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.
Non-calculator
Geometry and measures worksheet — GCSE Foundation
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- 1.Work out the exact value of tan 30° + tan 30°.
- 2.A right-angled triangle has a hypotenuse of 10 cm. One of its other angles is 45°. Work out the exact length of one of the two shorter sides.
- 3.Work out the distance between the point (0, 0) and the point (5, 12).
- 4.A fish tank is a cuboid measuring 40 cm long, 25 cm wide and 30 cm high. Water is poured in to a depth of 20 cm. Work out the volume of water in the tank, in litres.
- 5.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
- 6.The diagram shows a prism resting on a table. Which shape is its front elevation, the view looking at it from directly in front?
- 7.A rhombus has all four sides equal in length. Which statement about a rhombus is correct?
- 8.What does the statement AB = CD mean, where A, B, C and D are all points?
- 9.A robotic arm's tip starts at the point (12.5, −4.25) on a grid measured in centimetres. It moves by the vector to pick up a component, then by the vector to place it. Work out the coordinates of the tip after both moves.
- 10.Triangle A has a vertex at (1, 2). Triangle A is enlarged, centre (1, 1), to give triangle B, whose corresponding vertex is at (1, 5). Work out the scale factor of the enlargement.
- 11.Write down the name given to a triangle whose three sides are all the same length.
- 12.A square tile has sides of length 4.5 cm. Work out the perimeter of the tile.
- 13.The bearing of a campsite B from a walker's position A is 070°. What is the bearing of A from B?
- 14.p is the column vector with top number 2 and bottom number 3. q is the column vector with top number −1 and bottom number 4. Work out 2p + q, giving your answer as a column vector in the form (top, bottom).
- 15.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.
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