GCSE · Integers, powers & roots

Long multiplication, division and calculator skillsExam-style questions

Why long multiplication and division work, so you can do them by hand without losing a place value; what a remainder means in a real question; multiplying and dividing decimals; getting new answers from a fact you are given; and keying a calculation in so the calculator does what the question means, then reading its display.

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15 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4

1
Work out $7.74 \div 0.12$

(3 marks)
Level 3 · 3 marksTry it
2
Using the information that

$57 \times 64 = 3648$

write down the value of
(a) $5.7 \times 6.4$

(1 mark)
(b) $3648 \div 6.4$

(1 mark)
(c) $0.57 \times 640$

(1 mark)
Level 3 · 3 marksTry it
3
Here is a question and an incorrect solution.

Question: Work out $5.6 \div 0.07$

Solution: $5.6 \div 0.07 = 5.6 \div 7 = 0.8$
(a) Describe the error made.

(1 mark)
(b) Write out a correct solution.

(2 marks)
Level 3 · 3 marksTry it
4
(a) Work out the value of

$\frac{4.7^2 + 3.06}{\sqrt{29.16} - 1.8}$

Write down all the figures on your calculator display.

(2 marks)
(b) Use your calculator to find the reciprocal of $0.16$

(1 mark)

Jo also works out the calculation in part (a).

Her calculator display shows $20.85666667$
(c) What mistake has Jo made?

(1 mark)
Level 3 · 4 marksTry it