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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 35 · 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? 27, 38, 49, 60, 71, ? (a) 93 (b) 82 (c) 81 (d) 83
  2. 2.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 16 (b) 21 (c) 17 (d) 22
  3. 3.What comes next? 44, 36, 28, 20, 12, ? (a) 5 (b) 4 (c) 6 (d) 3
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  5. 5.What comes next? 29, 33, 37, 41, 45, ? (a) 48 (b) 49 (c) 53 (d) 50
  6. 6.What comes next? 21, 25, 29, 33, 37, ? (a) 42 (b) 40 (c) 45 (d) 41
  7. 7.What comes next? 45, 39, 33, 27, 21, ? (a) 14 (b) 16 (c) 15 (d) 9
  8. 8.What comes next? 4, 11, 7, 14, 10, 17, ? (a) 13 (b) 12 (c) 24 (d) 21
  9. 9.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 9 (c) 6 (d) 7
  10. 10.What comes next? 11, 16, 15, 20, 19, 24, ? (a) 22 (b) 29 (c) 25 (d) 23
  11. 11.What comes next? 6, 18, 30, 42, 54, ? (a) 65 (b) 66 (c) 67 (d) 78
  12. 12.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 15 (c) 16 (d) 18
  13. 13.What comes next? 34, 30, 26, 22, 18, ? (a) 15 (b) 10 (c) 13 (d) 14
  14. 14.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 29 (c) 28 (d) 27
  15. 15.What comes next? 3, 11, 19, 27, 35, ? (a) 44 (b) 43 (c) 42 (d) 51
  16. 16.What comes next? 14, 19, 18, 23, 22, 27, ? (a) 32 (b) 25 (c) 28 (d) 26
  17. 17.What comes next? 32, 26, 20, 14, 8, ? (a) 1 (b) 4 (c) 2 (d) 3
  18. 18.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 29 (c) 31 (d) 30
  19. 19.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  20. 20.What comes next? 11, 22, 33, 44, 55, ? (a) 65 (b) 67 (c) 77 (d) 66
  21. 21.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 13 (c) 14 (d) 16
  22. 22.What comes next? 3, 7, 11, 15, 19, ? (a) 24 (b) 22 (c) 27 (d) 23
  23. 23.What comes next? 6, 11, 8, 13, 10, 15, ? (a) 18 (b) 11 (c) 12 (d) 20
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  25. 25.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 20 (b) 25 (c) 22 (d) 19
  26. 26.What comes next? 7, 12, 8, 13, 9, 14, ? (a) 10 (b) 19 (c) 9 (d) 18
  27. 27.What comes next? 29, 32, 35, 38, 41, ? (a) 45 (b) 43 (c) 47 (d) 44
  28. 28.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 9 (c) 7 (d) 8
  29. 29.What comes next? 36, 32, 28, 24, 20, ? (a) 15 (b) 12 (c) 16 (d) 17
  30. 30.What comes next? 42, 39, 36, 33, 30, ? (a) 26 (b) 24 (c) 27 (d) 28
  31. 31.What comes next? 2, 6, 10, 14, 18, ? (a) 21 (b) 26 (c) 22 (d) 23
  32. 32.What comes next? 75, 66, 57, 48, 39, ? (a) 30 (b) 21 (c) 31 (d) 29
  33. 33.What comes next? 20, 27, 21, 28, 22, 29, ? (a) 35 (b) 22 (c) 36 (d) 23
  34. 34.What comes next? 15, 19, 16, 20, 17, 21, ? (a) 17 (b) 18 (c) 25 (d) 24
  35. 35.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  36. 36.What comes next? 26, 35, 44, 53, 62, ? (a) 72 (b) 80 (c) 70 (d) 71
  37. 37.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 19 (c) 17 (d) 20
  38. 38.What comes next? 7, 10, 13, 16, 19, ? (a) 22 (b) 21 (c) 23 (d) 25
  39. 39.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 3 (c) 6 (d) 4
  40. 40.What comes next? 10, 12, 14, 16, 18, ? (a) 19 (b) 21 (c) 20 (d) 22

Answer key

  1. 82
  2. 17
  3. 4
  4. 128
  5. 49
  6. 41
  7. 15
  8. 13
  9. 7
  10. 23
  11. 66
  12. 16
  13. 14
  14. 28
  15. 43
  16. 26
  17. 2
  18. 29
  19. 192
  20. 66
  21. 14
  22. 23
  23. 12
  24. 162
  25. 20
  26. 10
  27. 44
  28. 8
  29. 16
  30. 27
  31. 22
  32. 30
  33. 23
  34. 18
  35. 243
  36. 71
  37. 18
  38. 22
  39. 4
  40. 20

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