Number Patterns worksheet for 6 - Free Printable

Let's solve each question step by step and explain the reasoning.

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Part A: Determine the rule for the pattern

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#### 1. 9, 16, 23, 30

Let’s look at the differences between consecutive numbers:

- 16 - 9 = 7
- 23 - 16 = 7
- 30 - 23 = 7

Each number increases by 7.

✔ So, the rule is: Add 7

Answer: (c) Add 7

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#### 2. 6, 12, 24, 48, 96

Check the pattern:

- 6 × 2 = 12
- 12 × 2 = 24
- 24 × 2 = 48
- 48 × 2 = 96

Each number is multiplied by 2.

✔ So, the rule is: Multiply 2

Answer: (b) Multiply 2

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#### 3. 243, 81, 27, 9

Look at the division:

- 243 ÷ 3 = 81
- 81 ÷ 3 = 27
- 27 ÷ 3 = 9

Each number is divided by 3.

✔ So, the rule is: Divide 3

Answer: (b) Divide 3

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#### 4. 6, 30, 150, 750

Check the multiplication:

- 6 × 5 = 30
- 30 × 5 = 150
- 150 × 5 = 750

Each number is multiplied by 5.

✔ So, the rule is: Multiply 5

Answer: (d) Multiply 5

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Part B: Determine the rule and complete the pattern

#### 5. 36, 32, 28, 24, ____, ____

Look at the differences:

- 32 - 36 = -4
- 28 - 32 = -4
- 24 - 28 = -4

Each number decreases by 4.

So, the rule is: Subtract 4

Now continue the pattern:

- 24 - 4 = 20
- 20 - 4 = 16

✔ The next two numbers are 20 and 16

Answer: (d) Subtract 4, and the completed pattern is:
36, 32, 28, 24, 20, 16

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✔ Final Answers:

(A)
1. (c) Add 7
2. (b) Multiply 2
3. (b) Divide 3
4. (d) Multiply 5

(B)
5. (d) Subtract 4 → Pattern: 36, 32, 28, 24, 20, 16

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Let me know if you'd like this formatted as a printable answer sheet!