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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 727 · 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? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 200 (d) 161
  3. 3.What comes next? 33, 28, 23, 18, 13, ? (a) 7 (b) 8 (c) 9 (d) 3
  4. 4.What comes next? 20, 31, 42, 53, 64, ? (a) 76 (b) 86 (c) 75 (d) 74
  5. 5.What comes next? 8, 14, 20, 26, 32, ? (a) 38 (b) 39 (c) 37 (d) 44
  6. 6.What comes next? 9, 15, 21, 27, 33, ? (a) 40 (b) 39 (c) 38 (d) 45
  7. 7.What comes next? 43, 38, 33, 28, 23, ? (a) 19 (b) 18 (c) 13 (d) 17
  8. 8.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 20 (b) 6 (c) 19 (d) 7
  9. 9.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 7 (b) 9 (c) 6 (d) 11
  10. 10.What comes next? 8, 17, 14, 23, 20, 29, ? (a) 38 (b) 26 (c) 25 (d) 32
  11. 11.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  12. 12.What comes next? 51, 46, 41, 36, 31, ? (a) 27 (b) 21 (c) 25 (d) 26
  13. 13.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 41 (d) 38
  14. 14.What comes next? 7, 18, 29, 40, 51, ? (a) 62 (b) 63 (c) 61 (d) 73
  15. 15.What comes next? 20, 26, 21, 27, 22, 28, ? (a) 22 (b) 34 (c) 33 (d) 23
  16. 16.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 27 (b) 25 (c) 20 (d) 21
  17. 17.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 36 (c) 33 (d) 34
  18. 18.What comes next? 40, 34, 28, 22, 16, ? (a) 9 (b) 4 (c) 10 (d) 11
  19. 19.What comes next? 14, 24, 34, 44, 54, ? (a) 65 (b) 74 (c) 64 (d) 63
  20. 20.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  21. 21.What comes next? 63, 55, 47, 39, 31, ? (a) 15 (b) 22 (c) 23 (d) 24
  22. 22.What comes next? 25, 32, 39, 46, 53, ? (a) 67 (b) 59 (c) 61 (d) 60
  23. 23.What comes next? 52, 43, 34, 25, 16, ? (a) 9 (b) 6 (c) 7 (d) 8
  24. 24.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 32 (c) 31 (d) 30
  25. 25.What comes next? 23, 34, 45, 56, 67, ? (a) 89 (b) 79 (c) 77 (d) 78
  26. 26.What comes next? 52, 44, 36, 28, 20, ? (a) 4 (b) 13 (c) 12 (d) 11
  27. 27.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 24 (b) 19 (c) 20 (d) 26
  28. 28.What comes next? 20, 26, 32, 38, 44, ? (a) 51 (b) 50 (c) 49 (d) 56
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  30. 30.What comes next? 60, 51, 42, 33, 24, ? (a) 14 (b) 6 (c) 16 (d) 15
  31. 31.What comes next? 45, 41, 37, 33, 29, ? (a) 25 (b) 21 (c) 24 (d) 26
  32. 32.What comes next? 21, 17, 13, 9, 5, ? (a) 4 (b) 1 (c) 2 (d) 3
  33. 33.What comes next? 61, 52, 43, 34, 25, ? (a) 7 (b) 17 (c) 16 (d) 15
  34. 34.What comes next? 25, 28, 31, 34, 37, ? (a) 39 (b) 43 (c) 41 (d) 40
  35. 35.What comes next? 24, 35, 46, 57, 68, ? (a) 90 (b) 79 (c) 80 (d) 78
  36. 36.What comes next? 13, 20, 27, 34, 41, ? (a) 47 (b) 48 (c) 55 (d) 49
  37. 37.What comes next? 37, 35, 33, 31, 29, ? (a) 28 (b) 27 (c) 25 (d) 26
  38. 38.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  39. 39.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 15 (b) 17 (c) 14 (d) 21
  40. 40.What comes next? 6, 10, 14, 18, 22, ? (a) 30 (b) 26 (c) 25 (d) 27

Answer key

  1. 81
  2. 160
  3. 8
  4. 75
  5. 38
  6. 39
  7. 18
  8. 7
  9. 7
  10. 26
  11. 243
  12. 26
  13. 39
  14. 62
  15. 23
  16. 21
  17. 34
  18. 10
  19. 64
  20. 32
  21. 23
  22. 60
  23. 7
  24. 31
  25. 78
  26. 12
  27. 20
  28. 50
  29. 162
  30. 15
  31. 25
  32. 1
  33. 16
  34. 40
  35. 79
  36. 48
  37. 27
  38. 64
  39. 15
  40. 26

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