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.A solid has one curved surface and two flat circular faces of equal size, one at each end. What is the name of this solid?
- 2.Every diameter of a circle is an example of a more general type of straight line joining two points on the circle. Which term names that more general type of line?
- 3.A(1, 2), B(5, 2) and C(5, 6) are three of the four vertices of a square ABCD. Work out the coordinates of D.
- 4.A recipe uses 1.25 kg of flour. Work out how many grams of flour this is.
- 5.Work out the exact value of sin 45° × cos 45°.
- 6.A sprinkler waters a sector-shaped patch of a garden with radius 8 m and angle 90°. Work out the perimeter of the watered sector, to 1 decimal place. (Use π = 3.14.)
- 7.Two angles lie on a straight line. One angle is 118°. Which reason correctly explains why the other angle is 62°?
- 8.In a right-angled triangle, θ is one of the acute angles. Write down the trigonometric ratio, in terms of the opposite and adjacent sides, that is used to find θ.
- 9.Write down the number of lines of symmetry a rhombus has.
- 10.Two triangles are similar. The sides of the first triangle are 3 cm, 4 cm and 5 cm. The shortest side of the second triangle is 9 cm. Work out the scale factor from the first triangle to the second.
- 11.Which of these correctly compares a 'line' with a 'line segment'?
- 12.A circle has a radius of 1 cm. Work out the circumference of the circle. Give your answer in terms of π.
- 13.Write down the name given to a triangle whose three sides are all the same length.
- 14.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 15.A solid has 5 faces, 9 edges and 6 vertices. Two of its faces are triangles and the other three are rectangles. Which solid is it?
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