You’ve uploaded a worksheet titled
“In and Out Boxes (Functions)”. The task is to:
> *Complete the relationship in the first number (input) and the second number (output). Fill in the blank boxes with the right number. Write down the rule to solve the table.*
This is a
function machine or
input-output table exercise — common in elementary math — where you must find the
rule (mathematical operation) that turns each input into its corresponding output, then use that rule to fill in the missing values.
---
Let’s go through each box one by one.
---
## 🔹 Box 1:
Input → Output
9 → 27
7 → 21
2 → ?
10 → ?
Step 1: Find the pattern.
- 9 → 27 → 9 × 3 = 27
✔
- 7 → 21 → 7 × 3 = 21
✔
✔ So the
rule is: Multiply by 3
Step 2: Apply the rule.
- 2 → 2 × 3 =
6
- 10 → 10 × 3 =
30
✔ Answers: 6 and 30
---
## 🔹 Box 2:
Input → Output
4 → 20
1 → 5
5 → ?
7 → ?
Step 1: Find the pattern.
- 4 → 20 → 4 × 5 = 20
✔
- 1 → 5 → 1 × 5 = 5
✔
✔ So the
rule is: Multiply by 5
Step 2: Apply the rule.
- 5 → 5 × 5 =
25
- 7 → 7 × 5 =
35
✔ Answers: 25 and 35
---
## 🔹 Box 3:
Input → Output
7 → 35
3 → 15
9 → ?
5 → ?
Step 1: Find the pattern.
- 7 → 35 → 7 × 5 = 35
✔
- 3 → 15 → 3 × 5 = 15
✔
✔ So the
rule is: Multiply by 5
Step 2: Apply the rule.
- 9 → 9 × 5 =
45
- 5 → 5 × 5 =
25
✔ Answers: 45 and 25
---
## 🔹 Box 4:
Input → Output
10 → 120
2 → 24
4 → ?
3 → ?
Step 1: Find the pattern.
- 10 → 120 → 10 × 12 = 120
✔
- 2 → 24 → 2 × 12 = 24
✔
✔ So the
rule is: Multiply by 12
Step 2: Apply the rule.
- 4 → 4 × 12 =
48
- 3 → 3 × 12 =
36
✔ Answers: 48 and 36
---
##
✔ Final Answers Summary:
| Box | Missing Outputs | Rule |
|-----|------------------------|----------------|
| 1 | 6, 30 | ×3 |
| 2 | 25, 35 | ×5 |
| 3 | 45, 25 | ×5 |
| 4 | 48, 36 | ×12 |
---
## 📝 How to write it on the worksheet:
For each box, fill in the blanks with the numbers above, and write the rule below or beside the box.
Example for Box 1:
```
Input Output
9 27
7 21
2 6
10 30
Rule: Multiply by 3
```
Repeat similarly for all boxes.
---
✔ All done! You’ve successfully solved the function tables by identifying multiplication rules and applying them to find missing outputs. Great job!
Parent Tip: Review the logic above to help your child master the concept of input output math worksheet.
