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.Write 0.0038 in standard form.
(a)3.8 × 10⁻³
(b)38 × 10⁻⁴
(c)3.8 × 10⁻⁴
(d)3.8 × 10³
2.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
3.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.
(a)6,000
(b)60
(c)50
(d)600
4.Which one of these statements about negative numbers is true?
(a)−3 > 0
(b)0 > −1
(c)0 < −1
(d)−5 > −3
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.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
(a)1/16
(b)1/8
(c)15/16
(d)3/16
7.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
(a)600
(b)750,000,000
(c)7,500,000,000
(d)0.000000075
8.Work out √144 − 2 × 3 + √25
(a)35
(b)11
(c)1
(d)7
9.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
10.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
(a)4 3/8
(b)3 13/15
(c)4 1/5
(d)4 13/15
11.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
(a)30
(b)15
(c)60
(d)10
12.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
(a)8
(b)128
(c)2
(d)12
13.Work out the value of 5³.
(a)8
(b)53
(c)125
(d)15
14.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
(a)9
(b)3
(c)27
(d)6
15.Write 0.25 as a fraction in its simplest form.
(a)1/40
(b)1/25
(c)2/5
(d)1/4

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