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.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
(a)1 × 10³
(b)0.1 × 10⁻²
(c)1 × 10⁻⁴
(d)1 × 10⁻³
2.Work out the value of √64.
(a)16
(b)4
(c)32
(d)8
3.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
4.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
(a)4 miles
(b)830 miles
(c)41.5 miles
(d)40 miles
5.Work out √144
(a)72
(b)36
(c)12
(d)14
6.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?
(a)1/3
(b)2/3
(c)1/2
(d)7/12
7.Work out the value of 2⁻⁴
(a)16
(b)−16
(c)1/8
(d)1/16
8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
(a)0.0485
(b)0.052
(c)0.0479
(d)0.04
9.Four students work out 6 + 2 × 3. Which student has worked it out correctly?
(a)Chen: 6 × 2 = 12, then 12 + 3 = 15
(b)Dev: 2 × 3 = 5, then 6 + 5 = 11
(c)Ben: 2 × 3 = 6, then 6 + 6 = 12
(d)Amy: 6 + 2 = 8, then 8 × 3 = 24
10.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.
(a)9 × 10²³ seconds
(b)3 × 10⁷ seconds
(c)1 × 10⁻⁷ seconds
(d)1 × 10⁷ seconds
11.Work out the lowest common multiple of 9 and 15.
(a)24
(b)45
(c)135
(d)3
12.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?
(a)Fewer than 48,500 people attended
(b)More than 48,500 people attended
(c)Fewer than 47,500 people attended
(d)More than 48,000 people attended
13.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
(a)£6.66
(b)£8
(c)£7.60
(d)£7.40
14.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.
(a)16:05
(b)12:45
(c)16:25
(d)15:85
15.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
(a)183.75 mph
(b)52.5 mph
(c)72.4 mph
(d)60 mph

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