Math practice worksheet with input/output tables for finding rules and completing missing values.

Let’s solve each table one by one. We need to find the rule that turns Input (x) into Output (y), then use it to find the missing output.

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Table 1:
Input: 3 → Output: 6
Input: 5 → Output: 8
Input: 7 → Output: 10
Input: 9 → Output: ?

Look at the pattern:
3 + 3 = 6
5 + 3 = 8
7 + 3 = 10
So, rule is: x + 3

Then 9 + 3 = 12

✔ Missing output: 12

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Table 2:
Input: 0 → Output: 11
Input: 1 → Output: 12
Input: 2 → Output: 13
Input: 3 → Output: ?

Pattern:
0 + 11 = 11
1 + 11 = 12
2 + 11 = 13
Rule: x + 11

Then 3 + 11 = 14

✔ Missing output: 14

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Table 3:
Input: 6 → Output: 18
Input: 8 → Output: 20
Input: 10 → Output: 22
Input: 12 → Output: ?

Check differences:
6 × 3 = 18
8 × 2.5? No — wait, try adding:

6 + 12 = 18
8 + 12 = 20
10 + 12 = 22
Ah! Rule: x + 12

Then 12 + 12 = 24

✔ Missing output: 24

Wait — let me double-check with multiplication:

6 × 3 = 18
8 × 2.5 = 20? Not consistent.

But 6 → 18 (+12)
8 → 20 (+12)
10 → 22 (+12)
Yes, definitely +12

So 12 + 12 = 24

✔ Confirmed: 24

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Table 4:
Input: 10 → Output: 19
Input: 20 → Output: 29
Input: 30 → Output: 39
Input: 40 → Output: ?

Pattern:
10 + 9 = 19
20 + 9 = 29
30 + 9 = 39
Rule: x + 9

Then 40 + 9 = 49

✔ Missing output: 49

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Table 5:
Input: 10 → Output: 16
Input: 11 → Output: 17
Input: 12 → Output: 18
Input: 13 → Output: ?

Clearly:
10 + 6 = 16
11 + 6 = 17
12 + 6 = 18
Rule: x + 6

Then 13 + 6 = 19

✔ Missing output: 19

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Table 6:
Input: 2 → Output: 4
Input: 4 → Output: 6
Input: 6 → Output: 8
Input: 8 → Output: ?

Pattern:
2 + 2 = 4
4 + 2 = 6
6 + 2 = 8
Rule: x + 2

Then 8 + 2 = 10

✔ Missing output: 10

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Table 7:
Input: 4 → Output: 9
Input: 8 → Output: 13
Input: 12 → Output: 17
Input: 16 → Output: ?

Check:
4 + 5 = 9
8 + 5 = 13
12 + 5 = 17
Rule: x + 5

Then 16 + 5 = 21

✔ Missing output: 21

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Table 8:
Input: 100 → Output: 101
Input: 150 → Output: 151
Input: 200 → Output: 201
Input: 250 → Output: ?

Pattern:
100 + 1 = 101
150 + 1 = 151
200 + 1 = 201
Rule: x + 1

Then 250 + 1 = 251

✔ Missing output: 251

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Final Answer:
12, 14, 24, 49, 19, 10, 21, 251