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 locus is described as the set of points exactly 4 cm from a fixed point O. What shape is this locus?
- 2.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 3.A sector of a circle has an angle of 90° at the centre. Write down what fraction of the whole circle this sector represents.
- 4.A photograph is 10 cm wide and 15 cm tall. It is enlarged to make a similar poster that is 40 cm wide. The poster costs £0.80 per centimetre of its height to print, based on its full height. Work out the cost of printing the poster.
- 5.A sector of a circle has radius 5 cm and angle 72°. Work out the arc length of the sector, in terms of π.
- 6.A robot on a grid moves by the vector , then by the vector , then by the vector . Write down the single column vector that has the same overall effect as these three moves.
- 7.The diagram shows a solid made from two cuboids joined together. Which shape is the front elevation of this solid?
- 8.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 9.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 10.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 11.A solid pyramid has a square base of side 6 cm. Its apex is directly above the centre of the base, at a vertical height of 8 cm. Work out the volume of the pyramid.
- 12.A dog is tied by a lead 4 m long to a fixed ring on a straight garden wall. The wall extends much further than the lead can reach in both directions, and the dog cannot cross through it. Describe the region the dog can reach.
- 13.A scale drawing of a rectangular lawn uses a scale of 1 : 125. On the drawing, the lawn measures 4 cm by 2.4 cm. Work out the perimeter of the real lawn, in metres.
- 14.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.
- 15.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
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