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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 286 · 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? 3, 7, 12, 18, 25, ? (a) 35 (b) 33 (c) 32 (d) 34
  3. 3.What comes next? 30, 28, 26, 24, 22, ? (a) 19 (b) 18 (c) 20 (d) 21
  4. 4.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 4 (b) 3 (c) 10 (d) 11
  5. 5.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 31 (d) 33
  6. 6.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 21 (c) 20 (d) 19
  7. 7.What comes next? 9, 19, 29, 39, 49, ? (a) 59 (b) 58 (c) 69 (d) 60
  8. 8.What comes next? 4, 13, 5, 14, 6, 15, ? (a) 23 (b) 6 (c) 7 (d) 24
  9. 9.What comes next? 6, 11, 7, 12, 8, 13, ? (a) 8 (b) 9 (c) 18 (d) 17
  10. 10.What comes next? 71, 62, 53, 44, 35, ? (a) 17 (b) 26 (c) 25 (d) 27
  11. 11.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 29 (c) 26 (d) 27
  12. 12.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 20 (c) 19 (d) 22
  13. 13.What comes next? 52, 44, 36, 28, 20, ? (a) 12 (b) 13 (c) 4 (d) 11
  14. 14.What comes next? 58, 49, 40, 31, 22, ? (a) 4 (b) 12 (c) 14 (d) 13
  15. 15.What comes next? 20, 21, 23, 26, 30, ? (a) 35 (b) 37 (c) 34 (d) 36
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  18. 18.What comes next? 17, 26, 35, 44, 53, ? (a) 61 (b) 62 (c) 63 (d) 71
  19. 19.What comes next? 6, 12, 7, 13, 8, 14, ? (a) 20 (b) 19 (c) 8 (d) 9
  20. 20.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 18 (b) 24 (c) 17 (d) 20
  21. 21.What comes next? 15, 22, 19, 26, 23, 30, ? (a) 26 (b) 37 (c) 27 (d) 33
  22. 22.What comes next? 48, 41, 34, 27, 20, ? (a) 12 (b) 13 (c) 14 (d) 6
  23. 23.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 38 (c) 37 (d) 35
  24. 24.What comes next? 11, 23, 35, 47, 59, ? (a) 71 (b) 72 (c) 70 (d) 83
  25. 25.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  27. 27.What comes next? 61, 54, 47, 40, 33, ? (a) 26 (b) 27 (c) 25 (d) 19
  28. 28.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 9 (c) 8 (d) 10
  29. 29.What comes next? 43, 35, 27, 19, 11, ? (a) 3 (b) 5 (c) 2 (d) 4
  30. 30.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 18 (c) 20 (d) 19
  31. 31.What comes next? 15, 25, 35, 45, 55, ? (a) 65 (b) 75 (c) 64 (d) 66
  32. 32.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 7 (c) 10 (d) 8
  33. 33.What comes next? 55, 49, 43, 37, 31, ? (a) 26 (b) 19 (c) 25 (d) 24
  34. 34.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 28 (c) 26 (d) 29
  35. 35.What comes next? 6, 12, 18, 24, 30, ? (a) 35 (b) 36 (c) 42 (d) 37
  36. 36.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  37. 37.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 12 (c) 11 (d) 8
  38. 38.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  39. 39.What comes next? 19, 28, 37, 46, 55, ? (a) 73 (b) 65 (c) 64 (d) 63
  40. 40.What comes next? 27, 37, 47, 57, 67, ? (a) 78 (b) 87 (c) 77 (d) 76

Answer key

  1. 243
  2. 33
  3. 20
  4. 4
  5. 31
  6. 20
  7. 59
  8. 7
  9. 9
  10. 26
  11. 27
  12. 20
  13. 12
  14. 13
  15. 35
  16. 32
  17. 64
  18. 62
  19. 9
  20. 18
  21. 27
  22. 13
  23. 36
  24. 71
  25. 192
  26. 81
  27. 26
  28. 9
  29. 3
  30. 19
  31. 65
  32. 8
  33. 25
  34. 27
  35. 36
  36. 160
  37. 12
  38. 162
  39. 64
  40. 77

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