Logical & Abstract Reasoning

Number & letter sequences

35 free practice questions with explanations

PassNova has 35 free Logical & Abstract Reasoning practice questions on Number & letter sequences, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.

Sample questions

Number & letter sequences: example questions & answers

35 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.

  1. What comes next in the sequence: 2, 4, 6, 8, ?

    • A9
    • B10
    • C11
    • D12

    Answer: The sequence increases by 2 each time, so after 8 comes 10.

  2. What comes next in the sequence: 3, 6, 9, 12, ?

    • A13
    • B14
    • C15
    • D18

    Answer: This is the 3 times table, increasing by 3 each step, so 12 + 3 = 15.

  3. What comes next in the sequence: 1, 2, 4, 8, 16, ?

    • A20
    • B32
    • C30
    • D24

    Answer: Each term doubles the previous one, so 16 x 2 = 32.

  4. What comes next in the sequence: 5, 10, 15, 20, ?

    • A24
    • B25
    • C30
    • D35

    Answer: The sequence increases by 5 each time, so 20 + 5 = 25.

  5. What comes next in the sequence: 2, 6, 12, 20, ?

    • A32
    • B26
    • C28
    • D30

    Answer: The differences are 4, 6, 8, then 10, so 20 + 10 = 30 (the terms are n x (n+1)).

  6. What comes next in the sequence: 1, 4, 9, 16, 25, ?

    • A30
    • B36
    • C35
    • D49

    Answer: These are square numbers (1, 4, 9, 16, 25), so the next is 6 squared = 36.

  7. What comes next in the sequence: 1, 1, 2, 3, 5, 8, ?

    • A10
    • B12
    • C11
    • D13

    Answer: This is the Fibonacci sequence where each term is the sum of the previous two, so 5 + 8 = 13.

  8. What comes next in the sequence: 100, 90, 80, 70, ?

    • A60
    • B55
    • C65
    • D50

    Answer: The sequence decreases by 10 each time, so 70 - 10 = 60.

  9. What comes next in the sequence: 81, 27, 9, 3, ?

    • A0
    • B1
    • C2
    • D3

    Answer: Each term is divided by 3, so 3 / 3 = 1.

  10. What comes next in the sequence: 2, 3, 5, 8, 12, ?

    • A15
    • B16
    • C17
    • D18

    Answer: The differences increase by one each time (1, 2, 3, 4, then 5), so 12 + 5 = 17.

  11. What comes next in the sequence: 7, 14, 28, 56, ?

    • A84
    • B112
    • C98
    • D110

    Answer: Each term is double the previous one, so 56 x 2 = 112.

  12. What comes next in the sequence: 3, 7, 11, 15, ?

    • A18
    • B19
    • C20
    • D21

    Answer: The sequence increases by 4 each time, so 15 + 4 = 19.

  13. What number is missing: 4, 8, ?, 16, 20

    • A10
    • B11
    • C12
    • D14

    Answer: This is the 4 times table, so the missing term between 8 and 16 is 12.

  14. What comes next in the sequence: 50, 47, 44, 41, ?

    • A37
    • B40
    • C39
    • D38

    Answer: The sequence decreases by 3 each time, so 41 - 3 = 38.

  15. What comes next in the sequence: 1, 3, 6, 10, 15, ?

    • A18
    • B20
    • C21
    • D22

    Answer: These are triangular numbers; the difference increases by 1 each time (5, then 6), so 15 + 6 = 21.

  16. What comes next in the sequence: 2, 4, 8, 16, 32, ?

    • A48
    • B64
    • C56
    • D60

    Answer: Each term doubles, so 32 x 2 = 64.

  17. What comes next in the sequence: 90, 45, 22.5, ?

    • A10.25
    • B11.25
    • C12.5
    • D15

    Answer: Each term is halved, so 22.5 / 2 = 11.25.

