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
MathsUKwww.geekhero.co.uk
- 1.The diagram shows a prism resting on a table. Which shape is its front elevation, the view looking at it from directly in front?
- 2.Put sin 30°, tan 30° and cos 30° in order of size, starting with the smallest.
- 3.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.
- 4.A solid is a single cube. Its plan view (from above), front elevation (from the front) and side elevation (from the side) are drawn separately. What shape is each of these three views?
- 5.Work out the exact value of cos 0° − sin 30°.
- 6.A right-angled triangle has angles of 90°, 40° and x°. Work out the value of x.
- 7.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 8.A plumber charges a £45 call-out fee, plus £28 for each hour worked. She works on a job for 3 hours 30 minutes, and her hours are billed by rounding up to the next whole hour. Work out the total amount she charges.
- 9.A right-angled triangle has its two shorter sides equal to 8 cm and 15 cm. Work out the value of cos θ, where θ is the angle opposite the 8 cm side. Give your answer as a fraction.
- 10.A shopkeeper builds a display from two cuboid boxes, shown in the diagram. She wants to cover the front of the display with coloured paper. Work out the total area of the front elevation, in square centimetres.
- 11.The diagram shows the plan, front elevation and side elevation of a solid. Which of these solids matches all three views?
- 12.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
- 13.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 14.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 15.Two straight lines PQ and RS cross at point O. Angle POR = 52°. Work out angle QOS.
Build your own mix at the worksheet builder.