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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 82 · 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? 16, 17, 19, 22, 26, ? (a) 31 (b) 32 (c) 30 (d) 33
  2. 2.What comes next? 4, 8, 12, 16, 20, ? (a) 24 (b) 28 (c) 25 (d) 23
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  5. 5.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 39 (c) 40 (d) 38
  6. 6.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 17 (d) 19
  7. 7.What comes next? 7, 18, 29, 40, 51, ? (a) 62 (b) 61 (c) 63 (d) 73
  8. 8.What comes next? 25, 36, 47, 58, 69, ? (a) 91 (b) 81 (c) 80 (d) 79
  9. 9.What comes next? 15, 21, 20, 26, 25, 31, ? (a) 29 (b) 37 (c) 32 (d) 30
  10. 10.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 26 (c) 28 (d) 25
  11. 11.What comes next? 4, 13, 22, 31, 40, ? (a) 50 (b) 49 (c) 48 (d) 58
  12. 12.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 37 (c) 39 (d) 40
  13. 13.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  14. 14.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 11 (b) 8 (c) 9 (d) 13
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  16. 16.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 18 (d) 17
  17. 17.What comes next? 7, 12, 8, 13, 9, 14, ? (a) 18 (b) 10 (c) 9 (d) 19
  18. 18.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 22 (c) 25 (d) 23
  19. 19.What comes next? 35, 29, 23, 17, 11, ? (a) 6 (b) 5 (c) 4 (d) 7
  20. 20.What comes next? 10, 21, 32, 43, 54, ? (a) 76 (b) 65 (c) 64 (d) 66
  21. 21.What comes next? 56, 49, 42, 35, 28, ? (a) 20 (b) 21 (c) 14 (d) 22
  22. 22.What comes next? 18, 22, 26, 30, 34, ? (a) 42 (b) 39 (c) 37 (d) 38
  23. 23.What comes next? 9, 13, 17, 21, 25, ? (a) 33 (b) 29 (c) 28 (d) 30
  24. 24.What comes next? 7, 19, 31, 43, 55, ? (a) 67 (b) 66 (c) 68 (d) 79
  25. 25.What comes next? 20, 29, 27, 36, 34, 43, ? (a) 40 (b) 41 (c) 52 (d) 45
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  27. 27.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 15 (b) 14 (c) 19 (d) 17
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  29. 29.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 35 (c) 34 (d) 36
  30. 30.What comes next? 64, 57, 50, 43, 36, ? (a) 28 (b) 30 (c) 22 (d) 29
  31. 31.What comes next? 20, 28, 36, 44, 52, ? (a) 68 (b) 59 (c) 60 (d) 61
  32. 32.What comes next? 38, 31, 24, 17, 10, ? (a) 3 (b) 2 (c) 5 (d) 4
  33. 33.What comes next? 6, 9, 12, 15, 18, ? (a) 24 (b) 22 (c) 20 (d) 21
  34. 34.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 33 (c) 30 (d) 31
  35. 35.What comes next? 18, 25, 24, 31, 30, 37, ? (a) 38 (b) 35 (c) 36 (d) 44
  36. 36.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 32 (c) 31 (d) 34
  37. 37.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 50 (c) 47 (d) 48
  38. 38.What comes next? 25, 27, 29, 31, 33, ? (a) 37 (b) 36 (c) 34 (d) 35
  39. 39.What comes next? 33, 27, 21, 15, 9, ? (a) 4 (b) 5 (c) 3 (d) 2
  40. 40.What comes next? 41, 34, 27, 20, 13, ? (a) 5 (b) 7 (c) 8 (d) 6

Answer key

  1. 31
  2. 24
  3. 81
  4. 128
  5. 38
  6. 17
  7. 62
  8. 80
  9. 30
  10. 26
  11. 49
  12. 38
  13. 32
  14. 9
  15. 162
  16. 18
  17. 10
  18. 23
  19. 5
  20. 65
  21. 21
  22. 38
  23. 29
  24. 67
  25. 41
  26. 64
  27. 15
  28. 96
  29. 35
  30. 29
  31. 60
  32. 3
  33. 21
  34. 31
  35. 36
  36. 32
  37. 48
  38. 35
  39. 3
  40. 6

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