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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 454 · 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? 20, 21, 23, 26, 30, ? (a) 34 (b) 35 (c) 36 (d) 37
  2. 2.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 30 (c) 32 (d) 31
  3. 3.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 25 (b) 12 (c) 11 (d) 24
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  6. 6.What comes next? 29, 25, 21, 17, 13, ? (a) 9 (b) 8 (c) 10 (d) 5
  7. 7.What comes next? 1, 8, 4, 11, 7, 14, ? (a) 18 (b) 9 (c) 21 (d) 10
  8. 8.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  10. 10.What comes next? 12, 21, 18, 27, 24, 33, ? (a) 30 (b) 36 (c) 42 (d) 29
  11. 11.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 5 (c) 6 (d) 2
  12. 12.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 34 (c) 33 (d) 31
  13. 13.What comes next? 38, 33, 28, 23, 18, ? (a) 8 (b) 13 (c) 14 (d) 12
  14. 14.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 26 (c) 27 (d) 28
  15. 15.What comes next? 32, 29, 26, 23, 20, ? (a) 16 (b) 18 (c) 14 (d) 17
  16. 16.What comes next? 8, 12, 16, 20, 24, ? (a) 32 (b) 27 (c) 28 (d) 29
  17. 17.What comes next? 51, 46, 41, 36, 31, ? (a) 27 (b) 26 (c) 25 (d) 21
  18. 18.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 36 (c) 34 (d) 37
  19. 19.What comes next? 18, 21, 24, 27, 30, ? (a) 32 (b) 33 (c) 34 (d) 36
  20. 20.What comes next? 32, 26, 20, 14, 8, ? (a) 2 (b) 3 (c) 1 (d) 4
  21. 21.What comes next? 49, 41, 33, 25, 17, ? (a) 10 (b) 9 (c) 1 (d) 8
  22. 22.What comes next? 18, 16, 14, 12, 10, ? (a) 7 (b) 6 (c) 8 (d) 9
  23. 23.What comes next? 3, 7, 11, 15, 19, ? (a) 27 (b) 24 (c) 22 (d) 23
  24. 24.What comes next? 20, 26, 32, 38, 44, ? (a) 51 (b) 49 (c) 50 (d) 56
  25. 25.What comes next? 6, 11, 16, 21, 26, ? (a) 31 (b) 32 (c) 30 (d) 36
  26. 26.What comes next? 22, 32, 42, 52, 62, ? (a) 73 (b) 71 (c) 72 (d) 82
  27. 27.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  28. 28.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 2 (c) 4 (d) 3
  29. 29.What comes next? 48, 41, 34, 27, 20, ? (a) 14 (b) 13 (c) 12 (d) 6
  30. 30.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 40 (c) 41 (d) 42
  31. 31.What comes next? 39, 32, 25, 18, 11, ? (a) 6 (b) 3 (c) 4 (d) 5
  32. 32.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 9 (c) 13 (d) 14
  33. 33.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 33 (c) 34 (d) 35
  34. 34.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 9 (b) 15 (c) 16 (d) 8
  35. 35.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 40 (c) 37 (d) 38
  36. 36.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 31 (c) 32 (d) 30
  37. 37.What comes next? 12, 16, 20, 24, 28, ? (a) 36 (b) 31 (c) 32 (d) 33
  38. 38.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 21 (c) 23 (d) 22
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  40. 40.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 22 (c) 21 (d) 20

Answer key

  1. 35
  2. 30
  3. 12
  4. 162
  5. 96
  6. 9
  7. 10
  8. 160
  9. 81
  10. 30
  11. 5
  12. 32
  13. 13
  14. 27
  15. 17
  16. 28
  17. 26
  18. 35
  19. 33
  20. 2
  21. 9
  22. 8
  23. 23
  24. 50
  25. 31
  26. 72
  27. 192
  28. 1
  29. 13
  30. 40
  31. 4
  32. 14
  33. 34
  34. 9
  35. 38
  36. 30
  37. 32
  38. 23
  39. 243
  40. 21

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