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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 885 · 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? 18, 21, 25, 30, 36, ? (a) 45 (b) 42 (c) 44 (d) 43
  2. 2.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 26 (b) 20 (c) 19 (d) 27
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  4. 4.What comes next? 5, 14, 23, 32, 41, ? (a) 59 (b) 50 (c) 51 (d) 49
  5. 5.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 34 (c) 33 (d) 32
  6. 6.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 21 (b) 19 (c) 18 (d) 25
  7. 7.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 32 (c) 31 (d) 30
  8. 8.What comes next? 47, 39, 31, 23, 15, ? (a) 6 (b) 9 (c) 8 (d) 7
  9. 9.What comes next? 44, 40, 36, 32, 28, ? (a) 23 (b) 20 (c) 24 (d) 25
  10. 10.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 1 (c) 4 (d) 5
  11. 11.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 50 (c) 48 (d) 51
  12. 12.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 38 (c) 40 (d) 39
  13. 13.What comes next? 4, 9, 7, 12, 10, 15, ? (a) 12 (b) 17 (c) 13 (d) 20
  14. 14.What comes next? 7, 11, 15, 19, 23, ? (a) 31 (b) 27 (c) 26 (d) 28
  15. 15.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 25 (b) 18 (c) 22 (d) 17
  16. 16.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  17. 17.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 32 (c) 34 (d) 33
  18. 18.What comes next? 6, 8, 10, 12, 14, ? (a) 15 (b) 17 (c) 16 (d) 18
  19. 19.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 8 (c) 9 (d) 6
  20. 20.What comes next? 2, 7, 5, 10, 8, 13, ? (a) 15 (b) 18 (c) 10 (d) 11
  21. 21.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 20 (b) 24 (c) 22 (d) 19
  22. 22.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 9 (b) 16 (c) 8 (d) 15
  23. 23.What comes next? 59, 50, 41, 32, 23, ? (a) 14 (b) 5 (c) 13 (d) 15
  24. 24.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 15 (b) 12 (c) 13 (d) 18
  25. 25.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 42 (c) 44 (d) 43
  26. 26.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 35 (c) 37 (d) 38
  27. 27.What comes next? 7, 10, 14, 19, 25, ? (a) 34 (b) 31 (c) 33 (d) 32
  28. 28.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 128 (d) 129
  29. 29.What comes next? 43, 36, 29, 22, 15, ? (a) 9 (b) 1 (c) 7 (d) 8
  30. 30.What comes next? 13, 21, 15, 23, 17, 25, ? (a) 18 (b) 31 (c) 19 (d) 33
  31. 31.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  32. 32.What comes next? 39, 33, 27, 21, 15, ? (a) 8 (b) 10 (c) 9 (d) 3
  33. 33.What comes next? 8, 15, 9, 16, 10, 17, ? (a) 23 (b) 10 (c) 24 (d) 11
  34. 34.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 24 (c) 22 (d) 23
  35. 35.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  36. 36.What comes next? 10, 12, 14, 16, 18, ? (a) 21 (b) 20 (c) 22 (d) 19
  37. 37.What comes next? 43, 40, 37, 34, 31, ? (a) 25 (b) 27 (c) 29 (d) 28
  38. 38.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 25 (c) 24 (d) 26
  39. 39.What comes next? 9, 21, 33, 45, 57, ? (a) 81 (b) 69 (c) 70 (d) 68
  40. 40.What comes next? 9, 12, 15, 18, 21, ? (a) 25 (b) 23 (c) 27 (d) 24

Answer key

  1. 43
  2. 20
  3. 162
  4. 50
  5. 33
  6. 19
  7. 30
  8. 7
  9. 24
  10. 5
  11. 49
  12. 38
  13. 13
  14. 27
  15. 18
  16. 81
  17. 33
  18. 16
  19. 7
  20. 11
  21. 20
  22. 9
  23. 14
  24. 13
  25. 42
  26. 36
  27. 32
  28. 128
  29. 8
  30. 19
  31. 243
  32. 9
  33. 11
  34. 23
  35. 32
  36. 20
  37. 28
  38. 25
  39. 69
  40. 24

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