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.Work out 5⁰ + 5¹ + 5²
(a)125
(b)30
(c)31
(d)35
2.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
(a)64
(b)28
(c)56
(d)16
3.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
(a)4 × 10⁸
(b)4 × 10¹²
(c)4 × 10⁴
(d)6 × 10⁴
4.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.
(a)5.25
(b)5
(c)6
(d)7
5.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
(a)12.25 ≤ t < 12.35
(b)12.3 < t ≤ 12.4
(c)12.3 ≤ t < 12.4
(d)12.3 ≤ t ≤ 12.4
6.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
(a)25
(b)−5
(c)1
(d)−35
7.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
(a)18
(b)30
(c)90
(d)14
8.Work out the exact value of √(2² + 3²)
(a)13
(b)√5
(c)5
(d)√13
9.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
(a)7.5 m
(b)2.1 m
(c)3.0 m
(d)2.7 m
10.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108
11.The radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.
(a)33.2
(b)31.2
(c)32.2
(d)10.2
12.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.
(a)The tape can only give the length to the nearest centimetre
(b)A length in metres must be written to 2 decimal places
(c)A length in metres must be rounded to the nearest metre
(d)The tape can only give the length to the nearest millimetre
13.Simplify (3a²)² × (2a)³
(a)17a⁷
(b)72a¹²
(c)36a⁷
(d)72a⁷
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.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
(a)7 × 10⁴
(b)12 × 10⁴
(c)1.2 × 10⁴
(d)1.2 × 10⁵

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