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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 111 · 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? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 17 (d) 16
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  3. 3.What comes next? 21, 27, 33, 39, 45, ? (a) 50 (b) 57 (c) 51 (d) 52
  4. 4.What comes next? 20, 29, 24, 33, 28, 37, ? (a) 32 (b) 46 (c) 42 (d) 31
  5. 5.What comes next? 4, 15, 26, 37, 48, ? (a) 60 (b) 58 (c) 59 (d) 70
  6. 6.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 37 (c) 34 (d) 36
  7. 7.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  9. 9.What comes next? 17, 27, 37, 47, 57, ? (a) 67 (b) 77 (c) 66 (d) 68
  10. 10.What comes next? 19, 24, 29, 34, 39, ? (a) 43 (b) 49 (c) 45 (d) 44
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  12. 12.What comes next? 33, 28, 23, 18, 13, ? (a) 3 (b) 8 (c) 7 (d) 9
  13. 13.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  14. 14.What comes next? 5, 9, 13, 17, 21, ? (a) 26 (b) 24 (c) 25 (d) 29
  15. 15.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 31 (b) 29 (c) 25 (d) 24
  16. 16.What comes next? 37, 30, 23, 16, 9, ? (a) 1 (b) 2 (c) 3 (d) 4
  17. 17.What comes next? 28, 39, 50, 61, 72, ? (a) 94 (b) 83 (c) 84 (d) 82
  18. 18.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 25 (d) 27
  19. 19.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 37 (c) 38 (d) 39
  20. 20.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 24 (c) 23 (d) 22
  21. 21.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 18 (b) 14 (c) 16 (d) 13
  22. 22.What comes next? 6, 9, 12, 15, 18, ? (a) 24 (b) 21 (c) 20 (d) 22
  23. 23.What comes next? 3, 15, 27, 39, 51, ? (a) 75 (b) 62 (c) 63 (d) 64
  24. 24.What comes next? 15, 17, 19, 21, 23, ? (a) 25 (b) 27 (c) 24 (d) 26
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  26. 26.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 36 (b) 32 (c) 27 (d) 28
  27. 27.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 20 (b) 26 (c) 21 (d) 23
  28. 28.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 40 (c) 42 (d) 39
  29. 29.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  30. 30.What comes next? 45, 41, 37, 33, 29, ? (a) 24 (b) 21 (c) 25 (d) 26
  31. 31.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 29 (c) 27 (d) 30
  32. 32.What comes next? 2, 6, 10, 14, 18, ? (a) 23 (b) 21 (c) 26 (d) 22
  33. 33.What comes next? 22, 20, 18, 16, 14, ? (a) 13 (b) 12 (c) 11 (d) 10
  34. 34.What comes next? 12, 17, 22, 27, 32, ? (a) 36 (b) 37 (c) 38 (d) 42
  35. 35.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 5 (b) 6 (c) 13 (d) 12
  36. 36.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 26 (b) 28 (c) 23 (d) 24
  37. 37.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 31 (c) 32 (d) 33
  38. 38.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 51 (c) 48 (d) 50
  39. 39.What comes next? 71, 62, 53, 44, 35, ? (a) 17 (b) 25 (c) 27 (d) 26
  40. 40.What comes next? 5, 12, 19, 26, 33, ? (a) 41 (b) 39 (c) 47 (d) 40

Answer key

  1. 17
  2. 96
  3. 51
  4. 32
  5. 59
  6. 35
  7. 192
  8. 243
  9. 67
  10. 44
  11. 128
  12. 8
  13. 162
  14. 25
  15. 25
  16. 2
  17. 83
  18. 25
  19. 38
  20. 22
  21. 14
  22. 21
  23. 63
  24. 25
  25. 81
  26. 28
  27. 21
  28. 40
  29. 64
  30. 25
  31. 28
  32. 22
  33. 12
  34. 37
  35. 6
  36. 24
  37. 32
  38. 49
  39. 26
  40. 40

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