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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 4 · 40 questions
TalentJR

How to solve it (Look at the gaps): Write the gap between each pair of neighbours (+4, +4, … or −3, −3, …). Same gap? Add it again. Growing gap (+2, +3, +4)? The next gap is one more. Gaps that take turns (+5, −2, +5, −2)? Use the next one in turn. Numbers growing fast? Try × 2 or × 3.

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 14, 18, 23, 29, 36, ? (a) 45 (b) 43 (c) 44 (d) 46
  2. 2.What comes next? 15, 23, 22, 30, 29, 37, ? (a) 45 (b) 38 (c) 36 (d) 35
  3. 3.What comes next? 10, 21, 32, 43, 54, ? (a) 64 (b) 76 (c) 66 (d) 65
  4. 4.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 14 (c) 15 (d) 16
  5. 5.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 30 (c) 28 (d) 27
  6. 6.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 49 (c) 50 (d) 54
  7. 7.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 18 (b) 13 (c) 17 (d) 12
  8. 8.What comes next? 3, 14, 25, 36, 47, ? (a) 69 (b) 58 (c) 59 (d) 57
  9. 9.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 5 (c) 1 (d) 4
  10. 10.What comes next? 28, 36, 44, 52, 60, ? (a) 76 (b) 69 (c) 67 (d) 68
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  12. 12.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 19 (b) 21 (c) 16 (d) 17
  13. 13.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  14. 14.What comes next? 43, 37, 31, 25, 19, ? (a) 7 (b) 12 (c) 14 (d) 13
  15. 15.What comes next? 6, 14, 13, 21, 20, 28, ? (a) 27 (b) 36 (c) 29 (d) 26
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  17. 17.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 19 (c) 18 (d) 21
  18. 18.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 27 (c) 28 (d) 29
  19. 19.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 25 (c) 26 (d) 24
  20. 20.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 24 (c) 26 (d) 25
  21. 21.What comes next? 14, 22, 20, 28, 26, 34, ? (a) 36 (b) 31 (c) 32 (d) 42
  22. 22.What comes next? 49, 42, 35, 28, 21, ? (a) 7 (b) 13 (c) 15 (d) 14
  23. 23.What comes next? 36, 30, 24, 18, 12, ? (a) 5 (b) 6 (c) 7 (d) 8
  24. 24.What comes next? 11, 21, 31, 41, 51, ? (a) 71 (b) 61 (c) 60 (d) 62
  25. 25.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 36 (d) 34
  26. 26.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 22 (c) 23 (d) 24
  27. 27.What comes next? 13, 21, 18, 26, 23, 31, ? (a) 39 (b) 28 (c) 34 (d) 27
  28. 28.What comes next? 27, 25, 23, 21, 19, ? (a) 15 (b) 17 (c) 18 (d) 16
  29. 29.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 3 (c) 7 (d) 6
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  32. 32.What comes next? 9, 15, 21, 27, 33, ? (a) 45 (b) 39 (c) 40 (d) 38
  33. 33.What comes next? 25, 35, 45, 55, 65, ? (a) 85 (b) 76 (c) 74 (d) 75
  34. 34.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 28 (d) 27
  35. 35.What comes next? 24, 26, 28, 30, 32, ? (a) 35 (b) 33 (c) 34 (d) 36
  36. 36.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 37 (c) 40 (d) 39
  37. 37.What comes next? 6, 14, 22, 30, 38, ? (a) 45 (b) 47 (c) 54 (d) 46
  38. 38.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 21 (b) 25 (c) 20 (d) 29
  39. 39.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 22 (c) 21 (d) 20
  40. 40.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 44 (c) 46 (d) 43

Answer key

  1. 44
  2. 36
  3. 65
  4. 15
  5. 28
  6. 50
  7. 13
  8. 58
  9. 5
  10. 68
  11. 81
  12. 17
  13. 64
  14. 13
  15. 27
  16. 96
  17. 19
  18. 27
  19. 25
  20. 24
  21. 32
  22. 14
  23. 6
  24. 61
  25. 34
  26. 23
  27. 28
  28. 17
  29. 7
  30. 128
  31. 162
  32. 39
  33. 75
  34. 28
  35. 34
  36. 38
  37. 46
  38. 21
  39. 21
  40. 44

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