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 (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
(a)9 × 10¹³
(b)9 × 10⁶
(c)6.3 × 10⁷
(d)9 × 10⁷
2.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
3.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.
(a)54 hours
(b)78 hours
(c)66 hours
(d)96 hours
4.Simplify x⁶ ÷ x²
(a)x¹²
(b)x³
(c)x⁸
(d)x⁴
5.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
(a)1/4
(b)1/3
(c)3/4
(d)1/5
6.Write the mixed number 2 1/4 as an improper fraction.
(a)7/4
(b)9/4
(c)3/4
(d)5/4
7.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.
(a)5
(b)10
(c)500
(d)45
8.Which of these statements about −0.7 and −0.25 is true?
(a)−0.7 = −0.25
(b)−0.7 < −0.25
(c)−0.7 ≥ −0.25
(d)−0.7 > −0.25
9.Write 0.35 as a fraction in its lowest terms.
(a)7/25
(b)35/10
(c)3/10
(d)7/20
10.Round 24,681 to the nearest 1,000.
(a)24,700
(b)24,000
(c)20,000
(d)25,000
11.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.
(a)1/9
(b)9/100
(c)9/10
(d)9
12.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
(a)18
(b)36
(c)6
(d)12
13.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
(a)2, 3, 4, 5
(b)3, 4, 5
(c)1, 2, 3, 4, 5
(d)2, 3, 4, 5, 6
14.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
(a)−11
(b)−1
(c)−5
(d)11
15.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
(a)0.11 g/cm³
(b)9 g/cm³
(c)480 g/cm³
(d)32400 g/cm³

Build your own mix at the worksheet builder.