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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 875 · 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? 27, 34, 41, 48, 55, ? (a) 61 (b) 63 (c) 62 (d) 69
  2. 2.What comes next? 8, 13, 11, 16, 14, 19, ? (a) 17 (b) 24 (c) 16 (d) 21
  3. 3.What comes next? 18, 23, 28, 33, 38, ? (a) 42 (b) 48 (c) 43 (d) 44
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  5. 5.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 17 (c) 15 (d) 16
  6. 6.What comes next? 41, 34, 27, 20, 13, ? (a) 6 (b) 8 (c) 5 (d) 7
  7. 7.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 34 (c) 35 (d) 32
  8. 8.What comes next? 31, 25, 19, 13, 7, ? (a) 2 (b) 1 (c) 4 (d) 3
  9. 9.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 25 (c) 23 (d) 22
  10. 10.What comes next? 5, 12, 19, 26, 33, ? (a) 39 (b) 47 (c) 41 (d) 40
  11. 11.What comes next? 29, 38, 47, 56, 65, ? (a) 75 (b) 73 (c) 74 (d) 83
  12. 12.What comes next? 27, 38, 49, 60, 71, ? (a) 93 (b) 83 (c) 81 (d) 82
  13. 13.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 29 (b) 17 (c) 30 (d) 16
  14. 14.What comes next? 51, 43, 35, 27, 19, ? (a) 3 (b) 12 (c) 10 (d) 11
  15. 15.What comes next? 16, 19, 23, 28, 34, ? (a) 40 (b) 41 (c) 42 (d) 43
  16. 16.What comes next? 26, 34, 42, 50, 58, ? (a) 65 (b) 74 (c) 67 (d) 66
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  19. 19.What comes next? 2, 4, 6, 8, 10, ? (a) 14 (b) 12 (c) 13 (d) 11
  20. 20.What comes next? 13, 23, 33, 43, 53, ? (a) 64 (b) 62 (c) 63 (d) 73
  21. 21.What comes next? 47, 43, 39, 35, 31, ? (a) 28 (b) 23 (c) 27 (d) 26
  22. 22.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 24 (c) 26 (d) 25
  23. 23.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 25 (b) 26 (c) 28 (d) 31
  24. 24.What comes next? 74, 65, 56, 47, 38, ? (a) 29 (b) 30 (c) 20 (d) 28
  25. 25.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 6 (c) 4 (d) 5
  26. 26.What comes next? 6, 14, 7, 15, 8, 16, ? (a) 24 (b) 9 (c) 23 (d) 8
  27. 27.What comes next? 30, 42, 54, 66, 78, ? (a) 102 (b) 91 (c) 89 (d) 90
  28. 28.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 37 (b) 33 (c) 31 (d) 30
  29. 29.What comes next? 26, 24, 22, 20, 18, ? (a) 14 (b) 16 (c) 17 (d) 15
  30. 30.What comes next? 61, 53, 45, 37, 29, ? (a) 22 (b) 13 (c) 21 (d) 20
  31. 31.What comes next? 12, 20, 28, 36, 44, ? (a) 53 (b) 52 (c) 60 (d) 51
  32. 32.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 17 (c) 18 (d) 20
  33. 33.What comes next? 21, 27, 33, 39, 45, ? (a) 51 (b) 50 (c) 57 (d) 52
  34. 34.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 40 (c) 41 (d) 42
  35. 35.What comes next? 26, 28, 30, 32, 34, ? (a) 35 (b) 37 (c) 38 (d) 36
  36. 36.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  37. 37.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 36 (c) 35 (d) 37
  38. 38.What comes next? 29, 27, 25, 23, 21, ? (a) 19 (b) 17 (c) 18 (d) 20
  39. 39.What comes next? 15, 18, 22, 27, 33, ? (a) 39 (b) 41 (c) 42 (d) 40
  40. 40.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90

Answer key

  1. 62
  2. 17
  3. 43
  4. 243
  5. 16
  6. 6
  7. 33
  8. 1
  9. 23
  10. 40
  11. 74
  12. 82
  13. 17
  14. 11
  15. 41
  16. 66
  17. 64
  18. 96
  19. 12
  20. 63
  21. 27
  22. 25
  23. 26
  24. 29
  25. 6
  26. 9
  27. 90
  28. 31
  29. 16
  30. 21
  31. 52
  32. 18
  33. 51
  34. 40
  35. 36
  36. 192
  37. 35
  38. 19
  39. 40
  40. 81

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