Printable · GCSE Foundation · ages 14-16

Number worksheet — GCSE Foundation

Fifteen questions across the number 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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Number worksheet — GCSE Foundation

Maths · GCSE Foundation · Number · Calculator · 15 questions

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1.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
(a)54
(b)126
(c)150
(d)30
2.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
(a)£7.20
(b)£10.05
(c)£0.45
(d)£1.45
3.Work out the value of $2^{3} + 3^{2}$ .
(a)17
(b)72
(c)12
(d)−1
4.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.
(a)£65
(b)£67.50
(c)£60
(d)£70
5.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
(a)0.0485
(b)0.052
(c)0.0479
(d)0.04
6.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
(a)3.84 × 10⁵
(b)3.84 × 10⁶
(c)3.84 × 10⁻⁵
(d)38.4 × 10⁴
7.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
(a)£58.52
(b)£9.20
(c)£8.20
(d)£7.50
8.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
(a)183.75 mph
(b)52.5 mph
(c)72.4 mph
(d)60 mph
9.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
(a)8.35 ≤ L < 8.45
(b)8.4 ≤ L < 8.5
(c)8.3 ≤ L < 8.5
(d)8.35 < L ≤ 8.45
10.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
(a)£600
(b)£400
(c)£561
(d)£570
11.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.
(a)29.4 kg
(b)24 kg
(c)29.1 kg
(d)30 kg
12.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
(a)1/2, 3/5, 2/3, 5/6
(b)5/6, 2/3, 3/5, 1/2
(c)1/2, 3/5, 5/6, 2/3
(d)1/2, 2/3, 3/5, 5/6
13.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
(a)9 hours 35 minutes
(b)7 hours 35 minutes
(c)8 hours 35 minutes
(d)15 hours 25 minutes
14.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
(a)0.02 cm
(b)0.023 cm
(c)0.0238 cm
(d)0.024 cm
15.3.4 × 10⁵ is written as an ordinary number. Work out this number.
(a)3,400,000
(b)34,000
(c)0.000034
(d)340,000

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