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.
Non-calculator
Geometry and measures worksheet — GCSE Foundation
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- 1.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.
- 2.A quadrilateral has vertices A(1, 1), B(5, 1), C(6, 4) and D(2, 4). By comparing the y-coordinates of A, B and of D, C, write down whether the sides AB and DC are parallel, and give a reason for your answer.
- 3.A circle has two straight radii drawn from the centre to the edge, together with the arc between them. Write down the name of the region enclosed by these two radii and the arc.
- 4.A cylindrical candle and a cone-shaped candle have the same base radius and the same height. State the cone's volume as a fraction of the cylinder's volume.
- 5.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 6.Two similar triangles have lengths in the ratio 2 : 5. The sides of the smaller triangle are 4 cm, 6 cm and 8 cm. Work out the length of the longest side of the larger triangle.
- 7.Quadrilateral PQRS has angle P = 92°, angle Q = 84° and angle R = 106°. Work out the size of angle S.
- 8.A circle has a radius of 1 cm. Work out the circumference of the circle. Give your answer in terms of π.
- 9.The perimeter of a square is 20 cm. Work out the area of the square.
- 10.Work out the exact value of sin 30° + cos 60°.
- 11.A circular coaster has a radius of 4 cm. Work out the circumference of the coaster. Give your answer in terms of π.
- 12.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 13.Two straight lines PQ and RS cross at point O. Angle POR = 52°. Work out angle QOS.
- 14.A solid has a plan view that is a circle, and a front elevation that is a triangle. Which solid is this?
- 15.A rhombus has all four sides equal in length. Which statement about a rhombus is correct?
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