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
MathsUKwww.geekhero.co.uk
- 1.A circular clock face has a diameter of 18 cm. Work out the circumference of the clock face. Use π = 3.14.
- 2.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.
- 3.A solid metal sphere has a radius of 5 cm. It is melted down and recast into a solid cylinder with the same radius, 5 cm. Work out the height of the cylinder, so that its volume equals the volume of the sphere. Use π = 3.14 and give your answer correct to 1 decimal place.
- 4.A rectangular name card has a perimeter of 30 cm. The card is 9 cm long. Work out the width of the card.
- 5.A circle has a radius of 1 cm. Work out the circumference of the circle. Give your answer in terms of π.
- 6.A circular pizza base has a radius of 12 cm. Work out the area of the pizza base. Use π = 3.14.
- 7.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.
- 8.A circular plate has a diameter of 20 cm. Work out the area of the plate. Use π = 3.14.
- 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 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.
- 11.A solid rubber ball has a radius of 3 cm. Work out the volume of the ball. Use π = 3.14.
- 12.A circular coin has a diameter of 3 cm. Work out the circumference of the coin. Give your answer in terms of π.
- 13.A solid ball has a radius of 7 cm. Work out the surface area of the ball. Use π = 3.14.
- 14.A circular coaster has a radius of 4 cm. Work out the circumference of the coaster. Give your answer in terms of π.
- 15.A window is made from a rectangle with a semicircle on top. The rectangle is 40 cm wide and 60 cm tall. The semicircle has the same width as the rectangle. Work out the total area of the window. Use π = 3.14. Give your answer to the nearest whole number.
Build your own mix at the worksheet builder.