Subtraction Pyramid Puzzle Worksheets And Games - Free Printable
Educational worksheet: Subtraction Pyramid Puzzle Worksheets And Games. Download and print for classroom or home learning activities.
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Step-by-step solution for: Subtraction Pyramid Puzzle Worksheets And Games
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Show Answer Key & Explanations
Step-by-step solution for: Subtraction Pyramid Puzzle Worksheets And Games
This worksheet contains 6 subtraction pyramids. The rule for each pyramid is:
> Each number above is the sum of the two numbers directly below it.
But since this is a *subtraction* worksheet, we are working upwards, so to find a missing number below, you need to subtract.
---
---
## 🔢 Pyramid 1 (Top: 38)
```
38
19 ?
8 ? ?
4 4 ? ?
```
- Top: 38 = 19 + ? → ? = 38 - 19 = 19
- Next row: 19 = 8 + ? → ? = 19 - 8 = 11
- Next row: ? = ? + ? → We know left branch: 8 = 4 + 4 → correct.
- Now, the right branch: we have 11 (from above) = ? + ? → and the bottom row has 4, 4, ?, ?
Wait — let’s label positions for clarity.
Let’s denote the pyramid as:
```
A
B C
D E F
G H I J
```
Given:
- A = 38
- B = 19
- D = 8
- G = 4, H = 4
We need to find C, E, F, I, J.
From A = B + C → 38 = 19 + C → C = 19
From B = D + E → 19 = 8 + E → E = 11
From D = G + H → 8 = 4 + 4 → ✔
From C = E + F → 19 = 11 + F → F = 8
From E = H + I → 11 = 4 + I → I = 7
From F = I + J → 8 = 7 + J → J = 1
✔ So Pyramid 1 filled:
```
38
19 19
8 11 8
4 4 7 1
```
---
## 🔢 Pyramid 2 (Top: 39)
```
39
21 ?
12 ? ?
7 5 ? ?
```
Label:
```
A=39
B=21 C=?
D=12 E=? F=?
G=7 H=5 I=? J=?
```
A = B + C → 39 = 21 + C → C = 18
B = D + E → 21 = 12 + E → E = 9
D = G + H → 12 = 7 + 5 → ✔
C = E + F → 18 = 9 + F → F = 9
E = H + I → 9 = 5 + I → I = 4
F = I + J → 9 = 4 + J → J = 5
✔ Pyramid 2:
```
39
21 18
12 9 9
7 5 4 5
```
---
## 🔢 Pyramid 3 (Top: 43)
```
43
19 ?
8 ? ?
4 4 ? ?
```
Same structure as Pyramid 1.
A = 43, B = 19 → C = 43 - 19 = 24
B = 19 = 8 + E → E = 11
D = 8 = 4 + 4 → ✔
C = 24 = E + F → 24 = 11 + F → F = 13
E = 11 = H + I → 11 = 4 + I → I = 7
F = 13 = I + J → 13 = 7 + J → J = 6
✔ Pyramid 3:
```
43
19 24
8 11 13
4 4 7 6
```
---
## 🔢 Pyramid 4 (Top: 42)
```
42
22 ?
10 ? ?
4 6 ? ?
```
A = 42, B = 22 → C = 42 - 22 = 20
B = 22 = 10 + E → E = 12
D = 10 = 4 + 6 → ✔
C = 20 = E + F → 20 = 12 + F → F = 8
E = 12 = H + I → 12 = 6 + I → I = 6
F = 8 = I + J → 8 = 6 + J → J = 2
✔ Pyramid 4:
```
42
22 20
10 12 8
4 6 6 2
```
---
## 🔢 Pyramid 5 (Top: 38)
```
38
20 ?
11 ? ?
5 6 ? ?
```
A = 38, B = 20 → C = 38 - 20 = 18
B = 20 = 11 + E → E = 9
D = 11 = 5 + 6 → ✔
C = 18 = E + F → 18 = 9 + F → F = 9
E = 9 = H + I → 9 = 6 + I → I = 3
F = 9 = I + J → 9 = 3 + J → J = 6
✔ Pyramid 5:
```
38
20 18
11 9 9
5 6 3 6
```
---
## 🔢 Pyramid 6 (Top: 40)
```
40
22 ?
10 ? ?
4 6 ? ?
```
A = 40, B = 22 → C = 40 - 22 = 18
B = 22 = 10 + E → E = 12
D = 10 = 4 + 6 → ✔
C = 18 = E + F → 18 = 12 + F → F = 6
E = 12 = H + I → 12 = 6 + I → I = 6
F = 6 = I + J → 6 = 6 + J → J = 0
✔ Pyramid 6:
```
40
22 18
10 12 6
4 6 6 0
```
---
## ✔ Final Answer (Filled Pyramids):
```
38
19 19
8 11 8
4 4 7 1
```
```
39
21 18
12 9 9
7 5 4 5
```
```
43
19 24
8 11 13
4 4 7 6
```
```
42
22 20
10 12 8
4 6 6 2
```
```
38
20 18
11 9 9
5 6 3 6
```
```
40
22 18
10 12 6
4 6 6 0
```
---
📌 Summary: In each pyramid, every number is the sum of the two numbers directly beneath it. To fill in blanks, work bottom-up using subtraction.
