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.

Working up-left from 23:

- The square above 23 is 13 (23 - 10)
- The square above that is 3 (13 - 10)
- The top-left square is 1 (3 - 2? Wait — let’s look carefully.)

Wait — the shape is:
```
[ ] [ ]
[ ]
[23]
```

So:
- The bottom box is 23.
- Above it is one box → that must be 13 (23 - 10).
- Above that is another box → 3 (13 - 10).
- To the left of 3 is 1 (3 - 2? No — not adjacent).

Wait — actually, the layout is:
```
Box A Box B
Box C
Box D = 23
```

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

Yes! So:
- A: 1
- B: 3
- C: 13
- D: 23

✔ Final answer for Puzzle 1:
```
[1] [3]
[13]
[23]
```

---

🔹 Puzzle 2 (Top-right)

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

It's a cross shape centered on 65.

So:
- 65 is in the middle.
- Above it: 55 (65 - 10)
- Below it: 75 (65 + 10)
- Left of it: 64 (65 - 1)
- Right of it: 66 (65 + 1)

Now, the grid has:
```
[ ][ ][ ]
[65]
[ ][ ][ ]
```

So:
- Top row: leftmost box is 53, middle is 54, right is 55?
Wait — no. Let's map it properly.

The shape is:
- Three boxes in top row
- One box below center (65) → that's 75
- Three boxes in bottom row

But only the center box (65) is filled.

From the diagram:
```
[ ][ ][ ]
[65]
[ ][ ][ ]
```

So:
- The box above 65 is 55
- The box below 65 is 75
- The box to the left of 65 is 64
- The box to the right of 65 is 66

But the top and bottom rows have three boxes each.

So:
- Top row: [53][54][55] → because 55 is above 65
- Bottom row: [73][74][75] → because 75 is below 65

Wait — but the shape shows:
```
[ ][ ][ ]
[65]
[ ][ ][ ]
```

So:
- The top row has three boxes: the middle one is above 65 → so it's 55
- Then left of 55 is 54, right is 56
- Similarly, bottom row: middle is 75, left is 74, right is 76

But 65 is in the center, so:
- The box directly above 65 is 55
- The box directly below 65 is 75
- The box to the left of 65 is 64
- The box to the right of 65 is 66

But the diagram doesn't show those side boxes. Only the vertical line?

Wait — looking at the image again:

It’s:
```
[ ][ ][ ]
[65]
[ ][ ][ ]
```

So:
- The center box is 65
- The top-middle box is above it → 55
- The bottom-middle box is below it → 75
- The top-left, top-right, bottom-left, bottom-right are also present.

But only the middle of the top and bottom rows are aligned vertically.

So:
- Top row: [54][55][56]
- Middle: [64][65][66]
- Bottom: [74][75][76]

But the puzzle only shows:
- Top row: three boxes
- Middle: one box (65)
- Bottom row: three boxes

So:
- Top row: left = 54, middle = 55, right = 56
- Bottom row: left = 74, middle = 75, right = 76

But 65 is only in the center, so we need to fill:
- Top row: [54][55][56]
- Bottom row: [74][75][76]

Wait — but the middle column is:
- Top: 55
- Middle: 65
- Bottom: 75

And the top row is horizontal: 54, 55, 56

So yes!

✔ Puzzle 2:
```
[54][55][56]
[65]
[74][75][76]
```

---

🔹 Puzzle 3 (Middle-left)

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

Diagonal pattern going down-right.

We know 33 is in the third position.

So:
- The box below 33 is 43 (33 + 10)
- The box above 33 is 23 (33 - 10)
- The box above that is 13 (23 - 10)
- The top box is 3? Wait — let’s map:

Layout:
```
[ A ]
[ B ]
[33]
[ C ]
```

So:
- B is above 33 → 23
- A is above B → 13
- C is below 33 → 43

So:
- A: 13
- B: 23
- C: 43

Wait — but 33 is in the third box, and the first box is A, then B, then 33, then C

So:
- A: ?
- B: ?
- 33
- C: ?

From 33:
- Up: 23 (33 - 10)
- Up again: 13 (23 - 10)
- Up again: 3 (13 - 10)

But we only have three boxes above? Wait — no:

The shape is:
```
[ ]
[ ]
[33]
[ ]
```

So:
- First box: top-left
- Second: below and right
- Third: 33
- Fourth: below and right of 33

So:
- Box 1: ? → let's call it X
- Box 2: Y → below and right of X
- Box 3: 33 → below and right of Y
- Box 4: Z → below and right of 33

So:
- From 33, moving up-left: 23 (33 - 10), then 13 (23 - 10), then 3 (13 - 10)

So:
- Box 2: 23
- Box 1: 13
- Box 4: 43 (33 + 10)

✔ So:
```
[13]
[23]
[33]
[43]
```

---

🔹 Puzzle 4 (Middle-right)

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

So:
- 74 is in the second row, left
- 77 is in the second row, right
- One box above 74
- One box below 74 and 77

Let’s label:
```
[ A ]
[74] [77]
[ B ]
```

Now:
- 74 and 77 are in the same row.
- 77 - 74 = 3 → so they are 3 apart → so there are two boxes between them?

But only two boxes shown: 74 and 77, with space between?

Wait — the diagram shows:
```
[ ]
[74] [77]
[ ]
```

So likely:
- 74 and 77 are in the same row, with a gap between them.
- But 74 and 77 differ by 3 → so if they're not adjacent, maybe there are other numbers?

Wait — perhaps the shape is:
- Top: one box
- Middle: two boxes: 74 and 77
- Bottom: one box

But 74 and 77 are not adjacent — difference is 3.

So what's the connection?

Maybe:
- 74 is in the middle row, left
- 77 is in the middle row, right
- So the middle row has: [74] [X] [77]? But only two boxes shown.

