Subtract to Complete the Number Pyramid - Math Worksheets ... - Free Printable

Let's solve both number pyramids step by step. The rule is: each number in a box is the sum of the two numbers directly below it.

---

🔷 Pyramid 1

We are given:

```
79
36 43
16 ? 23
10 ? ? 9
```

We need to fill in the missing numbers.

---

#### Step 1: Find the missing number in the third row (between 16 and 23)

We know:
- The box above 16 and the unknown is 36
- So:
$ 16 + x = 36 $ → $ x = 36 - 16 = 20 $

So the missing number between 16 and 23 is 20

Now the third row is:
`16`, `20`, `23`

---

#### Step 2: Use this to find the bottom row

We now have:

```
79
36 43
16 20 23
10 ? ? 9
```

Now, look at the fourth row:

- First box: 10
- Second box: ?
- Third box: ?
- Fourth box: 9

Now use the third row:

- The box above 10 and the second box is 16
So: $ 10 + x = 16 $ → $ x = 6 $

So the second box in the bottom row is 6

- The next box in the third row is 20, which is the sum of the second and third boxes in the bottom row:
$ x + y = 20 $
We already found the second box is 6 → $ 6 + y = 20 $ → $ y = 14 $

So the third box in the bottom row is 14

- Now check the last one: 23 is the sum of the third and fourth boxes in the bottom row:
$ 14 + 9 = 23 $ ✔ Correct!

So the bottom row is: 10, 6, 14, 9

✔ All values check out.

---

✔ Pyramid 1 Final Answer:

```
79
36 43
16 20 23
10 6 14 9
```

---

🔷 Pyramid 2

Given:

```
93
? 52
? 23 ?
? 11 12 ?
```

We need to fill in all missing numbers.

---

#### Step 1: Use the top number

Top number is 93, which is the sum of the two numbers below it:
- Left box: ?
- Right box: 52
So: $ x + 52 = 93 $ → $ x = 93 - 52 = 41 $

So the left box in the second row is 41

Now second row: 41, 52

---

#### Step 2: Use second row to find third row

Third row has three boxes: ?, 23, ?

We know:
- 41 is the sum of the first and second boxes in the third row:
$ x + 23 = 41 $ → $ x = 18 $

So first box in third row is 18

- 52 is the sum of the second and third boxes in the third row:
$ 23 + y = 52 $ → $ y = 29 $

So third box in third row is 29

Now third row: 18, 23, 29

---

#### Step 3: Use third row to find bottom row

Bottom row: ?, 11, 12, ?

We know:
- First box in third row (18) is the sum of the first and second boxes in the bottom row:
$ x + 11 = 18 $ → $ x = 7 $

So first box in bottom row is 7

- Second box in third row (23) is the sum of the second and third boxes in the bottom row:
$ 11 + 12 = 23 $ ✔ Already correct!

- Third box in third row (29) is the sum of the third and fourth boxes in the bottom row:
$ 12 + y = 29 $ → $ y = 17 $

So fourth box in bottom row is 17

---

✔ Pyramid 2 Final Answer:

```
93
41 52
18 23 29
7 11 12 17
```

---

✔ Final Answers:

#### Pyramid 1:
- Bottom row: 6, 14
- Middle row: 20

#### Pyramid 2:
- Top middle: 41
- Third row: 18, 29
- Bottom row: 7, 17

All filled correctly based on the rule: each number is the sum of the two below it.