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 concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
(a)36 kg
(b)60 kg
(c)12 kg
(d)57.6 kg
2.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.
(a)18.5 ≤ T ≤ 18.7
(b)18.5 ≤ T < 18.7
(c)18.4 ≤ T < 18.8
(d)18.6 ≤ T < 18.8
3.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?
(a)They cannot both be describing the same path
(b)Jon's measurement must be wrong
(c)Mia's measurement must be wrong
(d)They must both be describing the same path
4.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
(a)8.35 ≤ L < 8.45
(b)8.4 ≤ L < 8.5
(c)8.3 ≤ L < 8.5
(d)8.35 < L ≤ 8.45
5.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.
(a)£114.75
(b)£81.60
(c)£196.35
(d)£122.91
6.Last year a company made a profit of £5,200,000. Write this amount in standard form.
(a)5.2 × 10⁵
(b)5.2 × 10⁶
(c)52 × 10⁵
(d)5.2 × 10⁻⁶
7.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
8.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
(a)8/5
(b)5/3
(c)3/8
(d)3/5
9.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
10.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?
(a)3/5
(b)9/10
(c)2/5
(d)3/4
11.Simplify √8 + √18, giving your answer in the form k√2.
(a)5√2
(b)√26
(c)7√2
(d)11√2
12.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
(a)14 and 15
(b)4 and 5
(c)3 and 4
(d)5 and 6
13.Work out how many factors 36 has.
(a)5
(b)10
(c)8
(d)9
14.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.
(a)62 ≤ r < 63
(b)62.35 ≤ r ≤ 62.45
(c)62.35 ≤ r < 62.45
(d)62.3 ≤ r < 62.5
15.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
(a)9 hours 35 minutes
(b)7 hours 35 minutes
(c)8 hours 35 minutes
(d)15 hours 25 minutes

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