"Rainbow to 10" math worksheet for learning addition facts that equal 10, featuring a colorful rainbow and fun exercises.

Let’s solve this step by step.

We are filling in blanks so that each equation adds up to 10.
Each line looks like:
_ + _ = 10

Some numbers are already given — we just need to find the missing number that makes the total 10.

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Left column:

1. 0 + ___ = 10 → What plus 0 is 10? → 10
2. ___ + ___ = 10 → Wait, both are blank? But looking at the pattern, maybe it’s meant to be filled with pairs that add to 10. Since no number is given, perhaps it’s a free pair? But let’s check the right side — all have one number given. Maybe this was a typo or misprint? Actually, looking again — in the original image, the second row on left has two blanks? Hmm. Let me recheck.

Wait — actually, looking carefully at the structure:

The worksheet says “Rainbow to 10” — meaning we’re finding pairs that make 10, like rainbow facts.

In the left column:

Row 1: 0 + __ = 10 → answer is 10
Row 2: __ + __ = 10 → but both blank? That doesn’t help. Wait — maybe I misread. Let me list them as they appear:

Actually, from top to bottom on LEFT side:

- 0 + ○ = 10 → fill ○ with 10
- ○ + ○ = 10 → both blank? That can’t be right for solving. Unless... wait, maybe it’s supposed to be symmetric? Or perhaps it’s a mistake? Let’s look at the RIGHT side first — those have one number given.

Right column:

- ○ + 5 = 10 → 5
- 6 + ○ = 10 → 4
- ○ + 3 = 10 → 7
- 9 + ○ = 10 → 1
- 10 + ○ = 10 → 0

Now back to left column:

Given:

- 0 + ○ = 10 → 10
- ○ + ○ = 10 → ??? This is odd. But wait — maybe it’s meant to be filled with any pair? But since it’s homework, probably there’s a pattern. Looking at the full set, maybe the second row on left is meant to be “1 + 9”? Because 0+10, then 1+9, 2+8, etc.? Let’s see what’s given below:

Next row: ○ + 8 = 10 → so that would be 2
Then: 3 + ○ = 10 → 7
Then: ○ + ○ = 10 → again both blank?
Then: 5 + ○ = 10 → 5

Wait — let’s list all rows clearly as per typical “rainbow to 10” worksheets:

Usually, they go:

0 + 10
1 + 9
2 + 8
3 + 7
4 + 6
5 + 5
6 + 4
7 + 3
8 + 2
9 + 1
10 + 0

But here, the worksheet has 10 equations (5 on left, 5 on right).

Looking at the left column as written:

Row 1: 0 + ○ = 10 → 10
Row 2: ○ + ○ = 10 → ?
Row 3: ○ + 8 = 10 → 2
Row 4: 3 + ○ = 10 → 7
Row 5: ○ + ○ = 10 → ?
Row 6: 5 + ○ = 10 → 5

Wait — that’s 6 rows? No, let me count the circles.

Actually, in the image description, it shows:

Left column has 6 rows? No — let me recount based on standard layout.

Perhaps better to treat each equation independently where possible.

Let me write out each equation as presented (based on common interpretation of such worksheets):

LEFT COLUMN:

1. 0 + ___ = 10 → 10
2. ___ + ___ = 10 → This must be a pair — likely 1 and 9 (since 0+10 done, next is 1+9)
3. ___ + 8 = 10 → 2
4. 3 + ___ = 10 → 7
5. ___ + ___ = 10 → Next pair: 4 and 6
6. 5 + ___ = 10 → 5

RIGHT COLUMN:

1. ___ + 5 = 10 → 5
2. 6 + ___ = 10 → 4
3. ___ + 3 = 10 → 7
4. 9 + ___ = 10 → 1
5. 10 + ___ = 10 → 0

Wait — that’s 6 on left and 5 on right? That doesn’t match. Let me check the original problem statement again.

User said: “Rainbow to 10” with a rainbow and clouds, and equations below.

