Printable math puzzles for kids - Free Printable

Looking at the grid, we need to find a pattern that connects the numbers.

Let’s look row by row and column by column.

First, notice that some numbers are filled in, and others are blank. The goal is likely to fill in the blanks based on a consistent rule.

Let’s check if there’s a pattern across rows or down columns.

Try looking at the first row:
6, 8, 11, 13, 16, 18

Differences between consecutive numbers:
8 - 6 = 2
11 - 8 = 3
13 - 11 = 2
16 - 13 = 3
18 - 16 = 2

So the pattern alternates: +2, +3, +2, +3, +2 — this works for row 1.

Now check row 2:
[blank], 20, 23, 25, [blank], 30

If we assume same pattern (+2, +3, +2, +3, +2):

Start from 20:
20 + 3 = 23 → matches
23 + 2 = 25 → matches
25 + 3 = 28 → so next should be 28
28 + 2 = 30 → matches!

So the blank before 20 must be 20 - 2 = 18? Wait, let’s go backward:

If the pattern is alternating +2, +3, then going backward from 20:

Before 20 should be 20 - 3 = 17? But wait — let’s think about position.

Actually, maybe the pattern starts from the left.

In row 1: positions 1→2: +2, 2→3: +3, 3→4: +2, etc.

So for row 2:

Position 1 → 2: should be +2? But we have blank → 20.

If position 2 is 20, and position 1 → 2 is +2, then position 1 = 18.

Then 18 → 20 (+2), 20 → 23 (+3), 23 → 25 (+2), 25 → 28 (+3), 28 → 30 (+2). Perfect.

So row 2 blanks: first blank = 18, fourth blank (after 25) = 28.

Now row 3:
34, 36, [blank], 41, 44, [blank]

Apply same pattern: +2, +3, +2, +3, +2

34 → 36 (+2) → good
36 → ? should be +3 → 39
39 → 41? 39 + 2 = 41 → yes
41 → 44 (+3) → yes
44 → ? should be +2 → 46

So blanks: third cell = 39, sixth cell = 46

Row 4:
76, [blank], 81, [blank], 86, [blank]

Pattern: +2, +3, +2, +3, +2

76 → ? should be +2 → 78
78 → 81? 78 + 3 = 81 → yes
81 → ? should be +2 → 83
83 → 86? 83 + 3 = 86 → yes
86 → ? should be +2 → 88

So blanks: second = 78, fourth = 83, sixth = 88

Row 5:
38, [blank], [blank], [blank], [blank], [blank]

Only first number given. Let’s apply pattern starting from 38.

38 → +2 = 40
40 → +3 = 43
43 → +2 = 45
45 → +3 = 48
48 → +2 = 50

So row 5: 38, 40, 43, 45, 48, 50

Row 6:
[blank], [blank], [blank], [blank], [blank], 46

Last number is 46. Work backwards using the pattern.

The pattern is +2, +3, +2, +3, +2 — so going backward: subtract 2, then 3, then 2, then 3, then 2.

From right to left:

Position 6: 46
Position 5: 46 - 2 = 44
Position 4: 44 - 3 = 41
Position 3: 41 - 2 = 39
Position 2: 39 - 3 = 36
Position 1: 36 - 2 = 34

So row 6: 34, 36, 39, 41, 44, 46

Wait — that’s exactly the same as row 3! Interesting.

Now let’s compile all filled values.

We can now fill the entire grid.

Original grid with blanks:

Row 1: 6, 8, 11, 13, 16, 18 → already full
Row 2: __, 20, 23, 25, __, 30 → we found 18 and 28
Row 3: 34, 36, __, 41, 44, __ → we found 39 and 46
Row 4: 76, __, 81, __, 86, __ → we found 78, 83, 88
Row 5: 38, __, __, __, __, __ → we found 40, 43, 45, 48, 50
Row 6: __, __, __, __, __, 46 → we found 34, 36, 39, 41, 44

But wait — row 6 ends with 46, and we calculated 34,36,39,41,44,46 — which matches row 3. That’s fine.

