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.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?
(a)23,499
(b)22,500
(c)23,000
(d)23,600
2.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.
(a)7
(b)3
(c)1
(d)6
3.Work out 3 + 4 × (−2).
(a)−8
(b)−5
(c)−14
(d)11
4.Work out the value of ∛125.
(a)5
(b)375
(c)15625
(d)62.5
5.Work out the reciprocal of (2 + 3)
(a)1/5
(b)5/6
(c)5
(d)−1/5
6.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
(a)5/9
(b)3/5
(c)1/3
(d)4/15
7.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
(a)720
(b)800,000,000
(c)8,000,000,000
(d)0.000000008
8.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.
(a)11:20
(b)03:00
(c)08:40
(d)11:00
9.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.
(a)Yes, the true mass is at least 847.5 kg and at most 850 kg
(b)No, the true mass could be as high as 852.5 kg
(c)Yes, the display reads 850 kg, which is not above the limit
(d)No, 850 kg on the display rounds up to 855 kg
10.Round 592.5 to the nearest 10.
(a)600
(b)500
(c)590
(d)595
11.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
(a)6.1 < x ≤ 6.2
(b)6.2 ≤ x < 6.3
(c)6.2 ≤ x ≤ 6.3
(d)6.15 ≤ x < 6.25
12.Work out 20 − 8 ÷ 2 + 1
(a)16
(b)15
(c)7
(d)17
13.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
14.Write the fraction 9/25 as a decimal.
(a)0.9
(b)2.8
(c)0.36
(d)0.925
15.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
(a)31/50
(b)25/4
(c)5/8
(d)8/5

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