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IGCSE Mathematics 0580, topic C5.5

Compound shapes and parts of shapes: past paper questions

10 Cambridge IGCSE Mathematics 0580 questions on Compound shapes and parts of shapes (C5.5) from 9 papers, 2023 to 2026. Open the paper or try a question free.

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Questions
10
Papers
9
Years
2023 to 2026
Total marks
58
Average per question
5.8 marks
Largest question
11 marks

By type: Structured 10

How hard the questions are

  • Recall0
  • Apply10
  • Analyse0
  • Not banded0

Derived from the command word Cambridge prints in each question, banded by a fixed table beside the syllabus's own definitions. A question printing no command word is unbanded: unknown, not middling.

Command words

  • calculateApply6 questions

    work out from given facts, figures or information

  • findApply4 questions
  • work outApply2 questions

    calculate from given facts, figures or information with or without the use of a calculator

Where the questions come from

By year

  • 20262
  • 20254
  • 20243
  • 20231

By session

  • May/June8
  • Oct/Nov2

By paper

  • Paper 12
  • Paper 38

Questions on this topic

Showing 10 of 10, spread across the years. Open one to write your answer and have it marked.

  • Question 17May/June 2026, paper 31Structured4 marksHas a diagram

    The diagram shows a circle inside a rectangle. The shaded area is 450 cm2. Find the radius of the circle.

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  • Question 22Oct/Nov 2025, paper 32Structured6 marksHas a diagram

    The diagram shows a garden. The garden has a circular pond and the shaded area is grass. The width of the grass area is equal to the diameter of the pond.

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  • Question 7Oct/Nov 2024, paper 31Structured11 marksHas a diagram

    Find the perimeter of the triangle.

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  • Question 10May/June 2023, paper 31Structured7 marksHas a diagram

    The diagram shows a right-angled triangle, ABC, and a semicircle. The radius of the semicircle is 4.5 cm. AC=8.9 cm and BC=13.2 cm.

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  • Question 20May/June 2026, paper 32Structured4 marksHas a diagram

    A metal rectangle is 25 cm by 60 cm. 12 circles, each with radius 5 cm, are cut out of the metal. Calculate the percentage of the metal remaining.

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  • Question 25May/June 2025, paper 12Structured3 marksHas a diagram

    The diagram shows a shape made from two different semicircles, with the same centre. The radius of the large semicircle is 7 cm. The radius of the small semicircle is 4 cm.

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  • Question 25May/June 2024, paper 11Structured7 marksHas a diagram

    The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL. JKL is an isosceles right-angled triangle with JK=JL=12.8 cm. Calculate the area of this shape.

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  • Question 16May/June 2025, paper 31Structured3 marksHas a diagram

    The diagram shows a shape made from a square and four congruent isosceles triangles. Work out the area of this shape.

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  • Question 8May/June 2024, paper 33Structured10 marksHas a diagram

    Find the area of this trapezium.

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  • Question 29May/June 2025, paper 31Structured3 marksHas a diagram

    This shape is made from a rectangle and a semicircle. The diameter of the semicircle is 10 cm. Calculate the perimeter of this shape.

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