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.Work out 35% of 180.
(a)45
(b)63
(c)145
(d)126
2.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.
(a)1 hour 24 minutes
(b)2 hours 24 minutes
(c)2 hours 36 minutes
(d)1 hour 36 minutes
3.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
4.Write down the fraction, in its simplest form, that is equal to 0.6
(a)1/6
(b)2/3
(c)3/50
(d)3/5
5.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
6.Write down the reciprocal of 5/8
(a)−8/5
(b)8/5
(c)5/8
(d)3/8
7.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
(a)6
(b)12
(c)36
(d)21
8.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
(a)36
(b)18
(c)54
(d)27
9.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
(a)4,000 nanometres
(b)4 nanometres
(c)400 nanometres
(d)0.004 nanometres
10.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
(a)30, which is not prime
(b)31, which is not prime because 31 = 1 × 31
(c)31, which is not prime because it is a multiple of 3
(d)31, which is prime
11.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
(a)121 litres
(b)57 litres
(c)87 litres
(d)72 litres
12.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?
(a)3.49 kg
(b)2.50 kg
(c)3.50 kg
(d)2.90 kg
13.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
14.Which of these numbers lies between −8 and −5 on a number line?
(a)−9
(b)6
(c)−4
(d)−6
15.Work out how many factors 100 has.
(a)8
(b)4
(c)9
(d)10

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