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

DifficultyAllLevel 2Level 3Level 4
  1. 1
    Work out 7.56÷0.247.56 \div 0.24

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

    3.62+1.8412.7−4.36\frac{3.6^2 + 1.84}{\sqrt{12.7 - 4.36}}

    Write down all the figures on your calculator display.

    (2 marks)
    (b) Work out the value of the reciprocal of 0.320.32

    (1 mark)
    Level 2 · 3 marksTry it
  3. 3
    Use your calculator to work out

    (4.9×cos⁡23∘)27.15−tan⁡64∘\frac{(4.9 \times \cos 23^\circ)^2}{7.15 - \tan 64^\circ}

    Give your answer correct to 3 significant figures.

    (2 marks)
    Level 2 · 2 marksTry it
  4. 4
    (a) Write down the reciprocal of 88

    (1 mark)
    (b) Work out the reciprocal of 0.40.4

    (1 mark)
    Level 2 · 2 marksTry it
  5. 5
    (a) Work out 0.8×0.060.8 \times 0.06

    (1 mark)
    (b) Work out 5.6÷0.75.6 \div 0.7

    (1 mark)
    Level 2 · 2 marksTry it

2 more questions on long multiplication, division and calculator skills

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