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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 483 · 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? 18, 29, 40, 51, 62, ? (a) 84 (b) 72 (c) 73 (d) 74
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  3. 3.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 13 (c) 12 (d) 10
  4. 4.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 23 (b) 27 (c) 22 (d) 28
  5. 5.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 49 (c) 52 (d) 50
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  7. 7.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  8. 8.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 23 (c) 26 (d) 24
  9. 9.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 20 (c) 18 (d) 19
  10. 10.What comes next? 56, 47, 38, 29, 20, ? (a) 12 (b) 2 (c) 10 (d) 11
  11. 11.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 2 (c) 4 (d) 1
  12. 12.What comes next? 20, 24, 28, 32, 36, ? (a) 41 (b) 39 (c) 40 (d) 44
  13. 13.What comes next? 18, 28, 38, 48, 58, ? (a) 69 (b) 67 (c) 78 (d) 68
  14. 14.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 28 (c) 27 (d) 29
  15. 15.What comes next? 58, 52, 46, 40, 34, ? (a) 29 (b) 27 (c) 22 (d) 28
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  17. 17.What comes next? 10, 19, 28, 37, 46, ? (a) 55 (b) 64 (c) 54 (d) 56
  18. 18.What comes next? 8, 18, 28, 38, 48, ? (a) 59 (b) 58 (c) 68 (d) 57
  19. 19.What comes next? 12, 20, 15, 23, 18, 26, ? (a) 21 (b) 34 (c) 20 (d) 31
  20. 20.What comes next? 2, 6, 10, 14, 18, ? (a) 23 (b) 22 (c) 26 (d) 21
  21. 21.What comes next? 3, 11, 19, 27, 35, ? (a) 44 (b) 51 (c) 42 (d) 43
  22. 22.What comes next? 44, 38, 32, 26, 20, ? (a) 13 (b) 14 (c) 15 (d) 8
  23. 23.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 8 (b) 9 (c) 4 (d) 3
  24. 24.What comes next? 4, 15, 26, 37, 48, ? (a) 59 (b) 60 (c) 70 (d) 58
  25. 25.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 23 (c) 20 (d) 22
  26. 26.What comes next? 24, 32, 40, 48, 56, ? (a) 72 (b) 63 (c) 64 (d) 65
  27. 27.What comes next? 6, 13, 7, 14, 8, 15, ? (a) 22 (b) 21 (c) 8 (d) 9
  28. 28.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 17 (b) 21 (c) 15 (d) 14
  29. 29.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 73 (c) 71 (d) 72
  30. 30.What comes next? 6, 12, 8, 14, 10, 16, ? (a) 22 (b) 20 (c) 12 (d) 11
  31. 31.What comes next? 18, 23, 20, 25, 22, 27, ? (a) 32 (b) 23 (c) 30 (d) 24
  32. 32.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 38 (c) 35 (d) 37
  33. 33.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  34. 34.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 48 (c) 50 (d) 51
  35. 35.What comes next? 11, 21, 31, 41, 51, ? (a) 71 (b) 60 (c) 61 (d) 62
  36. 36.What comes next? 13, 24, 35, 46, 57, ? (a) 69 (b) 79 (c) 67 (d) 68
  37. 37.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 34 (c) 36 (d) 35
  38. 38.What comes next? 14, 16, 18, 20, 22, ? (a) 24 (b) 26 (c) 23 (d) 25
  39. 39.What comes next? 3, 11, 10, 18, 17, 25, ? (a) 33 (b) 26 (c) 24 (d) 23
  40. 40.What comes next? 6, 8, 10, 12, 14, ? (a) 17 (b) 16 (c) 18 (d) 15

Answer key

  1. 73
  2. 64
  3. 12
  4. 23
  5. 50
  6. 81
  7. 128
  8. 24
  9. 19
  10. 11
  11. 1
  12. 40
  13. 68
  14. 28
  15. 28
  16. 96
  17. 55
  18. 58
  19. 21
  20. 22
  21. 43
  22. 14
  23. 4
  24. 59
  25. 21
  26. 64
  27. 9
  28. 15
  29. 72
  30. 12
  31. 24
  32. 36
  33. 32
  34. 49
  35. 61
  36. 68
  37. 34
  38. 24
  39. 24
  40. 16

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