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.A survey team measures the angle between two fences with a protractor and gets a reading of 254°. What type of angle is this?
- 2.Write down the term for the distance all the way around the edge of a circle.
- 3.A triangular flag has a base of 40 cm and a perpendicular height of 25 cm. Work out its area.
- 4.A textbook contains the instruction 'Draw AB' and, on the next line, the statement 'AB = 5 cm'. Which statement about the notation AB is correct?
- 5.A kitchen scale is marked in equal divisions of 20 g. The pointer rests three divisions past the 400 g mark. Work out the reading on the scale.
- 6.A scale drawing uses a scale of 1 : 60. A path on the drawing is measured as 9.8 cm long. What is the real length of the path, in metres, to 1 decimal place?
- 7.A shop sells rice in packs of 250 g. Aisha buys 4 packs. Work out the total mass of rice she buys, in kilograms.
- 8.Two angles lie on a straight line. One angle is 37°. Work out the size of the other angle.
- 9.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 10.In a right-angled triangle, the two shorter sides are a and b, and the hypotenuse is c. Write down the correct statement of Pythagoras' theorem.
- 11.A parallelogram has a base of 9 cm and a perpendicular height of 4 cm. Work out its area.
- 12.Loose sweets are sold at £1.20 per 100 g. Work out the cost of 350 g of sweets.
- 13.The curved part of a circle's circumference, between two points on the circle, has its own name. Write down this name.
- 14.A quadrilateral has angles of 100°, 85° and 95° at three of its vertices. Work out the fourth angle.
- 15.A plumber charges a £45 call-out fee, plus £28 for each hour worked. She works on a job for 3 hours 30 minutes, and her hours are billed by rounding up to the next whole hour. Work out the total amount she charges.
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