Geometry and measures worksheet — GCSE Foundation

1.A kitchen scale is marked in equal divisions of 20 g. The pointer rests three divisions past the 400 g mark. Work out the reading on the scale.

2.Write down the term for the distance all the way around the edge of a circle.

3.A sector of a circle has radius 6 cm and angle 150°. Using π = 3.14, work out the perimeter of the sector.

4.A circular garden pond has a diameter of 5 m. A gardener is laying gravel around it in a ring-shaped path 1 m wide, measured outward from the edge of the pond. Work out the area of the gravel path. Use π = 3.14.

5.A water tank is a cube with edges of length 2 m. Work out how many cubic centimetres the tank holds when it is full.

6.A zip wire is fixed at an angle of 50° to the horizontal, running from a high platform down to the ground. The zip wire itself, from the platform to the ground, is 12 m long. Work out the horizontal distance covered by the zip wire. Give your answer correct to 1 decimal place.

7.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.

8.The bearing of a campsite B from a walker's position A is 070°. What is the bearing of A from B?

9.A footpath is 3750 m long. Work out this distance in kilometres.

10.A survey team measures the angle between two fences with a protractor and gets a reading of 254°. What type of angle is this?

11.A cheese counter sells cheddar at £8.40 per kilogram. Work out the cost of a 350 g piece of cheddar.

12.A parallelogram has an area of 136 cm² and a base of 17 cm. Work out the perpendicular height of the parallelogram.

13.A model of a bridge is built to a scale where every length on the model is 1/240 of the matching length on the real bridge. A support beam on the model measures 3.6 cm. Work out the length of the real support beam, giving your answer in metres.

14.Two angles lie on a straight line. One angle is 37°. Work out the size of the other angle.

15.Three angles meet at a single point on one side of a straight line. Two of the angles are 48° and 65°. Work out the third angle.