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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 104 · 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? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  2. 2.What comes next? 19, 27, 25, 33, 31, 39, ? (a) 47 (b) 36 (c) 41 (d) 37
  3. 3.What comes next? 1, 10, 8, 17, 15, 24, ? (a) 33 (b) 21 (c) 26 (d) 22
  4. 4.What comes next? 9, 19, 29, 39, 49, ? (a) 69 (b) 58 (c) 60 (d) 59
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  6. 6.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 25 (b) 20 (c) 22 (d) 19
  7. 7.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 11 (b) 13 (c) 10 (d) 16
  8. 8.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 6 (c) 5 (d) 4
  9. 9.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 8 (c) 9 (d) 10
  10. 10.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 42 (c) 44 (d) 43
  11. 11.What comes next? 24, 29, 34, 39, 44, ? (a) 54 (b) 49 (c) 50 (d) 48
  12. 12.What comes next? 66, 58, 50, 42, 34, ? (a) 27 (b) 26 (c) 25 (d) 18
  13. 13.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 20 (c) 23 (d) 21
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  15. 15.What comes next? 13, 17, 21, 25, 29, ? (a) 32 (b) 34 (c) 37 (d) 33
  16. 16.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 24 (b) 26 (c) 23 (d) 29
  17. 17.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 19 (c) 18 (d) 16
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  19. 19.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 49 (d) 50
  20. 20.What comes next? 40, 34, 28, 22, 16, ? (a) 10 (b) 11 (c) 4 (d) 9
  21. 21.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 38 (b) 30 (c) 33 (d) 31
  22. 22.What comes next? 6, 13, 9, 16, 12, 19, ? (a) 26 (b) 15 (c) 23 (d) 14
  23. 23.What comes next? 13, 25, 37, 49, 61, ? (a) 85 (b) 74 (c) 72 (d) 73
  24. 24.What comes next? 26, 35, 44, 53, 62, ? (a) 72 (b) 71 (c) 80 (d) 70
  25. 25.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 14 (c) 10 (d) 12
  26. 26.What comes next? 11, 17, 14, 20, 17, 23, ? (a) 26 (b) 19 (c) 29 (d) 20
  27. 27.What comes next? 60, 54, 48, 42, 36, ? (a) 31 (b) 30 (c) 29 (d) 24
  28. 28.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 22 (b) 25 (c) 27 (d) 23
  29. 29.What comes next? 72, 63, 54, 45, 36, ? (a) 26 (b) 28 (c) 18 (d) 27
  30. 30.What comes next? 19, 22, 25, 28, 31, ? (a) 37 (b) 35 (c) 33 (d) 34
  31. 31.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 36 (c) 34 (d) 35
  32. 32.What comes next? 11, 13, 15, 17, 19, ? (a) 20 (b) 23 (c) 21 (d) 22
  33. 33.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 20 (b) 19 (c) 22 (d) 24
  34. 34.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 10 (b) 18 (c) 11 (d) 17
  35. 35.What comes next? 70, 62, 54, 46, 38, ? (a) 30 (b) 31 (c) 29 (d) 22
  36. 36.What comes next? 15, 17, 20, 24, 29, ? (a) 35 (b) 37 (c) 34 (d) 36
  37. 37.What comes next? 10, 18, 26, 34, 42, ? (a) 58 (b) 50 (c) 49 (d) 51
  38. 38.What comes next? 8, 9, 11, 14, 18, ? (a) 22 (b) 24 (c) 25 (d) 23
  39. 39.What comes next? 17, 22, 27, 32, 37, ? (a) 41 (b) 47 (c) 42 (d) 43
  40. 40.What comes next? 12, 17, 22, 27, 32, ? (a) 38 (b) 37 (c) 42 (d) 36

Answer key

  1. 162
  2. 37
  3. 22
  4. 59
  5. 243
  6. 20
  7. 11
  8. 5
  9. 8
  10. 42
  11. 49
  12. 26
  13. 21
  14. 32
  15. 33
  16. 24
  17. 19
  18. 96
  19. 49
  20. 10
  21. 31
  22. 15
  23. 73
  24. 71
  25. 10
  26. 20
  27. 30
  28. 23
  29. 27
  30. 34
  31. 34
  32. 21
  33. 20
  34. 11
  35. 30
  36. 35
  37. 50
  38. 23
  39. 42
  40. 37

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