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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 380 · 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, 30, 33, 36, 39, ? (a) 43 (b) 42 (c) 45 (d) 41
  2. 2.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  3. 3.What comes next? 3, 10, 5, 12, 7, 14, ? (a) 21 (b) 19 (c) 9 (d) 8
  4. 4.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 40 (c) 41 (d) 42
  5. 5.What comes next? 2, 6, 10, 14, 18, ? (a) 21 (b) 23 (c) 22 (d) 26
  6. 6.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  7. 7.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  8. 8.What comes next? 20, 25, 30, 35, 40, ? (a) 50 (b) 46 (c) 44 (d) 45
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  10. 10.What comes next? 5, 10, 15, 20, 25, ? (a) 31 (b) 30 (c) 35 (d) 29
  11. 11.What comes next? 38, 32, 26, 20, 14, ? (a) 7 (b) 8 (c) 9 (d) 2
  12. 12.What comes next? 14, 18, 23, 29, 36, ? (a) 45 (b) 46 (c) 44 (d) 43
  13. 13.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 4 (c) 5 (d) 3
  14. 14.What comes next? 39, 35, 31, 27, 23, ? (a) 20 (b) 15 (c) 18 (d) 19
  15. 15.What comes next? 7, 10, 13, 16, 19, ? (a) 21 (b) 22 (c) 25 (d) 23
  16. 16.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 47 (c) 48 (d) 45
  17. 17.What comes next? 38, 31, 24, 17, 10, ? (a) 5 (b) 4 (c) 2 (d) 3
  18. 18.What comes next? 30, 34, 38, 42, 46, ? (a) 49 (b) 50 (c) 54 (d) 51
  19. 19.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 26 (b) 21 (c) 28 (d) 22
  20. 20.What comes next? 15, 27, 39, 51, 63, ? (a) 87 (b) 76 (c) 74 (d) 75
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  22. 22.What comes next? 21, 25, 29, 33, 37, ? (a) 45 (b) 42 (c) 41 (d) 40
  23. 23.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 6 (b) 12 (c) 5 (d) 13
  24. 24.What comes next? 11, 13, 16, 20, 25, ? (a) 31 (b) 32 (c) 30 (d) 33
  25. 25.What comes next? 10, 15, 20, 25, 30, ? (a) 36 (b) 35 (c) 34 (d) 40
  26. 26.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 21 (b) 17 (c) 19 (d) 16
  27. 27.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  28. 28.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 32 (c) 34 (d) 33
  29. 29.What comes next? 22, 20, 18, 16, 14, ? (a) 13 (b) 10 (c) 11 (d) 12
  30. 30.What comes next? 5, 11, 17, 23, 29, ? (a) 36 (b) 41 (c) 35 (d) 34
  31. 31.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 15 (c) 14 (d) 12
  32. 32.What comes next? 9, 15, 14, 20, 19, 25, ? (a) 31 (b) 24 (c) 26 (d) 23
  33. 33.What comes next? 39, 33, 27, 21, 15, ? (a) 3 (b) 10 (c) 9 (d) 8
  34. 34.What comes next? 3, 7, 11, 15, 19, ? (a) 22 (b) 27 (c) 24 (d) 23
  35. 35.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 37 (c) 36 (d) 35
  36. 36.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 26 (c) 25 (d) 24
  37. 37.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 15 (c) 13 (d) 14
  38. 38.What comes next? 47, 40, 33, 26, 19, ? (a) 11 (b) 13 (c) 5 (d) 12
  39. 39.What comes next? 15, 17, 19, 21, 23, ? (a) 24 (b) 27 (c) 26 (d) 25
  40. 40.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 24 (c) 23 (d) 25

Answer key

  1. 42
  2. 192
  3. 9
  4. 41
  5. 22
  6. 27
  7. 128
  8. 45
  9. 32
  10. 30
  11. 8
  12. 44
  13. 4
  14. 19
  15. 22
  16. 46
  17. 3
  18. 50
  19. 22
  20. 75
  21. 81
  22. 41
  23. 6
  24. 31
  25. 35
  26. 17
  27. 243
  28. 32
  29. 12
  30. 35
  31. 14
  32. 24
  33. 9
  34. 23
  35. 35
  36. 25
  37. 13
  38. 12
  39. 25
  40. 23

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