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Worksheet designed to help students practice identifying division and multiplication patterns by completing tables and writing the rules.

Division and Multiplication Patterns Worksheet with tables showing input and output values and rules to complete the patterns.

Division and Multiplication Patterns Worksheet with tables showing input and output values and rules to complete the patterns.

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Show Answer Key & Explanations Step-by-step solution for: Multiplication and Division Worksheets with Answer Key
Let’s solve each box one by one. We’ll look at the “in” and “out” numbers to find the rule — like what you do to the “in” number to get the “out” number.

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Problem ①

Given:
- in = 50 → out = 10
- in = 40 → out = 8

Check:
50 ÷ ? = 10 → 50 ÷ 5 = 10
40 ÷ ? = 8 → 40 ÷ 5 = 8

So the rule is ÷ 5

Now fill in the rest:

- in = 35 → 35 ÷ 5 = 7
- in = 25 → 25 ÷ 5 = 5

Rule: ÷ 5
Out values: 7, 5

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Problem ②

Given:
- in = 63 → out = 7
- in = 81 → out = 9

Check:
63 ÷ ? = 7 → 63 ÷ 9 = 7
81 ÷ ? = 9 → 81 ÷ 9 = 9

Rule: ÷ 9

Fill in:

- in = 90 → 90 ÷ 9 = 10
- in = 54 → 54 ÷ 9 = 6

Rule: ÷ 9
Out values: 10, 6

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Problem ③

Given:
- in = 27 → out = 9
- in = 18 → out = 6

Check:
27 ÷ ? = 9 → 27 ÷ 3 = 9
18 ÷ ? = 6 → 18 ÷ 3 = 6

Rule: ÷ 3

Fill in:

- in = 21 → 21 ÷ 3 = 7
- in = 3 → 3 ÷ 3 = 1

Rule: ÷ 3
Out values: 7, 1

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Problem ④

Given:
- in = 2 → out = 6
- in = 4 → out = 12

Check:
2 × ? = 6 → 2 × 3 = 6
4 × ? = 12 → 4 × 3 = 12

Rule: × 3

Fill in:

- in = 8 → 8 × 3 = 24
- in = 6 → 6 × 3 = 18

Rule: × 3
Out values: 24, 18

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Problem ⑤

Given:
- in = 54 → out = 9
- in = 36 → out = 6

Check:
54 ÷ ? = 9 → 54 ÷ 6 = 9
36 ÷ ? = 6 → 36 ÷ 6 = 6

Rule: ÷ 6

Fill in:

- in = 48 → 48 ÷ 6 = 8
- in = 18 → 18 ÷ 6 = 3

Rule: ÷ 6
Out values: 8, 3

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Problem ⑥

Given:
- in = 3 → out = 9
- in = 2 → out = 6

Check:
3 × ? = 9 → 3 × 3 = 9
2 × ? = 6 → 2 × 3 = 6

Rule: × 3

Fill in:

- in = 12 → 12 × 3 = 36
- in = 9 → 9 × 3 = 27

Rule: × 3
Out values: 36, 27

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Problem ⑦

Given:
- in = 4 → out = 16
- in = 6 → out = 24

Check:
4 × ? = 16 → 4 × 4 = 16
6 × ? = 24 → 6 × 4 = 24

Rule: × 4

Fill in:

- in = 10 → 10 × 4 = 40
- in = 9 → 9 × 4 = 36

Rule: × 4
Out values: 40, 36

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Final Answer:

① Rule: ÷ 5; Out: 7, 5
② Rule: ÷ 9; Out: 10, 6
③ Rule: ÷ 3; Out: 7, 1
④ Rule: × 3; Out: 24, 18
⑤ Rule: ÷ 6; Out: 8, 3
⑥ Rule: × 3; Out: 36, 27
⑦ Rule: × 4; Out: 40, 36
Parent Tip: Review the logic above to help your child master the concept of division patterns 3rd grade.
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