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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 21 · 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? 55, 50, 45, 40, 35, ? (a) 29 (b) 31 (c) 30 (d) 25
  2. 2.What comes next? 4, 16, 28, 40, 52, ? (a) 63 (b) 65 (c) 76 (d) 64
  3. 3.What comes next? 15, 17, 19, 21, 23, ? (a) 27 (b) 26 (c) 25 (d) 24
  4. 4.What comes next? 16, 25, 22, 31, 28, 37, ? (a) 33 (b) 40 (c) 46 (d) 34
  5. 5.What comes next? 31, 25, 19, 13, 7, ? (a) 1 (b) 2 (c) 3 (d) 4
  6. 6.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 120 (d) 72
  7. 7.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 47 (c) 46 (d) 48
  8. 8.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 16 (c) 15 (d) 14
  9. 9.What comes next? 10, 14, 18, 22, 26, ? (a) 34 (b) 31 (c) 30 (d) 29
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 90 (d) 45
  11. 11.What comes next? 6, 14, 22, 30, 38, ? (a) 46 (b) 47 (c) 54 (d) 45
  12. 12.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 23 (b) 28 (c) 24 (d) 26
  13. 13.What comes next? 3, 8, 13, 18, 23, ? (a) 29 (b) 33 (c) 28 (d) 27
  14. 14.What comes next? 53, 46, 39, 32, 25, ? (a) 17 (b) 18 (c) 11 (d) 19
  15. 15.What comes next? 11, 20, 29, 38, 47, ? (a) 57 (b) 55 (c) 56 (d) 65
  16. 16.What comes next? 54, 45, 36, 27, 18, ? (a) 11 (b) 8 (c) 9 (d) 10
  17. 17.What comes next? 22, 29, 36, 43, 50, ? (a) 64 (b) 56 (c) 58 (d) 57
  18. 18.What comes next? 20, 18, 16, 14, 12, ? (a) 8 (b) 9 (c) 10 (d) 11
  19. 19.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 37 (c) 36 (d) 38
  20. 20.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 26 (b) 24 (c) 23 (d) 30
  21. 21.What comes next? 8, 15, 11, 18, 14, 21, ? (a) 25 (b) 28 (c) 17 (d) 16
  22. 22.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 48 (c) 51 (d) 50
  23. 23.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 4 (c) 1 (d) 3
  24. 24.What comes next? 30, 38, 46, 54, 62, ? (a) 69 (b) 71 (c) 70 (d) 78
  25. 25.What comes next? 5, 11, 17, 23, 29, ? (a) 36 (b) 34 (c) 41 (d) 35
  26. 26.What comes next? 14, 19, 24, 29, 34, ? (a) 38 (b) 39 (c) 44 (d) 40
  27. 27.What comes next? 22, 24, 26, 28, 30, ? (a) 34 (b) 33 (c) 31 (d) 32
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  29. 29.What comes next? 15, 20, 19, 24, 23, 28, ? (a) 26 (b) 33 (c) 27 (d) 29
  30. 30.What comes next? 10, 16, 13, 19, 16, 22, ? (a) 25 (b) 18 (c) 19 (d) 28
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  32. 32.What comes next? 9, 13, 17, 21, 25, ? (a) 28 (b) 30 (c) 29 (d) 33
  33. 33.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 29 (c) 28 (d) 31
  34. 34.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 33 (c) 32 (d) 31
  35. 35.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 36 (d) 35
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  37. 37.What comes next? 6, 14, 8, 16, 10, 18, ? (a) 11 (b) 24 (c) 26 (d) 12
  38. 38.What comes next? 18, 24, 19, 25, 20, 26, ? (a) 20 (b) 31 (c) 32 (d) 21
  39. 39.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 43 (c) 45 (d) 44
  40. 40.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96

Answer key

  1. 30
  2. 64
  3. 25
  4. 34
  5. 1
  6. 96
  7. 47
  8. 15
  9. 30
  10. 81
  11. 46
  12. 24
  13. 28
  14. 18
  15. 56
  16. 9
  17. 57
  18. 10
  19. 37
  20. 24
  21. 17
  22. 49
  23. 1
  24. 70
  25. 35
  26. 39
  27. 32
  28. 162
  29. 27
  30. 19
  31. 160
  32. 29
  33. 29
  34. 31
  35. 34
  36. 243
  37. 12
  38. 21
  39. 43
  40. 128

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