Printable · GCSE Higher · ages 14-16

Number worksheet — GCSE Higher

Fifteen questions across the number statements at Higher 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 Higher

Maths · GCSE Higher · Number · 15 questions

MathsUKwww.geekhero.co.uk

1.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
(a)1725 ml
(b)50 ml
(c)2550 ml
(d)1050 ml
2.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
(a)14.5 < l < 15.5
(b)14.5 ≤ l < 15.5
(c)14 ≤ l < 16
(d)14.5 ≤ l ≤ 15.5
3.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
(a)−0.6, −0.15, −0.09, 0.45, 0.5
(b)0.5, 0.45, −0.6, −0.15, −0.09
(c)0.5, 0.45, −0.09, −0.15, −0.6
(d)0.5, 0.45, −0.15, −0.09, −0.6
4.2/3 of an amount of money is £30. Work out the amount.
(a)£15
(b)£45
(c)£20
(d)£90
5.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
(a)9/8
(b)2/3
(c)2
(d)1/2
6.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
(a)300 N/m²
(b)3000 N/m²
(c)192 N/m²
(d)30 N/m²
7.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
(a)144√2
(b)24√2
(c)6√2
(d)12√2
8.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
9.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
(a)27/20
(b)17/50
(c)27/5
(d)27/80
10.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
(a)55
(b)54
(c)59
(d)54.7
11.Work out (5 + 2) × 3²
(a)147
(b)63
(c)23
(d)441
12.Work out 3.7 × 24.
(a)8.88
(b)88.8
(c)888
(d)87.8
13.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
14.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
(a)4.7
(b)5.0
(c)4.6
(d)4.5
15.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6

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