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.Write down the exact value of sin 45°.
- 2.In quadrilateral ABCD, side AB is parallel to side DC. Which statement correctly uses geometric notation to show this?
- 3.A rectangular bookmark measures 2 cm by 25 cm. Work out the area of the bookmark.
- 4.How many vertices does a square-based pyramid have?
- 5.A builder props a straight plank against a vertical wall to reach a window ledge. The foot of the plank is 2.1 m from the base of the wall, and the plank is 3.5 m long. Work out how high up the wall the plank reaches.
- 6.Two angles are complementary. One of them is 35°. Work out the size of the other angle.
- 7.Which of the following is NOT one of the four basic conditions used to prove two triangles are congruent?
- 8.A church tower is due east of a village. What is the three-figure bearing of the church tower from the village?
- 9.A parallelogram has an area of 54 cm² and a base of 9 cm. Work out its perpendicular height.
- 10.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?
- 11.For two triangles to be proved congruent using SAS, which two facts must be true about both triangles?
- 12.ABCD is an isosceles trapezium. The sides AB and DC are parallel, and the two sloping sides AD and BC are equal in length. Angle D is 112°. Work out the size of angle B.
- 13.A submarine travels due south. What is the three-figure bearing for this direction?
- 14.A tent is shaped like a triangular prism: two triangular end faces and three rectangular faces. One of the rectangular faces lies flat on the ground as the groundsheet. How many of the tent's faces are above the ground, not touching the ground?
- 15.Point A has coordinates (2, 5). Point A is translated to point B using the column vector with top number 6 and bottom number −3. Write down the coordinates of point B.
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