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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 404 · 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? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  2. 2.What comes next? 9, 11, 13, 15, 17, ? (a) 18 (b) 21 (c) 20 (d) 19
  3. 3.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  4. 4.What comes next? 15, 21, 17, 23, 19, 25, ? (a) 29 (b) 21 (c) 31 (d) 20
  5. 5.What comes next? 41, 36, 31, 26, 21, ? (a) 11 (b) 15 (c) 16 (d) 17
  6. 6.What comes next? 9, 18, 14, 23, 19, 28, ? (a) 37 (b) 23 (c) 24 (d) 32
  7. 7.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 29 (c) 27 (d) 28
  8. 8.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 3 (b) 10 (c) 11 (d) 4
  9. 9.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 36 (c) 34 (d) 35
  10. 10.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 144 (d) 192
  11. 11.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 8 (b) 12 (c) 7 (d) 10
  12. 12.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 28 (b) 23 (c) 24 (d) 30
  13. 13.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 33 (c) 34 (d) 35
  14. 14.What comes next? 29, 37, 45, 53, 61, ? (a) 69 (b) 68 (c) 77 (d) 70
  15. 15.What comes next? 12, 14, 17, 21, 26, ? (a) 32 (b) 33 (c) 34 (d) 31
  16. 16.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 17 (b) 15 (c) 11 (d) 10
  17. 17.What comes next? 30, 39, 48, 57, 66, ? (a) 74 (b) 76 (c) 84 (d) 75
  18. 18.What comes next? 19, 30, 41, 52, 63, ? (a) 85 (b) 75 (c) 74 (d) 73
  19. 19.What comes next? 21, 33, 45, 57, 69, ? (a) 82 (b) 81 (c) 93 (d) 80
  20. 20.What comes next? 15, 18, 21, 24, 27, ? (a) 30 (b) 29 (c) 31 (d) 33
  21. 21.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  22. 22.What comes next? 4, 15, 26, 37, 48, ? (a) 60 (b) 59 (c) 70 (d) 58
  23. 23.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 36 (c) 37 (d) 35
  24. 24.What comes next? 14, 18, 22, 26, 30, ? (a) 35 (b) 33 (c) 34 (d) 38
  25. 25.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 39 (c) 40 (d) 38
  26. 26.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 28 (c) 29 (d) 31
  27. 27.What comes next? 47, 38, 29, 20, 11, ? (a) 1 (b) 4 (c) 2 (d) 3
  28. 28.What comes next? 7, 9, 11, 13, 15, ? (a) 17 (b) 19 (c) 18 (d) 16
  29. 29.What comes next? 67, 58, 49, 40, 31, ? (a) 23 (b) 22 (c) 13 (d) 21
  30. 30.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 2 (c) 1 (d) 4
  31. 31.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 22 (c) 24 (d) 23
  32. 32.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 22 (c) 21 (d) 23
  33. 33.What comes next? 6, 12, 10, 16, 14, 20, ? (a) 22 (b) 17 (c) 26 (d) 18
  34. 34.What comes next? 2, 4, 6, 8, 10, ? (a) 14 (b) 13 (c) 11 (d) 12
  35. 35.What comes next? 30, 35, 40, 45, 50, ? (a) 54 (b) 60 (c) 55 (d) 56
  36. 36.What comes next? 15, 25, 35, 45, 55, ? (a) 66 (b) 75 (c) 64 (d) 65
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  38. 38.What comes next? 7, 16, 11, 20, 15, 24, ? (a) 19 (b) 18 (c) 33 (d) 29
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  40. 40.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 13 (b) 14 (c) 18 (d) 16

Answer key

  1. 243
  2. 19
  3. 32
  4. 21
  5. 16
  6. 24
  7. 28
  8. 4
  9. 34
  10. 192
  11. 8
  12. 24
  13. 33
  14. 69
  15. 32
  16. 11
  17. 75
  18. 74
  19. 81
  20. 30
  21. 162
  22. 59
  23. 36
  24. 34
  25. 38
  26. 29
  27. 2
  28. 17
  29. 22
  30. 2
  31. 23
  32. 22
  33. 18
  34. 12
  35. 55
  36. 65
  37. 64
  38. 19
  39. 128
  40. 14

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