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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 748 · 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? 62, 53, 44, 35, 26, ? (a) 18 (b) 16 (c) 17 (d) 8
  2. 2.What comes next? 13, 17, 21, 25, 29, ? (a) 34 (b) 33 (c) 37 (d) 32
  3. 3.What comes next? 70, 62, 54, 46, 38, ? (a) 22 (b) 30 (c) 31 (d) 29
  4. 4.What comes next? 14, 20, 16, 22, 18, 24, ? (a) 20 (b) 19 (c) 28 (d) 30
  5. 5.What comes next? 30, 36, 42, 48, 54, ? (a) 61 (b) 66 (c) 59 (d) 60
  6. 6.What comes next? 16, 28, 40, 52, 64, ? (a) 76 (b) 88 (c) 77 (d) 75
  7. 7.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 33 (d) 24
  8. 8.What comes next? 13, 24, 35, 46, 57, ? (a) 69 (b) 67 (c) 79 (d) 68
  9. 9.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 19 (c) 22 (d) 20
  10. 10.What comes next? 7, 11, 15, 19, 23, ? (a) 26 (b) 28 (c) 31 (d) 27
  11. 11.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 8 (c) 9 (d) 7
  12. 12.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 35 (c) 33 (d) 32
  13. 13.What comes next? 20, 23, 26, 29, 32, ? (a) 35 (b) 38 (c) 34 (d) 36
  14. 14.What comes next? 20, 21, 23, 26, 30, ? (a) 35 (b) 34 (c) 37 (d) 36
  15. 15.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 28 (c) 27 (d) 29
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  17. 17.What comes next? 8, 14, 10, 16, 12, 18, ? (a) 13 (b) 22 (c) 14 (d) 24
  18. 18.What comes next? 19, 16, 13, 10, 7, ? (a) 5 (b) 1 (c) 3 (d) 4
  19. 19.What comes next? 6, 11, 8, 13, 10, 15, ? (a) 20 (b) 11 (c) 12 (d) 18
  20. 20.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 27 (c) 30 (d) 28
  21. 21.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 26 (c) 27 (d) 25
  22. 22.What comes next? 4, 11, 6, 13, 8, 15, ? (a) 9 (b) 22 (c) 20 (d) 10
  23. 23.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 10 (c) 11 (d) 8
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  25. 25.What comes next? 9, 21, 33, 45, 57, ? (a) 70 (b) 81 (c) 69 (d) 68
  26. 26.What comes next? 9, 13, 17, 21, 25, ? (a) 33 (b) 30 (c) 28 (d) 29
  27. 27.What comes next? 69, 60, 51, 42, 33, ? (a) 25 (b) 23 (c) 24 (d) 15
  28. 28.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160
  29. 29.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 36 (c) 37 (d) 38
  30. 30.What comes next? 11, 17, 16, 22, 21, 27, ? (a) 33 (b) 28 (c) 26 (d) 25
  31. 31.What comes next? 6, 16, 26, 36, 46, ? (a) 56 (b) 66 (c) 55 (d) 57
  32. 32.What comes next? 11, 16, 12, 17, 13, 18, ? (a) 23 (b) 22 (c) 13 (d) 14
  33. 33.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  34. 34.What comes next? 20, 27, 21, 28, 22, 29, ? (a) 22 (b) 35 (c) 36 (d) 23
  35. 35.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 15 (b) 13 (c) 17 (d) 12
  36. 36.What comes next? 18, 29, 40, 51, 62, ? (a) 73 (b) 84 (c) 72 (d) 74
  37. 37.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 33 (c) 34 (d) 35
  38. 38.What comes next? 20, 29, 38, 47, 56, ? (a) 64 (b) 65 (c) 74 (d) 66
  39. 39.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 11 (c) 10 (d) 8
  40. 40.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 33 (c) 35 (d) 34

Answer key

  1. 17
  2. 33
  3. 30
  4. 20
  5. 60
  6. 76
  7. 32
  8. 68
  9. 20
  10. 27
  11. 8
  12. 33
  13. 35
  14. 35
  15. 28
  16. 64
  17. 14
  18. 4
  19. 12
  20. 28
  21. 26
  22. 10
  23. 11
  24. 81
  25. 69
  26. 29
  27. 24
  28. 128
  29. 37
  30. 26
  31. 56
  32. 14
  33. 243
  34. 23
  35. 13
  36. 73
  37. 33
  38. 65
  39. 10
  40. 34

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