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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 706 · 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? 10, 14, 19, 25, 32, ? (a) 40 (b) 41 (c) 42 (d) 39
  2. 2.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 27 (b) 30 (c) 28 (d) 34
  3. 3.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 23 (b) 18 (c) 19 (d) 21
  4. 4.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 22 (c) 24 (d) 23
  5. 5.What comes next? 23, 34, 45, 56, 67, ? (a) 77 (b) 79 (c) 89 (d) 78
  6. 6.What comes next? 26, 30, 34, 38, 42, ? (a) 47 (b) 50 (c) 46 (d) 45
  7. 7.What comes next? 9, 18, 27, 36, 45, ? (a) 55 (b) 53 (c) 54 (d) 63
  8. 8.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 32 (d) 30
  9. 9.What comes next? 26, 37, 48, 59, 70, ? (a) 81 (b) 82 (c) 80 (d) 92
  10. 10.What comes next? 28, 26, 24, 22, 20, ? (a) 18 (b) 19 (c) 16 (d) 17
  11. 11.What comes next? 17, 28, 39, 50, 61, ? (a) 71 (b) 83 (c) 73 (d) 72
  12. 12.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 29 (c) 30 (d) 28
  13. 13.What comes next? 14, 17, 20, 23, 26, ? (a) 30 (b) 29 (c) 28 (d) 32
  14. 14.What comes next? 23, 20, 17, 14, 11, ? (a) 9 (b) 8 (c) 5 (d) 7
  15. 15.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 3 (c) 4 (d) 6
  16. 16.What comes next? 20, 26, 24, 30, 28, 34, ? (a) 40 (b) 32 (c) 31 (d) 36
  17. 17.What comes next? 2, 11, 4, 13, 6, 15, ? (a) 7 (b) 24 (c) 22 (d) 8
  18. 18.What comes next? 25, 37, 49, 61, 73, ? (a) 97 (b) 86 (c) 84 (d) 85
  19. 19.What comes next? 17, 21, 26, 32, 39, ? (a) 47 (b) 46 (c) 48 (d) 49
  20. 20.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 27 (c) 26 (d) 29
  21. 21.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 46 (c) 44 (d) 47
  22. 22.What comes next? 31, 27, 23, 19, 15, ? (a) 11 (b) 7 (c) 12 (d) 10
  23. 23.What comes next? 10, 21, 32, 43, 54, ? (a) 76 (b) 64 (c) 65 (d) 66
  24. 24.What comes next? 8, 10, 13, 17, 22, ? (a) 28 (b) 29 (c) 30 (d) 27
  25. 25.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 32 (c) 31 (d) 30
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  27. 27.What comes next? 53, 44, 35, 26, 17, ? (a) 7 (b) 10 (c) 8 (d) 9
  28. 28.What comes next? 11, 18, 17, 24, 23, 30, ? (a) 37 (b) 29 (c) 31 (d) 28
  29. 29.What comes next? 66, 58, 50, 42, 34, ? (a) 27 (b) 25 (c) 18 (d) 26
  30. 30.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 5 (c) 4 (d) 6
  31. 31.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 17 (d) 16
  32. 32.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 32 (c) 31 (d) 34
  33. 33.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 32 (c) 28 (d) 27
  34. 34.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 34 (c) 37 (d) 36
  35. 35.What comes next? 12, 14, 17, 21, 26, ? (a) 33 (b) 34 (c) 32 (d) 31
  36. 36.What comes next? 9, 21, 33, 45, 57, ? (a) 69 (b) 81 (c) 70 (d) 68
  37. 37.What comes next? 8, 12, 10, 14, 12, 16, ? (a) 13 (b) 14 (c) 20 (d) 18
  38. 38.What comes next? 17, 23, 22, 28, 27, 33, ? (a) 34 (b) 39 (c) 31 (d) 32
  39. 39.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 29 (b) 25 (c) 20 (d) 21
  40. 40.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64

Answer key

  1. 40
  2. 28
  3. 19
  4. 23
  5. 78
  6. 46
  7. 54
  8. 31
  9. 81
  10. 18
  11. 72
  12. 28
  13. 29
  14. 8
  15. 4
  16. 32
  17. 8
  18. 85
  19. 47
  20. 27
  21. 45
  22. 11
  23. 65
  24. 28
  25. 30
  26. 81
  27. 8
  28. 29
  29. 26
  30. 5
  31. 17
  32. 32
  33. 27
  34. 35
  35. 32
  36. 69
  37. 14
  38. 32
  39. 21
  40. 64

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