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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 28 · 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? 3, 7, 12, 18, 25, ? (a) 35 (b) 32 (c) 34 (d) 33
  2. 2.What comes next? 45, 37, 29, 21, 13, ? (a) 4 (b) 5 (c) 6 (d) 7
  3. 3.What comes next? 32, 27, 22, 17, 12, ? (a) 7 (b) 6 (c) 8 (d) 2
  4. 4.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 30 (b) 34 (c) 27 (d) 28
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  6. 6.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  7. 7.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 44 (c) 45 (d) 43
  8. 8.What comes next? 19, 24, 29, 34, 39, ? (a) 43 (b) 45 (c) 44 (d) 49
  9. 9.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 20 (b) 23 (c) 25 (d) 21
  10. 10.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 22 (c) 23 (d) 20
  11. 11.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 27 (d) 29
  12. 12.What comes next? 23, 21, 19, 17, 15, ? (a) 11 (b) 12 (c) 14 (d) 13
  13. 13.What comes next? 60, 53, 46, 39, 32, ? (a) 26 (b) 18 (c) 25 (d) 24
  14. 14.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  15. 15.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 38 (c) 39 (d) 41
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  17. 17.What comes next? 9, 16, 23, 30, 37, ? (a) 45 (b) 44 (c) 51 (d) 43
  18. 18.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 37 (c) 35 (d) 34
  19. 19.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 53 (c) 55 (d) 54
  20. 20.What comes next? 4, 11, 8, 15, 12, 19, ? (a) 16 (b) 26 (c) 15 (d) 22
  21. 21.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  22. 22.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 11 (b) 12 (c) 16 (d) 17
  23. 23.What comes next? 14, 23, 17, 26, 20, 29, ? (a) 22 (b) 38 (c) 23 (d) 35
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  25. 25.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  26. 26.What comes next? 28, 33, 38, 43, 48, ? (a) 52 (b) 54 (c) 53 (d) 58
  27. 27.What comes next? 24, 21, 18, 15, 12, ? (a) 6 (b) 10 (c) 8 (d) 9
  28. 28.What comes next? 40, 35, 30, 25, 20, ? (a) 14 (b) 15 (c) 16 (d) 10
  29. 29.What comes next? 19, 26, 20, 27, 21, 28, ? (a) 34 (b) 22 (c) 21 (d) 35
  30. 30.What comes next? 19, 16, 13, 10, 7, ? (a) 1 (b) 3 (c) 5 (d) 4
  31. 31.What comes next? 17, 26, 23, 32, 29, 38, ? (a) 34 (b) 41 (c) 35 (d) 47
  32. 32.What comes next? 18, 16, 14, 12, 10, ? (a) 7 (b) 8 (c) 9 (d) 6
  33. 33.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 32 (c) 29 (d) 30
  34. 34.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 20 (c) 19 (d) 21
  35. 35.What comes next? 14, 18, 23, 29, 36, ? (a) 44 (b) 45 (c) 46 (d) 43
  36. 36.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 34 (c) 35 (d) 36
  37. 37.What comes next? 18, 28, 38, 48, 58, ? (a) 78 (b) 67 (c) 69 (d) 68
  38. 38.What comes next? 51, 42, 33, 24, 15, ? (a) 8 (b) 6 (c) 5 (d) 7
  39. 39.What comes next? 12, 21, 14, 23, 16, 25, ? (a) 34 (b) 18 (c) 32 (d) 17
  40. 40.What comes next? 24, 30, 36, 42, 48, ? (a) 60 (b) 55 (c) 54 (d) 53

Answer key

  1. 33
  2. 5
  3. 7
  4. 28
  5. 81
  6. 32
  7. 44
  8. 44
  9. 21
  10. 21
  11. 27
  12. 13
  13. 25
  14. 64
  15. 39
  16. 96
  17. 44
  18. 35
  19. 54
  20. 16
  21. 162
  22. 12
  23. 23
  24. 128
  25. 243
  26. 53
  27. 9
  28. 15
  29. 22
  30. 4
  31. 35
  32. 8
  33. 30
  34. 20
  35. 44
  36. 35
  37. 68
  38. 6
  39. 18
  40. 54

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