Typically, these worksheets have 11 pairs (0+10 to 10+0), but here it seems arranged in two columns with 5 or 6 each.

Looking at the text provided:

“0 + ○ =10
○ + ○ =10
○ + 8 =10
3 + ○ =10
○ + ○ =10
5 + ○ =10”

That’s 6 on left.

Right side:

“○ + 5 =10
6 + ○ =10
○ + 3 =10
9 + ○ =10
10 + ○ =10”

That’s 5 on right. Total 11 — which matches 0 through 10.

So let’s assign:

Left column:

1. 0 + 10 = 10
2. 1 + 9 = 10 (first blank 1, second 9)
3. 2 + 8 = 10
4. 3 + 7 = 10
5. 4 + 6 = 10 (first blank 4, second 6)
6. 5 + 5 = 10

Right column:

1. 5 + 5 = 10 → but wait, 5 is already used? No, it’s fine — 5+5 appears once.

Actually, right column:

1. ○ + 5 = 10 → 5
2. 6 + ○ = 10 → 4
3. ○ + 3 = 10 → 7
4. 9 + ○ = 10 → 1
5. 10 + ○ = 10 → 0

But now we have duplicates? For example, 5+5 appears on left row 6 and right row 1? That might be okay, but let’s see if the worksheet intends unique pairs.

Actually, in “rainbow to 10”, all pairs from 0+10 to 10+0 are included, so duplicates like 5+5 only once.

Perhaps the left column is for first addend increasing, right for decreasing.

Standard order:

Left:
0 + 10
1 + 9
2 + 8
3 + 7
4 + 6
5 + 5

Right:
6 + 4
7 + 3
8 + 2
9 + 1
10 + 0

But in the given right column, it starts with ○ + 5 =10, which would be 5+5, but 5+5 is already on left.

This is confusing. Let me instead solve each equation as given, assuming that when both blanks are present, we fill with the natural pair in sequence.

Since the worksheet is called “Rainbow to 10”, and typically teaches complements to 10, I’ll assume the intended answers are the standard pairs.

Let me list all equations with solutions:

From left column as written:

Equation A: 0 + ? = 10 → 10
Equation B: ? + ? = 10 → Let's say 1 and 9 (as next pair)
Equation C: ? + 8 = 10 → 2
Equation D: 3 + ? = 10 → 7
Equation E: ? + ? = 10 → 4 and 6
Equation F: 5 + ? = 10 → 5

From right column:

Equation G: ? + 5 = 10 → 5
Equation H: 6 + ? = 10 → 4
Equation I: ? + 3 = 10 → 7
Equation J: 9 + ? = 10 → 1
Equation K: 10 + ? = 10 → 0

Now, notice that some answers repeat, like 5, 7, 4, etc., which is fine because different equations.

But for Equation B and E, where both blanks are empty, we need to choose numbers that add to 10. Since it's a learning sheet, likely they want the sequential pairs.

To avoid confusion, let's fill based on the most logical completion:

For left column:

- Row 1: 0 + 10 = 10
- Row 2: 1 + 9 = 10 (so first blank 1, second 9)
- Row 3: 2 + 8 = 10
- Row 4: 3 + 7 = 10
- Row 5: 4 + 6 = 10 (first blank 4, second 6)
- Row 6: 5 + 5 = 10

For right column:

- Row 1: 5 + 5 = 10 → but 5+5 is already used? Or perhaps it's 5+5 again? Unlikely. Wait, the first right equation is ○ + 5 =10, which is the same as 5+5, but maybe it's intended to be different.

Perhaps the right column is meant to be:

○ + 5 =10 → 5
6 + ○ =10 → 4
○ + 3 =10 → 7
9 + ○ =10 → 1
10 + ○ =10 → 0

And the left column has the other pairs.

But then we have 5+5 appearing twice? That might be a design flaw, or perhaps it's intentional for practice.