You can now write these answers into the worksheet boxes!
> Each number above is the sum of the two numbers directly below it.
But since this is a *subtraction* worksheet, we are working upwards, so to find a missing number below, you need to subtract.
---
Let’s solve each pyramid one by one.
---
## 🔢 Pyramid 1 (Top: 38)
```
38
19 ?
8 ? ?
4 4 ? ?
```
- Top: 38 = 19 + ? → ? = 38 - 19 = 19
- Next row: 19 = 8 + ? → ? = 19 - 8 = 11
- Next row: ? = ? + ? → We know left branch: 8 = 4 + 4 → correct.
- Now, the right branch: we have 11 (from above) = ? + ? → and the bottom row has 4, 4, ?, ?
Wait — let’s label positions for clarity.
Let’s denote the pyramid as:
```
A
B C
D E F
G H I J
```
Given:
- A = 38
- B = 19
- D = 8
- G = 4, H = 4
We need to find C, E, F, I, J.
From A = B + C → 38 = 19 + C → C = 19
From B = D + E → 19 = 8 + E → E = 11
From D = G + H → 8 = 4 + 4 → ✔
From C = E + F → 19 = 11 + F → F = 8
From E = H + I → 11 = 4 + I → I = 7
From F = I + J → 8 = 7 + J → J = 1
✔ So Pyramid 1 filled:
```
38
19 19
8 11 8
4 4 7 1
```
---
## 🔢 Pyramid 2 (Top: 39)
```
39
21 ?
12 ? ?
7 5 ? ?
```
Label:
```
A=39
B=21 C=?
D=12 E=? F=?
G=7 H=5 I=? J=?
```
A = B + C → 39 = 21 + C → C = 18
B = D + E → 21 = 12 + E → E = 9
D = G + H → 12 = 7 + 5 → ✔
C = E + F → 18 = 9 + F → F = 9
E = H + I → 9 = 5 + I → I = 4
F = I + J → 9 = 4 + J → J = 5
✔ Pyramid 2:
```
39
21 18
12 9 9
7 5 4 5
```
---
## 🔢 Pyramid 3 (Top: 43)
```
43
19 ?
8 ? ?
4 4 ? ?
```
Same structure as Pyramid 1.
A = 43, B = 19 → C = 43 - 19 = 24
B = 19 = 8 + E → E = 11
D = 8 = 4 + 4 → ✔
C = 24 = E + F → 24 = 11 + F → F = 13
E = 11 = H + I → 11 = 4 + I → I = 7
F = 13 = I + J → 13 = 7 + J → J = 6
✔ Pyramid 3:
```
43
19 24
8 11 13
4 4 7 6
```
---
## 🔢 Pyramid 4 (Top: 42)
```
42
22 ?
10 ? ?
4 6 ? ?
```
A = 42, B = 22 → C = 42 - 22 = 20
B = 22 = 10 + E → E = 12
D = 10 = 4 + 6 → ✔
C = 20 = E + F → 20 = 12 + F → F = 8
E = 12 = H + I → 12 = 6 + I → I = 6
F = 8 = I + J → 8 = 6 + J → J = 2
✔ Pyramid 4:
```
42
22 20
10 12 8
4 6 6 2
```
---
## 🔢 Pyramid 5 (Top: 38)
```
38
20 ?
11 ? ?
5 6 ? ?
```
A = 38, B = 20 → C = 38 - 20 = 18
B = 20 = 11 + E → E = 9
D = 11 = 5 + 6 → ✔
C = 18 = E + F → 18 = 9 + F → F = 9
E = 9 = H + I → 9 = 6 + I → I = 3
F = 9 = I + J → 9 = 3 + J → J = 6
✔ Pyramid 5:
```
38
20 18
11 9 9
5 6 3 6
```
---
## 🔢 Pyramid 6 (Top: 40)
```
40
22 ?
10 ? ?
4 6 ? ?
```
A = 40, B = 22 → C = 40 - 22 = 18
B = 22 = 10 + E → E = 12
D = 10 = 4 + 6 → ✔
C = 18 = E + F → 18 = 12 + F → F = 6
E = 12 = H + I → 12 = 6 + I → I = 6
F = 6 = I + J → 6 = 6 + J → J = 0
✔ Pyramid 6:
```
40
22 18
10 12 6
4 6 6 0
```
---
## ✔ Final Answer (Filled Pyramids):
Pyramid 1:
```
38
19 19
8 11 8
4 4 7 1
```
Pyramid 2:
```
39
21 18
12 9 9
7 5 4 5
```
Pyramid 3:
```
43
19 24
8 11 13
4 4 7 6
```
Pyramid 4:
```
42
22 20
10 12 8
4 6 6 2
```
Pyramid 5:
```
38
20 18
11 9 9
5 6 3 6
```
Pyramid 6:
```
40
22 18
10 12 6
4 6 6 0
```
---
📌 Summary: In each pyramid, every number is the sum of the two numbers directly beneath it. To fill in blanks, work bottom-up using subtraction.
You can now write these answers into the worksheet boxes!
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet puzzles.
