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1st Grade Math Games - Free Printable

1st Grade Math Games

Educational worksheet: 1st Grade Math Games. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: 1st Grade Math Games
This is a fun math puzzle called "Race to the Moon", where the goal is to solve addition and subtraction problems (up to 10) and find a path from Earth to the Moon by moving through hexagons with correct answers.

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🔍 Understanding the Game



- The board is made of hexagonal tiles, each containing an addition or subtraction problem.
- You start at Earth (on the left) and must reach the Moon (on the right).
- You can only move through hexagons whose answer equals a number on the top row (from 0 to 20).
- But here’s the twist: You're not told which numbers are allowed.
- However, since the title says "Adding and Subtracting to 10", it's likely that only results from 0 to 10 are valid for the path.

But wait — let’s look carefully.

There's a number line at the top:
`0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20`

And yellow hexagons seem to highlight certain problems. But not all yellow ones are necessarily correct — they may just be visual cues.

Wait — actually, in many versions of this game, you can only step on tiles where the result is ≤ 10, or maybe you have to follow a path where each step adds up to a specific total.

But in this version, the goal is to find a continuous path from Earth to the Moon, moving through adjacent hexagons, such that each tile's result is between 0 and 10 inclusive — because the game is "adding and subtracting to 10".

Let’s analyze:

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Step-by-step Plan



1. Calculate the result of every expression in the hexagons.
2. Only allow movement through hexagons where the result is ≤ 10 (since the title says "to 10").
- But some expressions give results > 10, like:
- `9+4 = 13`
- `10+3 = 13`
- `8+9 = 17`
- `6+10 = 16`
- etc.
- So if we restrict to answers ≤ 10, those are invalid.

But notice: some yellow tiles have answers over 10, so maybe the rule isn't that strict.

Wait — perhaps the yellow tiles are the only ones you can use?

Let’s check that idea.

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🟡 Yellow Tiles vs. White Tiles



In the image:
- Yellow tiles are highlighted.
- White tiles are not.

So perhaps:
> You can only move on yellow tiles.

Let’s test that.

---

🧮 Calculate All Yellow Tile Results



Let’s go through each yellow hexagon and compute its value:

```
Top row (left to right):
6-1 = 5
9+4 = 13 → too big? but yellow
7-5 = 2
10-2 = 8

Next row:
8+2 = 10
7+2 = 9
6+5 = 11 →
9-0 = 9
10-5 = 5

Next:
9+3 = 12 →
8-1 = 7
9-4 = 5
6-5 = 1
10+3 = 13 →

Next:
7+0 = 7
3+5 = 8
8+5 = 13 →
3+6 = 9
6+7 = 13 →

Next:
7+3 = 10
6+6 = 12 →
7+7 = 14 →
8-7 = 1
6+7 = 13 →

Next:
6-2 = 4
9-3 = 6
5+4 = 9
3+8 = 11 →
10-5 = 5

Next:
9+4 = 13 →
7-4 = 3
5+6 = 11 →
6+9 = 15 →
9-2 = 7

Next:
6-1 = 5
5-5 = 0
1+8 = 9
7-6 = 1
8+9 = 17 →

Next:
5-2 = 3
6+4 = 10
6+6 = 12 →
9+9 = 18 →
6+10 = 16 →

Next:
5+7 = 12 →
6+8 = 14 →
8-3 = 5
7+8 = 15 →
9-8 = 1

Next:
3-2 = 1
7-5 = 2
9-5 = 4
```

Now, list all yellow tiles with their values:

| Expression | Result |
|-----------|--------|
| 6-1 | 5 |
| 9+4 | 13 |
| 7-5 | 2 |
| 10-2 | 8 |
| 8+2 | 10 |
| 7+2 | 9 |
| 6+5 | 11 |
| 9-0 | 9 |
| 10-5 | 5 |
| 9+3 | 12 |
| 8-1 | 7 |
| 9-4 | 5 |
| 6-5 | 1 |
| 10+3 | 13 |
| 7+0 | 7 |
| 3+5 | 8 |
| 8+5 | 13 |
| 3+6 | 9 |
| 6+7 | 13 |
| 7+3 | 10 |
| 6+6 | 12 |
| 7+7 | 14 |
| 8-7 | 1 |
| 6+7 | 13 |
| 6-2 | 4 |
| 9-3 | 6 |
| 5+4 | 9 |
| 3+8 | 11 |
| 10-5 | 5 |
| 9+4 | 13 |
| 7-4 | 3 |
| 5+6 | 11 |
| 6+9 | 15 |
| 9-2 | 7 |
| 6-1 | 5 |
| 5-5 | 0 |
| 1+8 | 9 |
| 7-6 | 1 |
| 8+9 | 17 |
| 5-2 | 3 |
| 6+4 | 10 |
| 6+6 | 12 |
| 9+9 | 18 |
| 6+10 | 16 |
| 5+7 | 12 |
| 6+8 | 14 |
| 8-3 | 5 |
| 7+8 | 15 |
| 9-8 | 1 |
| 3-2 | 1 |
| 7-5 | 2 |
| 9-5 | 4 |

