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.m is the column vector with top number 3 and bottom number −4. Which of these column vectors is a scalar multiple of m?
- 2.Freya is designing a triangular flower bed. Two of its corners have equal angles, and the angle at the third corner is 40°. Work out the size of one of the two equal corner angles.
- 3.A tap fills a tank at a rate of 18 litres per minute. The tank holds 0.45 m³. Work out how long the tap takes to fill the tank.
- 4.A solid pyramid has a square base of side 6 cm. Its apex is directly above the centre of the base, at a vertical height of 8 cm. Work out the volume of the pyramid.
- 5.A sector of a circle has radius 10 cm and angle 150°. Using π = 3.14, work out the perimeter of the sector, to 1 decimal place.
- 6.A recipe uses 1.25 kg of flour. Work out how many grams of flour this is.
- 7.Triangle XYZ has angle X = 90°. Angle Y = 34°. Work out angle Z.
- 8.A circular clock face has a diameter of 18 cm. Work out the circumference of the clock face. Use π = 3.14.
- 9.Which of these describes an obtuse angle?
- 10.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 11.A ladder rests against a wall, making an angle of 60° with the ground. The ladder is 2 m long. Using the exact value of sin 60°, work out how high up the wall the ladder reaches, giving your answer in centimetres.
- 12.How many vertices does a cylinder have?
- 13.A builder lays a low wall made from identical bricks. The diagram shows the plan of the wall's footprint on a grid, where each square is one brick. The wall is built up to a height of 4 bricks everywhere. Work out the total number of bricks used.
- 14.A wooden block is a cuboid measuring 2 cm by 10 cm by 15 cm. Work out the volume of the block.
- 15.Two sides of a triangle are 9 cm and 15 cm long. Write down which one of these lengths is possible for the third side.
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