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.
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Geometry and measures worksheet — GCSE Foundation
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- 1.The bearing of a harbour B from a ferry's position A is 260°. What is the bearing of A from B?
- 2.A sector of a circle has angle 120° and an arc length of 31.4 cm. Using π = 3.14, work out the radius of the circle.
- 3.A circular coin has a diameter of 3 cm. Work out the circumference of the coin. Give your answer in terms of π.
- 4.Two similar hexagonal tiles have lengths in the ratio 4 : 7. A side of the smaller tile is 8.4 cm long. Work out the length of the corresponding side of the larger tile.
- 5.A right-angled triangle has a hypotenuse of 10 cm and one of its other angles is 45°. Work out the length of one of the two shorter sides. Give your answer to 1 decimal place.
- 6.A support strut for a shed roof is in the shape of a right-angled triangle. The two shorter sides of the strut are 5 m and 9 m. Work out the length of the sloping strut (the hypotenuse). Give your answer correct to 1 decimal place.
- 7.A quadrilateral has angles of 100°, 85° and 95° at three of its vertices. Work out the fourth angle.
- 8.A line segment is measured with a ruler and found to be 6.5 cm long. What is this length in millimetres?
- 9.Write down the exact value of sin 60°.
- 10.A solid ball has a radius of 7 cm. Work out the surface area of the ball. Use π = 3.14.
- 11.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 12.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.
- 13.A sector of a circle has radius 6 cm and an arc length of 15.7 cm. Using π = 3.14, work out the angle of the sector.
- 14.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?
- 15.A cake recipe takes 135 minutes from start to finish. Write this time as hours and minutes.
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