Number PatternsTrivia Questions & Answers
8 number patterns trivia questions, each with the correct answer and a short explanation.
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Each question reveals the answer and a quick explanation below it.
1. Which number logically completes the series? 3, 8, 15, 24, 35, __
Answer: 48. Differences are 5,7,9,11,13 — each gap increases by 2, so 35+13=48.
2. Series: 1, 1, 2, 3, 5, 8 — now apply the same logic: 2, 1, 3, 4, 7, 11, __
Answer: 18. Each term is the sum of the two preceding terms (Lucas-style); 7+11=18.
3. Odd one out: 8, 27, 64, 100, 125, 216
Answer: 100. 8=2³, 27=3³, 64=4³, 125=5³, 216=6³ are all perfect cubes; 100=10² is only a perfect square, not a perfect cube.
4. Which number logically completes the series: 1, 6, 15, 28, 45, __?
Answer: 66. Differences are 5,9,13,17,21 (increasing by 4 each time), so 45+21=66.
5. In a sequence: 1, 1, 2, 3, 5, 8 — what is the ratio of the 10th term to the 9th term, to 3 decimal places?
Answer: 1.618. Fibonacci: 9th term=34, 10th=55; 55÷34 = 1.6176… ≈ 1.618, the golden ratio approximation.
6. Which number completes the grid? Row1: 3,9,27 | Row2: 4,16,64 | Row3: 5,25,?
Answer: 125. Each row shows n, n², n³, so 5³ = 125.
7. Series: 1, 1, 2, 3, 5, 8, 13, 21 — what is the ratio of the 10th term to the 9th term, rounded to 2 decimals?
Answer: 1.62. The 9th term is 34 and 10th is 55; 55÷34 ≈ 1.6176, which rounds to 1.62.
8. Complete the analogy: 6 is to 30 as 8 is to ?
Answer: 56. 6 × (6−1) = 30; applying the same rule: 8 × (8−1) = 8 × 7 = 56.
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