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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 39 · 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? 63, 55, 47, 39, 31, ? (a) 24 (b) 23 (c) 15 (d) 22
  2. 2.What comes next? 34, 28, 22, 16, 10, ? (a) 6 (b) 5 (c) 3 (d) 4
  3. 3.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  4. 4.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 28 (c) 29 (d) 30
  5. 5.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 4 (c) 2 (d) 3
  6. 6.What comes next? 9, 12, 15, 18, 21, ? (a) 24 (b) 23 (c) 27 (d) 25
  7. 7.What comes next? 23, 29, 35, 41, 47, ? (a) 52 (b) 54 (c) 59 (d) 53
  8. 8.What comes next? 23, 34, 45, 56, 67, ? (a) 77 (b) 79 (c) 78 (d) 89
  9. 9.What comes next? 22, 31, 40, 49, 58, ? (a) 67 (b) 66 (c) 76 (d) 68
  10. 10.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 30 (c) 31 (d) 32
  11. 11.What comes next? 30, 36, 42, 48, 54, ? (a) 61 (b) 66 (c) 60 (d) 59
  12. 12.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 4 (b) 11 (c) 10 (d) 3
  13. 13.What comes next? 29, 27, 25, 23, 21, ? (a) 17 (b) 20 (c) 18 (d) 19
  14. 14.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 6 (c) 7 (d) 9
  15. 15.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 13 (c) 10 (d) 11
  16. 16.What comes next? 51, 45, 39, 33, 27, ? (a) 20 (b) 15 (c) 22 (d) 21
  17. 17.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 39 (c) 38 (d) 37
  18. 18.What comes next? 41, 33, 25, 17, 9, ? (a) 3 (b) 4 (c) 2 (d) 1
  19. 19.What comes next? 2, 11, 20, 29, 38, ? (a) 48 (b) 47 (c) 46 (d) 56
  20. 20.What comes next? 7, 14, 9, 16, 11, 18, ? (a) 13 (b) 12 (c) 25 (d) 23
  21. 21.What comes next? 16, 25, 34, 43, 52, ? (a) 61 (b) 60 (c) 70 (d) 62
  22. 22.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 41 (c) 39 (d) 40
  23. 23.What comes next? 10, 22, 34, 46, 58, ? (a) 70 (b) 82 (c) 71 (d) 69
  24. 24.What comes next? 9, 17, 12, 20, 15, 23, ? (a) 28 (b) 31 (c) 18 (d) 17
  25. 25.What comes next? 20, 32, 44, 56, 68, ? (a) 92 (b) 81 (c) 79 (d) 80
  26. 26.What comes next? 21, 31, 41, 51, 61, ? (a) 81 (b) 70 (c) 72 (d) 71
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  28. 28.What comes next? 8, 13, 9, 14, 10, 15, ? (a) 20 (b) 19 (c) 10 (d) 11
  29. 29.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 24 (c) 23 (d) 21
  30. 30.What comes next? 20, 26, 32, 38, 44, ? (a) 56 (b) 49 (c) 50 (d) 51
  31. 31.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 17 (d) 18
  32. 32.What comes next? 12, 17, 13, 18, 14, 19, ? (a) 15 (b) 14 (c) 23 (d) 24
  33. 33.What comes next? 30, 33, 36, 39, 42, ? (a) 48 (b) 44 (c) 46 (d) 45
  34. 34.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 10 (b) 16 (c) 11 (d) 13
  35. 35.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 10 (c) 7 (d) 8
  36. 36.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 3 (c) 4 (d) 2
  37. 37.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  38. 38.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 25 (b) 31 (c) 26 (d) 28
  39. 39.What comes next? 33, 31, 29, 27, 25, ? (a) 22 (b) 21 (c) 24 (d) 23
  40. 40.What comes next? 30, 32, 34, 36, 38, ? (a) 40 (b) 42 (c) 39 (d) 41

Answer key

  1. 23
  2. 4
  3. 32
  4. 29
  5. 3
  6. 24
  7. 53
  8. 78
  9. 67
  10. 30
  11. 60
  12. 4
  13. 19
  14. 7
  15. 11
  16. 21
  17. 37
  18. 1
  19. 47
  20. 13
  21. 61
  22. 39
  23. 70
  24. 18
  25. 80
  26. 71
  27. 81
  28. 11
  29. 22
  30. 50
  31. 17
  32. 15
  33. 45
  34. 11
  35. 8
  36. 2
  37. 96
  38. 26
  39. 23
  40. 40

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