Numbers and place value · Ages 10–11

Adding and subtracting on a number line worksheet

Part of: Negative numbers

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Numbers and place value · Ages 10–11

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.−6 + 7 =
Answer:
2.−4 + 15 =
Answer:
3.−4 + = −1
Answer:
4.−1 + = 6
Answer:
5.To work out 1 − 6, move left from 1: first steps to 0, then more steps to the answer.
Fill in each blank
Answer:
6.To work out 2 − 5, move left from 2: first steps to 0, then more steps to the answer.
Fill in each blank
Answer:

13.Chi-keung's Octopus card shows a balance of −11 dollars. After Chi-keung adds 50 dollars, how many dollars are on the card?
Working:
Answer:
14.Taking G as 0, a lift on floor 4 goes down 7 floors to a basement, then up 10 floors. Which floor is it on now?
Working:
Answer:
15.Chi-keung plays a game, starting on 0 points: 4 points are taken off, then 6 more, then Chi-keung wins 14 points. What is Chi-keung's score now?
- A. 4
- B. 16
- C. 24
- D. −24
Choose the right answer
Working:
Answer:
16.In London it was 5°C in the morning, and by evening it had fallen 9 degrees. What was the temperature in the evening?
- A. −3°C
- B. −4°C
- C. 4°C
- D. 14°C
Choose the right answer
Working:
Answer:
17.Taking sea level as 0 m, a diver is at −14 m. He swims up 8 m, then dives 6 m deeper. How many metres below sea level is he now?
Working:
Answer:
18.Ka-yan's Octopus card shows a balance of −12 dollars. After Ka-yan adds 100 dollars, how many dollars are on the card?
Working:
Answer:

Show the answers and working

Adding and subtracting on a number line worksheet: Answers and working

1. 1
Adding 7 means 7 steps right from −6. How many steps does it take to reach 0 first?
From −6 move 7 steps right: 6 of them reach 0, and 1 more reach 1.
2. 11
Adding 15 means 15 steps right from −4. How many steps does it take to reach 0 first?
From −4 move 15 steps right: 4 of them reach 0, and 11 more reach 11.
3. 3
The box is how many steps right it takes to get from −4 to −1. Count the steps between them.
Getting from −4 to −1 takes 3 steps right.
4. 7
The box is how many steps right it takes to get from −1 to 6. Count the steps between them.
Getting from −1 to 6 takes 7 steps right.
5. 1, 5
Moving left from 1, how many steps reach 0? And how many of the 6 steps are left after that?
1 steps reach 0 and 6 − 1 = 5 remain: the answer is −5.
6. 2, 3
Moving left from 2, how many steps reach 0? And how many of the 5 steps are left after that?
2 steps reach 0 and 5 − 2 = 3 remain: the answer is −3.

7. C. −6
Subtracting 11 means 11 steps left from 5. 5 steps take you to 0; how many more are there?
From 5 move 11 steps left: 5 of them reach 0, and 6 more reach −6.
8. D. −6
Subtracting 13 means 13 steps left from 7. 7 steps take you to 0; how many more are there?
From 7 move 13 steps left: 7 of them reach 0, and 6 more reach −6.
9. B. −10
−5 is already left of 0, and subtracting 5 moves further left. How far from 0 will you be?
−5 is already left of 0; 5 more steps left puts it 10 from 0: −10.
10. B. 7 − 11 = −4
See which number the jump starts at, which way it goes and how many steps it covers.
The jump starts at 7 and goes 11 steps left, to −4: 7 − 11 = −4.
11. False
Adding 7 is 7 steps right from −5. See whether that takes you past 0, then compare with −12.
From −5, 7 steps right reach 2.
12. D. −13
−9 is already left of 0, and subtracting 4 moves further left. How far from 0 will you be?
−9 is already left of 0; 4 more steps left puts it 13 from 0: −13.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 39 dollars
−11 dollars means the card owes 11 dollars. The 50 dollars added go first to paying that back.
−11 + 50: 11 dollars pay back what is owed, to 0, and 39 dollars are left.
14. 7
First find where the lift is after going down 7: 4 − 7; below 0 is a basement.
Then go up 10 floors from there; G counts as a floor on the way.
4 − 7 = −3, which is B3; −3 + 10 = 7, floor 7.
15. A. 4
Start at 0: points taken off move left and points won move right. First add up the points taken off: 4 + 6.
Points taken off subtract and points won add: 4 + 6 = 10 off in all, and 0 − 10 + 14 = 4.
16. B. −4°C
Falling 9 degrees means counting 9 marks down from 5°C, and carrying on below 0°C.
5 − 9 = −4: 9 steps left from 5.
17. 12 m
Start at −14. Swimming up moves towards 0 and diving moves away. First work out where he is after swimming up 8 m.
Swimming up adds and diving subtracts: −14 + 8 − 6 = −12, so 12 m below sea level.
18. 88 dollars
−12 dollars means the card owes 12 dollars. The 100 dollars added go first to paying that back.
−12 + 100: 12 dollars pay back what is owed, to 0, and 88 dollars are left.

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