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.

Calculator

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Geometry and measures worksheet — GCSE Foundation

Maths · GCSE Foundation · Geometry and measures · Calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.A plan of a car park is drawn to a scale of 1 : 500. A parking bay is drawn as a rectangle measuring 1.2 cm by 0.6 cm. The real width of the bay corresponds to the 0.6 cm side. What is the real width of the bay, in metres?
(a)0.3
(b)3
(c)6
(d)30
2.A solid metal sphere has a radius of 5 cm. It is melted down and recast into a solid cylinder with the same radius, 5 cm. Work out the height of the cylinder, so that its volume equals the volume of the sphere. Use π = 3.14 and give your answer correct to 1 decimal place.
(a)1.7 cm
(b)20.0 cm
(c)5.0 cm
(d)6.7 cm
3.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
4.A sector of a circle has radius 6 cm and angle 60°. Work out the arc length of the sector, in terms of π.
(a)12π cm
(b)6π cm
(c)π cm
(d)2π cm
5.A tap fills a tank at a rate of 18 litres per minute. The tank holds 0.45 m³. Work out how long the tap takes to fill the tank.
(a)8100 minutes
(b)25 minutes
(c)2.5 minutes
(d)25 000 minutes
6.Sam says: '3.2 litres is the same as 320 ml, because you multiply by 100.' Which statement about Sam's claim is correct?
(a)Wrong: 1 litre = 100 ml, so his number is off.
(b)Wrong: 1 litre = 1000 ml, so 3.2 l = 3200 ml.
(c)Wrong, but only because 3.2 should round to 3.
(d)Correct: ×100 converts litres to millilitres.
7.A sector of a circle has an angle of 90° and an area of 78.5 cm². Using π = 3.14, work out the radius of the circle.
(a)10 cm
(b)20 cm
(c)100 cm
(d)5 cm
8.A sector has an angle of 45°. Priti says: 'The area of the sector is one eighth of the area of the full circle, whatever the radius is.' Is Priti correct?
(a)No, because 45 ÷ 360 = 1/6, not 1/8.
(b)Yes, but only because the radius happens to make 45° exactly one eighth of a full turn in this particular circle.
(c)No, because the fraction of the area also depends on the radius, so it is not fixed.
(d)Yes, because 45 ÷ 360 = 1/8, and this fraction applies to any radius.
9.A church tower is due east of a village. What is the three-figure bearing of the church tower from the village?
(a)180
(b)270
(c)090
(d)009
10.A photograph is 10 cm wide and 15 cm tall. It is enlarged to make a similar poster that is 40 cm wide. The poster costs £0.80 per centimetre of its height to print, based on its full height. Work out the cost of printing the poster.
(a)£3
(b)£15.20
(c)£12
(d)£48
11.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°
12.A parallelogram has an area of 54 cm² and a base of 9 cm. Work out its perpendicular height.
(a)12 cm
(b)486 cm
(c)6 cm
(d)45 cm
13.A parallelogram has an area of 84 cm² and a base of 12 cm. Work out the perpendicular height of the parallelogram.
(a)0.14 cm
(b)1008 cm
(c)3.5 cm
(d)7 cm
14.A surveyor is marking out field ABCD for a new crop. The plan states that side AB is parallel to side DC, but AB and DC are not equal in length, and sides BC and AD are not parallel to each other. Which term correctly describes the shape of field ABCD?
(a)kite
(b)trapezium
(c)rhombus
(d)parallelogram
15.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

Build your own mix at the worksheet builder.