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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 547 · 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? 4, 6, 9, 13, 18, ? (a) 25 (b) 23 (c) 26 (d) 24
  2. 2.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 30 (c) 31 (d) 32
  3. 3.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 36 (c) 37 (d) 35
  4. 4.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 31 (c) 32 (d) 30
  5. 5.What comes next? 4, 10, 7, 13, 10, 16, ? (a) 22 (b) 13 (c) 19 (d) 12
  6. 6.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 37 (c) 36 (d) 34
  7. 7.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 10 (b) 15 (c) 11 (d) 16
  8. 8.What comes next? 24, 26, 28, 30, 32, ? (a) 35 (b) 36 (c) 34 (d) 33
  9. 9.What comes next? 28, 40, 52, 64, 76, ? (a) 89 (b) 100 (c) 87 (d) 88
  10. 10.What comes next? 12, 21, 30, 39, 48, ? (a) 56 (b) 57 (c) 66 (d) 58
  11. 11.What comes next? 12, 14, 16, 18, 20, ? (a) 23 (b) 24 (c) 21 (d) 22
  12. 12.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 29 (c) 31 (d) 32
  13. 13.What comes next? 35, 29, 23, 17, 11, ? (a) 6 (b) 7 (c) 4 (d) 5
  14. 14.What comes next? 18, 21, 25, 30, 36, ? (a) 45 (b) 43 (c) 42 (d) 44
  15. 15.What comes next? 30, 36, 42, 48, 54, ? (a) 60 (b) 61 (c) 59 (d) 66
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  17. 17.What comes next? 49, 41, 33, 25, 17, ? (a) 9 (b) 10 (c) 1 (d) 8
  18. 18.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  19. 19.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 1 (c) 2 (d) 4
  20. 20.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 34 (d) 36
  21. 21.What comes next? 68, 60, 52, 44, 36, ? (a) 20 (b) 27 (c) 29 (d) 28
  22. 22.What comes next? 17, 19, 21, 23, 25, ? (a) 26 (b) 28 (c) 29 (d) 27
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  24. 24.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 12 (c) 11 (d) 13
  25. 25.What comes next? 14, 20, 17, 23, 20, 26, ? (a) 23 (b) 32 (c) 22 (d) 29
  26. 26.What comes next? 39, 35, 31, 27, 23, ? (a) 19 (b) 20 (c) 15 (d) 18
  27. 27.What comes next? 7, 12, 10, 15, 13, 18, ? (a) 20 (b) 16 (c) 15 (d) 23
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  29. 29.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 3 (c) 2 (d) 5
  30. 30.What comes next? 45, 37, 29, 21, 13, ? (a) 6 (b) 4 (c) 5 (d) 7
  31. 31.What comes next? 17, 29, 41, 53, 65, ? (a) 76 (b) 78 (c) 89 (d) 77
  32. 32.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 14 (b) 17 (c) 12 (d) 11
  33. 33.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 48 (c) 49 (d) 47
  34. 34.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 25 (b) 24 (c) 19 (d) 20
  35. 35.What comes next? 35, 33, 31, 29, 27, ? (a) 26 (b) 25 (c) 23 (d) 24
  36. 36.What comes next? 41, 37, 33, 29, 25, ? (a) 20 (b) 17 (c) 22 (d) 21
  37. 37.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 15 (d) 16
  38. 38.What comes next? 27, 23, 19, 15, 11, ? (a) 3 (b) 7 (c) 8 (d) 6
  39. 39.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 24 (c) 26 (d) 25
  40. 40.What comes next? 54, 46, 38, 30, 22, ? (a) 13 (b) 14 (c) 15 (d) 6

Answer key

  1. 24
  2. 31
  3. 36
  4. 31
  5. 13
  6. 35
  7. 11
  8. 34
  9. 88
  10. 57
  11. 22
  12. 30
  13. 5
  14. 43
  15. 60
  16. 32
  17. 9
  18. 162
  19. 2
  20. 34
  21. 28
  22. 27
  23. 81
  24. 12
  25. 23
  26. 19
  27. 16
  28. 64
  29. 3
  30. 5
  31. 77
  32. 12
  33. 48
  34. 20
  35. 25
  36. 21
  37. 16
  38. 7
  39. 24
  40. 14

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