Find the missing number in the box | Number And Math Puzzle ... - Free Printable

Let's analyze the pattern in the given grid:

We have three rows, each with three boxes:

```
Row 1: 4 8 24
Row 2: 3 6 18
Row 3: 5 10 ?
```

We are to find the missing number in the last box (bottom right).

---

Step 1: Look at the relationship between the first two numbers and the third in each row.

#### Row 1:
- First number: 4
- Second number: 8
- Third number: 24

Check:
Is 4 × 8 = 32? No.
Is 4 + 8 = 12? No.
But notice:
4 × 6 = 24 → but where does 6 come from?

Wait — look at the second number: 8.
Is 4 × 6 = 24? Not helpful.

Try:
4 × 8 = 32 → too big
But 4 × 6 = 24 — maybe not directly.

Wait — what if we consider first number × second number = third number?

→ 4 × 8 = 32 ≠ 24 → no.

What if it's first number × (second number / something)?

Try another idea.

Look at first number × second number ÷ something?

Alternatively, let’s check if there's a consistent operation across rows.

#### Row 1: 4, 8, 24
Try: 4 × 6 = 24 → but 6 is not 8
Wait: 8 × 3 = 24 → 3 is not 4

But notice:
4 × 6 = 24 → 6 is half of 12? Not helpful.

Wait — try this:

In Row 1:
4 → 8 → 24
Is 8 × 3 = 24? Yes!
But what about 4? Is 4 related?

Now Row 2:
3 → 6 → 18
6 × 3 = 18 → again, same multiplier: 3!

Row 3:
5 → 10 → ?
If same pattern: 10 × 3 = 30

So maybe the pattern is:
Second number × 3 = Third number

Let’s verify:

- Row 1: 8 × 3 = 24 ✔
- Row 2: 6 × 3 = 18 ✔
- Row 3: 10 × 3 = 30 ✔

So the missing number is 30.

But wait — is that the only pattern? Let’s see if there’s a connection between first and second number.

In all rows:
- Row 1: 4 → 8 → doubled
- Row 2: 3 → 6 → doubled
- Row 3: 5 → 10 → doubled

So second number = 2 × first number

Then third number = 3 × second number = 3 × (2 × first) = 6 × first

So:

- Row 1: 6 × 4 = 24 ✔
- Row 2: 6 × 3 = 18 ✔
- Row 3: 6 × 5 = 30 ✔

Perfect!

So the rule is:
> Third number = 6 × First number

Or equivalently:
> Second number = 2 × First number, then Third number = 3 × Second number

Either way, the result is the same.

---

✔ Final Answer: 30

The missing number is 30.