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

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

Let’s find the difference between consecutive numbers:

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

Each time we add 7.

✔ Answer: (c) Add 7

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

Check how each number relates to the previous one:

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

Each time we multiply by 2.

✔ Answer: (b) Multiply 2

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

Check the operation:

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

Each time we divide by 3.

✔ Answer: (b) Divide 3

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

Check the pattern:

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

Each time we multiply by 5.

✔ Answer: (d) Multiply 5

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Part B: Determine the rule and complete the pattern

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

Find the difference:

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

So, we are subtracting 4 each time.

Next two numbers:
- 24 - 4 = 20
- 20 - 4 = 16

So, the completed sequence is:
36, 32, 28, 24, 20, 16

Now check the choices:

(a) Add 10 → Incorrect
(b) Divide 2 → No, not dividing
(c) Subtract 2 → No, it's subtracting 4
(d) Subtract 4 → ✔ Correct

✔ Answer: (d) Subtract 4
And the missing numbers are: 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 completion: 20, 16

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