  18. What comes next in the sequence: 1, 8, 27, 64, ?

    • A100
    • B121
    • C125
    • D128

    Answer: These are cube numbers (1, 8, 27, 64), so the next is 5 cubed = 125.

  19. What comes next in the sequence: 11, 13, 17, 19, 23, ?

    • A25
    • B27
    • C29
    • D31

    Answer: These are consecutive prime numbers, and the next prime after 23 is 29.

  20. What number is missing: 6, 12, 24, ?, 96

    • A36
    • B48
    • C60
    • D72

    Answer: Each term doubles the previous one, so after 24 comes 48 (then 96).

  21. What comes next in this letter sequence: A, C, E, G, ?

    • AI
    • BH
    • CK
    • DJ

    Answer: The letters skip one each time (A, C, E, G), so the next is I.

  22. What comes next in this letter sequence: B, D, F, H, ?

    • AK
    • BI
    • CL
    • DJ

    Answer: The letters advance by two positions each time, so after H comes J.

  23. What comes next in this letter sequence: A, B, D, G, K, ?

    • AN
    • BO
    • CP
    • DQ

    Answer: The gaps between letters grow by one each time (1, 2, 3, 4, then 5), so K + 5 positions = P.

  24. What comes next in this letter sequence: Z, X, V, T, ?

    • AP
    • BS
    • CR
    • DQ

    Answer: The letters move back two positions each time, so after T comes R.

  25. What comes next in this letter sequence: A, Z, B, Y, C, ?

    • AD
    • BW
    • CE
    • DX

    Answer: The pattern alternates from the start and end of the alphabet; after C the next end-letter is X.

  26. In a simple code A=1, B=2, C=3 and so on. What does the number 5 represent?

    • AG
    • BD
    • CF
    • DE

    Answer: With A=1, the 5th letter of the alphabet is E.

  27. What comes next in this letter sequence: AA, BB, CC, DD, ?

    • AEE
    • BEF
    • CFF
    • DDE

    Answer: Each pair is a repeated letter advancing through the alphabet, so after DD comes EE.

  28. What comes next in this letter sequence: AB, CD, EF, GH, ?

    • AHI
    • BHJ
    • CJK
    • DIJ

    Answer: Each pair takes the next two consecutive letters, so after GH comes IJ.

  29. What comes next in the sequence: 1, 2, 4, 7, 11, 16, ?

    • A20
    • B21
    • C22
    • D23

    Answer: The difference increases by one each time (1, 2, 3, 4, 5, then 6), so 16 + 6 = 22.

  30. What comes next in the sequence: 64, 32, 16, 8, ?

    • A2
    • B3
    • C4
    • D6

    Answer: Each term is halved, so 8 / 2 = 4.

  31. What comes next in the sequence: 10, 9, 7, 4, ?

    • A0
    • B1
    • C2
    • D3

    Answer: The amount subtracted grows by one each time (1, 2, 3, then 4), so 4 - 4 = 0.

  32. What comes next in the sequence: 3, 9, 27, 81, ?

    • A324
    • B243
    • C216
    • D162

    Answer: Each term is multiplied by 3, so 81 x 3 = 243.

  33. What comes next in the sequence: 2, 5, 10, 17, 26, ?

    • A35
    • B36
    • C37
    • D38

    Answer: The differences are odd numbers 3, 5, 7, 9, then 11, so 26 + 11 = 37 (the terms are n squared + 1).

  34. What comes next in the sequence: 12, 10, 8, 6, ?

    • A4
    • B2
    • C3
    • D5

    Answer: The sequence decreases by 2 each time, so 6 - 2 = 4.

  35. What two numbers come next: 1, 2, 4, 5, 7, 8, 10, ?, ?

    • A11, 13
    • B11, 12
    • C11, 14
    • D12, 13

    Answer: The pattern alternates adding 1 then 2, so after 10 comes 10 + 1 = 11, then 11 + 2 = 13.

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