF = 5 cm The h
June 2022, Paper 2 Higher, Q5 (4 marks): The diagram shows an 8-sided shape ABCDEFGH. C D Diagram NOT accurately drawn 5 cm B E 5 cm A F 20 cm 12 cm H G 28 cm HG = 28 cm FG = 12 cm AB = EF = 5 cm The h
June 2022, Paper 2 Higher, Q20 (4 marks): The diagram shows four identical circles drawn inside a square. Diagram NOT accurately drawn Each circle touches two other circles and two sides of the square.
January 2022 (R), Paper 1 Foundation, Q17 (4 marks): The shaded shape is made using three identical right-angled triangles and a square. Diagram NOT accurately drawn 16 cm 12.8 cm 16 cm 16 cm Work out the perimete
January 2022 (R), Paper 1 Higher, Q3 (4 marks): The shaded shape is made using three identical right-angled triangles and a square. Diagram NOT accurately drawn 16 cm 12.8 cm 16 cm 16 cm Work out the perimete
January 2022 (R), Paper 1 Higher, Q11 (2 marks): The diagram shows sector OPQ of a circle, centre O Diagram NOT accurately drawn P 110° 7.1 cm Q O 7.1 cm OP = OQ = 7.1 cm Angle POQ = 110° Calculate the area of
January 2022 (R), Paper 2 Foundation, Q6 (3 marks): Here is a square. Diagram NOT accurately drawn The perimeter of the square is 24 cm. The shaded rectangle below is made from 4 of these squares. Diagram NOT acc
January 2022 (R), Paper 2 Foundation, Q26 (5 marks): In the diagram, ABC is a right-angled triangle and DEF is a semicircular arc. A Diagram NOT E accurately drawn F 3 cm D 30° B C 24 cm In triangle ABC BC = 24 cm
January 2022 (R), Paper 2 Higher, Q9 (5 marks): In the diagram, ABC is a right-angled triangle and DEF is a semicircular arc. A Diagram NOT E accurately drawn F 3 cm D 30° B C 24 cm In triangle ABC BC = 24 cm
January 2022 (R), Paper 2 Higher, Q16 (5 marks): The diagram shows quadrilateral ABCD D 28 cm Diagram NOT 45 cm A accurately drawn 19 cm B C 36 cm The angle BCD is acute. Given that the area of triangle BCD =
January 2022, Paper 1 Foundation, Q10 (2 marks): A circle has a diameter of 14 cm. Calculate the area of the circle. Give your answer correct to 3 significant figures. cm2
January 2022, Paper 1 Foundation, Q13 (4 marks): The diagram shows a classroom wall in the shape of a trapezium. Diagram NOT accurately drawn 3.5 m 2.5 m 6.5 m Dion wants to paint the classroom wall completely
January 2022, Paper 1 Foundation, Q24 (4 marks): The diagram shows isosceles triangle ABC A Diagram NOT 17.5 cm 17.5 cm accurately drawn B C 28 cm AB = AC = 17.5 cm BC = 28 cm Calculate the area of triangle AB
January 2022, Paper 1 Higher, Q9 (4 marks): The diagram shows isosceles triangle ABC A Diagram NOT 17.5 cm 17.5 cm accurately drawn B C 28 cm AB = AC = 17.5 cm BC = 28 cm Calculate the area of triangle AB
January 2022, Paper 1 Higher, Q16 (4 marks): The diagram shows a circle with centre O A B C Diagram NOT 55° accurately drawn O A, B and C are points on the circle so that the length of the arc ABC is 5 cm.
