Discia GCSE Maths › Number › Negative Numbers

Negative Numbers worksheet

9 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

9 questions 27 marks Sheet 1
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  1. 1 mark

    Write these numbers in order, starting with the smallest.

    \({shown:mathlist}\)

  2. 2 marks
    (a)

    Work out the value of \(-10 + 14\)

    (b)

    Work out the value of \(6 - (-11)\)

  3. 4 marks

    At 4 am the temperature in Aberdeen was \(-7^\circ\text{C}\).

    (a)

    By 2 pm the temperature had risen by \(13^\circ\text{C}\). Work out the temperature at 2 pm.

    (b)

    By midnight the temperature had fallen to \(-12^\circ\text{C}\). Work out the fall in temperature between 2 pm and midnight.

  4. 3 marks

    Here is part of a number line.

    number line-20-16-12-8-4048121620AB
    (a)

    State the number that the point labelled A is marking.

    (b)

    Calculate the difference between the numbers marked by A and B.

  5. 2 marks
    (a)

    Work out \(-8 \times 9\)

    (b)

    Work out \(-24 \div (-3)\)

  6. 4 marks

    Joel has £100 in a bank account. A bill for £225 is taken out of the account.

    (a)

    Calculate the balance of the account after the £225 bill is taken out.

    (b)

    Joel then pays £250 into the account. Work out how much he now has in the account.

  7. 3 marks
    (a)

    Work out \((-11)^2\)

    (b)

    Work out \((-2)^3\)

    (c)

    Work out \((-7) \times (-6) \times (-5)\)

  8. 6 marks

    In a quiz, every correct answer scores \(2\) points and every wrong answer scores \(-4\) points.

    (a)

    Ben answers 6 questions correctly and 8 questions wrongly.

    Find Ben's total score.

    (b)

    In a second quiz Ben answers 8 questions correctly and scores -40 points.

    Calculate how many questions he answered wrongly.

  9. 2 marks

    A pump is fixed exactly halfway between the top of the winding gear and the floor of the deepest level.

    Calculate the height of the pump.

Answers

  1. \({ordered:mathlist}\)
  2. (a) \(4\)
    (b) \(17\)
  3. (a) \(6^\circ\text{C}\)
    (b) \(18^\circ\text{C}\)
  4. (a) \(-10\)
    (b) \(22\)
  5. (a) \(-72\)
    (b) \(8\)
  6. (a) \(-£125\)
    (b) \(\text{£}125\)
  7. (a) \(121\)
    (b) \(-8\)
    (c) \(-210\)
  8. (a) \(-20\)
    (b) \(14\)
  9. \(-36\ \text{m}\)

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