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.In triangle ABC and triangle DEF, AB = DE, angle ABC = angle DEF and BC = EF. Write down the congruence condition that proves the two triangles are congruent.
- 2.A garden bed is designed as a trapezium. The two parallel sides are 8 m and 12 m, and the perpendicular distance between them is 5 m. Grass seed covers 4 m² per bag, sold only in whole bags. Work out how many bags of grass seed are needed.
- 3.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 4.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 5.A tank holds 3.2 m³ of water. Work out this volume in litres.
- 6.An angle is measured with a protractor as 47°. What type of angle is this?
- 7.A shape is translated by the vector and then by the vector . Write down the single column vector that has the same effect as those two translations together.
- 8.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 9.A shop stacks tins in a display block. The front elevation of the block is 4 tins wide and 3 tins high. The side elevation shows the block is 2 tins deep. Every position in the block is filled. How many tins are used in total?
- 10.A right-angled triangle has a hypotenuse of 14 cm. One of the other angles is 30°. Work out the exact length of the side opposite the 30° angle.
- 11.Two straight lines AB and CD cross at point O. Angle AOC = 74°. Work out angle AOD.
- 12.A cyclist rides around a perfectly circular track with centre O. At every moment of the ride, the distance from O to the cyclist is exactly the same. Which term names this fixed distance?
- 13.A cuboid has a length, width and height that are all different from each other. How many planes of symmetry does it have?
- 14.Triangle ABC is extended so that side BC is extended beyond C to a point D, forming exterior angle ACD. Angle BAC = 48° and angle ABC = 67°. Which single angle fact gives angle ACD = 115° in one step, without first working out the interior angle at C?
- 15.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
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