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 rectangular gate is braced with a diagonal strut. The gate is 1.2 m wide and 0.9 m tall. Work out the exact length of the diagonal strut.
(a)2.1 m
(b)0.3 m
(c)2.25 m
(d)1.5 m
2.Write down the number of lines of symmetry a rhombus has.
(a)4
(b)2
(c)0
(d)1
3.Two triangles are congruent to each other. What does this tell you about their angles and sides?
(a)All angles equal, sides may differ
(b)All sides equal, angles may differ
(c)Same area, angles and sides may differ
(d)All angles equal and all sides equal
4.Write down the exact value of cos 60°.
(a)0
(b)1
(c)1/2
(d)1/3
5.Two sides of a triangle are 9 cm and 15 cm long. Write down which one of these lengths is possible for the third side.
(a)24 cm
(b)26 cm
(c)6 cm
(d)10 cm
6.p is the column vector with top number 5 and bottom number 1. q is the column vector with top number −2 and bottom number 3. Work out p − 2q, giving your answer as a column vector in the form (top, bottom).
(a)(9, −5)
(b)(1, 7)
(c)(12, −1)
(d)(7, −2)
7.A shape is translated by the vector $(3 - 8)$ , and one vertex of the image is at the point (1, 6). The original shape is instead translated by the vector $(- 5 2)$ . Work out the coordinates of the image of that same vertex under this second translation.
(a)(7, 8)
(b)(11, 3)
(c)(3, 1)
(d)(11, −2)
8.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.
(a)40°
(b)50°
(c)80°
(d)100°
9.A circle has circumference 31.4 cm. Using π = 3.14, work out the radius of the circle.
(a)2.5 cm
(b)10 cm
(c)5 cm
(d)15.7 cm
10.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)
11.A survey team measures the angle between two fences with a protractor and gets a reading of 254°. What type of angle is this?
(a)Right
(b)Acute
(c)Reflex
(d)Obtuse
12.A designer creates a repeating tile pattern. Each tile is translated from the one before it by the column vector with top number 4.5 and bottom number −2.5 (in centimetres). The first tile has its bottom-left corner at (1.5, 3). Work out the coordinates of the bottom-left corner of the third tile.
(a)(10.5, 8)
(b)(6, 0.5)
(c)(10.5, −2)
(d)(10.5, 3)
13.Two similar ponds have perimeters in the ratio 4 : 11. The perimeter of the larger pond is 88 m. Work out the perimeter of the smaller pond.
(a)32 m
(b)242 m
(c)84 m
(d)121 m
14.Two similar flags have widths in the ratio 2 : 5. The width of the smaller flag is 8 cm. Work out the width of the larger flag.
(a)20 cm
(b)11 cm
(c)40 cm
(d)3.2 cm
15.Triangle ABC has a right angle at B. Triangle DEF has a right angle at E. The hypotenuse of triangle ABC equals the hypotenuse of triangle DEF, and side AB equals side DE. Which condition proves that the two triangles are congruent?
(a)ASA
(b)SAS
(c)SSS
(d)RHS

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