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 · Non-calculator · 15 questions

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1.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.
(a)£935, so £900 is not enough
(b)£1,000, so £900 is not enough
(c)£800, so £900 is enough
(d)£950, so £900 is not enough
2.Write 0.25 as a fraction in its simplest form.
(a)1/40
(b)1/25
(c)2/5
(d)1/4
3.Work out how many factors 36 has.
(a)5
(b)10
(c)8
(d)9
4.In the number 3.472, work out the value of the digit 7.
(a)0.007
(b)0.7
(c)0.07
(d)7
5.Work out the highest common factor of 20 and 32.
(a)8
(b)4
(c)2
(d)160
6.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.
(a)6200
(b)5928
(c)6000
(d)600
7.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
(a)36
(b)6
(c)108
(d)216
8.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.
(a)6,300,000
(b)8,000,000
(c)6,390,000
(d)6,000,000
9.Which of these numbers lies between −4 and −1 on a number line?
(a)−5
(b)2
(c)0
(d)−2
10.Last year a company made a profit of £5,200,000. Write this amount in standard form.
(a)5.2 × 10⁵
(b)5.2 × 10⁶
(c)52 × 10⁵
(d)5.2 × 10⁻⁶
11.Find the missing number: 17 × ▢ = 391
(a)23
(b)374
(c)17
(d)6647
12.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
(a)£13.47
(b)£13.48
(c)£13.50
(d)£13.40
13.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
(a)300
(b)307
(c)450
(d)3,000
14.Work out (5 + 2) × 3²
(a)147
(b)63
(c)23
(d)441
15.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108

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