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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 804 · 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? 15, 24, 33, 42, 51, ? (a) 60 (b) 59 (c) 69 (d) 61
  2. 2.What comes next? 14, 24, 34, 44, 54, ? (a) 63 (b) 74 (c) 65 (d) 64
  3. 3.What comes next? 51, 43, 35, 27, 19, ? (a) 3 (b) 12 (c) 10 (d) 11
  4. 4.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 20 (b) 17 (c) 15 (d) 14
  5. 5.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 40 (c) 41 (d) 39
  6. 6.What comes next? 20, 28, 21, 29, 22, 30, ? (a) 37 (b) 22 (c) 38 (d) 23
  7. 7.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  8. 8.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 5 (c) 4 (d) 7
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  10. 10.What comes next? 15, 19, 23, 27, 31, ? (a) 36 (b) 39 (c) 35 (d) 34
  11. 11.What comes next? 4, 8, 6, 10, 8, 12, ? (a) 14 (b) 10 (c) 9 (d) 16
  12. 12.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 4 (b) 11 (c) 12 (d) 5
  13. 13.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 23 (b) 22 (c) 30 (d) 29
  14. 14.What comes next? 12, 19, 13, 20, 14, 21, ? (a) 27 (b) 15 (c) 14 (d) 28
  15. 15.What comes next? 6, 9, 12, 15, 18, ? (a) 24 (b) 20 (c) 22 (d) 21
  16. 16.What comes next? 5, 10, 9, 14, 13, 18, ? (a) 17 (b) 23 (c) 19 (d) 16
  17. 17.What comes next? 32, 30, 28, 26, 24, ? (a) 20 (b) 23 (c) 21 (d) 22
  18. 18.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  19. 19.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 31 (b) 27 (c) 25 (d) 24
  20. 20.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 13 (b) 11 (c) 6 (d) 7
  21. 21.What comes next? 30, 32, 34, 36, 38, ? (a) 40 (b) 41 (c) 42 (d) 39
  22. 22.What comes next? 58, 51, 44, 37, 30, ? (a) 16 (b) 22 (c) 23 (d) 24
  23. 23.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 62 (c) 61 (d) 60
  24. 24.What comes next? 8, 13, 18, 23, 28, ? (a) 34 (b) 32 (c) 38 (d) 33
  25. 25.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 9 (c) 6 (d) 7
  26. 26.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 4 (c) 5 (d) 1
  27. 27.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 14 (c) 13 (d) 16
  28. 28.What comes next? 19, 23, 28, 34, 41, ? (a) 50 (b) 51 (c) 49 (d) 48
  29. 29.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 28 (c) 25 (d) 26
  30. 30.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 4 (c) 2 (d) 1
  31. 31.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  32. 32.What comes next? 7, 14, 12, 19, 17, 24, ? (a) 22 (b) 26 (c) 21 (d) 31
  33. 33.What comes next? 20, 25, 22, 27, 24, 29, ? (a) 32 (b) 34 (c) 25 (d) 26
  34. 34.What comes next? 51, 44, 37, 30, 23, ? (a) 16 (b) 9 (c) 17 (d) 15
  35. 35.What comes next? 49, 40, 31, 22, 13, ? (a) 4 (b) 5 (c) 6 (d) 3
  36. 36.What comes next? 68, 59, 50, 41, 32, ? (a) 22 (b) 23 (c) 14 (d) 24
  37. 37.What comes next? 10, 21, 32, 43, 54, ? (a) 65 (b) 76 (c) 66 (d) 64
  38. 38.What comes next? 11, 13, 15, 17, 19, ? (a) 23 (b) 20 (c) 21 (d) 22
  39. 39.What comes next? 4, 16, 28, 40, 52, ? (a) 64 (b) 63 (c) 65 (d) 76
  40. 40.What comes next? 56, 49, 42, 35, 28, ? (a) 14 (b) 22 (c) 20 (d) 21

Answer key

  1. 60
  2. 64
  3. 11
  4. 15
  5. 40
  6. 23
  7. 243
  8. 5
  9. 162
  10. 35
  11. 10
  12. 5
  13. 23
  14. 15
  15. 21
  16. 17
  17. 22
  18. 128
  19. 25
  20. 7
  21. 40
  22. 23
  23. 61
  24. 33
  25. 7
  26. 5
  27. 14
  28. 49
  29. 26
  30. 1
  31. 81
  32. 22
  33. 26
  34. 16
  35. 4
  36. 23
  37. 65
  38. 21
  39. 64
  40. 21

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