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.In triangle PQR and triangle STU, PQ = ST, QR = TU and PR = SU. Write down the congruence condition that proves the two triangles are congruent.
- 2.The diagram shows a solid resting on its side on a table. Work out which shape is its plan view, the view looking straight down from above.
- 3.Two straight lines PQ and RS cross at point O. Angle POR = 52°. Work out angle QOS.
- 4.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 5.In a right-angled triangle, θ is one of the acute angles. Write down the trigonometric ratio, in terms of the opposite and adjacent sides, that is used to find θ.
- 6.A rectangle has vertices at (2, 1), (9, 1), (9, 5) and (2, 5). Work out the area of the rectangle.
- 7.The bearing of a harbour B from a ferry's position A is 260°. What is the bearing of A from B?
- 8.A footpath is 3750 m long. Work out this distance in kilometres.
- 9.A triangular bunting flag has two equal sides. The angle between those two equal sides is 80°, and the other two angles of the flag are equal to each other. Work out the size of each of the two equal angles.
- 10.A locus is described as the set of points exactly 4 cm from a fixed point O. What shape is this locus?
- 11.A cylinder has a volume of 942 cm³ and a height of 12 cm. Using π = 3.14, work out the radius of the cylinder.
- 12.u is the column vector with top number 7 and bottom number 3. v is the column vector with top number 2 and bottom number 5. Work out u − v, giving your answer as a column vector in the form (top, bottom).
- 13.In triangle ABC and triangle DEF, the angle at A and the angle at D are both 40°, and the angle at B and the angle at E are both 70°. No side lengths are given. Write down whether the two triangles must be similar, with the reason.
- 14.The point (5, −2) is reflected in the x-axis. Work out the coordinates of the image point.
- 15.A circular pizza base has a radius of 12 cm. Work out the area of the pizza base. Use π = 3.14.
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