Math worksheet for completing number series with missing values.

Looking at the worksheet, the task is to complete number series — meaning we need to fill in the missing numbers so that each row follows a consistent pattern.

Let’s go row by row and figure out the pattern.

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Row 1:
5, 6, __, __, 9, __, __, __

Starts at 5, then 6 → that’s +1 each time.
So:
5, 6, 7, 8, 9, 10, 11, 12

✔ Pattern: Counting up by 1.

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Row 2:
__, 11, __, __, __, 15, __, 17

We see 11, then later 15, then 17.
From 15 to 17 is +2, so maybe it’s counting by 2s?
Check: If it’s +2, then before 11 would be 9, then 11, 13, 15, 17.
That fits!

So: 9, 11, 13, 15, 17 — wait, but there are 8 positions.

Let’s list positions:

Position 1: ?
Position 2: 11
Position 3: ?
Position 4: ?
Position 5: ?
Position 6: 15
Position 7: ?
Position 8: 17

If step is +2:

Start from position 2 = 11
Then pos3 = 13, pos4=15, pos5=17 — but pos6 is already 15? That doesn’t fit.

Wait — maybe it’s +2 starting from first number?

Try:
If pos1 = 9 → pos2=11, pos3=13, pos4=15, pos5=17 — but pos6 is given as 15? Conflict.

Wait — look again:
The row is: __, 11, __, __, __, 15, __, 17

So positions:

1: ?
2: 11
3: ?
4: ?
5: ?
6: 15
7: ?
8: 17

From 15 to 17 is +2 → likely step is +2.

So if pos6 = 15, then pos7 = 17? But pos8 is 17 — conflict.

Wait — pos8 is 17, pos6 is 15 → so pos7 must be 16? Then not +2.

Alternative: Maybe it’s +1? Let’s test:

If pos2 = 11, pos6 = 15 → difference of 4 positions → 15 - 11 = 4 → so +1 per step.

Then:

pos2 = 11
pos3 = 12
pos4 = 13
pos5 = 14
pos6 = 15 ✔
pos7 = 16
pos8 = 17 ✔

And pos1 = 10

So: 10, 11, 12, 13, 14, 15, 16, 17

✔ Pattern: Counting up by 1.

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Row 3:
7, __, __, __, 11, __, 13, __

Starts at 7, then 11, then 13.

From 7 to 11 is 4 steps? Positions:

pos1: 7
pos2: ?
pos3: ?
pos4: ?
pos5: 11
pos6: ?
pos7: 13
pos8: ?

From pos1=7 to pos5=11 → 4 steps → 11 - 7 = 4 → so +1 per step.

Then:

pos1: 7
pos2: 8
pos3: 9
pos4: 10
pos5: 11 ✔
pos6: 12
pos7: 13 ✔
pos8: 14

✔ Pattern: Counting up by 1.

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Row 4:
__, 5, __, __, __, 9, __, 11

pos2 = 5
pos6 = 9
pos8 = 11

From pos2 to pos6: 4 steps, 9 - 5 = 4 → +1 per step.

So:

pos1: 4
pos2: 5
pos3: 6
pos4: 7
pos5: 8
pos6: 9 ✔
pos7: 10
pos8: 11 ✔

✔ Pattern: Counting up by 1.

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Row 5:
__, __, 3, __, 5, 6, __, __

pos3 = 3
pos5 = 5
pos6 = 6

From pos3 to pos5: 2 steps, 5 - 3 = 2 → +1 per step.

So:

pos1: 1
pos2: 2
pos3: 3 ✔
pos4: 4
pos5: 5 ✔
pos6: 6 ✔
pos7: 7
pos8: 8

✔ Pattern: Counting up by 1.

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Row 6:
13, __, __, __, 17, 18, __, __

pos1 = 13
pos5 = 17
pos6 = 18

From pos1 to pos5: 4 steps, 17 - 13 = 4 → +1 per step.

So:

pos1: 13
pos2: 14
pos3: 15
pos4: 16
pos5: 17 ✔
pos6: 18 ✔
pos7: 19
pos8: 20

✔ Pattern: Counting up by 1.

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Row 7:
__, 12, 13, __, 15, __, __, __

pos2 = 12
pos3 = 13
pos5 = 15

Clearly +1 each time.

So:

pos1: 11
pos2: 12
pos3: 13
pos4: 14
pos5: 15 ✔
pos6: 16
pos7: 17
pos8: 18

✔ Pattern: Counting up by 1.

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Row 8:
__, 1, __, __, __, __, 6, 7

pos2 = 1
pos7 = 6
pos8 = 7

From pos2 to pos7: 5 steps, 6 - 1 = 5 → +1 per step.

So:

pos1: 0
pos2: 1
pos3: 2
pos4: 3
pos5: 4
pos6: 5
pos7: 6 ✔
pos8: 7 ✔

✔ Pattern: Counting up by 1 (including 0).

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Row 9:
9, __, __, __, 13, __, __, 16

pos1 = 9
pos5 = 13
pos8 = 16

From pos1 to pos5: 4 steps, 13 - 9 = 4 → +1 per step.

Then:

pos1: 9
pos2: 10
pos3: 11
pos4: 12
pos5: 13 ✔
pos6: 14
pos7: 15
pos8: 16 ✔

✔ Pattern: Counting up by 1.

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Row 10:
12, 13, __, __, __, 17, __, __

pos1 = 12
pos2 = 13
pos6 = 17

From pos2 to pos6: 4 steps, 17 - 13 = 4 → +1 per step.

So:

pos1: 12
pos2: 13
pos3: 14
pos4: 15
pos5: 16
pos6: 17 ✔
pos7: 18
pos8: 19

✔ Pattern: Counting up by 1.

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All rows follow the same simple pattern: counting up by 1.

Now, let’s write the completed series for each row.

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Final Answer:
5, 6, 7, 8, 9, 10, 11, 12
9, 11, 13, 15, 17 — Wait, no — we corrected Row 2 to be: 10, 11, 12, 13, 14, 15, 16, 17

Actually, let me compile all correct answers clearly:

Row 1: 5, 6, 7, 8, 9, 10, 11, 12
Row 2: 10, 11, 12, 13, 14, 15, 16, 17
Row 3: 7, 8, 9, 10, 11, 12, 13, 14
Row 4: 4, 5, 6, 7, 8, 9, 10, 11
Row 5: 1, 2, 3, 4, 5, 6, 7, 8
Row 6: 13, 14, 15, 16, 17, 18, 19, 20
Row 7: 11, 12, 13, 14, 15, 16, 17, 18
Row 8: 0, 1, 2, 3, 4, 5, 6, 7
Row 9: 9, 10, 11, 12, 13, 14, 15, 16
Row 10: 12, 13, 14, 15, 16, 17, 18, 19

All filled with consecutive integers increasing by 1.

Final Answer:
5, 6, 7, 8, 9, 10, 11, 12
10, 11, 12, 13, 14, 15, 16, 17
7, 8, 9, 10, 11, 12, 13, 14
4, 5, 6, 7, 8, 9, 10, 11
1, 2, 3, 4, 5, 6, 7, 8
13, 14, 15, 16, 17, 18, 19, 20
11, 12, 13, 14, 15, 16, 17, 18
0, 1, 2, 3, 4, 5, 6, 7
9, 10, 11, 12, 13, 14, 15, 16
12, 13, 14, 15, 16, 17, 18, 19