Now, let’s write the full grid with all numbers filled.

Final filled grid:

Row 1: 6, 8, 11, 13, 16, 18
Row 2: 18, 20, 23, 25, 28, 30
Row 3: 34, 36, 39, 41, 44, 46
Row 4: 76, 78, 81, 83, 86, 88
Row 5: 38, 40, 43, 45, 48, 50
Row 6: 34, 36, 39, 41, 44, 46

Wait — row 6 is same as row 3? That seems odd, but mathematically it fits the pattern.

Alternatively, maybe the pattern isn’t per row, but something else?

Another thought: perhaps the pattern is based on columns?

Let me check column 1:

Row1: 6
Row2: 18 (we filled)
Row3: 34
Row4: 76
Row5: 38
Row6: 34 (we filled)

No obvious pattern.

Column 2:
8, 20, 36, 78, 40, 36 — no clear pattern.

So row-wise alternating +2, +3 seems consistent.

But let’s double-check row 4: 76, 78, 81, 83, 86, 88

76+2=78
78+3=81
81+2=83
83+3=86
86+2=88 — perfect.

Row 5: 38,40,43,45,48,50 — same pattern.

Row 6: 34,36,39,41,44,46 — same as row 3.

But row 3 and row 6 are identical? That might be intentional or a coincidence.

Perhaps the grid has repeating patterns or symmetries, but since the problem doesn’t specify, and our row-by-row pattern holds for every row, we’ll go with that.

So the missing numbers are:

Row 2: first blank = 18, fifth blank = 28
Row 3: third blank = 39, sixth blank = 46
Row 4: second = 78, fourth = 83, sixth = 88
Row 5: second=40, third=43, fourth=45, fifth=48, sixth=50
Row 6: first=34, second=36, third=39, fourth=41, fifth=44

But the question is probably to fill all blanks, or perhaps just report the completed grid.

Since the user didn’t specify what exactly to output, but the task is to solve the problem, and the problem is to fill in the blanks, I should present the full grid with all numbers.

However, looking back at the original image description, it’s a 6x6 grid with some cells blank. The answer should be the completed grid.

But in the context of homework, perhaps they want the missing numbers listed? Or the full grid?

Since the instruction says “solve the problem accurately”, and the problem is implied to be filling the blanks, I’ll provide the full grid.

But to match the format, perhaps list the missing values in order? Or just state the completed grid.

Given that the final answer should be concise, and since it’s a grid, maybe I can describe it.

But let’s see — perhaps the problem is to find a specific missing number? No, the image shows multiple blanks.

Another idea: maybe the pattern is not per row, but the entire grid follows a sequence? Unlikely.

Or perhaps it’s two interleaved sequences? But row-wise works perfectly.

I think we’re good.

So final answer is the completed grid.

But to present it clearly:

The completed grid is:

6 8 11 13 16 18
18 20 23 25 28 30
34 36 39 41 44 46
76 78 81 83 86 88
38 40 43 45 48 50
34 36 39 41 44 46

Note: Row 3 and Row 6 are identical, which is fine based on the pattern.

To confirm, let’s check if any other pattern could fit.

For example, in row 4, starting from 76, if we did +3 first: 76+3=79, but then 79+2=81, which matches, but then 81+3=84, but we have 86, so no — must start with +2.

Similarly, all rows must start with +2 to fit the given numbers.

So the pattern is confirmed.

Therefore, the missing numbers are filled as above.

Final Answer:
The completed grid is:
Row 1: 6, 8, 11, 13, 16, 18
Row 2: 18, 20, 23, 25, 28, 30
Row 3: 34, 36, 39, 41, 44, 46
Row 4: 76, 78, 81, 83, 86, 88
Row 5: 38, 40, 43, 45, 48, 50
Row 6: 34, 36, 39, 41, 44, 46