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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 57 · 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? 13, 15, 17, 19, 21, ? (a) 23 (b) 22 (c) 25 (d) 24
  2. 2.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 40 (c) 41 (d) 42
  3. 3.What comes next? 1, 8, 5, 12, 9, 16, ? (a) 19 (b) 23 (c) 12 (d) 13
  4. 4.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 16 (b) 22 (c) 17 (d) 19
  5. 5.What comes next? 42, 37, 32, 27, 22, ? (a) 18 (b) 16 (c) 17 (d) 12
  6. 6.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 23 (b) 22 (c) 17 (d) 18
  7. 7.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 7 (c) 10 (d) 8
  8. 8.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 36 (c) 38 (d) 37
  9. 9.What comes next? 69, 61, 53, 45, 37, ? (a) 21 (b) 29 (c) 30 (d) 28
  10. 10.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 9 (c) 8 (d) 10
  11. 11.What comes next? 6, 14, 7, 15, 8, 16, ? (a) 24 (b) 9 (c) 8 (d) 23
  12. 12.What comes next? 38, 33, 28, 23, 18, ? (a) 8 (b) 14 (c) 13 (d) 12
  13. 13.What comes next? 4, 9, 14, 19, 24, ? (a) 30 (b) 29 (c) 34 (d) 28
  14. 14.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 216 (d) 270
  15. 15.What comes next? 67, 59, 51, 43, 35, ? (a) 26 (b) 19 (c) 27 (d) 28
  16. 16.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 41 (c) 40 (d) 38
  17. 17.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  18. 18.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 1 (c) 5 (d) 7
  19. 19.What comes next? 26, 33, 40, 47, 54, ? (a) 62 (b) 68 (c) 60 (d) 61
  20. 20.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 41 (c) 39 (d) 40
  21. 21.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 25 (b) 29 (c) 31 (d) 24
  22. 22.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 13 (b) 19 (c) 16 (d) 14
  23. 23.What comes next? 25, 27, 29, 31, 33, ? (a) 37 (b) 34 (c) 36 (d) 35
  24. 24.What comes next? 12, 17, 13, 18, 14, 19, ? (a) 24 (b) 23 (c) 15 (d) 14
  25. 25.What comes next? 57, 50, 43, 36, 29, ? (a) 22 (b) 15 (c) 21 (d) 23
  26. 26.What comes next? 9, 18, 15, 24, 21, 30, ? (a) 33 (b) 26 (c) 27 (d) 39
  27. 27.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 128 (d) 129
  28. 28.What comes next? 13, 20, 17, 24, 21, 28, ? (a) 31 (b) 24 (c) 35 (d) 25
  29. 29.What comes next? 17, 15, 13, 11, 9, ? (a) 7 (b) 5 (c) 6 (d) 8
  30. 30.What comes next? 15, 24, 16, 25, 17, 26, ? (a) 34 (b) 35 (c) 17 (d) 18
  31. 31.What comes next? 40, 37, 34, 31, 28, ? (a) 24 (b) 22 (c) 25 (d) 26
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  33. 33.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 7 (c) 5 (d) 4
  34. 34.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 3 (c) 5 (d) 4
  35. 35.What comes next? 22, 26, 30, 34, 38, ? (a) 43 (b) 46 (c) 42 (d) 41
  36. 36.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 25 (c) 26 (d) 23
  37. 37.What comes next? 17, 22, 27, 32, 37, ? (a) 47 (b) 43 (c) 42 (d) 41
  38. 38.What comes next? 27, 31, 35, 39, 43, ? (a) 48 (b) 51 (c) 47 (d) 46
  39. 39.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 97 (d) 120
  40. 40.What comes next? 35, 31, 27, 23, 19, ? (a) 15 (b) 16 (c) 14 (d) 11

Answer key

  1. 23
  2. 41
  3. 13
  4. 17
  5. 17
  6. 18
  7. 8
  8. 36
  9. 29
  10. 9
  11. 9
  12. 13
  13. 29
  14. 243
  15. 27
  16. 39
  17. 162
  18. 6
  19. 61
  20. 40
  21. 25
  22. 14
  23. 35
  24. 15
  25. 22
  26. 27
  27. 128
  28. 25
  29. 7
  30. 18
  31. 25
  32. 64
  33. 5
  34. 3
  35. 42
  36. 24
  37. 42
  38. 47
  39. 96
  40. 15

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