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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 15 · 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? 15, 20, 25, 30, 35, ? (a) 45 (b) 39 (c) 41 (d) 40
  2. 2.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 4 (c) 3 (d) 5
  3. 3.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 7 (b) 11 (c) 6 (d) 9
  4. 4.What comes next? 16, 18, 20, 22, 24, ? (a) 25 (b) 28 (c) 26 (d) 27
  5. 5.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  6. 6.What comes next? 11, 13, 15, 17, 19, ? (a) 20 (b) 23 (c) 21 (d) 22
  7. 7.What comes next? 9, 20, 31, 42, 53, ? (a) 64 (b) 65 (c) 75 (d) 63
  8. 8.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 30 (c) 31 (d) 32
  9. 9.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 27 (c) 28 (d) 29
  10. 10.What comes next? 37, 35, 33, 31, 29, ? (a) 26 (b) 27 (c) 28 (d) 25
  11. 11.What comes next? 47, 41, 35, 29, 23, ? (a) 16 (b) 18 (c) 17 (d) 11
  12. 12.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 37 (c) 35 (d) 34
  13. 13.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 243 (d) 216
  14. 14.What comes next? 27, 30, 33, 36, 39, ? (a) 41 (b) 43 (c) 42 (d) 45
  15. 15.What comes next? 7, 10, 13, 16, 19, ? (a) 21 (b) 22 (c) 25 (d) 23
  16. 16.What comes next? 2, 8, 6, 12, 10, 16, ? (a) 18 (b) 13 (c) 14 (d) 22
  17. 17.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 29 (b) 26 (c) 23 (d) 24
  18. 18.What comes next? 10, 15, 12, 17, 14, 19, ? (a) 15 (b) 24 (c) 16 (d) 22
  19. 19.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 34 (c) 33 (d) 32
  20. 20.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 6 (b) 7 (c) 11 (d) 12
  21. 21.What comes next? 33, 27, 21, 15, 9, ? (a) 3 (b) 5 (c) 2 (d) 4
  22. 22.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 10 (b) 22 (c) 11 (d) 21
  23. 23.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 36 (c) 35 (d) 33
  24. 24.What comes next? 12, 18, 16, 22, 20, 26, ? (a) 24 (b) 32 (c) 23 (d) 28
  25. 25.What comes next? 6, 13, 11, 18, 16, 23, ? (a) 25 (b) 21 (c) 30 (d) 20
  26. 26.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 26 (b) 31 (c) 25 (d) 28
  27. 27.What comes next? 27, 29, 31, 33, 35, ? (a) 39 (b) 36 (c) 37 (d) 38
  28. 28.What comes next? 44, 40, 36, 32, 28, ? (a) 24 (b) 25 (c) 23 (d) 20
  29. 29.What comes next? 27, 35, 43, 51, 59, ? (a) 68 (b) 67 (c) 75 (d) 66
  30. 30.What comes next? 13, 21, 29, 37, 45, ? (a) 53 (b) 61 (c) 54 (d) 52
  31. 31.What comes next? 11, 15, 19, 23, 27, ? (a) 31 (b) 35 (c) 32 (d) 30
  32. 32.What comes next? 29, 35, 41, 47, 53, ? (a) 59 (b) 60 (c) 65 (d) 58
  33. 33.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 64 (c) 65 (d) 66
  34. 34.What comes next? 28, 31, 34, 37, 40, ? (a) 44 (b) 43 (c) 46 (d) 42
  35. 35.What comes next? 26, 29, 32, 35, 38, ? (a) 41 (b) 42 (c) 44 (d) 40
  36. 36.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  37. 37.What comes next? 40, 35, 30, 25, 20, ? (a) 10 (b) 16 (c) 15 (d) 14
  38. 38.What comes next? 3, 11, 7, 15, 11, 19, ? (a) 15 (b) 23 (c) 14 (d) 27
  39. 39.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 10 (c) 11 (d) 13
  40. 40.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128

Answer key

  1. 40
  2. 5
  3. 7
  4. 26
  5. 64
  6. 21
  7. 64
  8. 31
  9. 27
  10. 27
  11. 17
  12. 35
  13. 243
  14. 42
  15. 22
  16. 14
  17. 24
  18. 16
  19. 33
  20. 7
  21. 3
  22. 11
  23. 34
  24. 24
  25. 21
  26. 26
  27. 37
  28. 24
  29. 67
  30. 53
  31. 31
  32. 59
  33. 65
  34. 43
  35. 41
  36. 162
  37. 15
  38. 15
  39. 11
  40. 128

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