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.
Geometry and measures worksheet — GCSE Foundation
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- 1.Which of the following is the correct definition of a regular polygon?
- 2.A ship's radio can be heard up to 30 km from the ship. A lighthouse's light can be seen up to 20 km from the lighthouse. The ship and the lighthouse are 40 km apart along the coast. Describe the region where BOTH the radio can be heard AND the light can be seen.
- 3.A fan-shaped rug is in the shape of a sector of a circle with radius 4 m and angle 180°. It costs £4 per square metre to make. Using π = 3.14, work out the total cost of the rug.
- 4.m is the column vector with top number 4 and bottom number 6. n is the column vector with top number −6 and bottom number −9. Given that n = k × m for some number k, work out the value of k.
- 5.A water tank holds 2.5 m³. Work out this volume in cm³.
- 6.Here are four trigonometric ratios of special angles. Write down the one that does not have a value.
- 7.Write down the exact value of tan 60°.
- 8.A tank holds 3.2 m³ of water. Work out this volume in litres.
- 9.Two triangles are congruent to each other. What does this tell you about their angles and sides?
- 10.Two of the angles in a triangle are 50° and 70°. Work out the size of the third angle.
- 11.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
- 12.A hiker walks due west. What is the three-figure bearing for this direction?
- 13.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?
- 14.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
- 15.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.
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