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Forming equations involving complex shape calculations

The starter and exit quiz of the lesson “Forming equations involving complex shape calculations”, from the unit “2D and 3D shape: surface area and volume (pyramids, spheres and cones)” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. A 3D shape that has 2 surfaces is a __________.
  2. The area of the curved surface of this frustum is ___𝜋 cm². Leave your answer in terms of 𝜋.
  3. The total surface area of this frustum is ___𝜋 cm². Leave your answer in terms of 𝜋.
  4. Work out the length of the side marked x on this frustum.
  5. Find the area of the curved surface of this frustum. Leave your answer in terms of 𝜋.
  6. The total surface area of this frustum is ___𝜋 cm². Leave your answer in terms of 𝜋.
  7. Match each measurement to the correct formula.
  8. Select the algebraic expression for the volume of this cone.
  9. The volume of this cone is the same as the volume of a sphere with a radius of 9 cm. The height, x of the cone is ___ cm.
  10. Find the volume of a cube with a surface area of 294 cm².
  11. The height of a cone is three times the length of its radius, r. Find an algebraic expression for the volume of the cone in terms of r.
  12. The radius of a cylinder is half of the height of the cylinder. The volume of the cylinder is 250𝜋 cm³. The surface area of the cylinder, in terms of 𝜋, is ___ cm².

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Forming equations involving complex shape calculations · Examplary