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 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
2.Work out ⁴√81
(a)3
(b)20.25
(c)4.5
(d)9
3.Work out −4.5 + 2.8.
(a)1.7
(b)−7.3
(c)−2.3
(d)−1.7
4.Work out the highest common factor of 20 and 32.
(a)8
(b)4
(c)2
(d)160
5.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
(a)7 × 10⁻⁴
(b)7 × 10⁻⁶
(c)7 × 10⁻⁸
(d)7 × 10⁻⁵
6.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
(a)−6/5, −1.4, 0, 5/4, 1.3
(b)−1.4, −6/5, 0, 1.3, 5/4
(c)1.3, 5/4, 0, −6/5, −1.4
(d)−1.4, −6/5, 0, 5/4, 1.3
7.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
(a)£12.75
(b)£8.25
(c)£7.25
(d)£7.75
8.Work out 1/2 of 1/4 of 80.
(a)20
(b)10
(c)60
(d)40
9.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
(a)8,350
(b)8,450
(c)8,390
(d)8,300
10.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
(a)1 × 10³
(b)2.5 × 10⁻⁶
(c)2.5 × 10⁶
(d)2.5 × 10²
11.Simplify x⁶ ÷ x²
(a)x¹²
(b)x³
(c)x⁸
(d)x⁴
12.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
(a)7/20, 32%, 0.3
(b)0.3, 32%, 7/20
(c)0.3, 7/20, 32%
(d)32%, 0.3, 7/20
13.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
14.Work out the value of $2^{3} + 3^{2}$ .
(a)17
(b)72
(c)12
(d)−1
15.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?
(a)the third mark after 0
(b)the second mark after 0
(c)the fourth mark after 0
(d)the first mark after 0

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