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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 20 · 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? 16, 17, 19, 22, 26, ? (a) 31 (b) 30 (c) 33 (d) 32
  2. 2.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 19 (c) 22 (d) 20
  3. 3.What comes next? 44, 36, 28, 20, 12, ? (a) 3 (b) 4 (c) 6 (d) 5
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  5. 5.What comes next? 40, 36, 32, 28, 24, ? (a) 21 (b) 19 (c) 16 (d) 20
  6. 6.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 15 (c) 16 (d) 18
  7. 7.What comes next? 32, 27, 22, 17, 12, ? (a) 6 (b) 7 (c) 8 (d) 2
  8. 8.What comes next? 6, 16, 26, 36, 46, ? (a) 57 (b) 55 (c) 56 (d) 66
  9. 9.What comes next? 11, 16, 14, 19, 17, 22, ? (a) 19 (b) 20 (c) 27 (d) 24
  10. 10.What comes next? 26, 23, 20, 17, 14, ? (a) 11 (b) 12 (c) 8 (d) 10
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  12. 12.What comes next? 18, 23, 28, 33, 38, ? (a) 43 (b) 48 (c) 42 (d) 44
  13. 13.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 21 (c) 20 (d) 18
  14. 14.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  15. 15.What comes next? 49, 43, 37, 31, 25, ? (a) 13 (b) 18 (c) 19 (d) 20
  16. 16.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 30 (c) 32 (d) 31
  17. 17.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 22 (c) 21 (d) 20
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 216 (d) 270
  19. 19.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 33 (c) 32 (d) 34
  20. 20.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 16 (c) 15 (d) 14
  21. 21.What comes next? 16, 26, 36, 46, 56, ? (a) 67 (b) 66 (c) 65 (d) 76
  22. 22.What comes next? 4, 13, 22, 31, 40, ? (a) 50 (b) 49 (c) 48 (d) 58
  23. 23.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  24. 24.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 40 (c) 37 (d) 39
  25. 25.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  26. 26.What comes next? 18, 27, 19, 28, 20, 29, ? (a) 38 (b) 37 (c) 20 (d) 21
  27. 27.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 29 (c) 26 (d) 27
  28. 28.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 40 (c) 42 (d) 41
  29. 29.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  30. 30.What comes next? 6, 10, 14, 18, 22, ? (a) 27 (b) 30 (c) 25 (d) 26
  31. 31.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 61 (c) 63 (d) 62
  32. 32.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 3 (b) 13 (c) 4 (d) 12
  33. 33.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 20 (b) 13 (c) 14 (d) 21
  34. 34.What comes next? 17, 23, 29, 35, 41, ? (a) 46 (b) 47 (c) 48 (d) 53
  35. 35.What comes next? 52, 43, 34, 25, 16, ? (a) 6 (b) 7 (c) 8 (d) 9
  36. 36.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 28 (c) 25 (d) 26
  37. 37.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  38. 38.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  39. 39.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 6 (b) 5 (c) 10 (d) 11
  40. 40.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 20 (c) 23 (d) 21

Answer key

  1. 31
  2. 20
  3. 4
  4. 160
  5. 20
  6. 16
  7. 7
  8. 56
  9. 20
  10. 11
  11. 81
  12. 43
  13. 19
  14. 162
  15. 19
  16. 30
  17. 20
  18. 243
  19. 33
  20. 15
  21. 66
  22. 49
  23. 96
  24. 38
  25. 32
  26. 21
  27. 27
  28. 41
  29. 64
  30. 26
  31. 62
  32. 4
  33. 14
  34. 47
  35. 7
  36. 26
  37. 192
  38. 128
  39. 6
  40. 21

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