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.Simplify x⁶ ÷ x²
(a)x¹²
(b)x³
(c)x⁸
(d)x⁴
2.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
3.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
4.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.
(a)1 hour 54 minutes
(b)30 minutes
(c)1 hour
(d)2 hours
5.Work out −6 × (−3).
(a)−18
(b)18
(c)−9
(d)9
6.Round 4,685 to the nearest 100.
(a)5,000
(b)4,700
(c)4,600
(d)4,690
7.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².
(a)49
(b)14
(c)9
(d)77
8.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
(a)900 kg/m³
(b)0.0009 kg/m³
(c)0.09 kg/m³
(d)900 000 kg/m³
9.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.
(a)240 ≤ m < 250
(b)245 ≤ m < 255
(c)245 < m ≤ 255
(d)240 ≤ m < 260
10.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.
(a)2
(b)4
(c)3
(d)1
11.Write 0.25 as a fraction in its simplest form.
(a)1/40
(b)1/25
(c)2/5
(d)1/4
12.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
(a)£6.66
(b)£8
(c)£7.60
(d)£7.40
13.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
(a)5
(b)20/9
(c)5/3
(d)2
14.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
15.Write 0.875 as a fraction in its simplest form.
(a)7/8
(b)7/80
(c)9/10
(d)8/7

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