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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 371 · 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, 19, 27, 35, 43, ? (a) 59 (b) 52 (c) 50 (d) 51
  2. 2.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 31 (b) 37 (c) 30 (d) 33
  3. 3.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 11 (b) 5 (c) 10 (d) 6
  4. 4.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 31 (c) 28 (d) 29
  5. 5.What comes next? 29, 33, 37, 41, 45, ? (a) 53 (b) 49 (c) 50 (d) 48
  6. 6.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 13 (c) 14 (d) 15
  7. 7.What comes next? 18, 21, 24, 27, 30, ? (a) 36 (b) 33 (c) 34 (d) 32
  8. 8.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 38 (c) 37 (d) 36
  9. 9.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 46 (c) 44 (d) 43
  10. 10.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 25 (c) 26 (d) 24
  11. 11.What comes next? 27, 30, 33, 36, 39, ? (a) 42 (b) 45 (c) 41 (d) 43
  12. 12.What comes next? 30, 32, 34, 36, 38, ? (a) 40 (b) 39 (c) 42 (d) 41
  13. 13.What comes next? 8, 14, 13, 19, 18, 24, ? (a) 22 (b) 23 (c) 25 (d) 30
  14. 14.What comes next? 14, 24, 34, 44, 54, ? (a) 65 (b) 64 (c) 74 (d) 63
  15. 15.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 17 (b) 20 (c) 14 (d) 15
  16. 16.What comes next? 8, 12, 16, 20, 24, ? (a) 32 (b) 27 (c) 29 (d) 28
  17. 17.What comes next? 12, 19, 26, 33, 40, ? (a) 48 (b) 54 (c) 47 (d) 46
  18. 18.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 30 (c) 31 (d) 29
  19. 19.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  20. 20.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 28 (c) 27 (d) 26
  21. 21.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 46 (c) 45 (d) 47
  22. 22.What comes next? 10, 13, 16, 19, 22, ? (a) 28 (b) 24 (c) 25 (d) 26
  23. 23.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 34 (c) 36 (d) 37
  24. 24.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  25. 25.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 32 (c) 30 (d) 33
  26. 26.What comes next? 20, 28, 24, 32, 28, 36, ? (a) 44 (b) 40 (c) 31 (d) 32
  27. 27.What comes next? 10, 15, 14, 19, 18, 23, ? (a) 24 (b) 21 (c) 28 (d) 22
  28. 28.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  29. 29.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  30. 30.What comes next? 47, 41, 35, 29, 23, ? (a) 11 (b) 17 (c) 18 (d) 16
  31. 31.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 26 (b) 21 (c) 19 (d) 18
  32. 32.What comes next? 27, 25, 23, 21, 19, ? (a) 18 (b) 15 (c) 17 (d) 16
  33. 33.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 27 (c) 29 (d) 28
  34. 34.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 8 (c) 3 (d) 7
  35. 35.What comes next? 18, 27, 36, 45, 54, ? (a) 72 (b) 63 (c) 64 (d) 62
  36. 36.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 3 (c) 4 (d) 5
  37. 37.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 40 (c) 42 (d) 43
  38. 38.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 26 (c) 24 (d) 25
  39. 39.What comes next? 13, 17, 15, 19, 17, 21, ? (a) 18 (b) 25 (c) 23 (d) 19
  40. 40.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 27 (c) 29 (d) 30

Answer key

  1. 51
  2. 31
  3. 6
  4. 29
  5. 49
  6. 13
  7. 33
  8. 37
  9. 44
  10. 25
  11. 42
  12. 40
  13. 23
  14. 64
  15. 15
  16. 28
  17. 47
  18. 30
  19. 81
  20. 26
  21. 45
  22. 25
  23. 35
  24. 243
  25. 31
  26. 32
  27. 22
  28. 64
  29. 32
  30. 17
  31. 19
  32. 17
  33. 27
  34. 7
  35. 63
  36. 3
  37. 41
  38. 25
  39. 19
  40. 28

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