Printable · GCSE Higher · ages 14-16
Circles, composite shapes, spheres, pyramids and cones worksheet — GCSE Higher
Fifteen questions on "circles, composite shapes, spheres, pyramids and cones" — DfE statement G17. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Circles, composite shapes, spheres, pyramids and cones worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.A cylindrical candle and a cone-shaped candle have the same base radius and the same height. State the cone's volume as a fraction of the cylinder's volume.
- 2.A circular plate has a diameter of 20 cm. Work out the area of the plate. Use π = 3.14.
- 3.A circle has a radius of 1 cm. Work out the circumference of the circle. Give your answer in terms of π.
- 4.A solid pyramid has a square base of side 10 cm and four identical triangular faces. Its apex is directly above the centre of the base, at a vertical height of 12 cm, and the slant height of each triangular face — the distance from the apex to the midpoint of a base edge — is 13 cm. Work out the total surface area of the pyramid.
- 5.A solid pyramid has a square base of side 6 cm. Its apex is directly above the centre of the base, at a vertical height of 8 cm. Work out the volume of the pyramid.
- 6.A shape is made by joining two rectangles edge to edge, with no overlap. One rectangle measures 12 cm by 4 cm and the other measures 4 cm by 8 cm. Work out the total area of the shape.
- 7.A rectangular name card has a perimeter of 30 cm. The card is 9 cm long. Work out the width of the card.
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