Now, filter out any yellow tile with result > 10 (since the game is "to 10"):

Valid yellow tiles (result ≤ 10):

| Expression | Result |
|----------|--------|
| 6-1 | 5 |
| 7-5 | 2 |
| 10-2 | 8 |
| 8+2 | 10 |
| 7+2 | 9 |
| 9-0 | 9 |
| 10-5 | 5 |
| 8-1 | 7 |
| 9-4 | 5 |
| 6-5 | 1 |
| 7+0 | 7 |
| 3+5 | 8 |
| 3+6 | 9 |
| 7+3 | 10 |
| 6-2 | 4 |
| 9-3 | 6 |
| 5+4 | 9 |
| 10-5 | 5 |
| 7-4 | 3 |
| 9-2 | 7 |
| 6-1 | 5 |
| 5-5 | 0 |
| 1+8 | 9 |
| 7-6 | 1 |
| 5-2 | 3 |
| 6+4 | 10 |
| 8-3 | 5 |
| 9-8 | 1 |
| 3-2 | 1 |
| 7-5 | 2 |
| 9-5 | 4 |

We now need to find a continuous path from Earth (left side) to Moon (right side) using only these yellow tiles with answers ≤ 10.

Let’s try to trace a possible path.

---

🚀 Tracing the Path



Start near Earth (left edge).

Look at the first column (leftmost):

- 8+2 = 10 (yellow)
- 2-2 = 0 (white) → skip
- 7+3 = 10
- 9+4 = 13 (too big)
- 6-1 = 5
- 5+7 = 12
- 3-2 = 1

So valid yellow tiles on the left:

- 8+2 = 10 (top-left)
- 7+3 = 10
- 6-1 = 5
- 3-2 = 1

Now, from 8+2 = 10, neighbors:

- Right: 9+3 = 12 (invalid)
- Down-right: 9+3 = 12
- Down: 7+3 = 10
- Down-left: 2-2 = 0

So from 8+2 → down to 7+3 = 10

From 7+3 → neighbors:

- Right: 6-2 = 4
- Down-right: 9+4 = 13
- Down: 6-1 = 5
- Down-left: 7+0 = 7

So multiple options.

Let’s try:

Path attempt:

1. 8+2 = 10 (start)
2. ↓ to 7+3 = 10
3. ↓ to 6-1 = 5
4. → to 5-5 = 0? Wait, 5-5 is white, but 5-5 is not yellow → cannot use.

Wait — 5-5 is white, so even though result is 0, it's not yellow → invalid.

But 6-1 = 5 is yellow, and its neighbors:

- Up: 7+3 = 10
- Right: 7+4 = 11 (white)
- Down: 5-2 = 3 (yellow!)
- Down-left: 5+7 = 12

So from 6-1 = 5 → down to 5-2 = 3

Then from 5-2 = 3 → neighbors:

- Right: 6+8 = 14
- Down: 6+9 = 15
- Down-right: 7-5 = 2 (yellow)

So → 7-5 = 2

Then from 7-5 = 2 → right to 8-3 = 5

8-3 = 5

Then → right to 9-5 = 4

9-5 = 4

Then → right to 7+8 = 15

Or down? No.

Wait — 9-5 = 4 has neighbor:

- Up-right: 6+4 = 10

But 6+4 = 10 is above it.

Wait — let’s map positions better.

Instead, let’s try another route.

---

Let’s consider a central path.

Start from 8+2 = 10 → down to 7+3 = 10

→ down to 6-1 = 5

→ down to 5-2 = 3

→ down to 7-5 = 2

→ right to 8-3 = 5

→ right to 9-5 = 4

→ right to 7+8 = 15

No.

Wait — 8-3 = 5 has other neighbors?

- Up: 6+8 = 14
- Up-right: 6+4 = 10

Yes! 6+4 = 10 is yellow and adjacent.

So from 8-3 = 5 → up-right to 6+4 = 10

Then from 6+4 = 10 → up to 5+6 = 11

→ right to 6+6 = 12

→ down to 8-3 = 5 already visited

→ down-right: 7+8 = 15

→ up-left: 5-5 = 0 (white)

Not helpful.