Another possibility: in the left column, the second row "○ + ○ =10" might be meant to be "1 + 9", and the fifth row "○ + ○ =10" might be "4 + 6", as I had.

Similarly, on right, "○ + 5 =10" is 5, which is fine.

So let's finalize the answers as per standard complement pairs:

Left column answers (filling blanks):

1. 0 + 10 = 10
2. 1 + 9 = 10
3. 2 + 8 = 10
4. 3 + 7 = 10
5. 4 + 6 = 10
6. 5 + 5 = 10

Right column answers:

1. 5 + 5 = 10
2. 6 + 4 = 10
3. 7 + 3 = 10
4. 9 + 1 = 10
5. 10 + 0 = 10

Note that 5+5 appears in left row 6 and right row 1 — this might be redundant, but mathematically correct. Perhaps the worksheet has a typo, but for solving, we'll go with this.

To confirm, let's list all sums:

Left:
0+10=10 ✓
1+9=10 ✓
2+8=10 ✓
3+7=10 ✓
4+6=10 ✓
5+5=10 ✓

Right:
5+5=10 ✓ (duplicate, but ok)
6+4=10 ✓
7+3=10 ✓
9+1=10 ✓
10+0=10 ✓

All correct.

So the filled-in numbers are:

Left column blanks (in order):
Row 1: 10
Row 2: 1 and 9
Row 3: 2
Row 4: 7
Row 5: 4 and 6
Row 6: 5

Right column blanks:
Row 1: 5
Row 2: 4
Row 3: 7
Row 4: 1
Row 5: 0

Now, to present the final answer, since the user wants the solution, I'll list the completed equations or the missing numbers.

But the instruction is to provide the final answer after reasoning.

Since it's a worksheet with multiple blanks, the final answer should be the values filled in.

Perhaps list them in order as they appear.

Assuming the blanks are to be filled sequentially:

Left column, top to bottom, left to right for double blanks:

Blank 1 (left row1): 10
Blank 2 (left row2 first): 1
Blank 3 (left row2 second): 9
Blank 4 (left row3): 2
Blank 5 (left row4): 7
Blank 6 (left row5 first): 4
Blank 7 (left row5 second): 6
Blank 8 (left row6): 5

Right column, top to bottom:

Blank 9 (right row1): 5
Blank 10 (right row2): 4
Blank 11 (right row3): 7
Blank 12 (right row4): 1
Blank 13 (right row5): 0

But that's 13 blanks, while there are 11 equations — some equations have two blanks.

Total blanks:
- Left: row1:1, row2:2, row3:1, row4:1, row5:2, row6:1 → 8 blanks
- Right: row1:1, row2:1, row3:1, row4:1, row5:1 → 5 blanks
Total 13 blanks.

But in reality, for the purpose of this task, since it's "solve the problem", and the problem is to fill in the blanks to make 10, the final answer can be the completed set.

However, to keep it simple, I'll provide the missing numbers in the order they appear in the worksheet, assuming standard reading order.

Final Answer: The missing numbers are: 10, 1, 9, 2, 7, 4, 6, 5, 5, 4, 7, 1, 0

But let's verify with the equations:

After filling:

Left:
0 + 10 = 10
1 + 9 = 10
2 + 8 = 10
3 + 7 = 10
4 + 6 = 10
5 + 5 = 10

Right:
5 + 5 = 10
6 + 4 = 10
7 + 3 = 10
9 + 1 = 10
10 + 0 = 10

All correct.

So the sequence of filled numbers (reading left column top to bottom, then right column top to bottom, and for double-blank rows, left to right) is:

10, 1, 9, 2, 7, 4, 6, 5, 5, 4, 7, 1, 0

But perhaps the worksheet expects only the single blanks filled, and for double blanks, it's understood.

To match the format, I think the best is to state the completed equations or list the answers per row.

Since the user might expect the values for each blank, I'll go with the list.

Final Answer: 10, 1, 9, 2, 7, 4, 6, 5, 5, 4, 7, 1, 0