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.Work out the lowest common multiple of 4 and 6.
(a)12
(b)2
(c)6
(d)24
2.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21
3.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
4.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2
(a)−8, −3, 2, 0, 5
(b)−3, −8, 0, 2, 5
(c)5, 2, 0, −3, −8
(d)−8, −3, 0, 2, 5
5.Write 0.45 as a fraction in its simplest form.
(a)9/20
(b)9/2
(c)9/100
(d)9/200
6.Which one of these statements about negative numbers is true?
(a)−3 > 0
(b)0 > −1
(c)0 < −1
(d)−5 > −3
7.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
(a)3/5
(b)3/8
(c)5/3
(d)5/8
8.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
(a)18 minutes
(b)54 minutes
(c)3 minutes
(d)15 minutes
9.Work out 8% of £250.
(a)£25
(b)£2
(c)£200
(d)£20
10.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
(a)2.5 m
(b)4 m
(c)1.5 m
(d)2.4 m
11.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
12.Write 0.325 as a fraction in its simplest form.
(a)13/40
(b)3/8
(c)8/25
(d)13/4
13.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
14.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.
(a)5 : 3
(b)3 : 8
(c)3 : 5
(d)8 : 3
15.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
(a)4,000 nanometres
(b)4 nanometres
(c)400 nanometres
(d)0.004 nanometres

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