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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 787 · 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? 4, 10, 16, 22, 28, ? (a) 34 (b) 33 (c) 40 (d) 35
  2. 2.What comes next? 30, 37, 44, 51, 58, ? (a) 65 (b) 64 (c) 66 (d) 72
  3. 3.What comes next? 21, 23, 25, 27, 29, ? (a) 32 (b) 31 (c) 33 (d) 30
  4. 4.What comes next? 14, 19, 24, 29, 34, ? (a) 40 (b) 38 (c) 44 (d) 39
  5. 5.What comes next? 9, 16, 15, 22, 21, 28, ? (a) 26 (b) 35 (c) 29 (d) 27
  6. 6.What comes next? 62, 53, 44, 35, 26, ? (a) 16 (b) 8 (c) 18 (d) 17
  7. 7.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 32 (c) 29 (d) 30
  8. 8.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 35 (c) 36 (d) 37
  9. 9.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 21 (c) 23 (d) 24
  10. 10.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 40 (c) 46 (d) 39
  11. 11.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 7 (c) 5 (d) 4
  12. 12.What comes next? 3, 9, 5, 11, 7, 13, ? (a) 17 (b) 19 (c) 9 (d) 8
  13. 13.What comes next? 18, 27, 22, 31, 26, 35, ? (a) 40 (b) 29 (c) 44 (d) 30
  14. 14.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 2 (c) 3 (d) 4
  15. 15.What comes next? 8, 14, 20, 26, 32, ? (a) 44 (b) 39 (c) 37 (d) 38
  16. 16.What comes next? 43, 38, 33, 28, 23, ? (a) 18 (b) 17 (c) 13 (d) 19
  17. 17.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 23 (b) 24 (c) 35 (d) 30
  18. 18.What comes next? 13, 19, 18, 24, 23, 29, ? (a) 28 (b) 35 (c) 27 (d) 30
  19. 19.What comes next? 8, 10, 12, 14, 16, ? (a) 17 (b) 19 (c) 18 (d) 20
  20. 20.What comes next? 26, 37, 48, 59, 70, ? (a) 92 (b) 81 (c) 80 (d) 82
  21. 21.What comes next? 15, 24, 33, 42, 51, ? (a) 59 (b) 60 (c) 61 (d) 69
  22. 22.What comes next? 9, 17, 13, 21, 17, 25, ? (a) 33 (b) 21 (c) 20 (d) 29
  23. 23.What comes next? 53, 46, 39, 32, 25, ? (a) 18 (b) 11 (c) 17 (d) 19
  24. 24.What comes next? 35, 32, 29, 26, 23, ? (a) 17 (b) 19 (c) 20 (d) 21
  25. 25.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 2 (c) 3 (d) 1
  26. 26.What comes next? 33, 30, 27, 24, 21, ? (a) 19 (b) 15 (c) 17 (d) 18
  27. 27.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 34 (c) 33 (d) 32
  28. 28.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 28 (c) 24 (d) 25
  29. 29.What comes next? 14, 23, 20, 29, 26, 35, ? (a) 44 (b) 38 (c) 31 (d) 32
  30. 30.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 6 (c) 4 (d) 7
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  32. 32.What comes next? 17, 19, 22, 26, 31, ? (a) 38 (b) 39 (c) 37 (d) 36
  33. 33.What comes next? 1, 9, 2, 10, 3, 11, ? (a) 3 (b) 19 (c) 4 (d) 18
  34. 34.What comes next? 21, 33, 45, 57, 69, ? (a) 93 (b) 82 (c) 81 (d) 80
  35. 35.What comes next? 16, 24, 21, 29, 26, 34, ? (a) 30 (b) 42 (c) 31 (d) 37
  36. 36.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 6 (c) 4 (d) 5
  37. 37.What comes next? 15, 22, 29, 36, 43, ? (a) 51 (b) 50 (c) 49 (d) 57
  38. 38.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 5 (c) 3 (d) 6
  39. 39.What comes next? 29, 26, 23, 20, 17, ? (a) 13 (b) 15 (c) 11 (d) 14
  40. 40.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81

Answer key

  1. 34
  2. 65
  3. 31
  4. 39
  5. 27
  6. 17
  7. 30
  8. 36
  9. 22
  10. 39
  11. 5
  12. 9
  13. 30
  14. 2
  15. 38
  16. 18
  17. 24
  18. 28
  19. 18
  20. 81
  21. 60
  22. 21
  23. 18
  24. 20
  25. 2
  26. 18
  27. 33
  28. 25
  29. 32
  30. 6
  31. 162
  32. 37
  33. 4
  34. 81
  35. 31
  36. 5
  37. 50
  38. 4
  39. 14
  40. 81

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