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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 877 · 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? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 30 (d) 31
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 128 (d) 96
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  5. 5.What comes next? 61, 53, 45, 37, 29, ? (a) 21 (b) 22 (c) 20 (d) 13
  6. 6.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 3 (b) 4 (c) 11 (d) 10
  7. 7.What comes next? 10, 16, 12, 18, 14, 20, ? (a) 24 (b) 16 (c) 15 (d) 26
  8. 8.What comes next? 8, 11, 10, 13, 12, 15, ? (a) 18 (b) 16 (c) 13 (d) 14
  9. 9.What comes next? 6, 12, 18, 24, 30, ? (a) 42 (b) 35 (c) 37 (d) 36
  10. 10.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 31 (c) 28 (d) 30
  11. 11.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 5 (c) 4 (d) 6
  12. 12.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 15 (b) 21 (c) 14 (d) 22
  13. 13.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 34 (c) 37 (d) 36
  14. 14.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  15. 15.What comes next? 27, 25, 23, 21, 19, ? (a) 18 (b) 17 (c) 15 (d) 16
  16. 16.What comes next? 29, 39, 49, 59, 69, ? (a) 89 (b) 80 (c) 79 (d) 78
  17. 17.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 13 (b) 19 (c) 14 (d) 16
  18. 18.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 15 (b) 16 (c) 18 (d) 20
  19. 19.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 22 (c) 21 (d) 20
  20. 20.What comes next? 3, 12, 21, 30, 39, ? (a) 49 (b) 48 (c) 57 (d) 47
  21. 21.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 10 (c) 11 (d) 8
  22. 22.What comes next? 31, 28, 25, 22, 19, ? (a) 13 (b) 17 (c) 16 (d) 15
  23. 23.What comes next? 44, 39, 34, 29, 24, ? (a) 20 (b) 19 (c) 14 (d) 18
  24. 24.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 50 (c) 49 (d) 48
  25. 25.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 27 (c) 25 (d) 26
  26. 26.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 17 (d) 19
  27. 27.What comes next? 25, 35, 45, 55, 65, ? (a) 76 (b) 85 (c) 75 (d) 74
  28. 28.What comes next? 52, 45, 38, 31, 24, ? (a) 17 (b) 10 (c) 16 (d) 18
  29. 29.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 25 (b) 24 (c) 15 (d) 16
  30. 30.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 9 (b) 14 (c) 15 (d) 10
  31. 31.What comes next? 10, 13, 16, 19, 22, ? (a) 24 (b) 25 (c) 26 (d) 28
  32. 32.What comes next? 20, 24, 28, 32, 36, ? (a) 40 (b) 41 (c) 44 (d) 39
  33. 33.What comes next? 24, 33, 42, 51, 60, ? (a) 70 (b) 68 (c) 69 (d) 78
  34. 34.What comes next? 46, 37, 28, 19, 10, ? (a) 3 (b) 1 (c) 4 (d) 2
  35. 35.What comes next? 29, 38, 47, 56, 65, ? (a) 73 (b) 75 (c) 83 (d) 74
  36. 36.What comes next? 18, 20, 22, 24, 26, ? (a) 29 (b) 30 (c) 27 (d) 28
  37. 37.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 24 (c) 23 (d) 26
  38. 38.What comes next? 21, 19, 17, 15, 13, ? (a) 11 (b) 12 (c) 9 (d) 10
  39. 39.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 6 (b) 13 (c) 7 (d) 15
  40. 40.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96

Answer key

  1. 31
  2. 243
  3. 128
  4. 81
  5. 21
  6. 4
  7. 16
  8. 14
  9. 36
  10. 29
  11. 5
  12. 15
  13. 35
  14. 64
  15. 17
  16. 79
  17. 14
  18. 16
  19. 21
  20. 48
  21. 11
  22. 16
  23. 19
  24. 49
  25. 26
  26. 17
  27. 75
  28. 17
  29. 16
  30. 10
  31. 25
  32. 40
  33. 69
  34. 1
  35. 74
  36. 28
  37. 24
  38. 11
  39. 7
  40. 96

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