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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 871 · 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? 8, 12, 17, 23, 30, ? (a) 40 (b) 38 (c) 39 (d) 37
  2. 2.What comes next? 15, 25, 35, 45, 55, ? (a) 66 (b) 64 (c) 75 (d) 65
  3. 3.What comes next? 28, 25, 22, 19, 16, ? (a) 10 (b) 12 (c) 14 (d) 13
  4. 4.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 21 (b) 15 (c) 22 (d) 14
  5. 5.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 27 (c) 28 (d) 26
  6. 6.What comes next? 15, 22, 18, 25, 21, 28, ? (a) 35 (b) 24 (c) 32 (d) 23
  7. 7.What comes next? 71, 62, 53, 44, 35, ? (a) 25 (b) 26 (c) 27 (d) 17
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  9. 9.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 5 (b) 10 (c) 9 (d) 4
  10. 10.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 7 (c) 6 (d) 1
  11. 11.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  12. 12.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 20 (b) 22 (c) 19 (d) 25
  13. 13.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 4 (c) 3 (d) 2
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 144 (d) 192
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  16. 16.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 36 (c) 38 (d) 39
  17. 17.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  18. 18.What comes next? 23, 31, 39, 47, 55, ? (a) 62 (b) 71 (c) 63 (d) 64
  19. 19.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 34 (d) 31
  20. 20.What comes next? 6, 9, 12, 15, 18, ? (a) 20 (b) 21 (c) 22 (d) 24
  21. 21.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  22. 22.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 18 (c) 20 (d) 19
  23. 23.What comes next? 56, 49, 42, 35, 28, ? (a) 14 (b) 22 (c) 20 (d) 21
  24. 24.What comes next? 10, 13, 16, 19, 22, ? (a) 25 (b) 24 (c) 26 (d) 28
  25. 25.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 27 (c) 30 (d) 28
  26. 26.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 6 (c) 4 (d) 5
  27. 27.What comes next? 5, 16, 27, 38, 49, ? (a) 71 (b) 61 (c) 60 (d) 59
  28. 28.What comes next? 20, 30, 40, 50, 60, ? (a) 71 (b) 70 (c) 80 (d) 69
  29. 29.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 21 (c) 24 (d) 22
  30. 30.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 29 (c) 28 (d) 27
  31. 31.What comes next? 12, 19, 13, 20, 14, 21, ? (a) 28 (b) 14 (c) 27 (d) 15
  32. 32.What comes next? 55, 49, 43, 37, 31, ? (a) 24 (b) 26 (c) 25 (d) 19
  33. 33.What comes next? 17, 22, 27, 32, 37, ? (a) 47 (b) 42 (c) 41 (d) 43
  34. 34.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 40 (c) 42 (d) 41
  35. 35.What comes next? 21, 25, 29, 33, 37, ? (a) 40 (b) 42 (c) 41 (d) 45
  36. 36.What comes next? 27, 39, 51, 63, 75, ? (a) 88 (b) 99 (c) 86 (d) 87
  37. 37.What comes next? 19, 26, 25, 32, 31, 38, ? (a) 45 (b) 37 (c) 36 (d) 39
  38. 38.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 129 (d) 96
  39. 39.What comes next? 61, 54, 47, 40, 33, ? (a) 27 (b) 25 (c) 26 (d) 19
  40. 40.What comes next? 6, 11, 8, 13, 10, 15, ? (a) 20 (b) 18 (c) 11 (d) 12

Answer key

  1. 38
  2. 65
  3. 13
  4. 15
  5. 27
  6. 24
  7. 26
  8. 96
  9. 5
  10. 7
  11. 64
  12. 20
  13. 2
  14. 192
  15. 243
  16. 37
  17. 160
  18. 63
  19. 32
  20. 21
  21. 162
  22. 19
  23. 21
  24. 25
  25. 28
  26. 5
  27. 60
  28. 70
  29. 22
  30. 27
  31. 15
  32. 25
  33. 42
  34. 41
  35. 41
  36. 87
  37. 37
  38. 128
  39. 26
  40. 12

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