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Oak MathsTest · Maths

Problem solving with complex 2D shapes

The starter and exit quiz of the lesson “Problem solving with complex 2D shapes”, from the unit “2D and 3D shape: compound shapes” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. A ___ is a circular graph where sectors represent different groups proportionally.
  2. Jacob wants to plot a pie chart to represent the data in the table. What angle for the sector representing 'museum' should Jacob use?
  3. A circle has diameter 10 cm. Its area is ____\pi cm².
  4. The diagram shows a sector of a circle with radius 10 cm. The angle at the centre of the sector is 70°. Which calculation would find the area of the sector?
  5. The diagram shows a sector of a circle with radius 12 cm. The angle at the centre of the sector is 60°. The area of the sector is ___\pi cm².
  6. The diagram shows a sector of a circle with radius 12 cm. The angle at the centre of the sector is 60°. The perimeter of the sector is ___ cm (to one decimal place).
  7. The diagram shows a square inscribed inside a circle. The length of the square is 6 cm. What is the diameter of the circle?
  8. The diagram shows a square inscribed inside a circle. The diameter of the circle is 6 cm. Work out the length of the square.
  9. The diagram shows a square inscribed inside a circle. The length of the square is 8 cm. The area of the circle is ___\pi cm².
  10. The diagram shows a square inscribed inside a circle. The diameter of the circle is 8 cm. The area of the square is ___cm².
  11. The diagram shows a square inscribed inside a circle. The diameter of the circle is 12 cm. Which calculation would find the area of the shaded region?
  12. The diagram shows a square inscribed inside a circle. The length of the square is 12 cm. The area of the shaded region is ___ cm² (to one decimal place).

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Problem solving with complex 2D shapes · Examplary