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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 202 · 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? 1, 7, 6, 12, 11, 17, ? (a) 23 (b) 15 (c) 18 (d) 16
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  3. 3.What comes next? 25, 34, 43, 52, 61, ? (a) 79 (b) 70 (c) 71 (d) 69
  4. 4.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 29 (c) 28 (d) 26
  5. 5.What comes next? 54, 45, 36, 27, 18, ? (a) 8 (b) 11 (c) 9 (d) 10
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  7. 7.What comes next? 27, 29, 31, 33, 35, ? (a) 39 (b) 37 (c) 36 (d) 38
  8. 8.What comes next? 5, 12, 19, 26, 33, ? (a) 40 (b) 41 (c) 47 (d) 39
  9. 9.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 5 (c) 2 (d) 3
  10. 10.What comes next? 20, 28, 36, 44, 52, ? (a) 61 (b) 60 (c) 59 (d) 68
  11. 11.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 21 (c) 23 (d) 24
  12. 12.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 32 (c) 34 (d) 33
  13. 13.What comes next? 5, 9, 13, 17, 21, ? (a) 26 (b) 29 (c) 25 (d) 24
  14. 14.What comes next? 69, 60, 51, 42, 33, ? (a) 24 (b) 25 (c) 23 (d) 15
  15. 15.What comes next? 2, 6, 10, 14, 18, ? (a) 26 (b) 21 (c) 22 (d) 23
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 32 (d) 24
  17. 17.What comes next? 57, 49, 41, 33, 25, ? (a) 17 (b) 16 (c) 18 (d) 9
  18. 18.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 28 (c) 29 (d) 30
  19. 19.What comes next? 9, 13, 17, 21, 25, ? (a) 29 (b) 30 (c) 28 (d) 33
  20. 20.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 33 (d) 34
  21. 21.What comes next? 15, 20, 25, 30, 35, ? (a) 39 (b) 40 (c) 41 (d) 45
  22. 22.What comes next? 13, 18, 23, 28, 33, ? (a) 37 (b) 43 (c) 39 (d) 38
  23. 23.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 27 (c) 29 (d) 26
  24. 24.What comes next? 14, 20, 19, 25, 24, 30, ? (a) 36 (b) 28 (c) 29 (d) 31
  25. 25.What comes next? 55, 47, 39, 31, 23, ? (a) 7 (b) 14 (c) 15 (d) 16
  26. 26.What comes next? 25, 28, 31, 34, 37, ? (a) 39 (b) 40 (c) 41 (d) 43
  27. 27.What comes next? 25, 35, 45, 55, 65, ? (a) 74 (b) 85 (c) 75 (d) 76
  28. 28.What comes next? 6, 15, 13, 22, 20, 29, ? (a) 38 (b) 27 (c) 26 (d) 31
  29. 29.What comes next? 13, 20, 14, 21, 15, 22, ? (a) 15 (b) 28 (c) 16 (d) 29
  30. 30.What comes next? 29, 37, 45, 53, 61, ? (a) 68 (b) 70 (c) 77 (d) 69
  31. 31.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 34 (c) 36 (d) 33
  32. 32.What comes next? 17, 24, 18, 25, 19, 26, ? (a) 19 (b) 20 (c) 32 (d) 33
  33. 33.What comes next? 48, 43, 38, 33, 28, ? (a) 23 (b) 24 (c) 18 (d) 22
  34. 34.What comes next? 23, 19, 15, 11, 7, ? (a) 5 (b) 4 (c) 2 (d) 3
  35. 35.What comes next? 33, 31, 29, 27, 25, ? (a) 22 (b) 24 (c) 23 (d) 21
  36. 36.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 32 (c) 34 (d) 33
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  38. 38.What comes next? 18, 29, 40, 51, 62, ? (a) 74 (b) 84 (c) 73 (d) 72
  39. 39.What comes next? 18, 25, 22, 29, 26, 33, ? (a) 40 (b) 36 (c) 29 (d) 30
  40. 40.What comes next? 53, 48, 43, 38, 33, ? (a) 29 (b) 23 (c) 27 (d) 28

Answer key

  1. 16
  2. 243
  3. 70
  4. 27
  5. 9
  6. 64
  7. 37
  8. 40
  9. 3
  10. 60
  11. 22
  12. 32
  13. 25
  14. 24
  15. 22
  16. 32
  17. 17
  18. 28
  19. 29
  20. 33
  21. 40
  22. 38
  23. 27
  24. 29
  25. 15
  26. 40
  27. 75
  28. 27
  29. 16
  30. 69
  31. 34
  32. 20
  33. 23
  34. 3
  35. 23
  36. 33
  37. 128
  38. 73
  39. 30
  40. 28

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