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 · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21
2.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
3.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108
4.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
5.Work out 3.7 × 24.
(a)8.88
(b)88.8
(c)888
(d)87.8
6.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
(a)240
(b)12
(c)8
(d)15
7.Expand and simplify √3(2 + √12).
(a)6 + √6
(b)√15 + 2√3
(c)2√3
(d)6 + 2√3
8.Work out √225 ÷ 3.
(a)8.7
(b)5
(c)75
(d)45
9.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
(a)12
(b)7
(c)20
(d)5
10.Work out the value of (√5)⁴
(a)25
(b)625
(c)20
(d)5
11.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
12.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.
(a)4/5
(b)63/20
(c)9/5
(d)9/50
13.Work out ⁴√16
(a)4
(b)8
(c)64
(d)2
14.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
(a)90
(b)20
(c)45
(d)55
15.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
(a)56
(b)21
(c)35
(d)28

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