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
A school buys $28$ packs of exercise books.

There are $125$ books in each pack.

The books are shared equally between $32$ classes.

Each class needs $110$ books.

Are there enough books for every class?

You must show how you get your answer.

(4 marks)
Level 4 · 4 marksTry it
2
The diagram shows the floor of a rectangular room.Dev is going to cover all of the floor with laminate flooring.

Laminate flooring is sold in packs.

One pack covers $2.4$ m²

Each pack costs £ $18.50$

Dev has £ $215$

Has Dev got enough money to buy the packs he needs?

You must show how you get your answer.

(5 marks)
Level 4 · 5 marksTry it
3
You are given that $36 \times 85 = 3060$
(a) Work out $3.6 \times 0.85$

(1 mark)
(b) Work out $3060 \div 8.5$

(1 mark)
(c) Zara says,

" $30.6 \div 0.36 = 8.5$ "

Is she correct?

Tick a box.

☐ Yes ☐ No

Show working to support your answer.

(2 marks)
Level 4 · 4 marksTry it
4
A machine fills $4500$ bottles of water.

It fills $1200$ bottles each hour.

The machine starts filling the bottles at 08 40

The bottles must all be filled by 12 30

Will the machine fill all the bottles in time?

You must show how you get your answer.

(4 marks)
Level 4 · 4 marksTry it