Let's solve each of these number pattern problems step by step and explain the reasoning.
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1. What is the missing term: 4, 8, 16, __, 64?
Step-by-step:
- Look at the pattern:
- 4 → 8 (×2)
- 8 → 16 (×2)
- 16 → ? (×2) → 32
- 32 → 64 (×2)
✔ The pattern is
multiplying by 2 each time.
Answer: 32
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2. What is the missing term: 97, 88, 79, 70, ___?
Step-by-step:
- 97 → 88: subtract 9
- 88 → 79: subtract 9
- 79 → 70: subtract 9
- So, 70 → ? : subtract 9 →
61
✔ Pattern:
subtract 9 each time
Answer: 61
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3. What is the missing term: 23, ___, 31, 35, 39?
Step-by-step:
- Look at the known terms:
- 31 → 35: +4
- 35 → 39: +4
- So, it’s increasing by
+4 each time.
- Then, going backward:
- 31 – 4 = 27
- 27 – 4 = 23
✔ matches first term
So, the missing term between 23 and 31 is
27
Answer: 27
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4. What is the missing term: ___, 71, 62, 53, 44?
Step-by-step:
- 71 → 62: –9
- 62 → 53: –9
- 53 → 44: –9
- So, previous term before 71 is: 71 + 9 =
80
✔ Pattern:
subtract 9 each time
Answer: 80
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5. The terms in the number sequence 3, 6, 12, 24 ... are generated by:
Step-by-step:
- 3 → 6: ×2
- 6 → 12: ×2
- 12 → 24: ×2
✔ Each term is
doubled (multiplied by 2)
Answer: B. multiplying by 2
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6. How would you describe this pattern’s rule? 65, 62, 59, 56, 53, 50
Step-by-step:
- 65 → 62: –3
- 62 → 59: –3
- 59 → 56: –3
- 56 → 53: –3
- 53 → 50: –3
✔ Subtracting 3 each time
Answer: C. Subtract 3
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7. What is the pattern rule for this pattern? 2, 4, 8, 16, 32
Step-by-step:
- 2 → 4: ×2
- 4 → 8: ×2
- 8 → 16: ×2
- 16 → 32: ×2
✔ Each term is
double the previous one.
Now look at options:
A. Start at 2. Double the number each time.
✔
B. Start at 2. Add 2 each time. → Would give: 2, 4, 6, 8…
✘
C. Start at 2. Add 2 more each time. → 2, 4, 6, 8…
✘
D. Start at 2. Add 16 each time. → 2, 18, 34…
✘
Answer: A. Start at 2. Double the number each time.
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✔ Final Answers:
1.
32
2.
61
3.
27
4.
80
5.
B. multiplying by 2
6.
C. Subtract 3
7.
A. Start at 2. Double the number each time.
Let me know if you'd like a visual explanation or help with the rest of the quiz!
Parent Tip: Review the logic above to help your child master the concept of pattern rule worksheet grade 7.
