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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 682 · 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, 8, 7, 11, 10, 14, ? (a) 18 (b) 15 (c) 13 (d) 12
  2. 2.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 11 (b) 12 (c) 16 (d) 14
  3. 3.What comes next? 3, 12, 21, 30, 39, ? (a) 49 (b) 47 (c) 57 (d) 48
  4. 4.What comes next? 15, 18, 21, 24, 27, ? (a) 33 (b) 31 (c) 30 (d) 29
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  6. 6.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 45 (c) 44 (d) 46
  7. 7.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 34 (c) 31 (d) 32
  8. 8.What comes next? 17, 24, 23, 30, 29, 36, ? (a) 43 (b) 35 (c) 37 (d) 34
  9. 9.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 5 (c) 4 (d) 7
  10. 10.What comes next? 49, 42, 35, 28, 21, ? (a) 7 (b) 14 (c) 15 (d) 13
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  12. 12.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  14. 14.What comes next? 9, 17, 10, 18, 11, 19, ? (a) 12 (b) 27 (c) 26 (d) 11
  15. 15.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 10 (c) 8 (d) 11
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  17. 17.What comes next? 30, 26, 22, 18, 14, ? (a) 6 (b) 9 (c) 10 (d) 11
  18. 18.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 17 (b) 15 (c) 10 (d) 11
  19. 19.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 1 (c) 4 (d) 2
  20. 20.What comes next? 15, 21, 27, 33, 39, ? (a) 44 (b) 45 (c) 46 (d) 51
  21. 21.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 7 (c) 1 (d) 6
  22. 22.What comes next? 28, 37, 46, 55, 64, ? (a) 73 (b) 82 (c) 72 (d) 74
  23. 23.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 23 (b) 22 (c) 17 (d) 18
  24. 24.What comes next? 16, 25, 34, 43, 52, ? (a) 62 (b) 60 (c) 61 (d) 70
  25. 25.What comes next? 14, 22, 30, 38, 46, ? (a) 62 (b) 53 (c) 55 (d) 54
  26. 26.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 72 (d) 120
  27. 27.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  28. 28.What comes next? 4, 10, 7, 13, 10, 16, ? (a) 19 (b) 13 (c) 22 (d) 12
  29. 29.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 39 (c) 38 (d) 37
  30. 30.What comes next? 40, 37, 34, 31, 28, ? (a) 24 (b) 25 (c) 22 (d) 26
  31. 31.What comes next? 12, 23, 34, 45, 56, ? (a) 68 (b) 66 (c) 78 (d) 67
  32. 32.What comes next? 45, 38, 31, 24, 17, ? (a) 9 (b) 3 (c) 10 (d) 11
  33. 33.What comes next? 8, 17, 14, 23, 20, 29, ? (a) 26 (b) 38 (c) 32 (d) 25
  34. 34.What comes next? 64, 57, 50, 43, 36, ? (a) 29 (b) 30 (c) 28 (d) 22
  35. 35.What comes next? 5, 12, 19, 26, 33, ? (a) 41 (b) 47 (c) 40 (d) 39
  36. 36.What comes next? 62, 54, 46, 38, 30, ? (a) 23 (b) 22 (c) 21 (d) 14
  37. 37.What comes next? 43, 37, 31, 25, 19, ? (a) 14 (b) 7 (c) 13 (d) 12
  38. 38.What comes next? 42, 39, 36, 33, 30, ? (a) 24 (b) 27 (c) 28 (d) 26
  39. 39.What comes next? 24, 26, 28, 30, 32, ? (a) 33 (b) 34 (c) 36 (d) 35
  40. 40.What comes next? 8, 17, 11, 20, 14, 23, ? (a) 32 (b) 16 (c) 29 (d) 17

Answer key

  1. 13
  2. 12
  3. 48
  4. 30
  5. 243
  6. 45
  7. 32
  8. 35
  9. 5
  10. 14
  11. 162
  12. 128
  13. 81
  14. 12
  15. 10
  16. 64
  17. 10
  18. 11
  19. 1
  20. 45
  21. 7
  22. 73
  23. 18
  24. 61
  25. 54
  26. 96
  27. 32
  28. 13
  29. 37
  30. 25
  31. 67
  32. 10
  33. 26
  34. 29
  35. 40
  36. 22
  37. 13
  38. 27
  39. 34
  40. 17

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