January 2022, Paper 2 Higher, Q23 (6 marks): The diagram shows triangle PQR R Diagram NOT accurately drawn 18° 4.2 cm P 1.6 cm Q PQ = 1.6 cm PR = 4.2 cm Angle PRQ = 18° Given that angle PQR is obtuse, work
November 2021, Paper 1 Foundation, Q9 (3 marks): The diagram shows two congruent triangles, ABC and DEF, drawn on a centimetre grid. y 6 B E 5 4 3 R 2 1 A D C F O x 1 2 3 4 5 6 7 8 9 10 Find the area of the re
November 2021, Paper 1 Foundation, Q16 (5 marks): The diagram shows the front of a wooden door with a semicircular glass window. Diagram NOT accurately drawn 0.5 m 2 m 0.75 m Julie wants to apply 2 coats of woo
November 2021, Paper 1 Foundation, Q17 (5 marks): Yasmin has some identical rectangular tiles. Each tile is L cm by W cm. Diagram NOT L cm accurately drawn W cm Using 9 of her tiles, Yasmin makes rectangle ABCD
November 2021, Paper 1 Higher, Q4 (5 marks): The diagram shows the front of a wooden door with a semicircular glass window. Diagram NOT accurately drawn 0.5 m 2 m 0.75 m Julie wants to apply 2 coats of woo
November 2021, Paper 1 Higher, Q5 (5 marks): Yasmin has some identical rectangular tiles. Each tile is L cm by W cm. Diagram NOT L cm accurately drawn W cm Using 9 of her tiles, Yasmin makes rectangle ABCD
November 2021, Paper 1 Higher, Q19 (6 marks): ABCED is a five-sided shape. E Diagram NOT accurately drawn D C y cm A x cm B ABCD is a rectangle. CED is an equilateral triangle. AB = x cm BC = y cm The perim
November 2021, Paper 2 Foundation, Q4 (4 marks): (a) Change 5.48 metres into centimetres. cm (b) Change 4600 millilitres into litres. litres Here is an isosceles triangle ABC. B Diagram NOT accurately drawn C
November 2021, Paper 2 Foundation, Q18 (4 marks): Here are two rectangles, rectangle A and rectangle B. rectangle A rectangle B Diagram NOT accurately drawn (2x – 1) cm (5 – x) cm 4 cm 5 cm The area of rectangl
November 2021, Paper 2 Higher, Q2 (4 marks): Here are two rectangles, rectangle A and rectangle B. rectangle A rectangle B Diagram NOT accurately drawn (2x – 1) cm (5 – x) cm 4 cm 5 cm The area of rectangl
November 2021, Paper 2 Higher, Q18 (5 marks): Here is a quadrilateral ABCD. B 12 cm Diagram NOT 60° accurately drawn C 9 cm 7 cm 84° D A Calculate the area of quadrilateral ABCD. Give your answer correct to
June 2021, Paper 1 Foundation, Q7 (4 marks): The diagram shows a rectangle and a square. Diagram NOT 10 cm accurately drawn 6 cm The perimeter of the rectangle is equal to the perimeter of the square. The
June 2021, Paper 1 Foundation, Q18 (4 marks): x cm A B Diagram NOT accurately drawn 8 cm 14 cm C E D 13 cm The diagram shows the shape ABCDE. The area of the shape is 91.8 cm² Work out the value of x. x =
June 2021, Paper 1 Higher, Q3 (4 marks): x cm A B Diagram NOT accurately drawn 8 cm 14 cm C E D 13 cm The diagram shows the shape ABCDE. The area of the shape is 91.8 cm² Work out the value of x. x =
June 2021, Paper 1 Higher, Q12 (2 marks): The diagram shows a sector of a circle with radius 7 cm. Diagram NOT 7 cm accurately drawn 50° Work out the length of the arc of the sector. Give your answer co
June 2021, Paper 1 Higher, Q25 (6 marks): The diagram shows two circles such that the region R, shown shaded in the diagram, is the region common to both circles. Diagram NOT accurately drawn A 4 cm 5 c
June 2021, Paper 2 Foundation, Q11 (2 marks): A circle has radius 7.5 cm Work out the area of the circle. Give your answer correct to 3 significant figures. cm2
January 2021 (R), Paper 1 Foundation, Q13 (2 marks): A circle has diameter 18 cm. Work out the area of the circle. Give your answer correct to 3 significant figures. 2 cm
January 2021 (R), Paper 1 Foundation, Q25 (5 marks): The diagram shows one face of a wall. This face is in the shape of a pentagon with exactly one line of symmetry. Diagram NOT 7 m 7 m accurately drawn 6 m 6 m 10
January 2021 (R), Paper 1 Higher, Q10 (5 marks): The diagram shows one face of a wall. This face is in the shape of a pentagon with exactly one line of symmetry. Diagram NOT 7 m 7 m accurately drawn 6 m 6 m 10
January 2021 (R), Paper 2 Foundation, Q12 (3 marks): The diagram shows a rectangle ABCD and a semicircle with diameter AB where AB = 12 cm. The point E lies on DC and also on the semicircle. D E C Diagram NOT accu