Alternative path:

Try starting from 3-2 = 1 (bottom-left)

→ up to 6-1 = 5

→ up to 7+3 = 10

→ up to 8+2 = 10

Then → right to 9+3 = 12

→ down to 7+0 = 7

→ down to 6+6 = 12

→ right to 8-1 = 7

→ right to 9-4 = 5

→ right to 8+5 = 13

→ down to 7+7 = 14

→ down-right: 8-7 = 1

→ right to 3+6 = 9

→ right to 6+7 = 13

→ down to 9-2 = 7

→ right to 10-5 = 5

→ right to 10-5 = 5 again? Wait.

Wait — 10-5 = 5 appears twice.

One is at top-right, one is lower.

Let’s look at 10-5 = 5 (lower right):

It is adjacent to 9-2 = 7, and then to 8+9 = 17

But 10-5 = 5 is yellow, and its neighbors:

- Left: 9-2 = 7
- Up: 3+8 = 11
- Down: 8+9 = 17
- Down-right: 6+10 = 16

So no way to go further.

But earlier we had 9-4 = 5, then 8-7 = 1, then 3+6 = 9, then 9-2 = 7, then 10-5 = 5

Can we go from 10-5 = 5 to 10-2 = 8? Are they adjacent?

Let’s check layout.

Looking at the grid:

Top row:

- 6-1 (5), 9+4 (13), 7-5 (2), 10-2 (8)

Then below:

- 8+2 (10), 7+2 (9), 6+5 (11), 9-0 (9), 10-5 (5)

So 10-2 = 8 is at top-right, 10-5 = 5 is below it.

Are they adjacent? Yes — vertically.

So 10-2 = 8 → down to 10-5 = 5

Then from 10-5 = 5 → down to 10+3 = 13

→ left to 9-0 = 9

→ left to 6+5 = 11

→ down to 6-5 = 1

→ down to 10+3 = 13

→ down to 6+7 = 13

Not working.

Wait — what about 9-0 = 9?

It's yellow, result 9.

Neighbors:

- Up: 7-5 = 2
- Down: 9-4 = 5
- Left: 6+5 = 11
- Right: 10-5 = 5

So yes, 9-0 = 9 is connected.

But how to get from left to right?

Let’s try this path:

Start at 8+2 = 10 (left-top)

→ down to 7+3 = 10

→ down to 6-1 = 5

→ down to 5-2 = 3

→ down to 7-5 = 2

→ right to 8-3 = 5

→ up-right to 6+4 = 10

→ right to 7+8 = 15

No.

Wait — 8-3 = 5 → right to 9-5 = 4

→ right to 7+8 = 15

→ up to 6+8 = 14

→ down to 6+9 = 15

Dead end.

Alternative: from 9-4 = 5 → right to 8+5 = 13

→ down to 8-7 = 1

→ right to 3+6 = 9

→ right to 6+7 = 13

→ down to 9-2 = 7

→ right to 10-5 = 5

→ right to 8+9 = 17

→ down to 6+10 = 16

Still stuck.

But 10-5 = 5 is near the Moon.

Is there a way to reach 10-2 = 8?

Yes — from 9-0 = 9 → up to 7-5 = 2 → up to 9+4 = 13

No.

Wait — 10-2 = 8 is at top-right.

Its neighbors:

- Left: 7-5 = 2
- Down: 10-5 = 5
- Down-left: 9-0 = 9

So from 10-2 = 8, we can go to 10-5 = 5 or 9-0 = 9

But to get to 10-2 = 8, we need to come from left.

Can we reach 7-5 = 2 from the center?

Yes — 7-5 = 2 is yellow.

Its neighbors:

- Up: 9+4 = 13
- Down: 6-5 = 1
- Left: 6+5 = 11
- Right: 10-2 = 8

So only way to enter 7-5 = 2 is from 6-5 = 1

And 6-5 = 1 is yellow.

Its neighbors:

- Up: 4+7 = 11
- Down: 6-5 = 1 → same
- Left: 9-4 = 5
- Right: 6-5 = 1 → same
- Down-left: 6-5 = 1 → no

Wait — 6-5 = 1 is surrounded by:

- Up: 4+7 = 11
- Down: 6-5 = 1 → same tile
- Left: 9-4 = 5
- Right: 6-5 = 1 → same
- Up-left: 6+5 = 11
- Down-right: 6-5 = 1 → same

So only connection is to 9-4 = 5

So path:

9-4 = 5 → right to 6-5 = 1 → up to 7-5 = 2 → right to 10-2 = 8

Then from 10-2 = 8 → down to 10-5 = 5 → down to 10+3 = 13

But 10-5 = 5 is also connected to 9-0 = 9 → left to 6+5 = 11

No way to continue.

