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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 266 · 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? 49, 45, 41, 37, 33, ? (a) 25 (b) 30 (c) 28 (d) 29
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  3. 3.What comes next? 9, 15, 10, 16, 11, 17, ? (a) 22 (b) 23 (c) 11 (d) 12
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  5. 5.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 46 (c) 44 (d) 47
  6. 6.What comes next? 52, 44, 36, 28, 20, ? (a) 11 (b) 13 (c) 12 (d) 4
  7. 7.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 2 (c) 4 (d) 5
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  9. 9.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 28 (c) 30 (d) 29
  10. 10.What comes next? 26, 24, 22, 20, 18, ? (a) 16 (b) 15 (c) 14 (d) 17
  11. 11.What comes next? 65, 58, 51, 44, 37, ? (a) 30 (b) 23 (c) 29 (d) 31
  12. 12.What comes next? 27, 34, 41, 48, 55, ? (a) 69 (b) 63 (c) 62 (d) 61
  13. 13.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 7 (c) 10 (d) 8
  14. 14.What comes next? 23, 32, 41, 50, 59, ? (a) 67 (b) 69 (c) 68 (d) 77
  15. 15.What comes next? 3, 9, 15, 21, 27, ? (a) 33 (b) 34 (c) 39 (d) 32
  16. 16.What comes next? 7, 18, 29, 40, 51, ? (a) 61 (b) 62 (c) 63 (d) 73
  17. 17.What comes next? 8, 15, 22, 29, 36, ? (a) 44 (b) 43 (c) 42 (d) 50
  18. 18.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  19. 19.What comes next? 5, 16, 27, 38, 49, ? (a) 59 (b) 71 (c) 60 (d) 61
  20. 20.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 16 (c) 15 (d) 17
  21. 21.What comes next? 5, 14, 13, 22, 21, 30, ? (a) 28 (b) 29 (c) 31 (d) 39
  22. 22.What comes next? 42, 35, 28, 21, 14, ? (a) 8 (b) 7 (c) 9 (d) 6
  23. 23.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 19 (c) 20 (d) 22
  24. 24.What comes next? 15, 22, 29, 36, 43, ? (a) 57 (b) 49 (c) 50 (d) 51
  25. 25.What comes next? 18, 21, 25, 30, 36, ? (a) 44 (b) 42 (c) 43 (d) 45
  26. 26.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  27. 27.What comes next? 54, 49, 44, 39, 34, ? (a) 28 (b) 24 (c) 29 (d) 30
  28. 28.What comes next? 53, 46, 39, 32, 25, ? (a) 17 (b) 11 (c) 18 (d) 19
  29. 29.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 39 (c) 37 (d) 36
  30. 30.What comes next? 9, 11, 13, 15, 17, ? (a) 19 (b) 21 (c) 20 (d) 18
  31. 31.What comes next? 15, 17, 20, 24, 29, ? (a) 35 (b) 36 (c) 37 (d) 34
  32. 32.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 50 (c) 51 (d) 58
  33. 33.What comes next? 67, 59, 51, 43, 35, ? (a) 19 (b) 27 (c) 28 (d) 26
  34. 34.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 13 (c) 14 (d) 16
  35. 35.What comes next? 48, 41, 34, 27, 20, ? (a) 14 (b) 6 (c) 12 (d) 13
  36. 36.What comes next? 23, 21, 19, 17, 15, ? (a) 13 (b) 12 (c) 14 (d) 11
  37. 37.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 41 (d) 38
  38. 38.What comes next? 19, 25, 31, 37, 43, ? (a) 55 (b) 48 (c) 49 (d) 50
  39. 39.What comes next? 14, 16, 18, 20, 22, ? (a) 24 (b) 25 (c) 26 (d) 23
  40. 40.What comes next? 11, 23, 35, 47, 59, ? (a) 83 (b) 72 (c) 70 (d) 71

Answer key

  1. 29
  2. 64
  3. 12
  4. 81
  5. 45
  6. 12
  7. 3
  8. 96
  9. 28
  10. 16
  11. 30
  12. 62
  13. 8
  14. 68
  15. 33
  16. 62
  17. 43
  18. 160
  19. 60
  20. 16
  21. 29
  22. 7
  23. 20
  24. 50
  25. 43
  26. 243
  27. 29
  28. 18
  29. 37
  30. 19
  31. 35
  32. 50
  33. 27
  34. 14
  35. 13
  36. 13
  37. 39
  38. 49
  39. 24
  40. 71

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