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.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 2.A trapezium has parallel sides of length 6 cm and 10 cm, and a perpendicular height of 4 cm. Work out its area.
- 3.Point A is at (5, 2). It is translated by the vector (−3, 4) to give point A′. Work out the coordinates of A′.
- 4.A rhombus has all four sides equal in length. Which statement about a rhombus is correct?
- 5.A rectangular gate is braced with a diagonal strut. The gate is 1.2 m wide and 0.9 m tall. Work out the exact length of the diagonal strut.
- 6.A garden plan is drawn to a scale of 1 cm : 1.8 m. A path on the plan measures 4.5 cm. What is the real length of the path, in metres, to 1 decimal place?
- 7.Write down the number of lines of symmetry a rhombus has.
- 8.An angle measures 108°. Write down the name given to an angle of this size.
- 9.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
- 10.A parallelogram has an area of 136 cm² and a base of 17 cm. Work out the perpendicular height of the parallelogram.
- 11.Two straight lines AB and CD cross at point O. Angle AOC = 74°. Work out angle AOD.
- 12.A hexagon has interior angles of 130°, 142°, 125°, 150°, 135° and x°. Work out the value of x.
- 13.A sector of a circle is bounded by two straight edges and one curved edge. Write down the mathematical term for each of the two straight edges.
- 14.A tank holds 3.2 m³ of water. Work out this volume in litres.
- 15.Write down the exact value of cos 60°.
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