Printable · GCSE Foundation · ages 14-16
Geometry and measures worksheet — GCSE Foundation
Fifteen questions across the geometry and measures statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Geometry and measures worksheet — GCSE Foundation
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- 1.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 2.Two angles lie on a straight line. One angle is 37°. Work out the size of the other angle.
- 3.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.
- 4.A sprinkler waters a sector-shaped patch of a garden with radius 8 m and angle 90°. Work out the perimeter of the watered sector, to 1 decimal place. (Use π = 3.14.)
- 5.In geometry, which of the following best describes a 'plane'?
- 6.A quadrilateral has angles of 100°, 85° and 95° at three of its vertices. Work out the fourth angle.
- 7.Write down the name given to a triangle whose three sides are all the same length.
- 8.A parallelogram has an area of 96 cm² and a base of 8 cm. Work out the perpendicular height of the parallelogram.
- 9.A builder props a straight plank against a vertical wall to reach a window ledge. The foot of the plank is 2.1 m from the base of the wall, and the plank is 3.5 m long. Work out how high up the wall the plank reaches.
- 10.In quadrilateral ABCD, side AB is parallel to side DC. Which statement correctly uses geometric notation to show this?
- 11.In a right-angled triangle, the side opposite angle θ is 6 cm and the hypotenuse is 10 cm. Work out the size of angle θ. Give your answer correct to 1 decimal place.
- 12.A rectangular name card has a perimeter of 30 cm. The card is 9 cm long. Work out the width of the card.
- 13.A model car is built to a scale of 1 : 24. The real car is 4.32 m long. Work out the length of the model, in centimetres.
- 14.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.
- 15.In the RHS congruence condition, which three facts must be true about two triangles for RHS to prove they are congruent?
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