January 2021 (R), Paper 2 Higher, Q2 (3 marks): The diagram shows a rectangle ABCD and a semicircle with diameter AB where AB = 12 cm. The point E lies on DC and also on the semicircle. D E C Diagram NOT accu
January 2021 (R), Paper 2 Higher, Q11 (4 marks): A circle centre O has radius 9 cm. Diagram NOT accurately drawn O 40° 9 cm Calculate the perimeter of the shaded sector of the circle. Give your answer correct
January 2021 (R), Paper 2 Higher, Q20 (5 marks): A, B and C are points on a circle with centre O. B Diagram NOT accurately drawn 75° O A C Angle ABC = 75° The area of the shaded segment is 200 cm 2 Calculate t
January 2021, Paper 1 Foundation, Q24 (3 marks): The region, shown shaded in the diagram, is a path. Diagram NOT 2 m accurately drawn O 7 m The boundary of the path is formed by two semicircles, with the same
January 2021, Paper 1 Higher, Q8 (3 marks): The region, shown shaded in the diagram, is a path. Diagram NOT 2 m accurately drawn O 7 m The boundary of the path is formed by two semicircles, with the same
January 2021, Paper 2 Foundation, Q10 (4 marks): The diagram shows a right-angled triangle. Diagram NOT accurately drawn (6x + 11) cm 4x cm (9x – 18) cm The perimeter of the triangle is 126 cm. Work out the ar
January 2021, Paper 2 Foundation, Q14 (5 marks): The diagram shows a trapezium. Diagram NOT 13.5 cm accurately drawn 10.4 cm 17 cm (a) Work out the area of the trapezium. cm 2 The diagram shows a cuboid. Diagr
January 2021, Paper 2 Foundation, Q22 (5 marks): A, B and C are points on a circle with centre O. C Diagram NOT accurately drawn O 15 cm A 8 cm B AOC is a diameter of the circle. AB = 8 cm BC = 15 cm Angle ABC
January 2021, Paper 2 Higher, Q8 (5 marks): A, B and C are points on a circle with centre O. C Diagram NOT accurately drawn O 15 cm A 8 cm B AOC is a diameter of the circle. AB = 8 cm BC = 15 cm Angle ABC
January 2021, Paper 2 Higher, Q20 (4 marks): Q A P B Diagram NOT accurately drawn R F C T E D The diagram shows a shaded region T formed by removing an equilateral triangle PQR from a regular hexagon ABCDE
January 2021, Paper 2 Higher, Q22 (6 marks): The diagram shows a sector OBC of a circle with centre O and radius (6 + x) cm. O A Diagram NOT 50° 6 cm B accurately drawn D x cm C A is the point on OB and D
November 2020 (R), Paper 1 Foundation, Q10 (4 marks): The diagram shows a square and an isosceles triangle. Diagram NOT accurately drawn 6 cm 6 cm 6 cm The square has sides of length 6 cm. The base of the isosceles
November 2020 (R), Paper 1 Foundation, Q15 (2 marks): Diagram NOT O accurately drawn 15 cm The diagram shows a circle, centre O, with radius 15 cm. Work out the area of the circle. Give your answer in cm2 correct t
November 2020 (R), Paper 1 Higher, Q19 (3 marks): The diagram shows rectangle ABCD with rectangle EFGH cut out to form the shaded region. A D E H Diagram NOT accurately drawn F G B C AD = 8.3 cm correct to one
November 2020 (R), Paper 1 Higher, Q22 (6 marks): The diagram shows a regular octagon ABCDEFGH. B C Diagram NOT accurately drawn A D 10 cm H E G F Each side of the octagon has length 10 cm. Find the area of the
November 2020 (R), Paper 2 Foundation, Q5 (6 marks): The diagram shows a quadrilateral ABCD drawn on a square grid. A B D C (a) Measure the length of BC. cm (b) Write down the mathematical name of quadrilateral AB
November 2020 (R), Paper 2 Higher, Q19 (4 marks): B Diagram NOT O accurately drawn 12 cm C A D A, B, C and D are points on a circle with centre O and radius 12 cm. The area of the sector OADC of the circle is 1
November 2020, Paper 1 Foundation, Q11 (2 marks): A circle has radius 18 cm. Work out the circumference of the circle. Give your answer correct to 3 significant figures. cm
November 2020, Paper 1 Higher, Q11 (6 marks): The diagram shows trapezium ABCD in which BC and AD are parallel. 8.4 cm B C Diagram NOT accurately drawn A D 17.6 cm The trapezium has exactly one line of symm
November 2020, Paper 2 Foundation, Q13 (5 marks): The diagram shows the plan of Sophia’s gym floor. 20 m Diagram NOT accurately drawn 12 m 26 m Sophia is going to paint all the gym floor. Each tin of paint she
November 2020, Paper 2 Foundation, Q23 (4 marks): The diagram shows an isosceles triangle. Diagram NOT accurately drawn 8.5 cm 8.5 cm 8 cm Work out the area of the triangle. cm2
