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.A triangular sail for a small boat has a base of 2.4 m and a height of 1.75 m. Sailcloth costs £12.50 per m². Work out the total cost of the sailcloth needed for the sail.
- 2.Write down how many right angles a right-angled triangle has.
- 3.Work out the length of the straight line segment joining the points (2, −4) and (−3, −4).
- 4.A triangle has vertices A(1, 1), B(5, 1) and C(5, 4). Work out the lengths of AB, BC and CA, and write down whether triangle ABC is right-angled.
- 5.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 6.A chord divides a circle into two regions, one larger than the other. Write down the term used for the smaller of these two regions.
- 7.A garden flower bed is in the shape of a trapezium. Its two parallel edges are 3.5 m and 6.5 m long, and the perpendicular distance between them is 4 m. Bedding plants cost £2.50 per square metre to cover the bed. Work out the total cost of the bedding plants.
- 8.A water tank is a cube with edges of length 2 m. Work out how many cubic centimetres the tank holds when it is full.
- 9.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?
- 10.A circular tabletop has a radius of 15 cm. Work out the area of the tabletop. Use π = 3.14. Give your answer to 1 decimal place.
- 11.Three of these are rational numbers and one is irrational. Write down the one that is irrational.
- 12.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
- 13.A right-angled triangle has its two shorter sides equal to 8 cm and 15 cm. Work out the value of cos θ, where θ is the angle opposite the 8 cm side. Give your answer as a fraction.
- 14.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 15.A footpath sign shows a distance of 0.45 km to the next village. Work out this distance in metres.
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