Wait — the diagram shows:
```
[ ]
[74] [77]
[ ]
```

So probably:
- The middle row has two boxes: 74 and 77, with a gap between them.
- But that would mean they’re not adjacent.

But in a 100s chart, numbers increase by 1 per step.

So 74 → 75 → 76 → 77

So 74 and 77 are 3 apart.

So if 74 is at (row, col), then 77 is at (row, col+3)

But the puzzle shows only two boxes in the middle row: 74 and 77.

So likely, the shape is:
- Top: one box above 74
- Middle: 74 and 77 (but not adjacent — so maybe not connected?)
- Bottom: one box below 74

But that doesn’t make sense.

Alternatively, maybe the shape is:
- Top: one box
- Middle: two boxes: 74 and 77, but not aligned horizontally?

Wait — let's assume it's:
```
[ A ]
[74] [77]
[ B ]
```

With:
- A is above 74 → so A = 64 (74 - 10)
- B is below 74 → so B = 84 (74 + 10)
- What about 77? It's in the same row as 74, but to the right.

So 77 is 3 more than 74 → so it's three columns to the right

But in the 100s chart, 74 is in column 4 (since 70–79), so:
- 74 → column 4
- 75 → column 5
- 76 → column 6
- 77 → column 7

So 74 and 77 are in the same row, columns 4 and 7.

So the middle row has:
- 74 (col 4)
- 77 (col 7)

But the puzzle shows only two boxes in the middle row — so likely, the only numbers to fill are:
- A: above 74 → 64
- B: below 74 → 84

But what about 77? It’s already given.

Is there a box above or below 77?

No — the shape only shows:
- One box above 74
- Two boxes in middle: 74 and 77
- One box below 74

So 77 has no connections.

But maybe the shape is:
- A is above 74
- 74 and 77 are in the same row
- B is below 74

So:
- A = 64
- B = 84

And 77 is just there — but no need to connect.

But wait — the shape might be connected via a path.

Alternatively, maybe the shape is:
```
[ A ]
[74] [77]
[ B ]
```

With:
- A is above 74 → 64
- B is below 74 → 84
- And 77 is just in the same row — but no connection needed.

But why include 77 if it's not part of the chain?

Wait — perhaps the shape is connected diagonally?

Another idea: maybe 74 and 77 are not in the same row? But the diagram shows them on the same level.

Wait — looking back at the original image:

It says:
```
[ ]
[74] [77]
[ ]
```

So likely:
- The middle row has two boxes: 74 and 77, with some spacing
- But 74 and 77 are 3 apart → so not adjacent

But in a 100s chart, they can be in the same row.

So:
- 74 → row 7, col 4
- 77 → row 7, col 7

So:
- The number between them: 75 and 76 — but not shown

But the puzzle only asks to fill in the empty boxes in the shape.

So:
- Top box: above 74 → 64
- Bottom box: below 74 → 84
- 77 is already filled

So:
- Top: 64
- Bottom: 84

But is there a box above or below 77? Not shown.

So only two empty boxes: top and bottom.

So:
- Top: 64
- Bottom: 84

✔ Puzzle 4:
```
[64]
[74] [77]
[84]
```

---

🔹 Puzzle 5 (Bottom-left)

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

So:
- Top row: four boxes, last one is 34
- One box below the third box

So:
- The top row: [A][B][C][34]
- Below C: D

Now:
- 34 is in the last box → so it's in column 4 of its row
- So the previous numbers: 31, 32, 33, 34

So:
- A = 31
- B = 32
- C = 33
- D = below C → 33 + 10 = 43

✔ So:
```
[31][32][33][34]
[43]
```

---

🔹 Puzzle 6 (Bottom-right)

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

So:
- One box at the top-right: 54
- Below it: four boxes in a row
- Below that: one box

Let’s map:
- 54 is at the top-right
- Then a row of four boxes below it
- Then one box below the first of those

But 54 is at the top-right → so it's in column 4 of its row

Then the next row has four boxes — likely starting from the same column?

But the shape shows:
```
[54]
[ ][ ][ ][ ]
[ ]
```

So:
- 54 is in the top-right corner
- Below it: a row of four boxes → likely in the same column? Or offset?

Wait — probably:
- 54 is in row 5, column 4 (since 50–59)
- Then the next row has four boxes — possibly starting from column 1?
- But the shape shows:
- Top: one box (54)
- Middle: four boxes in a row
- Bottom: one box

And the middle row is under 54 → so likely the first box of the middle row is below 54?

But 54 is in column 4 → so below it is 64 (54 + 10)

So:
- The box below 54 is 64
- But the middle row has four boxes — so maybe:
- First box: 64
- Then 65, 66, 67

Then below the first box (64) is 74 (64 + 10)

So:
- Top: 54
- Middle: [64][65][66][67]
- Bottom: [74]

But the bottom box is only one — and it's below the first of the middle row.

So:
- Bottom: 74

✔ Puzzle 6:
```
[54]
[64][65][66][67]
[74]
```

---

✔ Final Answers:

#### Puzzle 1:
```
[1] [3]
[13]
[23]
```

#### Puzzle 2:
```
[54][55][56]
[65]
[74][75][76]
```

#### Puzzle 3:
```
[13]
[23]
[33]
[43]
```

#### Puzzle 4:
```
[64]
[74] [77]
[84]
```

#### Puzzle 5:
```
[31][32][33][34]
[43]
```

#### Puzzle 6:
```
[54]
[64][65][66][67]
[74]
```

---

📝 Summary:

Each puzzle uses the 100s chart rules:
- Right: +1
- Left: -1
- Down: +10
- Up: -10

By using known numbers and applying these rules, you can fill in the blanks.

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