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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 514 · 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, 6, 5, 8, 7, 10, ? (a) 11 (b) 8 (c) 9 (d) 13
  2. 2.What comes next? 14, 17, 20, 23, 26, ? (a) 28 (b) 30 (c) 32 (d) 29
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 144 (d) 90
  4. 4.What comes next? 28, 26, 24, 22, 20, ? (a) 19 (b) 18 (c) 16 (d) 17
  5. 5.What comes next? 55, 47, 39, 31, 23, ? (a) 7 (b) 16 (c) 14 (d) 15
  6. 6.What comes next? 3, 9, 7, 13, 11, 17, ? (a) 19 (b) 14 (c) 15 (d) 23
  7. 7.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 33 (c) 32 (d) 34
  8. 8.What comes next? 19, 23, 28, 34, 41, ? (a) 50 (b) 48 (c) 49 (d) 51
  9. 9.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 43 (c) 42 (d) 44
  10. 10.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 5 (c) 7 (d) 6
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  12. 12.What comes next? 47, 41, 35, 29, 23, ? (a) 17 (b) 16 (c) 18 (d) 11
  13. 13.What comes next? 19, 29, 39, 49, 59, ? (a) 68 (b) 69 (c) 79 (d) 70
  14. 14.What comes next? 7, 14, 9, 16, 11, 18, ? (a) 25 (b) 12 (c) 23 (d) 13
  15. 15.What comes next? 22, 24, 26, 28, 30, ? (a) 32 (b) 34 (c) 31 (d) 33
  16. 16.What comes next? 66, 58, 50, 42, 34, ? (a) 18 (b) 25 (c) 26 (d) 27
  17. 17.What comes next? 24, 35, 46, 57, 68, ? (a) 79 (b) 90 (c) 80 (d) 78
  18. 18.What comes next? 21, 29, 37, 45, 53, ? (a) 60 (b) 61 (c) 69 (d) 62
  19. 19.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 35 (c) 32 (d) 33
  20. 20.What comes next? 59, 50, 41, 32, 23, ? (a) 5 (b) 14 (c) 13 (d) 15
  21. 21.What comes next? 19, 25, 20, 26, 21, 27, ? (a) 22 (b) 21 (c) 32 (d) 33
  22. 22.What comes next? 18, 21, 24, 27, 30, ? (a) 32 (b) 33 (c) 34 (d) 36
  23. 23.What comes next? 55, 49, 43, 37, 31, ? (a) 26 (b) 24 (c) 19 (d) 25
  24. 24.What comes next? 6, 15, 24, 33, 42, ? (a) 50 (b) 60 (c) 52 (d) 51
  25. 25.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  26. 26.What comes next? 22, 30, 38, 46, 54, ? (a) 62 (b) 70 (c) 61 (d) 63
  27. 27.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 14 (c) 12 (d) 10
  28. 28.What comes next? 4, 11, 9, 16, 14, 21, ? (a) 23 (b) 28 (c) 19 (d) 18
  29. 29.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 39 (d) 40
  30. 30.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 7 (b) 6 (c) 11 (d) 9
  31. 31.What comes next? 21, 32, 43, 54, 65, ? (a) 77 (b) 75 (c) 87 (d) 76
  32. 32.What comes next? 41, 33, 25, 17, 9, ? (a) 2 (b) 3 (c) 4 (d) 1
  33. 33.What comes next? 3, 11, 19, 27, 35, ? (a) 51 (b) 44 (c) 42 (d) 43
  34. 34.What comes next? 13, 16, 20, 25, 31, ? (a) 39 (b) 38 (c) 40 (d) 37
  35. 35.What comes next? 1, 9, 4, 12, 7, 15, ? (a) 20 (b) 10 (c) 9 (d) 23
  36. 36.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 31 (c) 30 (d) 28
  37. 37.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 20 (c) 19 (d) 18
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  39. 39.What comes next? 46, 39, 32, 25, 18, ? (a) 12 (b) 4 (c) 10 (d) 11
  40. 40.What comes next? 8, 15, 22, 29, 36, ? (a) 42 (b) 50 (c) 44 (d) 43

Answer key

  1. 9
  2. 29
  3. 162
  4. 18
  5. 15
  6. 15
  7. 33
  8. 49
  9. 43
  10. 7
  11. 32
  12. 17
  13. 69
  14. 13
  15. 32
  16. 26
  17. 79
  18. 61
  19. 33
  20. 14
  21. 22
  22. 33
  23. 25
  24. 51
  25. 64
  26. 62
  27. 10
  28. 19
  29. 39
  30. 7
  31. 76
  32. 1
  33. 43
  34. 38
  35. 10
  36. 29
  37. 19
  38. 243
  39. 11
  40. 43

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