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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 458 · 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? 55, 49, 43, 37, 31, ? (a) 25 (b) 24 (c) 26 (d) 19
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  3. 3.What comes next? 29, 32, 35, 38, 41, ? (a) 43 (b) 44 (c) 45 (d) 47
  4. 4.What comes next? 52, 44, 36, 28, 20, ? (a) 11 (b) 12 (c) 4 (d) 13
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  6. 6.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 21 (c) 20 (d) 22
  7. 7.What comes next? 10, 15, 14, 19, 18, 23, ? (a) 22 (b) 24 (c) 21 (d) 28
  8. 8.What comes next? 54, 46, 38, 30, 22, ? (a) 15 (b) 13 (c) 14 (d) 6
  9. 9.What comes next? 5, 13, 21, 29, 37, ? (a) 45 (b) 53 (c) 46 (d) 44
  10. 10.What comes next? 25, 21, 17, 13, 9, ? (a) 5 (b) 6 (c) 1 (d) 4
  11. 11.What comes next? 7, 17, 27, 37, 47, ? (a) 67 (b) 57 (c) 56 (d) 58
  12. 12.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 26 (b) 27 (c) 29 (d) 32
  13. 13.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 13 (b) 15 (c) 17 (d) 12
  14. 14.What comes next? 25, 30, 35, 40, 45, ? (a) 55 (b) 50 (c) 51 (d) 49
  15. 15.What comes next? 30, 36, 42, 48, 54, ? (a) 66 (b) 59 (c) 61 (d) 60
  16. 16.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 23 (c) 22 (d) 25
  17. 17.What comes next? 59, 53, 47, 41, 35, ? (a) 30 (b) 23 (c) 29 (d) 28
  18. 18.What comes next? 13, 21, 20, 28, 27, 35, ? (a) 36 (b) 34 (c) 33 (d) 43
  19. 19.What comes next? 50, 45, 40, 35, 30, ? (a) 24 (b) 25 (c) 20 (d) 26
  20. 20.What comes next? 8, 15, 11, 18, 14, 21, ? (a) 25 (b) 28 (c) 16 (d) 17
  21. 21.What comes next? 7, 13, 10, 16, 13, 19, ? (a) 25 (b) 22 (c) 16 (d) 15
  22. 22.What comes next? 55, 50, 45, 40, 35, ? (a) 31 (b) 29 (c) 25 (d) 30
  23. 23.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 14 (b) 11 (c) 16 (d) 12
  24. 24.What comes next? 53, 45, 37, 29, 21, ? (a) 14 (b) 5 (c) 13 (d) 12
  25. 25.What comes next? 41, 33, 25, 17, 9, ? (a) 1 (b) 2 (c) 3 (d) 4
  26. 26.What comes next? 14, 20, 26, 32, 38, ? (a) 43 (b) 50 (c) 45 (d) 44
  27. 27.What comes next? 18, 30, 42, 54, 66, ? (a) 77 (b) 90 (c) 78 (d) 79
  28. 28.What comes next? 57, 50, 43, 36, 29, ? (a) 23 (b) 15 (c) 22 (d) 21
  29. 29.What comes next? 45, 39, 33, 27, 21, ? (a) 14 (b) 15 (c) 9 (d) 16
  30. 30.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 14 (b) 21 (c) 15 (d) 17
  31. 31.What comes next? 37, 34, 31, 28, 25, ? (a) 23 (b) 21 (c) 19 (d) 22
  32. 32.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 23 (c) 22 (d) 24
  33. 33.What comes next? 3, 9, 4, 10, 5, 11, ? (a) 5 (b) 6 (c) 16 (d) 17
  34. 34.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 29 (c) 32 (d) 30
  35. 35.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 23 (b) 10 (c) 21 (d) 11
  36. 36.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 6 (c) 5 (d) 3
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  38. 38.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 37 (c) 36 (d) 35
  39. 39.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 20 (b) 22 (c) 17 (d) 18
  40. 40.What comes next? 9, 15, 12, 18, 15, 21, ? (a) 27 (b) 24 (c) 18 (d) 17

Answer key

  1. 25
  2. 162
  3. 44
  4. 12
  5. 32
  6. 21
  7. 22
  8. 14
  9. 45
  10. 5
  11. 57
  12. 27
  13. 13
  14. 50
  15. 60
  16. 23
  17. 29
  18. 34
  19. 25
  20. 17
  21. 16
  22. 30
  23. 12
  24. 13
  25. 1
  26. 44
  27. 78
  28. 22
  29. 15
  30. 15
  31. 22
  32. 22
  33. 6
  34. 30
  35. 11
  36. 5
  37. 64
  38. 35
  39. 18
  40. 18

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