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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 242 · 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? 8, 9, 11, 14, 18, ? (a) 22 (b) 24 (c) 25 (d) 23
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  3. 3.What comes next? 32, 30, 28, 26, 24, ? (a) 23 (b) 20 (c) 21 (d) 22
  4. 4.What comes next? 25, 29, 33, 37, 41, ? (a) 46 (b) 44 (c) 45 (d) 49
  5. 5.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 6 (c) 9 (d) 8
  6. 6.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 17 (d) 16
  7. 7.What comes next? 9, 17, 25, 33, 41, ? (a) 50 (b) 49 (c) 48 (d) 57
  8. 8.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 20 (d) 21
  9. 9.What comes next? 29, 33, 37, 41, 45, ? (a) 49 (b) 50 (c) 48 (d) 53
  10. 10.What comes next? 9, 19, 29, 39, 49, ? (a) 69 (b) 58 (c) 59 (d) 60
  11. 11.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 47 (c) 49 (d) 50
  12. 12.What comes next? 12, 14, 17, 21, 26, ? (a) 34 (b) 32 (c) 33 (d) 31
  13. 13.What comes next? 19, 17, 15, 13, 11, ? (a) 10 (b) 8 (c) 7 (d) 9
  14. 14.What comes next? 25, 37, 49, 61, 73, ? (a) 85 (b) 84 (c) 86 (d) 97
  15. 15.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 14 (c) 13 (d) 16
  16. 16.What comes next? 26, 30, 34, 38, 42, ? (a) 50 (b) 47 (c) 45 (d) 46
  17. 17.What comes next? 9, 11, 13, 15, 17, ? (a) 20 (b) 18 (c) 19 (d) 21
  18. 18.What comes next? 1, 8, 3, 10, 5, 12, ? (a) 7 (b) 17 (c) 19 (d) 6
  19. 19.What comes next? 30, 34, 38, 42, 46, ? (a) 54 (b) 50 (c) 49 (d) 51
  20. 20.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 30 (c) 32 (d) 33
  21. 21.What comes next? 41, 35, 29, 23, 17, ? (a) 5 (b) 10 (c) 12 (d) 11
  22. 22.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  23. 23.What comes next? 40, 38, 36, 34, 32, ? (a) 29 (b) 31 (c) 28 (d) 30
  24. 24.What comes next? 3, 13, 23, 33, 43, ? (a) 63 (b) 52 (c) 54 (d) 53
  25. 25.What comes next? 24, 28, 32, 36, 40, ? (a) 44 (b) 45 (c) 43 (d) 48
  26. 26.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 160 (d) 129
  27. 27.What comes next? 4, 16, 28, 40, 52, ? (a) 76 (b) 65 (c) 63 (d) 64
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 120 (d) 72
  29. 29.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 22 (c) 21 (d) 20
  30. 30.What comes next? 22, 18, 14, 10, 6, ? (a) 1 (b) 3 (c) 4 (d) 2
  31. 31.What comes next? 16, 25, 21, 30, 26, 35, ? (a) 39 (b) 31 (c) 44 (d) 30
  32. 32.What comes next? 28, 26, 24, 22, 20, ? (a) 16 (b) 17 (c) 19 (d) 18
  33. 33.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 21 (b) 28 (c) 22 (d) 29
  34. 34.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 31 (c) 29 (d) 28
  35. 35.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 49 (d) 50
  36. 36.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 10 (b) 17 (c) 19 (d) 11
  37. 37.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 34 (c) 33 (d) 32
  38. 38.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 27 (c) 28 (d) 29
  39. 39.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 22 (c) 23 (d) 24
  40. 40.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 35 (c) 38 (d) 36

Answer key

  1. 23
  2. 243
  3. 22
  4. 45
  5. 7
  6. 17
  7. 49
  8. 21
  9. 49
  10. 59
  11. 48
  12. 32
  13. 9
  14. 85
  15. 14
  16. 46
  17. 19
  18. 7
  19. 50
  20. 31
  21. 11
  22. 162
  23. 30
  24. 53
  25. 44
  26. 128
  27. 64
  28. 96
  29. 21
  30. 2
  31. 31
  32. 18
  33. 22
  34. 29
  35. 49
  36. 11
  37. 32
  38. 28
  39. 22
  40. 36

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