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 bearing is described as being exactly halfway between north and east, measured clockwise. What is the three-figure bearing?
- 2.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 3.A triangular flag has a base of 40 cm and a perpendicular height of 25 cm. Work out its area.
- 4.Triangle ABC has AB = 9 cm, BC = 6 cm and angle A = 35°. Triangle DEF has DE = 9 cm, EF = 6 cm and angle D = 35°. Which of the following correctly identifies the condition shown here?
- 5.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
- 6.Triangle XYZ has angle X = 90°. Angle Y = 34°. Work out angle Z.
- 7.A triangle has vertices X, Y and Z, with a right angle at Y. Side XY is twice as long as side YZ. Which of the following correctly describes this triangle?
- 8.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
- 9.The diagram shows the plan, front elevation and side elevation of a solid. Which of these solids matches all three views?
- 10.Lines AB and CD are parallel. A straight line EF crosses AB at point P and crosses CD at point Q. At P, angle APE = 65°. Angle APE and angle BPQ are vertically opposite. Angle BPQ and angle PQD are co-interior (allied) angles. Work out angle PQD.
- 11.In triangle XYZ, the side opposite vertex X is labelled using the standard lowercase-letter convention. Which label is correct?
- 12.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 13.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?
- 14.Which of the following correctly describes what it means for two lines to be perpendicular?
- 15.In quadrilateral ABCD the two sides AB and BC are each 6 cm long and meet each other at B. The two sides CD and DA are each 9 cm long and meet each other at D. No side of ABCD is parallel to any other side. Write down the mathematical name of this quadrilateral.
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