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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 46 · 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? 20, 23, 21, 24, 22, 25, ? (a) 28 (b) 23 (c) 27 (d) 22
  2. 2.What comes next? 61, 53, 45, 37, 29, ? (a) 20 (b) 22 (c) 21 (d) 13
  3. 3.What comes next? 8, 16, 15, 23, 22, 30, ? (a) 38 (b) 31 (c) 29 (d) 28
  4. 4.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 47 (c) 45 (d) 46
  5. 5.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 4 (c) 6 (d) 7
  6. 6.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  7. 7.What comes next? 16, 22, 28, 34, 40, ? (a) 47 (b) 45 (c) 46 (d) 52
  8. 8.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 35 (c) 36 (d) 34
  9. 9.What comes next? 22, 34, 46, 58, 70, ? (a) 94 (b) 81 (c) 82 (d) 83
  10. 10.What comes next? 12, 20, 14, 22, 16, 24, ? (a) 32 (b) 18 (c) 17 (d) 30
  11. 11.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 10 (b) 9 (c) 14 (d) 15
  12. 12.What comes next? 43, 36, 29, 22, 15, ? (a) 1 (b) 9 (c) 8 (d) 7
  13. 13.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 41 (c) 40 (d) 38
  14. 14.What comes next? 18, 29, 40, 51, 62, ? (a) 72 (b) 84 (c) 74 (d) 73
  15. 15.What comes next? 33, 28, 23, 18, 13, ? (a) 7 (b) 8 (c) 3 (d) 9
  16. 16.What comes next? 54, 49, 44, 39, 34, ? (a) 28 (b) 30 (c) 29 (d) 24
  17. 17.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  18. 18.What comes next? 15, 22, 29, 36, 43, ? (a) 51 (b) 49 (c) 57 (d) 50
  19. 19.What comes next? 14, 23, 21, 30, 28, 37, ? (a) 46 (b) 39 (c) 34 (d) 35
  20. 20.What comes next? 35, 33, 31, 29, 27, ? (a) 25 (b) 26 (c) 23 (d) 24
  21. 21.What comes next? 8, 16, 24, 32, 40, ? (a) 47 (b) 48 (c) 49 (d) 56
  22. 22.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 40 (c) 39 (d) 38
  23. 23.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 18 (b) 8 (c) 9 (d) 17
  24. 24.What comes next? 3, 7, 12, 18, 25, ? (a) 33 (b) 35 (c) 34 (d) 32
  25. 25.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 6 (c) 7 (d) 8
  26. 26.What comes next? 35, 31, 27, 23, 19, ? (a) 15 (b) 11 (c) 14 (d) 16
  27. 27.What comes next? 22, 30, 38, 46, 54, ? (a) 61 (b) 70 (c) 63 (d) 62
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  29. 29.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 36 (c) 34 (d) 35
  30. 30.What comes next? 37, 35, 33, 31, 29, ? (a) 27 (b) 28 (c) 25 (d) 26
  31. 31.What comes next? 12, 20, 28, 36, 44, ? (a) 60 (b) 53 (c) 52 (d) 51
  32. 32.What comes next? 36, 33, 30, 27, 24, ? (a) 18 (b) 21 (c) 20 (d) 22
  33. 33.What comes next? 26, 21, 16, 11, 6, ? (a) 1 (b) 3 (c) 2 (d) 4
  34. 34.What comes next? 33, 31, 29, 27, 25, ? (a) 21 (b) 24 (c) 22 (d) 23
  35. 35.What comes next? 7, 19, 31, 43, 55, ? (a) 66 (b) 79 (c) 67 (d) 68
  36. 36.What comes next? 28, 33, 38, 43, 48, ? (a) 52 (b) 58 (c) 53 (d) 54
  37. 37.What comes next? 10, 19, 13, 22, 16, 25, ? (a) 18 (b) 19 (c) 31 (d) 34
  38. 38.What comes next? 24, 21, 18, 15, 12, ? (a) 6 (b) 9 (c) 8 (d) 10
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  40. 40.What comes next? 27, 38, 49, 60, 71, ? (a) 93 (b) 83 (c) 81 (d) 82

Answer key

  1. 23
  2. 21
  3. 29
  4. 45
  5. 6
  6. 160
  7. 46
  8. 35
  9. 82
  10. 18
  11. 10
  12. 8
  13. 39
  14. 73
  15. 8
  16. 29
  17. 162
  18. 50
  19. 35
  20. 25
  21. 48
  22. 38
  23. 9
  24. 33
  25. 7
  26. 15
  27. 62
  28. 96
  29. 34
  30. 27
  31. 52
  32. 21
  33. 1
  34. 23
  35. 67
  36. 53
  37. 19
  38. 9
  39. 243
  40. 82

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