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.A vertical line passes through the point (5, 2). Write down the equation of this line.
- 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.A rhombus has all four sides equal in length, but it is not a square — its angles are not all 90°. How many lines of symmetry does this rhombus have?
- 4.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 5.An angle is measured with a protractor as 47°. What type of angle is this?
- 6.The column vector describes a translation. Write down the movement it represents.
- 7.A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the length of the other shorter side.
- 8.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
- 9.Write down how many right angles a rectangle has.
- 10.A circular coaster has a radius of 4 cm. Work out the circumference of the coaster. Give your answer in terms of π.
- 11.Three angles meet at a single point on one side of a straight line. Two of the angles are 48° and 65°. Work out the third angle.
- 12.An isosceles trapezium has exactly one pair of parallel sides, and its two non-parallel sides are equal in length. How many lines of symmetry does it have?
- 13.A solid has 4 triangular faces, 4 vertices and 6 edges. What is the name of this solid?
- 14.Which of these correctly compares a 'line' with a 'line segment'?
- 15.A square-based pyramid has a square base and four identical triangular sloping faces, with its apex directly above the centre of the base. How many planes of symmetry does it have?
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