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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 94 · 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, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  2. 2.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 6 (c) 5 (d) 4
  3. 3.What comes next? 14, 22, 21, 29, 28, 36, ? (a) 37 (b) 34 (c) 35 (d) 44
  4. 4.What comes next? 15, 19, 24, 30, 37, ? (a) 46 (b) 47 (c) 44 (d) 45
  5. 5.What comes next? 15, 25, 35, 45, 55, ? (a) 64 (b) 75 (c) 65 (d) 66
  6. 6.What comes next? 14, 23, 32, 41, 50, ? (a) 59 (b) 58 (c) 68 (d) 60
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  8. 8.What comes next? 5, 14, 9, 18, 13, 22, ? (a) 27 (b) 31 (c) 17 (d) 16
  9. 9.What comes next? 62, 54, 46, 38, 30, ? (a) 21 (b) 14 (c) 23 (d) 22
  10. 10.What comes next? 11, 19, 12, 20, 13, 21, ? (a) 14 (b) 28 (c) 29 (d) 13
  11. 11.What comes next? 20, 26, 32, 38, 44, ? (a) 51 (b) 49 (c) 56 (d) 50
  12. 12.What comes next? 2, 13, 24, 35, 46, ? (a) 58 (b) 56 (c) 68 (d) 57
  13. 13.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  14. 14.What comes next? 41, 38, 35, 32, 29, ? (a) 26 (b) 25 (c) 23 (d) 27
  15. 15.What comes next? 52, 45, 38, 31, 24, ? (a) 10 (b) 16 (c) 18 (d) 17
  16. 16.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  17. 17.What comes next? 37, 31, 25, 19, 13, ? (a) 6 (b) 7 (c) 8 (d) 1
  18. 18.What comes next? 7, 10, 13, 16, 19, ? (a) 25 (b) 21 (c) 22 (d) 23
  19. 19.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 31 (c) 33 (d) 30
  20. 20.What comes next? 46, 38, 30, 22, 14, ? (a) 5 (b) 6 (c) 7 (d) 8
  21. 21.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 19 (b) 10 (c) 11 (d) 21
  22. 22.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 19 (c) 17 (d) 20
  23. 23.What comes next? 16, 20, 17, 21, 18, 22, ? (a) 19 (b) 25 (c) 26 (d) 18
  24. 24.What comes next? 24, 36, 48, 60, 72, ? (a) 85 (b) 84 (c) 96 (d) 83
  25. 25.What comes next? 16, 26, 36, 46, 56, ? (a) 76 (b) 65 (c) 66 (d) 67
  26. 26.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 42 (c) 41 (d) 44
  27. 27.What comes next? 8, 10, 12, 14, 16, ? (a) 19 (b) 20 (c) 18 (d) 17
  28. 28.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 30 (b) 24 (c) 35 (d) 23
  29. 29.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 20 (c) 21 (d) 19
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 96 (d) 129
  31. 31.What comes next? 13, 19, 25, 31, 37, ? (a) 49 (b) 42 (c) 43 (d) 44
  32. 32.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 26 (c) 28 (d) 27
  33. 33.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 32 (d) 31
  34. 34.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  35. 35.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 22 (b) 17 (c) 25 (d) 18
  36. 36.What comes next? 26, 35, 44, 53, 62, ? (a) 71 (b) 72 (c) 80 (d) 70
  37. 37.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 28 (c) 31 (d) 29
  38. 38.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  39. 39.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 32 (d) 30
  40. 40.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 24 (b) 22 (c) 19 (d) 20

Answer key

  1. 81
  2. 4
  3. 35
  4. 45
  5. 65
  6. 59
  7. 64
  8. 17
  9. 22
  10. 14
  11. 50
  12. 57
  13. 96
  14. 26
  15. 17
  16. 243
  17. 7
  18. 22
  19. 31
  20. 6
  21. 11
  22. 18
  23. 19
  24. 84
  25. 66
  26. 42
  27. 18
  28. 24
  29. 20
  30. 128
  31. 43
  32. 26
  33. 32
  34. 162
  35. 18
  36. 71
  37. 29
  38. 32
  39. 31
  40. 20

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