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.

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Geometry and measures worksheet — GCSE Foundation

Maths · GCSE Foundation · Geometry and measures · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.In triangle ABC and triangle DEF, AB = DE, AC = DF, and the angle at A equals the angle at D. Write down the congruence condition that proves the two triangles are congruent.
(a)SSS
(b)ASA
(c)RHS
(d)SAS
2.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
(a)(5, 7)
(b)(2, 2)
(c)(4, 8)
(d)(6, 10)
3.A rectangular notice board measures 150 cm by 80 cm. Work out its area in m².
(a)120 m²
(b)12 m²
(c)4.6 m²
(d)1.2 m²
4.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
(a)92°
(b)134°
(c)46°
(d)88°
5.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.
(a)No, because the triangles may be different sizes
(b)Yes, by the SSS condition
(c)No, because no side lengths are given
(d)Yes, by the AA condition
6.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
(a)Kite
(b)Rhombus
(c)Trapezium
(d)Parallelogram
7.Shape S is enlarged by a scale factor of 3, centre the origin. A vertex of S is at (2, 1). Work out the coordinates of the image of this vertex.
(a)(6, 1)
(b)(6, 3)
(c)(2, 3)
(d)(5, 4)
8.The bearing of a campsite B from a walker's position A is 070°. What is the bearing of A from B?
(a)250°
(b)160°
(c)180°
(d)110°
9.A circle has a radius of 1 cm. Work out the circumference of the circle. Give your answer in terms of π.
(a)π cm²
(b)4π cm
(c)2π cm
(d)π cm
10.m is the column vector with top number 4 and bottom number 6. n is the column vector with top number −6 and bottom number −9. Given that n = k × m for some number k, work out the value of k.
(a)1.5
(b)−10
(c)−1.5
(d)−24
11.Point C is at (5, 2). It is reflected in the x-axis. Work out the coordinates of the image of point C.
(a)(−5, 2)
(b)(5, −2)
(c)(2, 5)
(d)(−5, −2)
12.A trapezium-shaped allotment plot has two parallel sides that face each other, and two sloping sides that are equal in length (an isosceles trapezium). One of the angles next to the shorter parallel side is 118°. Work out the angle next to the other end of the same shorter parallel side.
(a)180°
(b)59°
(c)62°
(d)118°
13.The point (5, −2) is reflected in the x-axis. Work out the coordinates of the image point.
(a)(5, 2)
(b)(−5, −2)
(c)(−5, 2)
(d)(2, 5)
14.The diagram shows the plan of the base layer of a solid built from identical cubes. A second layer of cubes is added on top, filling the entire base layer to a height of 2 cubes everywhere. Work out how many squares are visible in the plan view of this solid.
(a)4 squares
(b)12 squares
(c)6 squares
(d)5 squares
15.A triangular prism has two triangular faces and three rectangular faces. How many vertices does a triangular prism have?
(a)9
(b)6
(c)8
(d)5

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