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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 22 · 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? 11, 15, 12, 16, 13, 17, ? (a) 14 (b) 20 (c) 21 (d) 13
  2. 2.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 42 (c) 41 (d) 43
  3. 3.What comes next? 2, 5, 8, 11, 14, ? (a) 16 (b) 20 (c) 17 (d) 18
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  5. 5.What comes next? 38, 31, 24, 17, 10, ? (a) 5 (b) 2 (c) 3 (d) 4
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  7. 7.What comes next? 36, 29, 22, 15, 8, ? (a) 4 (b) 3 (c) 1 (d) 2
  8. 8.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 23 (b) 29 (c) 30 (d) 22
  9. 9.What comes next? 17, 22, 27, 32, 37, ? (a) 47 (b) 41 (c) 43 (d) 42
  10. 10.What comes next? 24, 27, 30, 33, 36, ? (a) 39 (b) 40 (c) 38 (d) 42
  11. 11.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 7 (c) 8 (d) 3
  12. 12.What comes next? 5, 10, 15, 20, 25, ? (a) 30 (b) 29 (c) 31 (d) 35
  13. 13.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 42 (c) 44 (d) 43
  14. 14.What comes next? 14, 19, 24, 29, 34, ? (a) 40 (b) 38 (c) 39 (d) 44
  15. 15.What comes next? 12, 20, 17, 25, 22, 30, ? (a) 33 (b) 26 (c) 38 (d) 27
  16. 16.What comes next? 20, 18, 16, 14, 12, ? (a) 11 (b) 10 (c) 9 (d) 8
  17. 17.What comes next? 29, 38, 47, 56, 65, ? (a) 83 (b) 73 (c) 75 (d) 74
  18. 18.What comes next? 65, 56, 47, 38, 29, ? (a) 21 (b) 19 (c) 11 (d) 20
  19. 19.What comes next? 8, 17, 13, 22, 18, 27, ? (a) 22 (b) 31 (c) 36 (d) 23
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 97 (d) 72
  21. 21.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  22. 22.What comes next? 49, 40, 31, 22, 13, ? (a) 4 (b) 5 (c) 3 (d) 6
  23. 23.What comes next? 17, 21, 26, 32, 39, ? (a) 46 (b) 48 (c) 49 (d) 47
  24. 24.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 38 (c) 37 (d) 39
  25. 25.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 46 (c) 48 (d) 47
  26. 26.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  27. 27.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 29 (c) 27 (d) 26
  28. 28.What comes next? 3, 7, 12, 18, 25, ? (a) 33 (b) 35 (c) 34 (d) 32
  29. 29.What comes next? 27, 34, 41, 48, 55, ? (a) 63 (b) 62 (c) 61 (d) 69
  30. 30.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 31 (c) 30 (d) 32
  31. 31.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 22 (c) 24 (d) 25
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  33. 33.What comes next? 22, 26, 30, 34, 38, ? (a) 42 (b) 43 (c) 41 (d) 46
  34. 34.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 73 (c) 71 (d) 72
  35. 35.What comes next? 21, 29, 37, 45, 53, ? (a) 62 (b) 69 (c) 61 (d) 60
  36. 36.What comes next? 19, 25, 21, 27, 23, 29, ? (a) 24 (b) 33 (c) 35 (d) 25
  37. 37.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 14 (b) 12 (c) 10 (d) 9
  38. 38.What comes next? 1, 8, 5, 12, 9, 16, ? (a) 19 (b) 12 (c) 23 (d) 13
  39. 39.What comes next? 45, 40, 35, 30, 25, ? (a) 19 (b) 15 (c) 21 (d) 20
  40. 40.What comes next? 11, 16, 21, 26, 31, ? (a) 41 (b) 36 (c) 35 (d) 37

Answer key

  1. 14
  2. 41
  3. 17
  4. 162
  5. 3
  6. 243
  7. 1
  8. 23
  9. 42
  10. 39
  11. 8
  12. 30
  13. 43
  14. 39
  15. 27
  16. 10
  17. 74
  18. 20
  19. 23
  20. 96
  21. 128
  22. 4
  23. 47
  24. 37
  25. 46
  26. 192
  27. 27
  28. 33
  29. 62
  30. 31
  31. 23
  32. 64
  33. 42
  34. 72
  35. 61
  36. 25
  37. 10
  38. 13
  39. 20
  40. 36

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