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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 7 · 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? 24, 27, 30, 33, 36, ? (a) 42 (b) 38 (c) 40 (d) 39
  2. 2.What comes next? 1, 9, 7, 15, 13, 21, ? (a) 19 (b) 29 (c) 18 (d) 23
  3. 3.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 5 (c) 6 (d) 4
  4. 4.What comes next? 31, 25, 19, 13, 7, ? (a) 2 (b) 4 (c) 3 (d) 1
  5. 5.What comes next? 19, 27, 26, 34, 33, 41, ? (a) 39 (b) 49 (c) 42 (d) 40
  6. 6.What comes next? 26, 34, 42, 50, 58, ? (a) 74 (b) 65 (c) 67 (d) 66
  7. 7.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 34 (c) 33 (d) 35
  8. 8.What comes next? 10, 15, 12, 17, 14, 19, ? (a) 24 (b) 15 (c) 16 (d) 22
  9. 9.What comes next? 51, 42, 33, 24, 15, ? (a) 6 (b) 7 (c) 5 (d) 8
  10. 10.What comes next? 9, 19, 29, 39, 49, ? (a) 58 (b) 60 (c) 69 (d) 59
  11. 11.What comes next? 6, 15, 24, 33, 42, ? (a) 51 (b) 52 (c) 50 (d) 60
  12. 12.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 14 (b) 19 (c) 13 (d) 16
  13. 13.What comes next? 16, 19, 23, 28, 34, ? (a) 43 (b) 42 (c) 41 (d) 40
  14. 14.What comes next? 55, 48, 41, 34, 27, ? (a) 20 (b) 19 (c) 21 (d) 13
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  16. 16.What comes next? 18, 26, 19, 27, 20, 28, ? (a) 20 (b) 35 (c) 21 (d) 36
  17. 17.What comes next? 24, 26, 28, 30, 32, ? (a) 36 (b) 33 (c) 34 (d) 35
  18. 18.What comes next? 29, 27, 25, 23, 21, ? (a) 17 (b) 18 (c) 19 (d) 20
  19. 19.What comes next? 37, 30, 23, 16, 9, ? (a) 3 (b) 4 (c) 2 (d) 1
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  21. 21.What comes next? 31, 28, 25, 22, 19, ? (a) 16 (b) 17 (c) 13 (d) 15
  22. 22.What comes next? 23, 29, 35, 41, 47, ? (a) 52 (b) 54 (c) 53 (d) 59
  23. 23.What comes next? 33, 28, 23, 18, 13, ? (a) 7 (b) 3 (c) 9 (d) 8
  24. 24.What comes next? 18, 23, 28, 33, 38, ? (a) 48 (b) 44 (c) 42 (d) 43
  25. 25.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 35 (c) 36 (d) 38
  26. 26.What comes next? 7, 10, 13, 16, 19, ? (a) 25 (b) 22 (c) 21 (d) 23
  27. 27.What comes next? 30, 37, 44, 51, 58, ? (a) 72 (b) 65 (c) 64 (d) 66
  28. 28.What comes next? 16, 23, 19, 26, 22, 29, ? (a) 36 (b) 24 (c) 33 (d) 25
  29. 29.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 17 (c) 18 (d) 16
  30. 30.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 21 (c) 23 (d) 22
  31. 31.What comes next? 53, 47, 41, 35, 29, ? (a) 22 (b) 17 (c) 24 (d) 23
  32. 32.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 40 (c) 41 (d) 43
  33. 33.What comes next? 10, 16, 22, 28, 34, ? (a) 41 (b) 39 (c) 40 (d) 46
  34. 34.What comes next? 49, 44, 39, 34, 29, ? (a) 19 (b) 24 (c) 23 (d) 25
  35. 35.What comes next? 36, 33, 30, 27, 24, ? (a) 22 (b) 20 (c) 18 (d) 21
  36. 36.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 16 (b) 25 (c) 29 (d) 17
  37. 37.What comes next? 8, 14, 20, 26, 32, ? (a) 39 (b) 37 (c) 38 (d) 44
  38. 38.What comes next? 32, 26, 20, 14, 8, ? (a) 4 (b) 2 (c) 3 (d) 1
  39. 39.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 22 (c) 24 (d) 23
  40. 40.What comes next? 13, 16, 19, 22, 25, ? (a) 29 (b) 28 (c) 27 (d) 31

Answer key

  1. 39
  2. 19
  3. 4
  4. 1
  5. 40
  6. 66
  7. 33
  8. 16
  9. 6
  10. 59
  11. 51
  12. 14
  13. 41
  14. 20
  15. 243
  16. 21
  17. 34
  18. 19
  19. 2
  20. 162
  21. 16
  22. 53
  23. 8
  24. 43
  25. 36
  26. 22
  27. 65
  28. 25
  29. 17
  30. 23
  31. 23
  32. 41
  33. 40
  34. 24
  35. 21
  36. 17
  37. 38
  38. 2
  39. 22
  40. 28

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