Let’s solve each number line one by one. We’ll look for the pattern — usually, numbers increase by 1 or by a fixed amount (like +2).
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First number line:
Given: _ , 8, 9, _ , 11, 12, _
We see 8 → 9 → ? → 11 → 12 → ?
So it’s increasing by 1 each time.
Before 8 is 7
After 9 is 10
After 12 is 13
→ Missing:
7, 10, 13
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Second number line:
Given: 2, _ , _ , 5, 6, _ , _
From 2 to 5 is 3 steps → so each step is +1.
2 → 3 → 4 → 5 → 6 → 7 → 8
→ Missing:
3, 4, 7, 8
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Third number line:
Given: 3, _ , 5, _ , _ , _ , _
From 3 to 5 is two steps → so each step is +1.
3 → 4 → 5 → 6 → 7 → 8 → 9
→ Missing:
4, 6, 7, 8, 9
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Fourth number line:
Given: 2, 4, 6, _ , _ , _ , _
This increases by 2 each time.
2 → 4 → 6 → 8 → 10 → 12 → 14
→ Missing:
8, 10, 12, 14
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Fifth number line:
Given: 3, 5, 7, _ , _ , _ , _
Increases by 2.
3 → 5 → 7 → 9 → 11 → 13 → 15
→ Missing:
9, 11, 13, 15
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Sixth number line:
Given: 7, _ , _ , 13, 15, 17, _
Check from 13 to 15 to 17 → that’s +2 each.
So before 13 should be 11, then 9, then 7 → matches start.
After 17 is 19.
Sequence: 7, 9, 11, 13, 15, 17, 19
→ Missing:
9, 11, 19
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Seventh number line:
Given: _ , _ , _ , _ , _ , 18, 19
Ends with 18, 19 → so increasing by 1.
Work backward: 17, 16, 15, 14, 13, 18, 19
Wait — positions: there are 7 boxes total. Last two are 18 and 19.
So:
Position 1: ?
Position 2: ?
Position 3: ?
Position 4: ?
Position 5: ?
Position 6: 18
Position 7: 19
So position 5 must be 17, then 16, 15, 14, 13
→ Sequence: 13, 14, 15, 16, 17, 18, 19
→ Missing:
13, 14, 15, 16, 17
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Eighth number line:
Given: 5, _ , _ , _ , 13, _ , 17
Check from 5 to 13 — how many steps? Positions:
Pos1: 5
Pos2: ?
Pos3: ?
Pos4: ?
Pos5: 13
Pos6: ?
Pos7: 17
From pos1 to pos5: 4 steps → 5 to 13 is +8 over 4 steps → so +2 per step.
Check: 5 → 7 → 9 → 11 → 13 → 15 → 17
✔
→ Missing:
7, 9, 11, 15
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Now let’s compile all answers in order as they appear on the worksheet.
Final Answer:
Line 1: 7, 10, 13
Line 2: 3, 4, 7, 8
Line 3: 4, 6, 7, 8, 9
Line 4: 8, 10, 12, 14
Line 5: 9, 11, 13, 15
Line 6: 9, 11, 19
Line 7: 13, 14, 15, 16, 17
Line 8: 7, 9, 11, 15
Parent Tip: Review the logic above to help your child master the concept of sequences worksheet grade 6.
