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Negative Numbers and the Number Line

Quiz · Maths · Y7 Integers · Year 7
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.

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Level 1 · Warm-up

1 Write "5 degrees below zero" as an integer.
Show worked solution
Five steps below zero is −5.
2 What is the opposite of 9?
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Nine steps on the other side of zero gives −9.
3 Which of −2 and 3 sits further LEFT on the number line?
Show worked solution
−2 is on the negative side of zero, so it is further left than 3.

Level 2 · Core

4 Start at 4 on the number line and move 9 places to the left. Where do you land?
Show worked solution
4 − 9 = −5. Four hops take you to 0, and five more take you to −5.
5 The temperature is −6 °C and it rises 10 degrees. What is the new temperature?
Show worked solution
−6 + 10 = 4 °C. Six hops reach 0 and the remaining four take you to 4.
6 A lift starts on level −2 and goes up 5 floors. Which floor does it reach?
Show worked solution
−2 + 5 = 3, the third floor.

Level 3 · Challenge

7 Sam has $20 in his account and spends $35. Write his new balance as an integer.
Show worked solution
20 − 35 = −15, so he owes $15.
8 The temperature is −4 °C and then falls another 7 degrees. What is the new temperature?
Show worked solution
−4 − 7 = −11 °C. Starting below zero and going down takes you further from zero.
9 What is the opposite of the opposite of −8?
Show worked solution
The opposite of −8 is 8, and the opposite of 8 is −8. Two flips return you to the start.