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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 83 · 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? 17, 20, 24, 29, 35, ? (a) 42 (b) 43 (c) 41 (d) 44
  2. 2.What comes next? 24, 36, 48, 60, 72, ? (a) 85 (b) 83 (c) 84 (d) 96
  3. 3.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 15 (b) 20 (c) 17 (d) 14
  4. 4.What comes next? 28, 39, 50, 61, 72, ? (a) 82 (b) 94 (c) 83 (d) 84
  5. 5.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 37 (c) 38 (d) 36
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  8. 8.What comes next? 19, 25, 31, 37, 43, ? (a) 49 (b) 50 (c) 55 (d) 48
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  10. 10.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 18 (d) 17
  11. 11.What comes next? 9, 11, 13, 15, 17, ? (a) 19 (b) 18 (c) 21 (d) 20
  12. 12.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 11 (b) 9 (c) 13 (d) 8
  13. 13.What comes next? 46, 39, 32, 25, 18, ? (a) 4 (b) 12 (c) 10 (d) 11
  14. 14.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 48 (c) 46 (d) 45
  15. 15.What comes next? 19, 27, 25, 33, 31, 39, ? (a) 37 (b) 41 (c) 47 (d) 36
  16. 16.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 31 (c) 34 (d) 32
  17. 17.What comes next? 36, 34, 32, 30, 28, ? (a) 25 (b) 24 (c) 27 (d) 26
  18. 18.What comes next? 6, 15, 24, 33, 42, ? (a) 52 (b) 50 (c) 60 (d) 51
  19. 19.What comes next? 46, 41, 36, 31, 26, ? (a) 20 (b) 16 (c) 21 (d) 22
  20. 20.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 31 (c) 34 (d) 33
  21. 21.What comes next? 24, 21, 18, 15, 12, ? (a) 9 (b) 10 (c) 8 (d) 6
  22. 22.What comes next? 4, 15, 26, 37, 48, ? (a) 59 (b) 58 (c) 60 (d) 70
  23. 23.What comes next? 24, 35, 46, 57, 68, ? (a) 90 (b) 80 (c) 78 (d) 79
  24. 24.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 30 (c) 29 (d) 28
  25. 25.What comes next? 6, 14, 9, 17, 12, 20, ? (a) 15 (b) 14 (c) 25 (d) 28
  26. 26.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 29 (c) 28 (d) 30
  27. 27.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  28. 28.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  29. 29.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  30. 30.What comes next? 13, 24, 35, 46, 57, ? (a) 68 (b) 79 (c) 69 (d) 67
  31. 31.What comes next? 40, 35, 30, 25, 20, ? (a) 14 (b) 15 (c) 16 (d) 10
  32. 32.What comes next? 18, 22, 27, 33, 40, ? (a) 50 (b) 48 (c) 47 (d) 49
  33. 33.What comes next? 10, 14, 13, 17, 16, 20, ? (a) 21 (b) 19 (c) 18 (d) 24
  34. 34.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 28 (c) 27 (d) 25
  35. 35.What comes next? 32, 26, 20, 14, 8, ? (a) 1 (b) 4 (c) 3 (d) 2
  36. 36.What comes next? 14, 22, 15, 23, 16, 24, ? (a) 17 (b) 32 (c) 31 (d) 16
  37. 37.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 3 (b) 10 (c) 4 (d) 11
  38. 38.What comes next? 7, 13, 9, 15, 11, 17, ? (a) 21 (b) 13 (c) 23 (d) 12
  39. 39.What comes next? 29, 34, 39, 44, 49, ? (a) 59 (b) 55 (c) 53 (d) 54
  40. 40.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 23 (c) 24 (d) 22

Answer key

  1. 42
  2. 84
  3. 15
  4. 83
  5. 37
  6. 243
  7. 81
  8. 49
  9. 162
  10. 18
  11. 19
  12. 9
  13. 11
  14. 46
  15. 37
  16. 32
  17. 26
  18. 51
  19. 21
  20. 32
  21. 9
  22. 59
  23. 79
  24. 30
  25. 15
  26. 29
  27. 128
  28. 32
  29. 96
  30. 68
  31. 15
  32. 48
  33. 19
  34. 26
  35. 2
  36. 17
  37. 4
  38. 13
  39. 54
  40. 22

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