[discia] GCSE Maths › Number › Negative Numbers

Negative Numbers

discia.org 10 questions · 27 marks
Name Date
  1. Either paper 1 mark

    Write these numbers in order, starting with the smallest.

    \(8,\ -9,\ 3,\ -1,\ -11\)

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    \(-11,\ -9,\ -1,\ 3,\ 8\)
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  2. Either paper 1 mark

    The temperature in a cold store is below \(-13.5\)°C.

    Write down a possible temperature, in °C.

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    Any number less than \(-13.5\), for example \(-16\)
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  3. Either paper 2 marks
    (a)

    Find the value of \(-11 + 7\)

    (b)

    Find the value of \(2 - (-8)\)

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    (a) \(-4\)
    (b) \(10\)
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  4. Either paper 4 marks

    At 4 am the temperature in Bangor was \(-13^\circ\text{C}\).

    (a)

    By 2 pm the temperature had risen by \(16^\circ\text{C}\). Work out the temperature at 2 pm.

    (b)

    By midnight the temperature had fallen to \(-14^\circ\text{C}\). Work out the fall in temperature between 2 pm and midnight.

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    (a) \(3^\circ\text{C}\)
    (b) \(17^\circ\text{C}\)
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  5. Either paper 3 marks

    The diagram shows part of a 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.

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    (a) \(-10\)
    (b) \(18\)
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  6. Either paper 1 mark

    \(n\) is a negative even number.

    Circle the words that describe \(n^3\).

    - negative and odd - negative and even - positive and odd - positive and even

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    negative and even
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  7. Either paper 2 marks
    (a)

    Work out the value of \(-9 \times 6\)

    (b)

    Work out the value of \(-40 \div (-10)\)

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    (a) \(-54\)
    (b) \(4\)
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  8. Either paper 4 marks

    Erin has £45 in a bank account. A bill for £170 is taken out of the account.

    (a)

    Calculate the balance of the account after the £170 bill is taken out.

    (b)

    Erin then pays £460 into the account. Work out how much she now has in the account.

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    (a) \(-£125\)
    (b) \(\text{£}335\)
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  9. Either paper 3 marks
    (a)

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

    (b)

    Work out \((-5)^3\)

    (c)

    Work out \((-4) \times (-2) \times (-3)\)

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    (a) \(121\)
    (b) \(-125\)
    (c) \(-24\)
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  10. Either paper 6 marks

    In a quiz, every correct answer scores \(2\) points and every wrong answer scores \(-6\) points.

    (a)

    Tomas answers 3 questions correctly and 10 questions wrongly.

    Calculate Tomas's total score.

    (b)

    In a second quiz Tomas answers 7 questions correctly and scores -22 points.

    Calculate how many questions he answered wrongly.

    Show answer
    (a) \(-54\)
    (b) \(6\)
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discia.org Negative Numbers · sheet 1
Answers Negative Numbers · sheet 1
  1. \(-11,\ -9,\ -1,\ 3,\ 8\)
  2. Any number less than \(-13.5\), for example \(-16\)
  3. (a) \(-4\)
    (b) \(10\)
  4. (a) \(3^\circ\text{C}\)
    (b) \(17^\circ\text{C}\)
  5. (a) \(-10\)
    (b) \(18\)
  6. negative and even
  7. (a) \(-54\)
    (b) \(4\)
  8. (a) \(-£125\)
    (b) \(\text{£}335\)
  9. (a) \(121\)
    (b) \(-125\)
    (c) \(-24\)
  10. (a) \(-54\)
    (b) \(6\)
discia.org Negative Numbers · sheet 1