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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 188 · 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? 28, 30, 32, 34, 36, ? (a) 40 (b) 37 (c) 38 (d) 39
  2. 2.What comes next? 65, 57, 49, 41, 33, ? (a) 17 (b) 26 (c) 24 (d) 25
  3. 3.What comes next? 27, 34, 41, 48, 55, ? (a) 61 (b) 69 (c) 63 (d) 62
  4. 4.What comes next? 3, 14, 25, 36, 47, ? (a) 59 (b) 69 (c) 58 (d) 57
  5. 5.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 21 (b) 14 (c) 23 (d) 15
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  7. 7.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 4 (c) 6 (d) 5
  8. 8.What comes next? 25, 28, 31, 34, 37, ? (a) 40 (b) 41 (c) 39 (d) 43
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  10. 10.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 21 (b) 20 (c) 16 (d) 15
  11. 11.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 30 (c) 29 (d) 28
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  13. 13.What comes next? 20, 31, 42, 53, 64, ? (a) 74 (b) 75 (c) 76 (d) 86
  14. 14.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 8 (c) 6 (d) 7
  15. 15.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 15 (b) 8 (c) 9 (d) 16
  16. 16.What comes next? 13, 23, 33, 43, 53, ? (a) 62 (b) 73 (c) 63 (d) 64
  17. 17.What comes next? 45, 40, 35, 30, 25, ? (a) 15 (b) 20 (c) 21 (d) 19
  18. 18.What comes next? 12, 21, 20, 29, 28, 37, ? (a) 35 (b) 46 (c) 36 (d) 38
  19. 19.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  20. 20.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  21. 21.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  22. 22.What comes next? 3, 5, 7, 9, 11, ? (a) 13 (b) 12 (c) 14 (d) 15
  23. 23.What comes next? 13, 17, 22, 28, 35, ? (a) 44 (b) 45 (c) 42 (d) 43
  24. 24.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 4 (b) 9 (c) 3 (d) 8
  25. 25.What comes next? 10, 19, 13, 22, 16, 25, ? (a) 19 (b) 18 (c) 31 (d) 34
  26. 26.What comes next? 25, 32, 39, 46, 53, ? (a) 61 (b) 60 (c) 59 (d) 67
  27. 27.What comes next? 12, 18, 24, 30, 36, ? (a) 43 (b) 41 (c) 42 (d) 48
  28. 28.What comes next? 49, 44, 39, 34, 29, ? (a) 24 (b) 19 (c) 23 (d) 25
  29. 29.What comes next? 48, 43, 38, 33, 28, ? (a) 18 (b) 24 (c) 23 (d) 22
  30. 30.What comes next? 5, 7, 10, 14, 19, ? (a) 24 (b) 26 (c) 25 (d) 27
  31. 31.What comes next? 17, 26, 19, 28, 21, 30, ? (a) 39 (b) 22 (c) 37 (d) 23
  32. 32.What comes next? 52, 46, 40, 34, 28, ? (a) 22 (b) 16 (c) 21 (d) 23
  33. 33.What comes next? 29, 38, 47, 56, 65, ? (a) 83 (b) 75 (c) 74 (d) 73
  34. 34.What comes next? 25, 34, 43, 52, 61, ? (a) 71 (b) 69 (c) 70 (d) 79
  35. 35.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 34 (c) 35 (d) 37
  36. 36.What comes next? 3, 12, 5, 14, 7, 16, ? (a) 25 (b) 8 (c) 23 (d) 9
  37. 37.What comes next? 4, 9, 5, 10, 6, 11, ? (a) 6 (b) 16 (c) 15 (d) 7
  38. 38.What comes next? 62, 55, 48, 41, 34, ? (a) 28 (b) 20 (c) 27 (d) 26
  39. 39.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 38 (c) 40 (d) 39
  40. 40.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 7 (c) 9 (d) 8

Answer key

  1. 38
  2. 25
  3. 62
  4. 58
  5. 15
  6. 81
  7. 6
  8. 40
  9. 96
  10. 16
  11. 29
  12. 64
  13. 75
  14. 6
  15. 9
  16. 63
  17. 20
  18. 36
  19. 162
  20. 160
  21. 32
  22. 13
  23. 43
  24. 4
  25. 19
  26. 60
  27. 42
  28. 24
  29. 23
  30. 25
  31. 23
  32. 22
  33. 74
  34. 70
  35. 35
  36. 9
  37. 7
  38. 27
  39. 39
  40. 8

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