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 · 15 questions

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1.Round 0.006482 to 2 significant figures.
(a)0.01
(b)0.00648
(c)0.0065
(d)0.006
2.Write 0.06 as a fraction in its simplest form.
(a)3/5
(b)3/50
(c)1/6
(d)3/500
3.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.
(a)No — 493 kg is only an estimate, so it may be over 500 kg
(b)Cannot be decided without the exact total
(c)Yes — the greatest possible total is 493.5 kg, under 500 kg
(d)No — the true total could be as high as 498 kg
4.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.
(a)3/5
(b)3/10
(c)1/10
(d)1/5
5.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
(a)5/9
(b)3/5
(c)1/3
(d)4/15
6.Write 0.45 as a fraction in its simplest form.
(a)9/20
(b)9/2
(c)9/100
(d)9/200
7.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
(a)1/2
(b)43/30
(c)18/25
(d)25/36
8.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.
(a)13 °C
(b)5 °C
(c)−1 °C
(d)8 °C
9.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?
(a)23,499
(b)22,500
(c)23,000
(d)23,600
10.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.
(a)8
(b)12
(c)6
(d)2
11.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
12.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
(a)0.11 g/cm³
(b)9 g/cm³
(c)480 g/cm³
(d)32400 g/cm³
13.Work out the value of 6² − 4³.
(a)100
(b)28
(c)−28
(d)0
14.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.
(a)4
(b)5
(c)100
(d)16
15.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.
(a)800 m²
(b)70 m²
(c)1,000 m²
(d)140 m²

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