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.A parallelogram has an area of 136 cm² and a base of 17 cm. Work out the perpendicular height of the parallelogram.
- 2.A postcard measuring 10 cm by 15 cm is enlarged by a scale factor of 2 to make a poster. Work out the area of the poster, in cm².
- 3.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 4.A right-angled triangle has angles of 90°, 40° and x°. Work out the value of x.
- 5.A ladder of length 7 m leans against a vertical wall. The foot of the ladder is 3 m from the base of the wall. Work out how high up the wall the ladder reaches. Give your answer correct to 1 decimal place.
- 6.A robotic arm's tip starts at the point (12.5, −4.25) on a grid measured in centimetres. It moves by the vector to pick up a component, then by the vector to place it. Work out the coordinates of the tip after both moves.
- 7.A sector of a circle has radius 6 cm and an area of 4.71 cm². Using π = 3.14, work out the angle of the sector.
- 8.In triangle ABC, point D lies on side AB and point E lies on side AC, so that DE is parallel to BC. AD = 3 cm, DB = 6 cm and DE = 4 cm. Work out the length of BC.
- 9.The bearing of a harbour B from a ferry's position A is 260°. What is the bearing of A from B?
- 10.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
- 11.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.
- 12.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 13.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.
- 14.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 15.A triangular prism has two triangular faces and three rectangular faces. How many vertices does a triangular prism have?
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