Geometry and measures worksheet — GCSE Foundation

1.A recipe uses 0.75 kg of sugar. Work out how many grams of sugar this is.

2.A right-angled triangle has angles of 90°, 40° and x°. Work out the value of x.

3.Three of these are rational numbers and one is irrational. Write down the one that is irrational.

4.A circle is drawn on a page. Write down how many radii can be drawn in the circle.

5.In triangle ABC and triangle DEF, AB = DE, AC = DF, and the angle at A equals the angle at D. Write down the congruence condition that proves the two triangles are congruent.

6.A stained-glass window panel is designed as a kite. Two adjacent sides are each 25 cm, and the other two adjacent sides are each 40 cm. A frame is fitted around the whole panel. The frame costs £2.50 per metre, sold only in whole metres. Work out the total cost of the frame.

8.In triangle ABC and triangle DEF, the angle at A equals the angle at D, and AB ÷ DE = AC ÷ DF. Write down what this proves about the two triangles.

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

10.Lines AB and CD are parallel. A straight line EF crosses AB at point P and crosses CD at point Q. At P, angle APE = 65°. Angle APE and angle BPQ are vertically opposite. Angle BPQ and angle PQD are co-interior (allied) angles. Work out angle PQD.

11.A construction for the perpendicular bisector of AB begins by opening a pair of compasses to more than half the length of AB, then drawing an arc centred at A. What is the next step?

12.How many faces does a cuboid have?

13.Loose sweets are sold at £1.20 per 100 g. Work out the cost of 350 g of sweets.

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

15.In geometry, which of the following best describes a 'plane'?