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 · 15 questions

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1.Work out 2/5 of 45.
(a)36
(b)27
(c)18
(d)9
2.Work out the lowest common multiple of 9 and 15.
(a)24
(b)45
(c)135
(d)3
3.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.
(a)6
(b)4
(c)8
(d)2
4.Write down the reciprocal of 0.2
(a)−0.2
(b)0.8
(c)5
(d)0.5
5.Write the mixed number 2 1/4 as an improper fraction.
(a)7/4
(b)9/4
(c)3/4
(d)5/4
6.Which of these numbers lies between −8 and −5 on a number line?
(a)−9
(b)6
(c)−4
(d)−6
7.Round 24,681 to the nearest 1,000.
(a)24,700
(b)24,000
(c)20,000
(d)25,000
8.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.
(a)33.5 mph
(b)33 mph
(c)34.5 mph
(d)34 mph
9.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.
(a)No — 493 kg is only an estimate, so it may be over 500 kg
(b)Cannot be decided without the exact total
(c)Yes — the greatest possible total is 493.5 kg, under 500 kg
(d)No — the true total could be as high as 498 kg
10.Work out ∛64.
(a)21.3
(b)4
(c)192
(d)8
11.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.
(a)9 °C
(b)6 °C
(c)3 °C
(d)−9 °C
12.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
13.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?
(a)5/4
(b)5/9
(c)4/9
(d)4/5
14.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.
(a)3/5
(b)3/10
(c)1/10
(d)1/5
15.Round 6.283 to 1 significant figure.
(a)10
(b)6.3
(c)6
(d)0.6

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