Grade 6 math worksheet on operations with whole numbers using number lines to solve equations.

Let’s solve each problem step by step using the number line idea — even if we don’t draw it, we can imagine moving forward for addition and backward for subtraction.

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Problem i: 5 + 7 – 4

Start at 5.
Add 7 → move 7 steps to the right: 5 → 6 → 7 → 8 → 9 → 10 → 11 → 12
Now subtract 4 → move 4 steps to the left: 12 → 11 → 10 → 9 → 8

✔ So, 5 + 7 – 4 = 8

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Problem ii: 10 + 8 – 13

Start at 10.
Add 8 → 10 → 11 → 12 → 13 → 14 → 15 → 16 → 17 → 18
Subtract 13 → go back 13 steps from 18:
18 → 17 → 16 → 15 → 14 → 13 → 12 → 11 → 10 → 9 → 8 → 7 → 6 → 5

✔ So, 10 + 8 – 13 = 5

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Problem iii: 17 + 6 – 15

Start at 17.
Add 6 → 17 → 18 → 19 → 20 → 21 → 22 → 23
Subtract 15 → go back 15 steps from 23:
23 → 22 → 21 → 20 → 19 → 18 → 17 → 16 → 15 → 14 → 13 → 12 → 11 → 10 → 9 → 8

✔ So, 17 + 6 – 15 = 8

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Problem iv: 29 + 12 – 14

Start at 29.
Add 12 → 29 + 10 = 39, then +2 more = 41
Subtract 14 → 41 – 10 = 31, then –4 more = 27

Or count back: 41 → 40 → 39 → ... down to 27 (that’s 14 steps)

✔ So, 29 + 12 – 14 = 27

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Final Answer:
i. 8
ii. 5
iii. 8
iv. 27