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 triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 2.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
- 3.In triangle ABC the base BC is 10 cm long and the sloping side AB is 13 cm long. The perpendicular height from A down to BC is 12 cm. Work out the area of triangle ABC.
- 4.In triangle ABC and triangle DEF, AB = DE, AC = DF, and the angle at A equals the angle at D. Write down the congruence condition that proves the two triangles are congruent.
- 5.Vertex X of a triangle is at (−3, 5). After a translation, the image of X is at (2, −1). Write down the column vector of this translation.
- 6.Compasses are opened to exactly half the length of AB, and arcs are drawn centred at A and at B, to construct the perpendicular bisector of AB. Why does this fail?
- 7.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 8.Lines AB and CD cross at a point, forming four right angles where they meet. Which notation correctly describes the relationship between AB and CD?
- 9.Which pair of points lies on a horizontal line when the points are plotted on a coordinate grid?
- 10.How many vertices does a cylinder have?
- 11.The diagram shows a cuboid. Work out the area of its front elevation, in square centimetres.
- 12.A quadrilateral has exactly two lines of symmetry, its two pairs of opposite angles are equal, and its diagonals are not equal in length. Write down the name of this quadrilateral.
- 13.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 14.A cylinder has a radius of 5 cm. Its volume is 471 cm³. Using π = 3.14, work out the height of the cylinder.
- 15.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
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