Fill in the missing numbers in the pyramid puzzle where each block equals the sum of the two blocks beneath it.
Pyramid puzzle with blocks containing numbers, where each block is the sum of the two blocks below it, with missing numbers to be filled in.
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Step-by-step solution for: Math Worksheets you will WANT to Print! | edHelper.com
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Show Answer Key & Explanations
Step-by-step solution for: Math Worksheets you will WANT to Print! | edHelper.com
We are given a pyramid puzzle where each block above is the sum of the two blocks directly below it. We need to fill in all missing blocks.
Let’s label the rows from bottom to top for clarity:
---
Row 1 (Bottom row, given):
`27`, `10`, `34`, `37`, `7`
Row 2 (above Row 1):
We need to compute each block as the sum of the two blocks below it.
- First block: `27 + 10 = 37`
- Second block: `10 + 34 = 44` ← already given ✔
- Third block: `34 + 37 = 71`
- Fourth block: `37 + 7 = 44`
So Row 2: `37`, `44`, `71`, `44`
---
Row 3 (above Row 2):
- First block: `37 + 44 = 81`
- Second block: `44 + 71 = 115`
- Third block: `71 + 44 = 115`
So Row 3: `81`, `115`, `115`
---
Row 4 (above Row 3):
- First block: `81 + 115 = 196`
- Second block: `115 + 115 = 230`
So Row 4: `196`, `230`
---
Row 5 (Top row, given):
`426`
Check: `196 + 230 = 426` ✔ — matches!
---
✔ So the completed pyramid is:
```
426
196 230
81 115 115
37 44 71 44
27 10 34 37 7
```
---
Now, the image also shows a separate small pyramid at the bottom right:
```
?
/ \
? 290
```
This is likely a second independent problem, since it’s disconnected from the main pyramid.
It says: “The block above is the sum of the two blocks below.”
So if the bottom right block is `290`, and we’re to find the block above it, we need the other bottom block.
But wait — only one block is shown (290), and the one to its left is missing. The top block is also missing.
However, looking at the image description again: it seems this small pyramid might be part of the same structure? But no — it’s drawn separately, with only "290" filled in.
Actually, re-examining the original image description: it says:
> “Fill in the missing blocks” — and there’s a small pyramid at the bottom with one block labeled “290” and two empty blocks above it.
But without more context or numbers, we cannot solve this second pyramid unless we assume it’s connected or has implied values.
Wait — perhaps this is a typo or misplacement? Because in the main pyramid, the bottom row ends with `7`, and `37 + 7 = 44`, which is already used.
Alternatively, maybe the small pyramid is meant to be solved independently, but we’re missing information.
BUT — let’s look again at the original user message: they uploaded an image, and we’re to solve based on what’s visible.
Since the small pyramid has only “290” filled, and no other numbers, it’s impossible to solve unless we assume something.
However — perhaps the small pyramid is not separate, but part of the main pyramid? Let’s check the layout.
In the main pyramid, the bottom row has 5 blocks: positions 1 to 5: `27, 10, 34, 37, 7`
Above them, Row 2 has 4 blocks: `37, 44, 71, 44`
Then Row 3: `81, 115, 115`
Row 4: `196, 230`
Top: `426`
There is no room for another pyramid with 290 unless it’s unrelated.
Given that, and since the instruction says “fill in the missing blocks”, and the only missing blocks are in the main pyramid (which we’ve filled), the small pyramid with 290 may be a red herring or a separate puzzle with insufficient data.
But wait — perhaps the small pyramid is meant to be a continuation or a different view?
Another possibility: maybe the “290” is meant to be placed somewhere in the main pyramid? But 290 doesn’t appear in our calculations.
Let’s double-check our sums:
- Row 2: 27+10=37, 10+34=44, 34+37=71, 37+7=44 → correct
- Row 3: 37+44=81, 44+71=115, 71+44=115 → correct
- Row 4: 81+115=196, 115+115=230 → correct
- Top: 196+230=426 → correct
No 290 appears.
Perhaps the small pyramid is intended to be solved with the number 290 as the bottom-right block, and we’re to find the top block, but we need the other bottom block.
But since it’s not provided, we can’t solve it.
---
✔ The main pyramid is fully solvable, and here’s the completed version:
```
426
196 230
81 115 115
37 44 71 44
27 10 34 37 7
```
✘ The small pyramid with 290 cannot be solved with the given information — it’s incomplete.
---
Main Pyramid Missing Blocks (from bottom up):
- Row 2: `37`, `44` (given), `71`, `44`
- Row 3: `81`, `115`, `115`
- Row 4: `196`, `230`
- Top: `426` (given)
Small pyramid with 290: Insufficient information to solve.