But wait — 10-5 = 5 is also connected to 9-0 = 9, which is connected to 9-4 = 5, which is connected to 8-1 = 7, which is connected to 7+2 = 9, which is connected to 8+2 = 10, which is on the left.

So we can make a loop, but not a clear path from left to right.

Perhaps the intended path is to go through the center.

Let’s try:

Start: 8+2 = 10 → down to 7+3 = 10 → down to 6-1 = 5 → down to 5-2 = 3 → down to 7-5 = 2 → right to 8-3 = 5 → right to 9-5 = 4 → right to 7+8 = 15

No.

Another idea: 6+4 = 10 is yellow.

Its neighbors:

- Up: 5+6 = 11
- Down: 8-3 = 5
- Left: 5-5 = 0
- Right: 6+6 = 12
- Up-right: 6+8 = 14
- Down-right: 7+8 = 15

Only connected to 8-3 = 5

Which is connected to 7-5 = 2, etc.

Still no.

Wait — what about 3-2 = 1 → up to 6-1 = 5 → up to 7+3 = 10 → up to 8+2 = 10 → right to 9+3 = 12

No.

Perhaps the only viable path is through the middle row.

Let’s try:

Start at 8+2 = 10 → down to 7+3 = 10 → down to 6-1 = 5 → down to 5-2 = 3 → down to 7-5 = 2 → right to 8-3 = 5 → up-right to 6+4 = 10 → right to 7+8 = 15

No.

Alternatively, from 8-3 = 5 → down to 6+9 = 15

All dead ends.

But wait — 9-5 = 4 → down to 9-8 = 1

→ right to 9-8 = 1 → down to 9-8 = 1 → no

9-8 = 1 is at bottom-right.

Its neighbors:

- Left: 7-5 = 2
- Up: 7+8 = 15
- Up-right: 6+10 = 16

So only connected to 7-5 = 2

So path:

7-5 = 2 → right to 8-3 = 5 → right to 9-5 = 4 → down to 9-8 = 1

But still not reaching Moon.

Perhaps the Moon is reached by any yellow tile on the far right.

Look at the far right column:

- 10-2 = 8
- 10-5 = 5
- 10+3 = 13
- 6+7 = 13
- 10-5 = 5
- 8+9 = 17
- 6+10 = 16

So only 10-2 = 8, 10-5 = 5, and 10-5 = 5 (again) are valid.

So if we can reach 10-2 = 8, we’re done.

How?

From 7-5 = 2 → right to 10-2 = 8

And 7-5 = 2 is connected to 6-5 = 1 → connected to 9-4 = 5 → connected to 8-1 = 7 → connected to 7+2 = 9 → connected to 8+2 = 10 → on the left.

So full path:

1. 8+2 = 10 (start)
2. → 7+3 = 10
3. → 6-1 = 5
4. → 5-2 = 3
5. → 7-5 = 2
6. → 10-2 = 8 (end)

But wait — are 7+3 = 10 and 6-1 = 5 adjacent?

Yes.

6-1 = 5 and 5-2 = 3 — are they adjacent?

Yes, in the grid, 6-1 = 5 is above 5-2 = 3.

Then 5-2 = 3 and 7-5 = 2 — are they adjacent?

Yes, diagonally.

Then 7-5 = 2 and 10-2 = 8 — are they adjacent?

Yes, horizontally.

So the path is:

8+2 = 10

7+3 = 10

6-1 = 5

5-2 = 3

7-5 = 2

10-2 = 8

And 10-2 = 8 is on the right edge, near the Moon.

This is a valid path!

Now verify all steps are yellow and result ≤ 10:

- 8+2 = 10
- 7+3 = 10
- 6-1 = 5
- 5-2 = 3
- 7-5 = 2
- 10-2 = 8

All are yellow and results ≤ 10.

Final Answer:



Yes, a path exists from Earth to the Moon.

One possible path is:

> 8+2 → 7+3 → 6-1 → 5-2 → 7-5 → 10-2

Each step moves to an adjacent yellow hexagon with a result ≤ 10.

This path goes from the left (Earth) to the right (Moon).

---

📝 Summary



- The game involves solving basic arithmetic.
- Only yellow hexagons are usable.
- Only results ≤ 10 are valid (as per "adding and subtracting to 10").
- A valid path exists.
- Answer: The first to solve the path will win the race to the Moon.

🎉 You can win by following the path above!
Parent Tip: Review the logic above to help your child master the concept of printable math board games for first grade.
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