PatternTrivia Questions & Answers
29 pattern 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. What letter continues the series? O, T, T, F, F, S, S, …
Answer: E. They are first letters of One, Two, Three… so next is Eight → E.
2. If 5+3=28, 9+1=810, then 8+6=?
Answer: 214. Concatenate (a−b) and (a+b): 8−6=2 and 8+6=14 → 214.
3. What number comes next: 1, 11, 21, 1211, 111221, ?
Answer: 312211. Look-and-say: 111221 reads as three 1s, two 2s, one 1, giving 312211.
4. What number comes next: 1, 2, 4, 8, 16, 31, ?
Answer: 57. This counts regions from chords on a circle; the next term is 57, not 64.
5. What comes next in this letter sequence? A, E, F, H, I, K, L, M, ?
Answer: N. These are capital letters composed only of straight lines (no curves); N is next alphabetically that fits — A,E,F,H,I,K,L,M,N all use only straight strokes.
6. Find the next term: 3, 5, 11, 29, 83, ___
Answer: 251. Each term = previous × 3 − 4: 3×3−4=5, 5×3−4=11, 11×3−4=29, 29×3−4=83, 83×3−4=245 — so 245 is correct, meaning correctIndex is 0.
7. What comes next in this series? J, F, M, A, M, J, J, A, ___
Answer: S. The series represents the first letters of the months: January through August, so the next is September = S.
8. Rearrange to find the pattern — what replaces ?: ACE, BDF, CEG, DFH, ___
Answer: EGI. Each triplet consists of every other letter starting from consecutive letters: A-C-E, B-D-F, C-E-G, D-F-H, so next is E-G-I.
9. What number should replace the '?': 3, 7, 13, 21, 31, ?
Answer: 43. Differences are 4, 6, 8, 10, 12 — increasing by 2 each time — so 31 + 12 = 43.
10. What comes next in the letter sequence: A, E, F, H, I, K, L, M, ?
Answer: N. These are capital letters composed only of straight lines (no curves); after M, the next such letter alphabetically is N.
11. Which number logically completes the grid? 3 6 18 4 8 32 5 10 ?
Answer: 50. Each row: col1 × col2 = col3 only if col2 = col1×2 and col3 = col1×col2: 5×10=50.
12. Series: 1, 2, 6, 24, 120, 720, ___
Answer: 5040. Each term is n!: 1!=1,2!=2,3!=6,...,7!=5040.
13. What comes next? J, F, M, A, M, J, J, A, ___
Answer: S. These are first letters of months: January through August; the next month is September = S.
14. Series: 2, 3, 5, 7, 11, 13, ___
Answer: 17. These are consecutive prime numbers; the prime after 13 is 17.
15. Which term comes next? AZ, BY, CX, DW, __
Answer: EV. First letters go A,B,C,D,E (forward); second letters go Z,Y,X,W,V (backward), giving EV.
16. Which figure completes the pattern? △◯△ / ◯△◯ / △◯? (each row and column uses each shape exactly twice)
Answer: △. In a 3×3 grid alternating △ and ◯, row 3 starts △◯, so the missing cell must be △ to satisfy the pattern rule.
17. Series: J, F, M, A, M, J, J, A, ?, ?, ?, ?
Answer: S, O, N, D. The letters are initials of months: January through August, so the next four are September (S), October (O), November (N), December (D).
18. Series: 2, 3, 5, 7, 11, 13, 17, ? What comes next?
Answer: 19. These are consecutive prime numbers; after 17 the next prime is 19.
19. Series: 2, 3, 5, 8, 13, 21, 34... What is the ratio of term 8 to term 7, to 2 decimal places?
Answer: 1.62. Term 8 is 55, term 7 is 34; 55÷34 ≈ 1.617, which rounds to 1.62 (the golden ratio approximation).
20. What is the missing number? 3, 8, 15, 24, 35, ?
Answer: 48. Terms follow n²−1 pattern: 2²−1=3,3²−1=8,4²−1=15,5²−1=24,6²−1=35,7²−1=48.
21. Which number continues the pattern: 1, 11, 21, 1211, 111221, ?
Answer: 312211. Look-and-say sequence: describe the previous term's digits — 111221 has three 1s, two 2s, one 1 → 312211.
22. Sequence: 3, 8, 15, 24, 35, 48, ___
Answer: 63. Terms follow n²+2n = n(n+2): n=1→3, n=2→8, n=3→15, n=4→24, n=5→35, n=6→48, n=7→63.
23. Letter pattern — what comes next: A, Z, B, Y, C, X, D, ___
Answer: W. The sequence alternates forward (A,B,C,D…) and backward (Z,Y,X,W…) through the alphabet; after D comes W.
24. Which number continues the sequence: 1, 2, 6, 24, 120, ___?
Answer: 720. Each term is multiplied by its position: 1×1=1, 1×2=2, 2×3=6, 6×4=24, 24×5=120, 120×6=720 (factorials).
25. Which number completes the pattern? 1, 2, 6, 24, 120, ___
Answer: 720. Each term is n! (factorial): 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, 6!=720.
26. What is the next number? 2, 3, 5, 8, 13, 21, 34, ___
Answer: 55. This is the Fibonacci sequence; each term is the sum of the two preceding: 21+34=55.
27. Which completes the pattern? JAM:KBN:LCO:___
Answer: MDP. Each triplet advances each letter by one: J→K→L→M, A→B→C→D, M→N→O→P; the next triplet is MDP.
28. What comes next in the letter sequence: O, T, T, F, F, S, S, E, N, ?
Answer: T. The sequence is the first letters of One, Two, Three, Four, Five, Six, Seven, Eight, Nine — the next is Ten, starting with T.
29. What is the missing number? 2, 3, 5, 8, 13, 21, ?, 55
Answer: 34. This is the Fibonacci sequence where each term is the sum of the two preceding terms: 21 + 13 = 34.
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