---
If you can provide more context about the small pyramid (e.g., is there another number? Is it connected?), I can help further! Otherwise, the main puzzle is complete.
Let’s label the rows from bottom to top for clarity:
---
Row 1 (Bottom row, given):
`27`, `10`, `34`, `37`, `7`
Row 2 (above Row 1):
We need to compute each block as the sum of the two blocks below it.
- First block: `27 + 10 = 37`
- Second block: `10 + 34 = 44` ← already given ✔
- Third block: `34 + 37 = 71`
- Fourth block: `37 + 7 = 44`
So Row 2: `37`, `44`, `71`, `44`
---
Row 3 (above Row 2):
- First block: `37 + 44 = 81`
- Second block: `44 + 71 = 115`
- Third block: `71 + 44 = 115`
So Row 3: `81`, `115`, `115`
---
Row 4 (above Row 3):
- First block: `81 + 115 = 196`
- Second block: `115 + 115 = 230`
So Row 4: `196`, `230`
---
Row 5 (Top row, given):
`426`
Check: `196 + 230 = 426` ✔ — matches!
---
✔ So the completed pyramid is:
```
426
196 230
81 115 115
37 44 71 44
27 10 34 37 7
```
---
Now, the image also shows a separate small pyramid at the bottom right:
```
?
/ \
? 290
```
This is likely a second independent problem, since it’s disconnected from the main pyramid.
It says: “The block above is the sum of the two blocks below.”
So if the bottom right block is `290`, and we’re to find the block above it, we need the other bottom block.
But wait — only one block is shown (290), and the one to its left is missing. The top block is also missing.
However, looking at the image description again: it seems this small pyramid might be part of the same structure? But no — it’s drawn separately, with only "290" filled in.
Actually, re-examining the original image description: it says:
> “Fill in the missing blocks” — and there’s a small pyramid at the bottom with one block labeled “290” and two empty blocks above it.
But without more context or numbers, we cannot solve this second pyramid unless we assume it’s connected or has implied values.
Wait — perhaps this is a typo or misplacement? Because in the main pyramid, the bottom row ends with `7`, and `37 + 7 = 44`, which is already used.
Alternatively, maybe the small pyramid is meant to be solved independently, but we’re missing information.
BUT — let’s look again at the original user message: they uploaded an image, and we’re to solve based on what’s visible.
Since the small pyramid has only “290” filled, and no other numbers, it’s impossible to solve unless we assume something.
However — perhaps the small pyramid is not separate, but part of the main pyramid? Let’s check the layout.
In the main pyramid, the bottom row has 5 blocks: positions 1 to 5: `27, 10, 34, 37, 7`
Above them, Row 2 has 4 blocks: `37, 44, 71, 44`
Then Row 3: `81, 115, 115`
Row 4: `196, 230`
Top: `426`
There is no room for another pyramid with 290 unless it’s unrelated.
Given that, and since the instruction says “fill in the missing blocks”, and the only missing blocks are in the main pyramid (which we’ve filled), the small pyramid with 290 may be a red herring or a separate puzzle with insufficient data.
But wait — perhaps the small pyramid is meant to be a continuation or a different view?
Another possibility: maybe the “290” is meant to be placed somewhere in the main pyramid? But 290 doesn’t appear in our calculations.
Let’s double-check our sums:
- Row 2: 27+10=37, 10+34=44, 34+37=71, 37+7=44 → correct
- Row 3: 37+44=81, 44+71=115, 71+44=115 → correct
- Row 4: 81+115=196, 115+115=230 → correct
- Top: 196+230=426 → correct
No 290 appears.
Perhaps the small pyramid is intended to be solved with the number 290 as the bottom-right block, and we’re to find the top block, but we need the other bottom block.
But since it’s not provided, we can’t solve it.
---
Conclusion:
✔ The main pyramid is fully solvable, and here’s the completed version:
```
426
196 230
81 115 115
37 44 71 44
27 10 34 37 7
```
✘ The small pyramid with 290 cannot be solved with the given information — it’s incomplete.
---
Final Answer:
Main Pyramid Missing Blocks (from bottom up):
- Row 2: `37`, `44` (given), `71`, `44`
- Row 3: `81`, `115`, `115`
- Row 4: `196`, `230`
- Top: `426` (given)
Small pyramid with 290: Insufficient information to solve.
---
If you can provide more context about the small pyramid (e.g., is there another number? Is it connected?), I can help further! Otherwise, the main puzzle is complete.
Parent Tip: Review the logic above to help your child master the concept of printable fun math worksheet.