November 2020, Paper 2 Higher, Q8 (4 marks): The diagram shows an isosceles triangle. Diagram NOT accurately drawn 8.5 cm 8.5 cm 8 cm Work out the area of the triangle. cm2
January 2020 (R), Paper 1 Foundation, Q8 (4 marks): Here is a rectangle. Diagram NOT accurately drawn 4 cm 28 cm2 The area of the rectangle is 28 cm2 Three of these rectangles are used to make the shape below. Di
January 2020 (R), Paper 1 Foundation, Q18 (3 marks): The diagram shows Yuen’s garden. Diagram NOT accurately drawn 7.2 m The garden is in the shape of a semicircle of radius 7.2 m. Yuen is going to cover his garde
January 2020 (R), Paper 1 Higher, Q5 (3 marks): The diagram shows Yuen’s garden. Diagram NOT accurately drawn 7.2 m The garden is in the shape of a semicircle of radius 7.2 m. Yuen is going to cover his garde
January 2020 (R), Paper 2 Higher, Q13 (3 marks): G F Diagram NOT accurately drawn 7 cm B C H h cm E 10 cm A 12 cm D The diagram shows a prism ABCDEFGH in which ABCD is a trapezium with BC parallel to AD and CD
January 2020 (R), Paper 2 Higher, Q24 (5 marks): L1 and L2 are two straight lines. The origin of the coordinate axes is O. L1 has equation 5x + 10y = 8 L2 is perpendicular to L1 and passes through the point wi
January 2020, Paper 1 Foundation, Q16 (4 marks): The diagram shows a shape. 12 cm Diagram NOT accurately drawn 6 cm 9 cm x cm The shape has area 129 cm2 Work out the value of x. x =
January 2020, Paper 1 Higher, Q3 (4 marks): The diagram shows a shape. 12 cm Diagram NOT accurately drawn 6 cm 9 cm x cm The shape has area 129 cm2 Work out the value of x. x =
January 2020, Paper 1 Higher, Q14 (5 marks): The diagram shows parallelogram EFGH. 14.7 cm F G Diagram NOT accurately drawn 106° 9.3 cm E H EF = 9.3 cm FG = 14.7 cm Angle EFG = 106° (a) Work out the area o
January 2020, Paper 2 Foundation, Q3 (3 marks): Here is a rectangle made from 12 square tiles. Diagram NOT accurately drawn The perimeter of each tile is 20 cm. Work out the area of the rectangle. cm2
January 2020, Paper 2 Foundation, Q27 (5 marks): The diagram shows a shaded shape ABCD made from a semicircle ABC and a right‑angled triangle ACD. B A C Diagram NOT accurately drawn 17 cm 15 cm D AC is the dia
January 2020, Paper 2 Higher, Q11 (5 marks): The diagram shows a shaded shape ABCD made from a semicircle ABC and a right‑angled triangle ACD. B A C Diagram NOT accurately drawn 17 cm 15 cm D AC is the dia
January 2020, Paper 2 Higher, Q26 (6 marks): Here is a sector, AOB, of a circle with centre O and angle AOB = x° O Diagram NOT x° accurately drawn A B The sector can form the curved surface of a cone by jo
June 2019 (R), Paper 1 Foundation, Q4 (4 marks): Here is a centimetre grid. (a) On the grid, draw a rectangle with a perimeter of 14 cm. Here is a centimetre grid. (b) On the grid, draw a right-angled triangle
June 2019 (R), Paper 1 Foundation, Q20 (4 marks): The diagram shows isosceles triangle ABC. A Diagram NOT accurately drawn 7.5 cm 7.5 cm 6 cm B C AB = AC = 7.5 cm. The height of the triangle is 6 cm. Calculate
June 2019 (R), Paper 1 Foundation, Q25 (3 marks): force pressure = area A box, in the shape of a cuboid, is going to be put on a table. The whole of one face of the box will be in contact with the table. The fo
June 2019 (R), Paper 1 Higher, Q7 (4 marks): The diagram shows isosceles triangle ABC. A Diagram NOT accurately drawn 7.5 cm 7.5 cm 6 cm B C AB = AC = 7.5 cm. The height of the triangle is 6 cm. Calculate
June 2019 (R), Paper 1 Higher, Q12 (3 marks): force pressure = area A box, in the shape of a cuboid, is going to be put on a table. The whole of one face of the box will be in contact with the table. The fo
June 2019 (R), Paper 2 Foundation, Q10 (4 marks): The diagram shows kite ABCD. Diagram NOT accurately drawn D 140° (a) Work out the size of the angle marked x. The diagram shows kite PQRS. 33 cm Diagram NOT acc
June 2019 (R), Paper 2 Higher, Q19 (6 marks): The diagram shows a sector OAPB of a circle, centre O. P A B Diagram NOT accurately drawn 80° O AB is a chord of the circle. Angle AOB = 80° The area of sector
June 2019, Paper 1 Foundation, Q23 (5 marks): The diagram shows a shape made from a right-angled triangle and a semicircle. Diagram NOT accurately drawn A C 6 cm 6 cm B AC is the diameter of the semicircle.
