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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 443 · 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? 56, 47, 38, 29, 20, ? (a) 12 (b) 2 (c) 11 (d) 10
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  3. 3.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 33 (c) 34 (d) 36
  4. 4.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 4 (c) 12 (d) 11
  5. 5.What comes next? 22, 29, 36, 43, 50, ? (a) 56 (b) 57 (c) 64 (d) 58
  6. 6.What comes next? 19, 25, 20, 26, 21, 27, ? (a) 21 (b) 33 (c) 32 (d) 22
  7. 7.What comes next? 54, 46, 38, 30, 22, ? (a) 15 (b) 13 (c) 6 (d) 14
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 24 (d) 32
  9. 9.What comes next? 17, 21, 25, 29, 33, ? (a) 36 (b) 37 (c) 41 (d) 38
  10. 10.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 29 (c) 28 (d) 27
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  12. 12.What comes next? 18, 16, 14, 12, 10, ? (a) 7 (b) 6 (c) 8 (d) 9
  13. 13.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 26 (c) 24 (d) 23
  14. 14.What comes next? 50, 44, 38, 32, 26, ? (a) 19 (b) 20 (c) 14 (d) 21
  15. 15.What comes next? 13, 17, 14, 18, 15, 19, ? (a) 22 (b) 16 (c) 23 (d) 15
  16. 16.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 30 (c) 28 (d) 29
  17. 17.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 25 (c) 27 (d) 28
  18. 18.What comes next? 10, 22, 34, 46, 58, ? (a) 70 (b) 69 (c) 71 (d) 82
  19. 19.What comes next? 21, 29, 37, 45, 53, ? (a) 60 (b) 62 (c) 69 (d) 61
  20. 20.What comes next? 17, 28, 39, 50, 61, ? (a) 72 (b) 71 (c) 83 (d) 73
  21. 21.What comes next? 29, 33, 37, 41, 45, ? (a) 48 (b) 50 (c) 53 (d) 49
  22. 22.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 22 (c) 23 (d) 21
  23. 23.What comes next? 68, 60, 52, 44, 36, ? (a) 27 (b) 28 (c) 20 (d) 29
  24. 24.What comes next? 19, 23, 27, 31, 35, ? (a) 40 (b) 43 (c) 38 (d) 39
  25. 25.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 20 (d) 21
  26. 26.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 36 (c) 34 (d) 37
  27. 27.What comes next? 27, 23, 19, 15, 11, ? (a) 3 (b) 7 (c) 8 (d) 6
  28. 28.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 3 (b) 10 (c) 11 (d) 4
  29. 29.What comes next? 3, 8, 5, 10, 7, 12, ? (a) 9 (b) 8 (c) 15 (d) 17
  30. 30.What comes next? 14, 19, 24, 29, 34, ? (a) 44 (b) 39 (c) 40 (d) 38
  31. 31.What comes next? 61, 54, 47, 40, 33, ? (a) 25 (b) 19 (c) 26 (d) 27
  32. 32.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 34 (c) 32 (d) 35
  33. 33.What comes next? 7, 10, 13, 16, 19, ? (a) 22 (b) 25 (c) 21 (d) 23
  34. 34.What comes next? 44, 38, 32, 26, 20, ? (a) 13 (b) 14 (c) 15 (d) 8
  35. 35.What comes next? 40, 34, 28, 22, 16, ? (a) 10 (b) 9 (c) 4 (d) 11
  36. 36.What comes next? 37, 32, 27, 22, 17, ? (a) 11 (b) 7 (c) 12 (d) 13
  37. 37.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 23 (c) 20 (d) 21
  38. 38.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 30 (b) 35 (c) 26 (d) 25
  39. 39.What comes next? 23, 28, 33, 38, 43, ? (a) 49 (b) 47 (c) 53 (d) 48
  40. 40.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 3 (b) 4 (c) 13 (d) 12

Answer key

  1. 11
  2. 96
  3. 34
  4. 11
  5. 57
  6. 22
  7. 14
  8. 32
  9. 37
  10. 27
  11. 81
  12. 8
  13. 24
  14. 20
  15. 16
  16. 28
  17. 26
  18. 70
  19. 61
  20. 72
  21. 49
  22. 23
  23. 28
  24. 39
  25. 21
  26. 35
  27. 7
  28. 4
  29. 9
  30. 39
  31. 26
  32. 33
  33. 22
  34. 14
  35. 10
  36. 12
  37. 21
  38. 26
  39. 48
  40. 4

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