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.A triangular prism has two triangular end faces and three rectangular faces joining them. How many faces does it have in total?
(a)5
(b)6
(c)3
(d)9
2.A parallelogram has a base of 9 cm and a perpendicular height of 4 cm. Work out its area.
(a)72 cm²
(b)18 cm²
(c)36 cm²
(d)26 cm²
3.A solid has 5 faces, 9 edges and 6 vertices. Two of its faces are triangles and the other three are rectangles. Which solid is it?
(a)Triangular prism
(b)Tetrahedron
(c)Cuboid
(d)Square-based pyramid
4.A vertical line passes through the point (5, 2). Write down the equation of this line.
(a)x = 2
(b)x = 5
(c)y = 2
(d)y = 5
5.Two straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
(a)They are always equal to 90° each
(b)They always add up to 360°
(c)They always add up to 180°
(d)They are always equal to each other
6.Write down the exact value of tan 0°.
(a)0
(b)1
(c)1/√3
(d)√3
7.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
8.A circle has a diameter of 4 cm. Work out the radius of the circle.
(a)8 cm
(b)2 cm
(c)1 cm
(d)0.5 cm
9.The diagram shows the plan, front elevation and side elevation of a solid. Which of these solids matches all three views?
(a)A triangle-based pyramid standing on its triangular base
(b)A triangular prism standing on its triangular end
(c)A cuboid standing on a rectangular face
(d)A triangular prism lying on one of its rectangular faces
10.The cross-section of a tent is an isosceles triangle. The angle at the top, between the two equal sloping sides, is 62°. The other two angles are equal to each other. Work out the size of each of those two angles.
(a)59°
(b)118°
(c)62°
(d)31°
11.A cube has all of its edges the same length. How many planes of symmetry does it have?
(a)9
(b)6
(c)12
(d)3
12.p is the column vector with top number 2 and bottom number 3. q is the column vector with top number −1 and bottom number 4. Work out 2p + q, giving your answer as a column vector in the form (top, bottom).
(a)(5, 2)
(b)(3, 10)
(c)(0, 11)
(d)(1, 7)
13.A scale drawing of a park uses a scale of 1 : 2000. A path is drawn 8.5 cm long on the drawing. A cyclist rides the length of the path and then rides straight back again along the same path. How far does the cyclist travel in total, in metres?
(a)85
(b)340
(c)170
(d)680
14.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.
(a)SAS
(b)ASA
(c)RHS
(d)SSS
15.Triangle ABC has AB = 5 cm and BC = 7 cm. Triangle DEF has DE = 5 cm and EF = 7 cm. Which extra fact would prove the triangles are congruent by SAS?
(a)angle C = angle F
(b)angle B = angle E
(c)AC = DF
(d)angle A = angle D

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