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.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
2.Write down the symbol that makes this statement true: −9 ___ −4
(a)≥
(b)>
(c)<
(d)=
3.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
(a)56
(b)21
(c)35
(d)28
4.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?
(a)3/4
(b)3/7
(c)7/3
(d)4/7
5.Write down the symbol that makes this statement true: 0.45 ___ 0.5
(a)>
(b)=
(c)<
(d)≥
6.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
(a)1 × 10³
(b)0.1 × 10⁻²
(c)1 × 10⁻⁴
(d)1 × 10⁻³
7.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.
(a)£160
(b)£220
(c)£213.25
(d)£200
8.Work out (3 × 5)²
(a)225
(b)30
(c)75
(d)34
9.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.
(a)700
(b)500
(c)600
(d)604
10.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.
(a)11.5 ≤ L < 12.5
(b)11.5 < L < 12.5
(c)11 ≤ L < 13
(d)11.5 ≤ L ≤ 12.5
11.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
(a)−3
(b)4
(c)3
(d)2
12.Work out 15% of £40, using 10% and 5%.
(a)£6
(b)£4
(c)£600
(d)£2
13.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
(a)6
(b)72
(c)60
(d)12
14.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
(a)£2.78
(b)£2.60
(c)20p
(d)2p
15.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35
(a)0.35, 3/8, 0.4
(b)3/8, 0.35, 0.4
(c)0.4, 3/8, 0.35
(d)0.35, 0.4, 3/8

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