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 · 15 questions

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1.Rectangle ABCD has vertices A(−1, 2), B(4, 2), C(4, 5) and D(−1, 5). The rectangle is translated so that C moves to (0, −1). Write down the coordinates of the image of A.
(a)(3, 8)
(b)(−5, 8)
(c)(0, −1)
(d)(−5, −4)
2.The perimeter of a square is 20 cm. Work out the area of the square.
(a)5 cm
(b)25 cm²
(c)100 cm²
(d)400 cm²
3.A chord divides a circle into two segments of different sizes. Write down the name given to the smaller of the two segments.
(a)Major segment
(b)Minor segment
(c)Semicircle
(d)Minor arc
4.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)
5.Two circles are drawn with the same centre but different radii. Write down the term used to describe this pair of circles.
(a)Congruent circles
(b)Tangential circles
(c)Similar circles
(d)Concentric circles
6.A trapezium has parallel sides of 5.6 cm and 8.4 cm, and a perpendicular height of 4 cm. Work out the area of the trapezium.
(a)33.6 cm²
(b)28 cm²
(c)5.6 cm²
(d)56 cm²
7.Two similar shapes have lengths in the ratio 1 : 3. A side of the smaller shape is 4 cm long. Work out the length of the corresponding side of the larger shape.
(a)36 cm
(b)12 cm
(c)7 cm
(d)4 cm
8.A train leaves Leeds at 08:47 and arrives in London at 11:05. Work out how long the journey takes.
(a)3 h 18 min
(b)2 h 42 min
(c)2 h 58 min
(d)2 h 18 min
9.A circular pizza base has a radius of 12 cm. Work out the area of the pizza base. Use π = 3.14.
(a)37.68 cm²
(b)1808.64 cm²
(c)150.72 cm²
(d)452.16 cm²
10.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
(a)Kite
(b)Rhombus
(c)Trapezium
(d)Parallelogram
11.A cheese counter sells cheddar at £8.40 per kilogram. Work out the cost of a 350 g piece of cheddar.
(a)£24.00
(b)£2.94
(c)£29.40
(d)£2940.00
12.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
13.Triangle T has a vertex at (8, 4). It is enlarged by a scale factor of 1/2, centre (2, 4). Work out the coordinates of the image of this vertex.
(a)(5, 4)
(b)(14, 4)
(c)(8, 2)
(d)(4, 2)
14.Point D is at (3, 7). It is reflected in the line y = x. Work out the coordinates of the image of point D.
y = x
(a)(−7, −3)
(b)(7, 3)
(c)(−3, 7)
(d)(3, −7)
15.A tank holds 3.2 m³ of water. Work out this volume in litres.
(a)320
(b)32000
(c)3200
(d)3.2

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