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.
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Geometry and measures worksheet — GCSE Foundation
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- 1.Shape S has an area of 48 cm². It is enlarged by a scale factor of 1/4 to give shape T. Work out the area of shape T.
- 2.Write down the name given to a triangle whose three sides are all the same length.
- 3.Two angles are complementary. One of them is 35°. Work out the size of the other angle.
- 4.A rectangle has vertices at (2, 1), (9, 1), (9, 5) and (2, 5). Work out the area of the rectangle.
- 5.Quadrilateral WXYZ has WX parallel to ZY, and WZ = XY (the two non-parallel sides are equal in length). Give a reason why angle W = angle X.
- 6.A ladder rests against a wall, making an angle of 60° with the ground. The ladder is 2 m long. Using the exact value of sin 60°, work out how high up the wall the ladder reaches, giving your answer in centimetres.
- 7.Point A is at (5, 2). It is translated by the vector (−3, 4) to give point A′. Work out the coordinates of A′.
- 8.A straight fence is 5 m long. Describe the shape of the region made up of every point on the ground within 2 m of any part of the fence.
- 9.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
- 10.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 11.A rhombus has all four sides equal in length, but it is not a square — its angles are not all 90°. How many lines of symmetry does this rhombus have?
- 12.A shop sells a scale model of a van. The model and the real van are similar shapes, with lengths in the ratio 1 : 24. The model is 18.5 cm long. Work out the length of the real van, giving your answer in metres.
- 13.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 14.A line segment joins A(1, 1) and B(4, 7). Write down the sign of the gradient of this line.
- 15.A circular coin has a diameter of 3 cm. Work out the circumference of the coin. Give your answer in terms of π.
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