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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 235 · 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? 52, 45, 38, 31, 24, ? (a) 18 (b) 17 (c) 16 (d) 10
  2. 2.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 36 (c) 37 (d) 34
  3. 3.What comes next? 21, 26, 31, 36, 41, ? (a) 47 (b) 45 (c) 51 (d) 46
  4. 4.What comes next? 9, 15, 11, 17, 13, 19, ? (a) 25 (b) 14 (c) 23 (d) 15
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  6. 6.What comes next? 27, 29, 31, 33, 35, ? (a) 39 (b) 37 (c) 38 (d) 36
  7. 7.What comes next? 42, 36, 30, 24, 18, ? (a) 11 (b) 13 (c) 6 (d) 12
  8. 8.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 22 (b) 31 (c) 27 (d) 23
  9. 9.What comes next? 21, 25, 29, 33, 37, ? (a) 40 (b) 41 (c) 45 (d) 42
  10. 10.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 41 (c) 43 (d) 42
  11. 11.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 37 (c) 38 (d) 36
  12. 12.What comes next? 20, 32, 44, 56, 68, ? (a) 81 (b) 79 (c) 80 (d) 92
  13. 13.What comes next? 49, 40, 31, 22, 13, ? (a) 6 (b) 3 (c) 5 (d) 4
  14. 14.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 3 (c) 2 (d) 5
  15. 15.What comes next? 10, 15, 12, 17, 14, 19, ? (a) 24 (b) 15 (c) 16 (d) 22
  16. 16.What comes next? 2, 11, 7, 16, 12, 21, ? (a) 16 (b) 30 (c) 25 (d) 17
  17. 17.What comes next? 9, 17, 25, 33, 41, ? (a) 49 (b) 57 (c) 50 (d) 48
  18. 18.What comes next? 9, 12, 15, 18, 21, ? (a) 25 (b) 23 (c) 27 (d) 24
  19. 19.What comes next? 30, 36, 42, 48, 54, ? (a) 66 (b) 60 (c) 59 (d) 61
  20. 20.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 22 (c) 23 (d) 21
  21. 21.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 25 (c) 26 (d) 27
  22. 22.What comes next? 56, 49, 42, 35, 28, ? (a) 22 (b) 14 (c) 20 (d) 21
  23. 23.What comes next? 5, 11, 9, 15, 13, 19, ? (a) 25 (b) 16 (c) 17 (d) 21
  24. 24.What comes next? 8, 15, 13, 20, 18, 25, ? (a) 27 (b) 23 (c) 32 (d) 22
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  26. 26.What comes next? 45, 37, 29, 21, 13, ? (a) 5 (b) 6 (c) 7 (d) 4
  27. 27.What comes next? 63, 55, 47, 39, 31, ? (a) 23 (b) 15 (c) 24 (d) 22
  28. 28.What comes next? 7, 18, 29, 40, 51, ? (a) 73 (b) 63 (c) 61 (d) 62
  29. 29.What comes next? 19, 26, 33, 40, 47, ? (a) 55 (b) 61 (c) 54 (d) 53
  30. 30.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 13 (c) 14 (d) 9
  31. 31.What comes next? 36, 31, 26, 21, 16, ? (a) 10 (b) 11 (c) 12 (d) 6
  32. 32.What comes next? 12, 20, 28, 36, 44, ? (a) 51 (b) 52 (c) 60 (d) 53
  33. 33.What comes next? 10, 18, 26, 34, 42, ? (a) 58 (b) 51 (c) 49 (d) 50
  34. 34.What comes next? 2, 6, 11, 17, 24, ? (a) 34 (b) 33 (c) 32 (d) 31
  35. 35.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 13 (b) 10 (c) 11 (d) 15
  36. 36.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 39 (c) 38 (d) 37
  37. 37.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  38. 38.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 34 (c) 33 (d) 36
  39. 39.What comes next? 30, 34, 38, 42, 46, ? (a) 50 (b) 54 (c) 49 (d) 51
  40. 40.What comes next? 19, 23, 27, 31, 35, ? (a) 38 (b) 43 (c) 40 (d) 39

Answer key

  1. 17
  2. 35
  3. 46
  4. 15
  5. 243
  6. 37
  7. 12
  8. 23
  9. 41
  10. 42
  11. 37
  12. 80
  13. 4
  14. 3
  15. 16
  16. 17
  17. 49
  18. 24
  19. 60
  20. 21
  21. 25
  22. 21
  23. 17
  24. 23
  25. 81
  26. 5
  27. 23
  28. 62
  29. 54
  30. 14
  31. 11
  32. 52
  33. 50
  34. 32
  35. 11
  36. 38
  37. 32
  38. 34
  39. 50
  40. 39

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