June 2019, Paper 1 Higher, Q9 (5 marks): The diagram shows a shape made from a right-angled triangle and a semicircle. Diagram NOT accurately drawn A C 6 cm 6 cm B AC is the diameter of the semicircle.
June 2019, Paper 2 Higher, Q12 (4 marks): ABCD is a trapezium. 21.2 cm C B Diagram NOT accurately drawn 16.7 cm 43° A D Calculate the perimeter of the trapezium. Give your answer correct to 3 significan
June 2019, Paper 2 Higher, Q19 (6 marks): ABCD is a quadrilateral. A Diagram NOT accurately drawn 39° 26 cm D 95° B 47° C The area of triangle ACD is 250 cm2 Calculate the area of the quadrilateral ABCD
January 2019 (R), Paper 1 Foundation, Q25 (3 marks): The shape, shown shaded in the diagram, is the region between two semicircles. Diagram NOT [2cm accurately drawn - 12 cm The diameter of the outer semicircle is
January 2019 (R), Paper 1 Higher, Q10 (3 marks): The shape, shown shaded in the diagram, is the region between two semicircles. Diagram NOT T2cm accurately drawn - 12 cm The diameter of the outer semicircle is
January 2019 (R), Paper 2 Foundation, Q12 (5 marks): The diagram shows the plan of the floor in a room. 3 m Diagram NOT accurately drawn 9 m 5 m 8 m Alonso is going to cover the floor once with polish. He buys som
January 2019 (R), Paper 2 Higher, Q22 (6 marks): Q Diagram NOT accurately drawn P B A 45° O OPQ is a sector of a circle, centre O OAB is a sector of a circle, centre O A is the point on OP such that OA : AP =
January 2019, Paper 1 Foundation, Q17 (4 marks): The diagram shows an isosceles triangle ABC and a semicircle with centre O and diameter 12 cm. The point B lies on the semicircle. B Diagram NOT accurately draw
January 2019, Paper 1 Higher, Q8 (4 marks): The diagram shows an isosceles triangle. Diagram NOT accurately drawn x cm x cm 5 cm The area of the triangle is 12 cm2 Work out the perimeter of the triangle.
January 2019, Paper 2 Foundation, Q12 (5 marks): A circle has radius 9 cm. (a) Work out the circumference of the circle. Give your answer correct to 1 decimal place. cm The diagram shows the pentagon ABCDE. B
January 2019, Paper 2 Foundation, Q19 (5 marks): Calvin has 12 identical rectangular tiles. He arranges the tiles to fit exactly round the edge of a shaded rectangle, as shown in the diagram below. Diagram NOT
January 2019, Paper 2 Higher, Q5 (5 marks): Calvin has 12 identical rectangular tiles. He arranges the tiles to fit exactly round the edge of a shaded rectangle, as shown in the diagram below. Diagram NOT
January 2019, Paper 2 Higher, Q15 (6 marks): The diagram shows a trapezium. (x + 5) Diagram NOT accurately drawn (2x – 3) (3x – 2) All measurements shown on the diagram are in centimetres. The area of the

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