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Oak MathsTest · Maths

Problem solving with 2D shapes

The starter and exit quiz of the lesson “Problem solving with 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 carpet costs £30 per m². 8.5 m² of carpet costs £___.
  2. A ___ shape is a shape created using two or more basic shapes.
  3. A rectangle has a base of 8 cm and an area of 40 cm². The height of the rectangle is ___ cm.
  4. A circle has a diameter of 9 cm. What is its area (to 1 decimal place)?
  5. Which calculations would find the perimeter of the compound rectilinear shape?
  6. The area of the compound rectilinear shape is ___ cm².
  7. The length of the square is 20 cm. Calculate the area of the shaded region, give your answer correct to 1 decimal place.
  8. The radius of the circle is 20 cm. Which calculation can be used to find the area of the shaded region?
  9. The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 90 m². The area of each congruent rectangle is ___ m².
  10. The perimeter of the square is 40 cm. The area of the shaded region is ___ cm² (to 1 decimal place).
  11. The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 120 cm² and a = 10. Calculate the length of the longest side.
  12. The compound rectilinear shape is constructed by joining two congruent rectangles. The total area is 80 cm² and a = 8. The perimeter of the shape is ___ cm.

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Problem solving with 2D shapes · Examplary