Worksheet Input/output tables - Free Printable

Let’s solve each table one by one. We need to find the rule that connects “In” to “Out”, then use it to fill in the missing numbers.

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First Table (Top Left):

In | Out
30 | 19
31 | 20
? | 21
33 | ?
? | 27

Look at first two rows:
- 30 → 19 → difference is -11
- 31 → 20 → also -11

So rule: Out = In - 11

Check:
- If Out = 21, then In = 21 + 11 = 32
- If In = 33, then Out = 33 - 11 = 22
- If Out = 27, then In = 27 + 11 = 38

✔ First table filled:
In: 32, 38
Out: 22

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Second Table (Top Right):

In | Out
1 | 12
2 | 13
3 | ?
4 | 15
5 | ?

Pattern:
- 1 → 12 → +11
- 2 → 13 → +11
- So rule: Out = In + 11

Then:
- In = 3 → Out = 3 + 11 = 14
- In = 5 → Out = 5 + 11 = 16

✔ Second table filled:
Out: 14, 16

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Third Table (Middle Left):

In | Out
9 | 5
19 | 15
62 | ?
95 | 91

Check differences:
- 9 → 5 → -4
- 19 → 15 → -4
- 95 → 91 → -4

Rule: Out = In - 4

So:
- In = 62 → Out = 62 - 4 = 58

✔ Third table filled:
Out: 58

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Fourth Table (Middle Right):

In | Out
11 | 2
16 | 7
18 | ?
? | 9

Check:
- 11 → 2 → -9
- 16 → 7 → -9

Rule: Out = In - 9

Then:
- In = 18 → Out = 18 - 9 = 9
- If Out = 9, then In = 9 + 9 = 18 — wait, that’s already used? Let me check again.

Wait — last row says “? | 9”. So if Out = 9, and rule is Out = In - 9, then:

In = Out + 9 = 9 + 9 = 18

But 18 is already in the third row! That can’t be right unless there’s a mistake.

Wait — let’s recheck all values:

Row 1: 11 → 2 → 11 - 9 = 2 ✔
Row 2: 16 → 7 → 16 - 9 = 7 ✔
Row 3: 18 → ? → 18 - 9 = 9
Row 4: ? → 9 → In = 9 + 9 = 18

Oh — so both row 3 and row 4 would have In=18 and Out=9? That seems odd, but mathematically consistent. Maybe it’s intentional? Or perhaps I misread.

Wait — looking back at original image description (even though I shouldn’t describe it), the user said “complete the input/output tables” — so maybe duplicate pairs are allowed? Or maybe I made an error.

Alternative idea: Maybe the rule changes? But no — first two rows clearly show -9.

Perhaps the last row is meant to be different? Let me double-check calculation.

If Out = 9, and rule is In - 9 = Out, then In = 18.

And for In = 18, Out = 9.

So yes — both entries point to same pair. Maybe it’s a trick or typo, but based on pattern, we must go with the rule.

So:

- Row 3: In=18 → Out=9
- Row 4: Out=9 → In=18

Even though it repeats, it’s mathematically correct per the rule.

✔ Fourth table filled:
Out: 9
In: 18

*(Note: This results in duplicate row — but since the rule holds, we accept it.)*

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Fifth Table (Bottom Left):

In | Out
1 | 4
2 | ?
5 | 20
? | 32
10 | ?

Check knowns:
- 1 → 4 → ×4?
- 5 → 20 → 5×4=20 ✔
- So rule: Out = In × 4

Then:
- In=2 → Out=2×4=8
- Out=32 → In=32÷4=8
- In=10 → Out=10×4=40

✔ Fifth table filled:
Out: 8, 40
In: 8

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Sixth Table (Bottom Right):

In | Out
2 | 6
3 | 7
4 | ?
5 | 9
10 | ?

Check:
- 2 → 6 → +4
- 3 → 7 → +4
- 5 → 9 → +4

Rule: Out = In + 4

Then:
- In=4 → Out=4+4=8
- In=10 → Out=10+4=14

✔ Sixth table filled:
Out: 8, 14

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Now compile all answers into final format as requested.

Final Answer:

First Table (Top Left):
Missing In: 32, 38
Missing Out: 22

Second Table (Top Right):
Missing Out: 14, 16

Third Table (Middle Left):
Missing Out: 58

Fourth Table (Middle Right):
Missing Out: 9
Missing In: 18

Fifth Table (Bottom Left):
Missing Out: 8, 40
Missing In: 8

Sixth Table (Bottom Right):
Missing Out: 8, 14

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Final Answer:
Table 1: In = 32, 38; Out = 22
Table 2: Out = 14, 16
Table 3: Out = 58
Table 4: Out = 9; In = 18
Table 5: Out = 8, 40; In = 8
Table 6: Out = 8, 14