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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 861 · 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? 5, 13, 6, 14, 7, 15, ? (a) 23 (b) 8 (c) 7 (d) 22
  2. 2.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 25 (b) 16 (c) 29 (d) 17
  3. 3.What comes next? 29, 36, 43, 50, 57, ? (a) 65 (b) 63 (c) 71 (d) 64
  4. 4.What comes next? 6, 13, 12, 19, 18, 25, ? (a) 26 (b) 32 (c) 23 (d) 24
  5. 5.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 32 (c) 33 (d) 35
  6. 6.What comes next? 15, 20, 25, 30, 35, ? (a) 40 (b) 41 (c) 39 (d) 45
  7. 7.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 21 (c) 20 (d) 19
  8. 8.What comes next? 20, 26, 23, 29, 26, 32, ? (a) 35 (b) 29 (c) 28 (d) 38
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  10. 10.What comes next? 12, 14, 17, 21, 26, ? (a) 34 (b) 33 (c) 32 (d) 31
  11. 11.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 41 (d) 38
  12. 12.What comes next? 11, 19, 17, 25, 23, 31, ? (a) 33 (b) 28 (c) 29 (d) 39
  13. 13.What comes next? 10, 13, 16, 19, 22, ? (a) 25 (b) 24 (c) 26 (d) 28
  14. 14.What comes next? 18, 24, 30, 36, 42, ? (a) 47 (b) 49 (c) 48 (d) 54
  15. 15.What comes next? 3, 7, 11, 15, 19, ? (a) 24 (b) 22 (c) 23 (d) 27
  16. 16.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 22 (c) 23 (d) 19
  17. 17.What comes next? 13, 18, 23, 28, 33, ? (a) 43 (b) 37 (c) 39 (d) 38
  18. 18.What comes next? 17, 21, 26, 32, 39, ? (a) 46 (b) 48 (c) 49 (d) 47
  19. 19.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 13 (b) 7 (c) 8 (d) 12
  20. 20.What comes next? 26, 34, 42, 50, 58, ? (a) 74 (b) 67 (c) 66 (d) 65
  21. 21.What comes next? 26, 30, 34, 38, 42, ? (a) 45 (b) 46 (c) 50 (d) 47
  22. 22.What comes next? 13, 11, 9, 7, 5, ? (a) 1 (b) 3 (c) 2 (d) 4
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  24. 24.What comes next? 30, 33, 36, 39, 42, ? (a) 46 (b) 44 (c) 48 (d) 45
  25. 25.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 4 (c) 7 (d) 5
  26. 26.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 23 (c) 25 (d) 26
  27. 27.What comes next? 30, 37, 44, 51, 58, ? (a) 64 (b) 66 (c) 65 (d) 72
  28. 28.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 21 (c) 23 (d) 24
  29. 29.What comes next? 9, 12, 15, 18, 21, ? (a) 25 (b) 24 (c) 27 (d) 23
  30. 30.What comes next? 18, 23, 19, 24, 20, 25, ? (a) 29 (b) 20 (c) 21 (d) 30
  31. 31.What comes next? 18, 20, 22, 24, 26, ? (a) 30 (b) 29 (c) 28 (d) 27
  32. 32.What comes next? 34, 30, 26, 22, 18, ? (a) 14 (b) 15 (c) 10 (d) 13
  33. 33.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 21 (b) 23 (c) 20 (d) 26
  34. 34.What comes next? 27, 35, 43, 51, 59, ? (a) 66 (b) 75 (c) 67 (d) 68
  35. 35.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 50 (c) 48 (d) 49
  36. 36.What comes next? 22, 19, 16, 13, 10, ? (a) 7 (b) 8 (c) 4 (d) 6
  37. 37.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 4 (c) 7 (d) 5
  38. 38.What comes next? 13, 15, 18, 22, 27, ? (a) 34 (b) 33 (c) 35 (d) 32
  39. 39.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 30 (c) 27 (d) 28
  40. 40.What comes next? 10, 18, 16, 24, 22, 30, ? (a) 28 (b) 27 (c) 32 (d) 38

Answer key

  1. 8
  2. 17
  3. 64
  4. 24
  5. 33
  6. 40
  7. 20
  8. 29
  9. 32
  10. 32
  11. 39
  12. 29
  13. 25
  14. 48
  15. 23
  16. 22
  17. 38
  18. 47
  19. 8
  20. 66
  21. 46
  22. 3
  23. 81
  24. 45
  25. 5
  26. 24
  27. 65
  28. 22
  29. 24
  30. 21
  31. 28
  32. 14
  33. 21
  34. 67
  35. 49
  36. 7
  37. 5
  38. 33
  39. 28
  40. 28

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