GCSE · Standard form

Calculating in standard formExam-style questions

Why multiplying and dividing in standard form is just the index laws, why the answer often needs re-standardising, and why adding needs the powers aligned first.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Work out (4×105)×(5×103)(4 \times 10^5) \times (5 \times 10^3). Give your answer in standard form.
    Level 2 · 2 marksTry it
  2. 2
    (a) Work out (3×104)×(5×10−2)(3 \times 10^4) \times (5 \times 10^{-2}) Give your answer in standard form. (2 marks)

    (b) Work out (8×105)÷(2×102)(8 \times 10^5) \div (2 \times 10^2) Give your answer in standard form. (1 mark)
    Level 2 · 3 marksTry it
  3. 3
    (a) Work out (2.4×106)×(3×10−2)(2.4 \times 10^6) \times (3 \times 10^{-2}). Give your answer in standard form. [2]

    (b) Work out (9×108)÷(1.5×103)(9 \times 10^8) \div (1.5 \times 10^3). Give your answer in standard form. [2]
    Level 2 · 4 marksTry it
  4. 4
    (a) Work out (4×105)×(6×10−2)(4 \times 10^5) \times (6 \times 10^{-2}). Give your answer in standard form. [2]

    (b) Work out (3.6×107)÷(9×102)(3.6 \times 10^7) \div (9 \times 10^2). Give your answer in standard form. [2]
    Level 2 · 4 marksTry it