Geometry and measures worksheet — GCSE Foundation

1.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.

2.A chord is drawn across a circle, dividing the circle into two regions. Write down the name of one of these two regions.

3.Write down the exact value of sin 60°.

4.A trapezium has parallel sides of 5 cm and 11 cm, and a perpendicular height of 4 cm. Work out the area of the trapezium.

5.A parallelogram has a base of 20 cm and a sloping side of 13 cm. The perpendicular drawn from the top of that sloping side down to the base meets the base 5 cm from the foot of the sloping side, so the perpendicular, the 5 cm and the 13 cm sloping side form a right-angled triangle. Work out the area of the parallelogram.

6.A tap fills a tank at a rate of 18 litres per minute. The tank holds 0.45 m³. Work out how long the tap takes to fill the tank.

7.Two similar triangular tiles have lengths in the ratio 3 : 5. The longest side of the smaller tile is 9 cm. Work out the length of the longest side of the larger tile.

8.For two triangles to be proved congruent using SAS, which two facts must be true about both triangles?

9.In the RHS congruence condition, which three facts must be true about two triangles for RHS to prove they are congruent?

10.What does the statement AB = CD mean, where A, B, C and D are all points?

11.A solid is built from centimetre cubes standing on a table. Seen from the front, the left-hand column is 2 cubes high, the middle column is 2 cubes high and the right-hand column is 1 cube high. Work out how many squares make up the front elevation.

12.A straight line is drawn from the centre of a circle to a point on the circle. Write down the name of this line.

13.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.

14.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.

15.How many edges does a triangular prism have?