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.Loose sweets are sold at £1.20 per 100 g. Work out the cost of 350 g of sweets.
- 2.A train leaves Leeds at 08:47 and arrives in London at 11:05. Work out how long the journey takes.
- 3.Two straight lines AB and CD cross at point O. Angle AOC = 74°. Work out angle AOD.
- 4.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 5.Triangle PQR has angle P = 90°. The side PQ = 9 cm and the hypotenuse QR = 15 cm. Work out the length of PR.
- 6.Triangle DEF is isosceles, with DE = DF. Angle E = 58°. Work out angle F.
- 7.Two similar triangles have lengths in the ratio 2 : 5. The sides of the smaller triangle are 4 cm, 6 cm and 8 cm. Work out the length of the longest side of the larger triangle.
- 8.A map has a scale of 1 cm : 5 km. A road is drawn 3 cm long on the map. What is the real length of the road?
- 9.How many vertices does a cuboid have?
- 10.Triangle ABC has AB = 5 cm, BC = 7 cm and CA = 9 cm. Triangle DEF has DE = 5 cm, EF = 7 cm and FD = 9 cm. Which condition proves the two triangles are congruent?
- 11.A right-angled triangle has two sides of length 5 cm and 12 cm, and the angle between those two sides is 90°. Work out the length of the hypotenuse.
- 12.A trapezium has parallel sides of 5 cm and 11 cm, and a perpendicular height of 4 cm. Work out the area of the trapezium.
- 13.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
- 14.A rhombus has all four sides equal in length. Which statement about a rhombus is correct?
- 15.A sector of a circle has radius 10 cm and angle 72°. Using π = 3.14, work out the arc length of the sector.
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