Printable · GCSE Foundation · ages 14-16
Circles, composite shapes, spheres, pyramids and cones worksheet — GCSE Foundation
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.
Circles, composite shapes, spheres, pyramids and cones worksheet — GCSE Foundation
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- 1.A circular plate has a diameter of 20 cm. Work out the area of the plate. Use π = 3.14.
- 2.A circular coaster has a radius of 4 cm. Work out the circumference of the coaster. Give your answer in terms of π.
- 3.A birthday cake is a cylinder of radius 10 cm and height 8 cm, with a thin ribbon fixed exactly once around the curved side, at half the height, and joined with no overlap. Work out the length of ribbon needed. Use π = 3.14.
- 4.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.
- 5.A solid ball has a radius of 7 cm. Work out the surface area of the ball. Use π = 3.14.
- 6.A circular clock face has a diameter of 18 cm. Work out the circumference of the clock face. Use π = 3.14.
- 7.A gardener wants to buy edging trim to go all the way around a circular flower bed with a diameter of 8 m. Work out the length of edging trim needed, using π = 3.14. Give your answer to the nearest metre.
- 8.A circular coin has a diameter of 3 cm. Work out the circumference of the coin. Give your answer in terms of π.
- 9.A circular tabletop has a radius of 15 cm. Work out the area of the tabletop. Use π = 3.14. Give your answer to 1 decimal place.
- 10.A cylindrical water tank has a solid hemispherical dome on top, both with radius 2 m. Work out the volume of the hemispherical dome alone. Use π = 3.14 and give your answer correct to 3 decimal places.
- 11.A rectangular photograph is 12 cm long and 5 cm wide. Work out the perimeter of the photograph.
- 12.A circular pizza base has a radius of 12 cm. Work out the area of the pizza base. Use π = 3.14.
- 13.An ice cream is made from a cone of radius 3 cm and height 10 cm, topped with a hemisphere of the same radius sitting exactly on top of the cone. Work out the total volume of the ice cream. Use π = 3.14. Give your answer to the nearest whole number. Volume of a cone = 1/3 × πr²h. Volume of a sphere = 4/3 × πr³.
- 14.A circle has a radius of 1 cm. Work out the circumference of the circle. Give your answer in terms of π.
- 15.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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