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.For two triangles to be proved congruent using SAS, which two facts must be true about both triangles?
- 2.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 3.A sector of a circle has radius 10 cm and angle 72°. Using π = 3.14, work out the arc length of the sector.
- 4.Triangle DEF has a right angle at E. Angle DFE = 60° and EF = 9 cm. Work out the exact length of DE.
- 5.A sector of a circle has radius 5 cm and angle 72°. Work out the arc length of the sector, in terms of π.
- 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.Point A is at (2, 3). It is translated by the vector (4, −1) to give point A′. Work out the coordinates of A′.
- 8.Triangle ABC has AB = 10 cm, BC = 7 cm and angle A = 40°. Triangle DEF has DE = 10 cm, EF = 7 cm and angle D = 40°. Sam says the two triangles are congruent by SAS. Which statement about Sam's claim is correct?
- 9.Two of the angles in a triangle are 50° and 70°. Work out the size of the third angle.
- 10.A tank holds 3.2 m³ of water. Work out this volume in litres.
- 11.A parallelogram has a base of 9 cm and a perpendicular height of 6 cm. Work out the area of the parallelogram.
- 12.The diagram shows a prism resting on a table. Which shape is its front elevation, the view looking at it from directly in front?
- 13.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
- 14.The sum of the interior angles of a polygon is 1980°. Work out the number of sides of the polygon.
- 15.Work out the exact value of sin 45° × cos 45°.
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