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.Write down the exact value of tan 0°.
(a)0
(b)1
(c)1/√3
(d)√3
2.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
(a)0
(b)2
(c)4
(d)1
3.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
(a)297
(b)117
(c)27
(d)63
4.Two similar triangular tiles have lengths in the ratio 3 : 5. The longest side of the smaller tile is 9 cm. Work out the length of the longest side of the larger tile.
(a)27 cm
(b)45 cm
(c)15 cm
(d)11 cm
5.A rhombus has all four sides equal in length, but it is not a square — its angles are not all 90°. How many lines of symmetry does this rhombus have?
(a)2
(b)1
(c)4
(d)0
6.The point M(3, 8) is translated by the vector $(2 - 5)$ . Write down the coordinates of the image of M.
(a)(−2, 8)
(b)(5, 3)
(c)(−2, 10)
(d)(3, 10)
7.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
8.Lines GH and JK are parallel. A straight line crosses GH at point M and crosses JK at point N. Angle HMN = 71°. Angle HMN and angle MNK are alternate angles. Work out angle MNK.
(a)142°
(b)19°
(c)109°
(d)71°
9.A circle is drawn on a page. Write down how many radii can be drawn in the circle.
(a)Infinitely many
(b)Exactly one
(c)Exactly four
(d)Exactly two
10.Every point on a circle is exactly the same distance from one particular point. Write down the name of that point.
(a)The arc
(b)The chord
(c)The diameter
(d)The centre
11.Triangle ABC has AB = 6 cm, BC = 8 cm and angle B = 90°. Triangle XYZ has XY = 6 cm, YZ = 8 cm and angle Y = 90°. Which congruence statement correctly shows the matching vertices?
(a)ABC ≅ ZXY
(b)ABC ≅ ZYX
(c)ABC ≅ XYZ
(d)ABC ≅ YXZ
12.Work out the exact value of sin 30° + cos 60°.
(a)0
(b)√3
(c)1
(d)1/2
13.A tangent touches a circle with centre O at the point P. Q is a point on the tangent. Write down the circle fact that tells you the size of angle OPQ.
(a)A tangent always passes through the centre of the circle
(b)A tangent is always parallel to the radius it touches
(c)The angle in a semicircle is 90°
(d)The angle between a tangent and a radius is 90°
14.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?
(a)15 km
(b)5 km
(c)8 km
(d)30 km
15.The diagram shows a solid built from identical cubes. How many squares are in its plan view, the view looking straight down from above?
(a)3 squares
(b)5 squares
(c)2 squares
(d)4 squares

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