Math Number Pyramid Puzzle Game + Worksheets - Free Printable
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Step-by-step solution for: Math Number Pyramid Puzzle Game + Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Math Number Pyramid Puzzle Game + Worksheets
Let's solve each of these addition pyramid puzzles step by step.
In an addition pyramid:
- Each number in a higher row is the sum of the two numbers directly below it.
- We start from the bottom and work our way up, adding adjacent numbers to fill in the blanks.
We'll go through each pyramid one at a time.
---
```
[ ]
[ ] [ ]
[20] [ ] [ ]
[10][10][5][20]
```
#### Step 1: Fill the second row from bottom
- The third row (from bottom) has three boxes. The first one is given as 20, so we need to find the other two.
But wait — actually, the structure is:
- Bottom row: 10, 10, 5, 20 → four numbers
- Next row: 3 numbers (20, ?, ?)
- Then: 2 numbers
- Top: 1 number
So:
Row 4 (bottom): 10, 10, 5, 20
Row 3: 20, ?, ?
Row 2: ?, ?
Row 1 (top): ?
Let’s compute upward.
#### Row 3 (just above bottom):
- First box: 10 + 10 = 20 ✔ (already given)
- Second box: 10 + 5 = 15
- Third box: 5 + 20 = 25
So Row 3: 20, 15, 25
#### Row 2:
- First box: 20 + 15 = 35
- Second box: 15 + 25 = 40
#### Row 1 (top):
- 35 + 40 = 75
✔ So top number = 75
---
```
[ ]
[ ] [ ]
[26] [ ] [ ]
[14][12][7][25]
```
Bottom row: 14, 12, 7, 25
#### Row 3:
- 14 + 12 = 26 ✔ (given)
- 12 + 7 = 19
- 7 + 25 = 32
Row 3: 26, 19, 32
#### Row 2:
- 26 + 19 = 45
- 19 + 32 = 51
#### Row 1:
- 45 + 51 = 96
✔ Top = 96
---
```
[ ]
[ ] [ ]
[21] [ ] [ ]
[9][12][11][6]
```
Bottom: 9, 12, 11, 6
#### Row 3:
- 9 + 12 = 21 ✔ (given)
- 12 + 11 = 23
- 11 + 6 = 17
Row 3: 21, 23, 17
#### Row 2:
- 21 + 23 = 44
- 23 + 17 = 40
#### Row 1:
- 44 + 40 = 84
✔ Top = 84
---
```
[ ]
[ ] [ ]
[18] [ ] [ ]
[10][8][11][4]
```
Bottom: 10, 8, 11, 4
#### Row 3:
- 10 + 8 = 18 ✔ (given)
- 8 + 11 = 19
- 11 + 4 = 15
Row 3: 18, 19, 15
#### Row 2:
- 18 + 19 = 37
- 19 + 15 = 34
#### Row 1:
- 37 + 34 = 71
✔ Top = 71
---
```
[ ]
[ ] [ ]
[18] [ ] [ ]
[7][11][8][22]
```
Bottom: 7, 11, 8, 22
#### Row 3:
- 7 + 11 = 18 ✔ (given)
- 11 + 8 = 19
- 8 + 22 = 30
Row 3: 18, 19, 30
#### Row 2:
- 18 + 19 = 37
- 19 + 30 = 49
#### Row 1:
- 37 + 49 = 86
✔ Top = 86
---
```
[ ]
[ ] [ ]
[23] [ ] [ ]
[13][10][5][17]
```
Bottom: 13, 10, 5, 17
#### Row 3:
- 13 + 10 = 23 ✔ (given)
- 10 + 5 = 15
- 5 + 17 = 22
Row 3: 23, 15, 22
#### Row 2:
- 23 + 15 = 38
- 15 + 22 = 37
#### Row 1:
- 38 + 37 = 75
✔ Top = 75
---
| Pyramid | Top Number |
|--------|------------|
| 1 | 75 |
| 2 | 96 |
| 3 | 84 |
| 4 | 71 |
| 5 | 86 |
| 6 | 75 |
---
You can now fill in all the blank boxes using the same logic. For example:
Pyramid 1:
```
[75]
[35][40]
[20][15][25]
[10][10][5][20]
```
And so on for others.
Let me know if you want the full filled-in version of all pyramids!
