Hundreds Chart Printables -Worksheets Library - Free Printable

Let's solve each of these 100s Chart Puzzles step by step. These puzzles are based on the 100s chart, where numbers go from 1 to 100 in order, with each row containing 10 numbers.

For example:
```
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
...
91 92 93 94 95 96 97 98 99 100
```

In this chart:
- Moving right = +1
- Moving left = -1
- Moving down = +10
- Moving up = -10

We'll use this logic to fill in the missing numbers in each puzzle.

---

🔹 Puzzle 1 (Top-left)

Shape:
```
[ ] [ ]
[ ]
[23]
```

This is a diagonal pattern going down-right.

We know 23 is at the bottom-right.

Work backward:

- The square above 23: 23 - 10 = 13
- The square above that: 13 - 10 = 3
- The square to the left of 3: 3 - 1 = 2

But wait — the shape has two squares above the top one? Let's map it clearly.

From the diagram:
```
A B
C
D=23
```

So:
- D = 23
- C is directly above D → C = 23 - 10 = 13
- B is above C → B = 13 - 10 = 3
- A is to the left of B → A = 3 - 1 = 2

So the filled puzzle:
```
[2] [3]
[13]
[23]
```

✔ Answer: 2, 3, 13

---

🔹 Puzzle 2 (Top-right)

Shape:
```
[ ][ ][ ]
[65]
[ ][ ][ ]
```

This is a cross shape centered on 65.

So:
- 65 is in the center.
- Above: 65 - 10 = 55
- Below: 65 + 10 = 75
- Left: 65 - 1 = 64
- Right: 65 + 1 = 66

Now fill in the grid:
```
[55][56][57]
[65]
[75][76][77]
```

Wait — but only three boxes per row. The shape shows:
- Top row: three boxes
- Middle: one box (65)
- Bottom: three boxes

So:
- Top row: 55, 56, 57
- Middle: 65
- Bottom: 75, 76, 77

But let’s verify positions:

- 65 is in the middle of the second row.
- So top row: 55, 56, 57 (same column as 65 is 56, but wait — 65 is in the middle column.

Actually, 65 is in column 5 (since 60–69 are columns 1–10).

So:
- Top row: 55 (above 65), 56 (above 66), 57 (above 67) → so the top row is 55, 56, 57
- Middle: 65
- Bottom: 75, 76, 77

Yes, that matches.

So filled:
```
[55][56][57]
[65]
[75][76][77]
```

✔ Answer: 55, 56, 57, 75, 76, 77

---

🔹 Puzzle 3 (Middle-left)

Shape:
```
[ ]
[ ]
[33]
[ ]
```

It's a diagonal going down-right.

We have 33 in the third position.

Let’s number them:
- A → B → C=33 → D

Each step is +10 going down-right.

So:
- From 33, go up-left: subtract 10 → 23
- Then again: 13
- Then: 3

So:
- First box: 3
- Second: 13
- Third: 23
- Fourth: 33

Wait — no. The shape is:
```
[ ] ← A
[ ] ← B
[33] ← C
[ ] ← D
```

So:
- C = 33
- B is above and to the left → B = 33 - 10 = 23
- A is above and to the left of B → A = 23 - 10 = 13
- D is below and to the right of C → D = 33 + 10 = 43

So:
```
[13]
[23]
[33]
[43]
```

✔ Answer: 13, 23, 43

---

🔹 Puzzle 4 (Middle-right)

Shape:
```
[ ]
[74] [ ] [77]
[ ]
```

Looks like:
```
[ ] ← A
[74] [B] [77] ← C
[ ] ← D
```

We know:
- 74 and 77 are in the same row.
- 74 → 75 → 76 → 77, so B = 75

Now:
- A is above 74 → 74 - 10 = 64
- D is below 74 → 74 + 10 = 84

So:
```
[64]
[74] [75] [77]
[84]
```

Wait — but 77 is in the same row as 74 and 75, so yes.

But the shape has only one box above and below 74, not 77.

So:
- A = 64
- B = 75
- D = 84

And the empty box between 74 and 77 is 75.

So final:
```
[64]
[74] [75] [77]
[84]
```

✔ Answer: 64, 75, 84

---

🔹 Puzzle 5 (Bottom-left)

Shape:
```
[ ][ ][ ][34]
[ ]
```

So:
- Four boxes in a row: first three blank, last is 34
- One box below the fourth

So:
- Row: A B C [34]
- Below 34: D

Now:
- 34 is in the row, so:
- C = 33
- B = 32
- A = 31
- D is below 34 → 34 + 10 = 44

So:
```
[31][32][33][34]
[44]
```

✔ Answer: 31, 32, 33, 44

---

🔹 Puzzle 6 (Bottom-right)

Shape:
```
[54]
[ ][ ][ ][ ]
[ ]
```

So:
- One box at the top-right: 54
- Then four boxes below it in a row
- One box below the first of those

Let’s map:

```
[54]
[A][B][C][D]
[E]
```

Now:
- 54 is in the top-right
- So the row below must be aligned: 54 is above D → D = 54 + 10 = 64
- Then:
- C = 63
- B = 62
- A = 61
- E is below A → E = 61 + 10 = 71

So:
```
[54]
[61][62][63][64]
[71]
```

✔ Answer: 61, 62, 63, 64, 71

---

✔ Final Answers for Each Puzzle:

1. Top-left:
```
[2] [3]
[13]
[23]
```

2. Top-right:
```
[55][56][57]
[65]
[75][76][77]
```

3. Middle-left:
```
[13]
[23]
[33]
[43]
```

4. Middle-right:
```
[64]
[74] [75] [77]
[84]
```

5. Bottom-left:
```
[31][32][33][34]
[44]
```

6. Bottom-right:
```
[54]
[61][62][63][64]
[71]
```

---

📝 Summary:

All puzzles use the 100s chart logic:
- Right: +1
- Left: -1
- Down: +10
- Up: -10

By using known numbers and applying these rules, we can fill in all missing values.

Let me know if you'd like a printable version or visual diagram!