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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 398 · 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? 11, 16, 13, 18, 15, 20, ? (a) 17 (b) 23 (c) 16 (d) 25
  2. 2.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 26 (c) 27 (d) 29
  3. 3.What comes next? 40, 36, 32, 28, 24, ? (a) 16 (b) 20 (c) 19 (d) 21
  4. 4.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 6 (b) 20 (c) 7 (d) 19
  5. 5.What comes next? 23, 35, 47, 59, 71, ? (a) 84 (b) 95 (c) 82 (d) 83
  6. 6.What comes next? 54, 46, 38, 30, 22, ? (a) 14 (b) 6 (c) 13 (d) 15
  7. 7.What comes next? 6, 13, 10, 17, 14, 21, ? (a) 24 (b) 18 (c) 17 (d) 28
  8. 8.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 27 (b) 21 (c) 23 (d) 20
  9. 9.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 10 (b) 12 (c) 7 (d) 8
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  11. 11.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 14 (b) 10 (c) 9 (d) 15
  12. 12.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 2 (c) 4 (d) 3
  13. 13.What comes next? 49, 42, 35, 28, 21, ? (a) 7 (b) 15 (c) 13 (d) 14
  14. 14.What comes next? 6, 13, 12, 19, 18, 25, ? (a) 32 (b) 26 (c) 23 (d) 24
  15. 15.What comes next? 39, 33, 27, 21, 15, ? (a) 3 (b) 8 (c) 10 (d) 9
  16. 16.What comes next? 33, 28, 23, 18, 13, ? (a) 8 (b) 3 (c) 7 (d) 9
  17. 17.What comes next? 45, 37, 29, 21, 13, ? (a) 6 (b) 7 (c) 4 (d) 5
  18. 18.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  19. 19.What comes next? 33, 30, 27, 24, 21, ? (a) 17 (b) 18 (c) 19 (d) 15
  20. 20.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 27 (d) 28
  21. 21.What comes next? 10, 14, 13, 17, 16, 20, ? (a) 18 (b) 19 (c) 24 (d) 21
  22. 22.What comes next? 14, 12, 10, 8, 6, ? (a) 4 (b) 5 (c) 2 (d) 3
  23. 23.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 29 (c) 28 (d) 27
  24. 24.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 71 (c) 72 (d) 73
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  26. 26.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  27. 27.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 22 (b) 20 (c) 16 (d) 15
  28. 28.What comes next? 20, 28, 36, 44, 52, ? (a) 68 (b) 60 (c) 59 (d) 61
  29. 29.What comes next? 18, 23, 19, 24, 20, 25, ? (a) 20 (b) 21 (c) 30 (d) 29
  30. 30.What comes next? 43, 36, 29, 22, 15, ? (a) 9 (b) 1 (c) 7 (d) 8
  31. 31.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 5 (c) 1 (d) 4
  32. 32.What comes next? 24, 35, 46, 57, 68, ? (a) 80 (b) 90 (c) 79 (d) 78
  33. 33.What comes next? 20, 29, 22, 31, 24, 33, ? (a) 42 (b) 25 (c) 26 (d) 40
  34. 34.What comes next? 17, 24, 31, 38, 45, ? (a) 52 (b) 51 (c) 53 (d) 59
  35. 35.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 17 (d) 16
  36. 36.What comes next? 19, 29, 39, 49, 59, ? (a) 69 (b) 68 (c) 79 (d) 70
  37. 37.What comes next? 22, 32, 42, 52, 62, ? (a) 82 (b) 73 (c) 72 (d) 71
  38. 38.What comes next? 59, 50, 41, 32, 23, ? (a) 14 (b) 13 (c) 5 (d) 15
  39. 39.What comes next? 53, 44, 35, 26, 17, ? (a) 10 (b) 9 (c) 8 (d) 7
  40. 40.What comes next? 30, 28, 26, 24, 22, ? (a) 18 (b) 19 (c) 20 (d) 21

Answer key

  1. 17
  2. 27
  3. 20
  4. 7
  5. 83
  6. 14
  7. 18
  8. 21
  9. 8
  10. 162
  11. 10
  12. 2
  13. 14
  14. 24
  15. 9
  16. 8
  17. 5
  18. 64
  19. 18
  20. 28
  21. 19
  22. 4
  23. 27
  24. 72
  25. 128
  26. 160
  27. 16
  28. 60
  29. 21
  30. 8
  31. 5
  32. 79
  33. 26
  34. 52
  35. 17
  36. 69
  37. 72
  38. 14
  39. 8
  40. 20

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