In an addition pyramid:
- Each number in a higher row is the sum of the two numbers directly below it.
- We start from the bottom and work our way up, adding adjacent numbers to fill in the blanks.
We'll go through each pyramid one at a time.
---
🔷 Pyramid 1
```
[ ]
[ ] [ ]
[20] [ ] [ ]
[10][10][5][20]
```
#### Step 1: Fill the second row from bottom
- The third row (from bottom) has three boxes. The first one is given as 20, so we need to find the other two.
But wait — actually, the structure is:
- Bottom row: 10, 10, 5, 20 → four numbers
- Next row: 3 numbers (20, ?, ?)
- Then: 2 numbers
- Top: 1 number
So:
Row 4 (bottom): 10, 10, 5, 20
Row 3: 20, ?, ?
Row 2: ?, ?
Row 1 (top): ?
Let’s compute upward.
#### Row 3 (just above bottom):
- First box: 10 + 10 = 20 ✔ (already given)
- Second box: 10 + 5 = 15
- Third box: 5 + 20 = 25
So Row 3: 20, 15, 25
#### Row 2:
- First box: 20 + 15 = 35
- Second box: 15 + 25 = 40
#### Row 1 (top):
- 35 + 40 = 75
✔ So top number = 75
---
🔷 Pyramid 2
```
[ ]
[ ] [ ]
[26] [ ] [ ]
[14][12][7][25]
```
Bottom row: 14, 12, 7, 25
#### Row 3:
- 14 + 12 = 26 ✔ (given)
- 12 + 7 = 19
- 7 + 25 = 32
Row 3: 26, 19, 32
#### Row 2:
- 26 + 19 = 45
- 19 + 32 = 51
#### Row 1:
- 45 + 51 = 96
✔ Top = 96
---
🔷 Pyramid 3
```
[ ]
[ ] [ ]
[21] [ ] [ ]
[9][12][11][6]
```
Bottom: 9, 12, 11, 6
#### Row 3:
- 9 + 12 = 21 ✔ (given)
- 12 + 11 = 23
- 11 + 6 = 17
Row 3: 21, 23, 17
#### Row 2:
- 21 + 23 = 44
- 23 + 17 = 40
#### Row 1:
- 44 + 40 = 84
✔ Top = 84
---
🔷 Pyramid 4
```
[ ]
[ ] [ ]
[18] [ ] [ ]
[10][8][11][4]
```
Bottom: 10, 8, 11, 4
#### Row 3:
- 10 + 8 = 18 ✔ (given)
- 8 + 11 = 19
- 11 + 4 = 15
Row 3: 18, 19, 15
#### Row 2:
- 18 + 19 = 37
- 19 + 15 = 34
#### Row 1:
- 37 + 34 = 71
✔ Top = 71
---
🔷 Pyramid 5
```
[ ]
[ ] [ ]
[18] [ ] [ ]
[7][11][8][22]
```
Bottom: 7, 11, 8, 22
#### Row 3:
- 7 + 11 = 18 ✔ (given)
- 11 + 8 = 19
- 8 + 22 = 30
Row 3: 18, 19, 30
#### Row 2:
- 18 + 19 = 37
- 19 + 30 = 49
#### Row 1:
- 37 + 49 = 86
✔ Top = 86
---
🔷 Pyramid 6
```
[ ]
[ ] [ ]
[23] [ ] [ ]
[13][10][5][17]
```
Bottom: 13, 10, 5, 17
#### Row 3:
- 13 + 10 = 23 ✔ (given)
- 10 + 5 = 15
- 5 + 17 = 22
Row 3: 23, 15, 22
#### Row 2:
- 23 + 15 = 38
- 15 + 22 = 37
#### Row 1:
- 38 + 37 = 75
✔ Top = 75
---
✔ Final Answers (Top Numbers):
| Pyramid | Top Number |
|--------|------------|
| 1 | 75 |
| 2 | 96 |
| 3 | 84 |
| 4 | 71 |
| 5 | 86 |
| 6 | 75 |
---
📝 Summary:
You can now fill in all the blank boxes using the same logic. For example:
Pyramid 1:
```
[75]
[35][40]
[20][15][25]
[10][10][5][20]
```
And so on for others.
Let me know if you want the full filled-in version of all pyramids!
Parent Tip: Review the logic above to help your child master the concept of number pyramids.