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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 133 · 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) 216 (b) 270 (c) 243 (d) 135
  2. 2.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 46 (c) 44 (d) 45
  3. 3.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 30 (c) 33 (d) 31
  4. 4.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 5 (c) 4 (d) 6
  5. 5.What comes next? 10, 18, 15, 23, 20, 28, ? (a) 25 (b) 36 (c) 24 (d) 31
  6. 6.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 51 (c) 50 (d) 52
  7. 7.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 39 (c) 40 (d) 38
  8. 8.What comes next? 16, 24, 19, 27, 22, 30, ? (a) 25 (b) 24 (c) 35 (d) 38
  9. 9.What comes next? 26, 38, 50, 62, 74, ? (a) 85 (b) 87 (c) 86 (d) 98
  10. 10.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 3 (b) 4 (c) 15 (d) 14
  11. 11.What comes next? 45, 42, 39, 36, 33, ? (a) 31 (b) 30 (c) 27 (d) 29
  12. 12.What comes next? 29, 34, 39, 44, 49, ? (a) 55 (b) 53 (c) 54 (d) 59
  13. 13.What comes next? 26, 29, 32, 35, 38, ? (a) 41 (b) 40 (c) 42 (d) 44
  14. 14.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 10 (c) 12 (d) 8
  15. 15.What comes next? 9, 16, 13, 20, 17, 24, ? (a) 21 (b) 27 (c) 31 (d) 20
  16. 16.What comes next? 62, 55, 48, 41, 34, ? (a) 20 (b) 28 (c) 27 (d) 26
  17. 17.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 24 (b) 25 (c) 32 (d) 27
  18. 18.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  19. 19.What comes next? 20, 26, 32, 38, 44, ? (a) 49 (b) 56 (c) 50 (d) 51
  20. 20.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 31 (c) 30 (d) 32
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  22. 22.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 34 (c) 33 (d) 32
  23. 23.What comes next? 46, 41, 36, 31, 26, ? (a) 21 (b) 16 (c) 22 (d) 20
  24. 24.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 240 (d) 192
  25. 25.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 25 (c) 23 (d) 24
  26. 26.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 9 (c) 6 (d) 8
  27. 27.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  28. 28.What comes next? 51, 45, 39, 33, 27, ? (a) 22 (b) 20 (c) 21 (d) 15
  29. 29.What comes next? 46, 40, 34, 28, 22, ? (a) 15 (b) 17 (c) 16 (d) 10
  30. 30.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 28 (c) 27 (d) 30
  31. 31.What comes next? 43, 38, 33, 28, 23, ? (a) 19 (b) 18 (c) 17 (d) 13
  32. 32.What comes next? 19, 26, 22, 29, 25, 32, ? (a) 27 (b) 39 (c) 36 (d) 28
  33. 33.What comes next? 55, 49, 43, 37, 31, ? (a) 26 (b) 25 (c) 19 (d) 24
  34. 34.What comes next? 12, 19, 17, 24, 22, 29, ? (a) 26 (b) 27 (c) 31 (d) 36
  35. 35.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 6 (c) 8 (d) 7
  36. 36.What comes next? 11, 13, 15, 17, 19, ? (a) 23 (b) 21 (c) 20 (d) 22
  37. 37.What comes next? 31, 28, 25, 22, 19, ? (a) 16 (b) 17 (c) 13 (d) 15
  38. 38.What comes next? 17, 23, 29, 35, 41, ? (a) 48 (b) 47 (c) 46 (d) 53
  39. 39.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 35 (c) 36 (d) 37
  40. 40.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 1 (c) 3 (d) 4

Answer key

  1. 243
  2. 44
  3. 31
  4. 5
  5. 25
  6. 50
  7. 38
  8. 25
  9. 86
  10. 4
  11. 30
  12. 54
  13. 41
  14. 8
  15. 21
  16. 27
  17. 25
  18. 162
  19. 50
  20. 31
  21. 81
  22. 33
  23. 21
  24. 192
  25. 24
  26. 7
  27. 96
  28. 21
  29. 16
  30. 28
  31. 18
  32. 28
  33. 25
  34. 27
  35. 7
  36. 21
  37. 16
  38. 47
  39. 36
  40. 2

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