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.Two straight lines AB and CD cross at point O. Angle AOC = 74°. Work out angle AOD.
- 2.Triangle ABC is isosceles, with AB = AC. Angle B = 70°. Which reason correctly explains why angle C = 70°?
- 3.A parallelogram has a base of 9 cm and a perpendicular height of 4 cm. Work out its area.
- 4.A cube has all of its edges the same length. How many planes of symmetry does it have?
- 5.What does the statement AB = CD mean, where A, B, C and D are all points?
- 6.A ship's radar can detect other ships up to 20 km away, over a sector-shaped area with angle 90°. A monitoring company charges £0.50 per square kilometre covered by one radar sweep. Using π = 3.14, work out the total charge for one sweep.
- 7.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
- 8.a is the column vector with top number 3 and bottom number −2. b is the column vector with top number −1 and bottom number 5. Work out 2a + b, giving your answer as a column vector in the form (top, bottom).
- 9.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 10.In triangle ABC, angle ABC = 90° and angle BAC = 30°. The hypotenuse AC = 12 cm. Work out the exact length of AB.
- 11.In triangle ABC and triangle DEF, AB = DE, angle ABC = angle DEF and BC = EF. Write down the congruence condition that proves the two triangles are congruent.
- 12.Triangle ABC is drawn. The interior angle bisectors from vertices A and B are constructed and meet at point I inside the triangle. Which statement about point I must be true?
- 13.The diagram shows a solid made from two cuboids joined together. Which shape is the front elevation of this solid?
- 14.In kite WXYZ, WX = WZ and XY = ZY (so at each of X and Z, one side from each of the two unequal pairs meets). Angle X = 100°. Work out angle Z.
- 15.Two straight lines PQ and RS cross at point O. Angle POR = 52°. Work out angle QOS.
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