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.Write down which one of these statements about quadrilaterals is true.
- 2.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 3.A regular polygon has 5 lines of symmetry. What is the order of rotational symmetry of this polygon?
- 4.The angle between north and a cycle path is 40°, but it is measured anticlockwise from north. What is the three-figure bearing of the cycle path?
- 5.Two similar triangular tiles have lengths in the ratio 3 : 5. The longest side of the smaller tile is 9 cm. Work out the length of the longest side of the larger tile.
- 6.A submarine travels due south. What is the three-figure bearing for this direction?
- 7.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 8.An angle is measured with a protractor as 47°. What type of angle is this?
- 9.A vertical line passes through the point (5, 2). Write down the equation of this line.
- 10.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 11.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?
- 12.Work out the distance between the point (0, 0) and the point (5, 12).
- 13.Triangle PQR has vertices P(0, 0), Q(6, 0) and R(0, 8). Work out the perimeter of the triangle.
- 14.Quadrilateral PQRS has angle P = 92°, angle Q = 84° and angle R = 106°. Work out the size of angle S.
- 15.A rectangle has vertices A(0, 0), B(6, 0), C(6, 4) and D(0, 4). Work out the length of the diagonal AC. Give your answer correct to 2 decimal places.
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