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.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
(a)25
(b)9
(c)20
(d)10
2.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
(a)42.5 ≤ t < 47.5
(b)40 ≤ t < 50
(c)42.5 ≤ t ≤ 47.5
(d)44.5 ≤ t < 45.5
3.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
(a)28.8 km/h
(b)0.48 km/h
(c)2.22 km/h
(d)28 800 km/h
4.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.
(a)7.1 kg
(b)2.645 kg
(c)3.05 kg
(d)452.6 kg
5.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.
(a)3.6 ≤ n < 3.8
(b)3.65 ≤ n < 3.75
(c)3.65 < n < 3.75
(d)3.65 ≤ n ≤ 3.75
6.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.
(a)33.5 mph
(b)33 mph
(c)34.5 mph
(d)34 mph
7.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
(a)£340.00
(b)£326.40
(c)£384.00
(d)£64.00
8.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
9.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
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 machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.
(a)No — the actual mass is exactly 1,000 g
(b)Yes — the actual mass could be as low as 995 g
(c)Yes — the actual mass could be as low as 990 g
(d)No — the actual mass is at least 999.5 g
12.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
(a)1.4 ≤ m < 1.6
(b)1.45 ≤ m < 1.55
(c)1.45 < m ≤ 1.55
(d)1.45 ≤ m ≤ 1.55
13.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
(a)7/20, 32%, 0.3
(b)0.3, 32%, 7/20
(c)0.3, 7/20, 32%
(d)32%, 0.3, 7/20
14.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
(a)1500 km/h
(b)90 km/h
(c)90000 km/h
(d)6.9 km/h
15.Write 45,000 in standard form.
(a)4.5 × 10⁴
(b)45 × 10³
(c)4.5 × 10⁵
(d)4.5 × 10³

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