Patterns in Mathematics Worksheet – Class 6

Section A: Number Patterns

Fill in the missing numbers:

1. 2, 4, 6, ___, ___, ___
2. 5, 10, 15, ___, ___, ___
3. 1, 4, 9, 16, ___, ___, ___
4. 3, 6, 12, 24, ___, ___, ___
5. 7, 14, 28, 56, ___, ___, ___

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Section B: Odd and Even Patterns

Identify the next three numbers:

1. 2, 4, 6, 8, ___, ___, ___
2. 1, 3, 5, 7, ___, ___, ___
3. 10, 8, 6, 4, ___, ___, ___
4. 15, 20, 25, 30, ___, ___, ___
5. 9, 18, 27, 36, ___, ___, ___

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Section C: Multiples and Factors

Fill in the missing numbers:

1. Multiples of 3: 3, 6, 9, ___, ___, ___
2. Multiples of 4: 4, 8, 12, ___, ___, ___
3. Multiples of 5: 5, 10, 15, ___, ___, ___
4. Factors of 12: 1, 2, 3, ___, ___, ___
5. Factors of 18: 1, 2, 3, ___, ___, ___

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Section D: Algebraic Patterns

Find the rule and the missing number:

1. n, 2n, 3n, 4n, ___ (n = 5)
2. n², 2n², 3n², ___ (n = 3)
3. 5 + n, 10 + n, 15 + n, ___ (n = 2)
4. 2ⁿ, 2², 2³, 2⁴, ___
5. n(n + 1), 2(2 + 1), 3(3 + 1), ___

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Section E: Word Problems

1. A gardener plants flowers in rows: 2, 4, 6, 8… How many flowers will be in the 10th row?
2. A staircase has 3 steps on the first level, 6 on the second, 9 on the third… How many steps are there on the 12th level?
3. A train departs every 5 minutes. If the first train leaves at 6:00 AM, at what time does the 10th train leave?
4. A pattern of numbers: 1, 4, 9, 16… What is the 7th number in the pattern?
5. A machine produces 7 items on the first day, 14 on the second, 21 on the third… How many items will it produce on the 8th day?

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Answer Key (Optional for Teacher)

Section A:

1. 8, 10, 12
2. 20, 25, 30
3. 25, 36, 49
4. 48, 96, 192
5. 112, 224, 448

Section B:

1. 10, 12, 14
2. 9, 11, 13
3. 2, 0, -2
4. 35, 40, 45
5. 45, 54, 63

Section C:

1. 12, 15, 18
2. 16, 20, 24
3. 20, 25, 30
4. 4, 6, 12
5. 6, 9, 18

Section D:

1. 25
2. 27
3. 20, 25, 30
4. 16
5. 12

Section E:

1. 20 flowers
2. 36 steps
3. 6:45 AM
4. 49
5. 56 items