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 has 6 faces and 8 vertices. Using the formula F + V − E = 2, work out how many edges it has.
- 2.A treasure map has a scale of 1 cm to 4 m. A path from the start to a rock is drawn as two straight sections, measuring 3 cm and 2.5 cm. Work out the total real distance from the start to the rock, in metres.
- 3.In this question, a curved surface counts as a face. How many faces does a sphere have?
- 4.A parallelogram has an area of 54 cm² and a base of 9 cm. Work out its perpendicular height.
- 5.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 6.ABCD is an isosceles trapezium. The sides AB and DC are parallel, and the two sloping sides AD and BC are equal in length. Angle D is 112°. Work out the size of angle B.
- 7.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 8.In quadrilateral ABCD, side AB is parallel to side DC. Which statement correctly uses geometric notation to show this?
- 9.Point A and point B are 5 cm apart. How many points are exactly 4 cm from A and exactly 3 cm from B?
- 10.A parallelogram has an area of 84 cm² and a base of 12 cm. Work out the perpendicular height of the parallelogram.
- 11.Write down the exact value of sin 60°.
- 12.Point B is at (3, 5). It is reflected in the line y = 2. Work out the coordinates of the image of point B.
- 13.Two straight roads cross at a junction. The angle between them, measured with a protractor, is 118°. What is the size of the angle vertically opposite to it?
- 14.Write down the name given to a triangle whose three sides are all the same length.
- 15.A triangular badge has two sides of length 8 cm and a third side of length 5 cm. Work out the perimeter of the badge.
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