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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 375 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 40 (c) 38 (d) 41
  2. 2.What comes next? 5, 16, 27, 38, 49, ? (a) 60 (b) 59 (c) 71 (d) 61
  3. 3.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 30 (c) 27 (d) 29
  4. 4.What comes next? 2, 13, 24, 35, 46, ? (a) 68 (b) 58 (c) 56 (d) 57
  5. 5.What comes next? 42, 34, 26, 18, 10, ? (a) 3 (b) 2 (c) 1 (d) 4
  6. 6.What comes next? 28, 34, 40, 46, 52, ? (a) 64 (b) 58 (c) 57 (d) 59
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  8. 8.What comes next? 6, 18, 30, 42, 54, ? (a) 66 (b) 67 (c) 65 (d) 78
  9. 9.What comes next? 30, 41, 52, 63, 74, ? (a) 86 (b) 85 (c) 84 (d) 96
  10. 10.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 34 (d) 36
  11. 11.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 47 (c) 49 (d) 46
  12. 12.What comes next? 15, 17, 19, 21, 23, ? (a) 26 (b) 27 (c) 25 (d) 24
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  14. 14.What comes next? 10, 18, 12, 20, 14, 22, ? (a) 16 (b) 28 (c) 30 (d) 15
  15. 15.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 13 (b) 6 (c) 5 (d) 12
  16. 16.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 17 (c) 18 (d) 19
  17. 17.What comes next? 5, 7, 9, 11, 13, ? (a) 14 (b) 16 (c) 15 (d) 17
  18. 18.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 30 (c) 29 (d) 28
  19. 19.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 96 (d) 72
  20. 20.What comes next? 59, 51, 43, 35, 27, ? (a) 18 (b) 20 (c) 19 (d) 11
  21. 21.What comes next? 58, 51, 44, 37, 30, ? (a) 22 (b) 24 (c) 23 (d) 16
  22. 22.What comes next? 5, 13, 7, 15, 9, 17, ? (a) 23 (b) 10 (c) 11 (d) 25
  23. 23.What comes next? 21, 23, 25, 27, 29, ? (a) 31 (b) 33 (c) 32 (d) 30
  24. 24.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 12 (b) 7 (c) 14 (d) 8
  25. 25.What comes next? 12, 17, 14, 19, 16, 21, ? (a) 26 (b) 24 (c) 18 (d) 17
  26. 26.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 20 (c) 18 (d) 19
  27. 27.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 1 (c) 2 (d) 3
  28. 28.What comes next? 11, 13, 15, 17, 19, ? (a) 23 (b) 20 (c) 21 (d) 22
  29. 29.What comes next? 26, 28, 30, 32, 34, ? (a) 35 (b) 36 (c) 38 (d) 37
  30. 30.What comes next? 22, 25, 28, 31, 34, ? (a) 37 (b) 40 (c) 38 (d) 36
  31. 31.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 21 (b) 23 (c) 19 (d) 18
  32. 32.What comes next? 6, 12, 18, 24, 30, ? (a) 35 (b) 37 (c) 42 (d) 36
  33. 33.What comes next? 36, 34, 32, 30, 28, ? (a) 26 (b) 25 (c) 24 (d) 27
  34. 34.What comes next? 14, 18, 17, 21, 20, 24, ? (a) 28 (b) 23 (c) 25 (d) 22
  35. 35.What comes next? 5, 8, 11, 14, 17, ? (a) 21 (b) 23 (c) 20 (d) 19
  36. 36.What comes next? 13, 16, 19, 22, 25, ? (a) 31 (b) 29 (c) 28 (d) 27
  37. 37.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  38. 38.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 30 (c) 28 (d) 27
  39. 39.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 30 (c) 32 (d) 29
  40. 40.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 11 (c) 9 (d) 10

Answer key

  1. 39
  2. 60
  3. 28
  4. 57
  5. 2
  6. 58
  7. 160
  8. 66
  9. 85
  10. 35
  11. 47
  12. 25
  13. 81
  14. 16
  15. 6
  16. 18
  17. 15
  18. 29
  19. 96
  20. 19
  21. 23
  22. 11
  23. 31
  24. 8
  25. 18
  26. 19
  27. 1
  28. 21
  29. 36
  30. 37
  31. 19
  32. 36
  33. 26
  34. 23
  35. 20
  36. 28
  37. 243
  38. 28
  39. 30
  40. 10

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