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.Triangle PQR has angle P = 90°. The side PQ = 9 cm and the hypotenuse QR = 15 cm. Work out the length of PR.
- 2.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 3.A straight line touches the edge of a circle at exactly one point and does not cross into the circle at all. Write down the term for this line.
- 4.Write down the term for the distance all the way around the edge of a circle.
- 5.Write down the number of lines of symmetry a rhombus has.
- 6.For two triangles to be proved congruent using SAS, which two facts must be true about both triangles?
- 7.A cake recipe takes 135 minutes from start to finish. Write this time as hours and minutes.
- 8.A zip-wire is fixed at an angle of 60° to the horizontal ground. The zip-wire is 12 m long. Using the exact value of cos 60°, work out the exact horizontal distance it covers.
- 9.Triangle ABC has a right angle at B. Triangle DEF has a right angle at E. The hypotenuse of triangle ABC equals the hypotenuse of triangle DEF, and side AB equals side DE. Which condition proves that the two triangles are congruent?
- 10.A rectangular notice board measures 150 cm by 80 cm. Work out its area in m².
- 11.A square tile has sides of length 4.5 cm. Work out the perimeter of the tile.
- 12.A diameter divides a circle into two equal halves. Write down the special name given to each of these two halves.
- 13.The diagram shows a solid built from identical cubes. How many squares are in its plan view, the view looking straight down from above?
- 14.In this question, a curved surface counts as a face. How many faces does a cone have?
- 15.A straight fence is 5 m long. Describe the shape of the region made up of every point on the ground within 2 m of any part of the fence.
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