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Compound shapes and parts of shapes: CAIE IGCSE Maths questions

Every CAIE IGCSE Maths exam question on 5.5 Compound shapes and parts of shapes, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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228 questions

  1. Q25

    June 2024 · Paper 1

    7 marks5.5 Compound shapes and parts of shapes5.3 Circles, arcs and sectors
    The whole paper ↗
    June 2024 Paper 1, question 25: 12.8cm J L NOT TO SCALE 12.8cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle

  2. Q7

    June 2024 · Paper 2

    7 marks5.5 Compound shapes and parts of shapes5.3 Circles, arcs and sectors
    The whole paper ↗
    June 2024 Paper 2, question 7: 12.8cm J L NOT TO SCALE 12.8cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle

  3. Q8

    June 2024 (0980) · Paper 3

    10 marks5.5 Compound shapes and parts of shapes5.2 Area and perimeter
    The whole paper ↗
    June 2024 (0980) Paper 3, question 8: B 3.6m A NOT TO SCALE 4.7m E F 1.7m C D 5.5m The diagram shows a plan, ABCDE, of the floor of a room in Jo’s house. F is a point inside the room. (a) (i) Show t

  4. Q4

    June 2024 (0980) · Paper 4

    15 marks5.5 Compound shapes and parts of shapes5.4 Surface area and volume
    The whole paper ↗
    June 2024 (0980) Paper 4, question 4: (a) NOT TO SCALE 12cm 1m The diagram shows a tank in the shape of a half-cylinder of radius 12 cm and length 1 metre. The tank is fixed horizontally and is comp

  5. Q14

    Specimen · Paper 1

    4 marks5.2 Area and perimeter5.5 Compound shapes and parts of shapes
    The whole paper ↗
    Specimen Paper 1, question 14: The diagram shows a shape made from two different parallelograms. The shape has a total area of 210 cm2. 15cm xcm NOT TO SCALE 4cm Find the value of x. x = [4]

  6. Q8

    Specimen · Paper 2

    3 marks5.3 Circles, arcs and sectors5.5 Compound shapes and parts of shapes
    The whole paper ↗
    Specimen Paper 2, question 8: NOT TO SCALE 9cm The diagram shows a semicircle with diameter 9 cm. Calculate the total perimeter of this semicircle. Give your answer in exact form. cm [3]
All 6 questions on Compound shapes and parts of shapes, as a list
  1. June 2024, Paper 1, Q25 (7 marks): 12.8cm J L NOT TO SCALE 12.8cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle
  2. June 2024, Paper 2, Q7 (7 marks): 12.8cm J L NOT TO SCALE 12.8cm K The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle
  3. June 2024 (0980), Paper 3, Q8 (10 marks): B 3.6m A NOT TO SCALE 4.7m E F 1.7m C D 5.5m The diagram shows a plan, ABCDE, of the floor of a room in Jo’s house. F is a point inside the room. (a) (i) Show t
  4. June 2024 (0980), Paper 4, Q4 (15 marks): (a) NOT TO SCALE 12cm 1m The diagram shows a tank in the shape of a half-cylinder of radius 12 cm and length 1 metre. The tank is fixed horizontally and is comp
  5. Specimen, Paper 1, Q14 (4 marks): The diagram shows a shape made from two different parallelograms. The shape has a total area of 210 cm2. 15cm xcm NOT TO SCALE 4cm Find the value of x. x = [4]
  6. Specimen, Paper 2, Q8 (3 marks): NOT TO SCALE 9cm The diagram shows a semicircle with diameter 9 cm. Calculate the total perimeter of this semicircle. Give your answer in exact form. cm [3]

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