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.

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Number worksheet — GCSE Foundation

Maths · GCSE Foundation · Number · 15 questions

MathsUKwww.geekhero.co.uk

1.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
2.Which statement about the number 51 is correct?
(a)51 is prime, because it is not divisible by 2, 3 or 5.
(b)51 is not prime, because it is divisible by 2.
(c)51 is prime, because it is an odd number.
(d)51 is not prime, because 51 = 3 × 17.
3.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
4.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
(a)6
(b)72
(c)60
(d)12
5.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.
(a)651.35 kg
(b)0.70 kg
(c)2.00 kg
(d)7.85 kg
6.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
(a)1/2
(b)1/6
(c)5/6
(d)1
7.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.
(a)7.1 kg
(b)2.645 kg
(c)3.05 kg
(d)452.6 kg
8.Write the mixed number 2 1/4 as an improper fraction.
(a)7/4
(b)9/4
(c)3/4
(d)5/4
9.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.
(a)£177.60
(b)£444.00
(c)£88.80
(d)£266.40
10.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
11.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.
(a)4 × 10⁻⁸
(b)4 × 10⁻¹⁵
(c)4 × 10⁻¹
(d)40 × 10⁻²
12.Work out √144
(a)72
(b)36
(c)12
(d)14
13.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
(a)8.35 ≤ L < 8.45
(b)8.4 ≤ L < 8.5
(c)8.3 ≤ L < 8.5
(d)8.35 < L ≤ 8.45
14.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.
(a)7/9
(b)2/7
(c)7/2
(d)2/9
15.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22

Build your own mix at the worksheet builder.