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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 301 · 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? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  2. 2.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 14 (b) 18 (c) 13 (d) 16
  3. 3.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 43 (c) 42 (d) 44
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  5. 5.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 22 (c) 20 (d) 21
  6. 6.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 4 (c) 8 (d) 7
  7. 7.What comes next? 57, 48, 39, 30, 21, ? (a) 12 (b) 3 (c) 11 (d) 13
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  10. 10.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 19 (b) 18 (c) 23 (d) 21
  11. 11.What comes next? 7, 11, 15, 19, 23, ? (a) 27 (b) 31 (c) 26 (d) 28
  12. 12.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 16 (d) 15
  13. 13.What comes next? 7, 10, 13, 16, 19, ? (a) 25 (b) 23 (c) 21 (d) 22
  14. 14.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 33 (c) 30 (d) 32
  15. 15.What comes next? 68, 60, 52, 44, 36, ? (a) 20 (b) 28 (c) 29 (d) 27
  16. 16.What comes next? 19, 22, 25, 28, 31, ? (a) 35 (b) 37 (c) 34 (d) 33
  17. 17.What comes next? 47, 40, 33, 26, 19, ? (a) 5 (b) 13 (c) 11 (d) 12
  18. 18.What comes next? 6, 18, 30, 42, 54, ? (a) 65 (b) 67 (c) 66 (d) 78
  19. 19.What comes next? 4, 6, 8, 10, 12, ? (a) 14 (b) 16 (c) 13 (d) 15
  20. 20.What comes next? 2, 11, 3, 12, 4, 13, ? (a) 21 (b) 22 (c) 4 (d) 5
  21. 21.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 12 (b) 9 (c) 10 (d) 14
  22. 22.What comes next? 7, 12, 17, 22, 27, ? (a) 37 (b) 32 (c) 31 (d) 33
  23. 23.What comes next? 45, 42, 39, 36, 33, ? (a) 31 (b) 27 (c) 30 (d) 29
  24. 24.What comes next? 66, 57, 48, 39, 30, ? (a) 22 (b) 21 (c) 12 (d) 20
  25. 25.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 13 (c) 14 (d) 9
  26. 26.What comes next? 4, 15, 26, 37, 48, ? (a) 60 (b) 58 (c) 59 (d) 70
  27. 27.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 35 (c) 38 (d) 37
  28. 28.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  29. 29.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 35 (c) 33 (d) 32
  30. 30.What comes next? 9, 17, 25, 33, 41, ? (a) 57 (b) 50 (c) 48 (d) 49
  31. 31.What comes next? 68, 59, 50, 41, 32, ? (a) 14 (b) 22 (c) 24 (d) 23
  32. 32.What comes next? 8, 14, 12, 18, 16, 22, ? (a) 24 (b) 28 (c) 20 (d) 19
  33. 33.What comes next? 9, 14, 19, 24, 29, ? (a) 35 (b) 34 (c) 39 (d) 33
  34. 34.What comes next? 10, 12, 15, 19, 24, ? (a) 30 (b) 32 (c) 29 (d) 31
  35. 35.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 3 (c) 6 (d) 4
  36. 36.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 16 (b) 24 (c) 23 (d) 17
  37. 37.What comes next? 33, 29, 25, 21, 17, ? (a) 12 (b) 14 (c) 13 (d) 9
  38. 38.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 21 (b) 14 (c) 23 (d) 15
  39. 39.What comes next? 4, 10, 7, 13, 10, 16, ? (a) 12 (b) 22 (c) 19 (d) 13
  40. 40.What comes next? 10, 16, 22, 28, 34, ? (a) 40 (b) 41 (c) 46 (d) 39

Answer key

  1. 243
  2. 14
  3. 42
  4. 81
  5. 21
  6. 7
  7. 12
  8. 162
  9. 96
  10. 19
  11. 27
  12. 16
  13. 22
  14. 31
  15. 28
  16. 34
  17. 12
  18. 66
  19. 14
  20. 5
  21. 10
  22. 32
  23. 30
  24. 21
  25. 14
  26. 59
  27. 36
  28. 32
  29. 33
  30. 49
  31. 23
  32. 20
  33. 34
  34. 30
  35. 4
  36. 17
  37. 13
  38. 15
  39. 13
  40. 40

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