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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 281 · 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, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  3. 3.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 26 (c) 27 (d) 28
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  5. 5.What comes next? 16, 24, 23, 31, 30, 38, ? (a) 39 (b) 46 (c) 37 (d) 36
  6. 6.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 14 (b) 22 (c) 19 (d) 15
  7. 7.What comes next? 5, 16, 27, 38, 49, ? (a) 60 (b) 61 (c) 59 (d) 71
  8. 8.What comes next? 48, 39, 30, 21, 12, ? (a) 2 (b) 4 (c) 3 (d) 5
  9. 9.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  10. 10.What comes next? 27, 34, 41, 48, 55, ? (a) 61 (b) 62 (c) 63 (d) 69
  11. 11.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 38 (c) 41 (d) 39
  12. 12.What comes next? 23, 31, 39, 47, 55, ? (a) 62 (b) 63 (c) 64 (d) 71
  13. 13.What comes next? 11, 13, 16, 20, 25, ? (a) 31 (b) 32 (c) 33 (d) 30
  14. 14.What comes next? 25, 37, 49, 61, 73, ? (a) 85 (b) 97 (c) 86 (d) 84
  15. 15.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 26 (b) 32 (c) 27 (d) 29
  16. 16.What comes next? 7, 12, 17, 22, 27, ? (a) 33 (b) 37 (c) 32 (d) 31
  17. 17.What comes next? 16, 28, 40, 52, 64, ? (a) 88 (b) 76 (c) 75 (d) 77
  18. 18.What comes next? 12, 14, 17, 21, 26, ? (a) 34 (b) 31 (c) 33 (d) 32
  19. 19.What comes next? 9, 15, 21, 27, 33, ? (a) 40 (b) 38 (c) 39 (d) 45
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 96 (d) 72
  21. 21.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 32 (c) 31 (d) 34
  22. 22.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 4 (c) 5 (d) 6
  23. 23.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 38 (c) 36 (d) 35
  24. 24.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 33 (b) 30 (c) 27 (d) 28
  25. 25.What comes next? 6, 8, 10, 12, 14, ? (a) 17 (b) 18 (c) 15 (d) 16
  26. 26.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 19 (b) 13 (c) 16 (d) 14
  27. 27.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 200 (d) 161
  28. 28.What comes next? 13, 21, 29, 37, 45, ? (a) 61 (b) 54 (c) 52 (d) 53
  29. 29.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 42 (c) 40 (d) 41
  30. 30.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 38 (c) 39 (d) 37
  31. 31.What comes next? 28, 25, 22, 19, 16, ? (a) 12 (b) 14 (c) 10 (d) 13
  32. 32.What comes next? 5, 13, 8, 16, 11, 19, ? (a) 14 (b) 13 (c) 24 (d) 27
  33. 33.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 14 (c) 16 (d) 15
  34. 34.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  35. 35.What comes next? 57, 49, 41, 33, 25, ? (a) 18 (b) 16 (c) 17 (d) 9
  36. 36.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 22 (b) 19 (c) 20 (d) 26
  37. 37.What comes next? 26, 28, 30, 32, 34, ? (a) 38 (b) 35 (c) 37 (d) 36
  38. 38.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 35 (c) 34 (d) 32
  39. 39.What comes next? 52, 47, 42, 37, 32, ? (a) 28 (b) 26 (c) 22 (d) 27
  40. 40.What comes next? 48, 41, 34, 27, 20, ? (a) 13 (b) 6 (c) 14 (d) 12

Answer key

  1. 64
  2. 32
  3. 26
  4. 243
  5. 37
  6. 15
  7. 60
  8. 3
  9. 192
  10. 62
  11. 39
  12. 63
  13. 31
  14. 85
  15. 27
  16. 32
  17. 76
  18. 32
  19. 39
  20. 96
  21. 32
  22. 5
  23. 36
  24. 28
  25. 16
  26. 14
  27. 160
  28. 53
  29. 40
  30. 38
  31. 13
  32. 14
  33. 15
  34. 162
  35. 17
  36. 20
  37. 36
  38. 33
  39. 27
  40. 13

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