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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 723 · 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? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  2. 2.What comes next? 18, 26, 24, 32, 30, 38, ? (a) 40 (b) 46 (c) 35 (d) 36
  3. 3.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 22 (c) 24 (d) 21
  4. 4.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  5. 5.What comes next? 8, 16, 24, 32, 40, ? (a) 48 (b) 56 (c) 47 (d) 49
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 270 (d) 216
  7. 7.What comes next? 11, 16, 15, 20, 19, 24, ? (a) 25 (b) 22 (c) 29 (d) 23
  8. 8.What comes next? 25, 21, 17, 13, 9, ? (a) 4 (b) 1 (c) 6 (d) 5
  9. 9.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 25 (b) 24 (c) 16 (d) 15
  10. 10.What comes next? 10, 19, 12, 21, 14, 23, ? (a) 15 (b) 30 (c) 16 (d) 32
  11. 11.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 16 (b) 11 (c) 10 (d) 15
  12. 12.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 19 (c) 16 (d) 17
  13. 13.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 25 (c) 26 (d) 24
  14. 14.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 22 (b) 27 (c) 19 (d) 20
  15. 15.What comes next? 34, 30, 26, 22, 18, ? (a) 15 (b) 13 (c) 10 (d) 14
  16. 16.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 2 (c) 1 (d) 4
  17. 17.What comes next? 48, 42, 36, 30, 24, ? (a) 17 (b) 18 (c) 12 (d) 19
  18. 18.What comes next? 38, 36, 34, 32, 30, ? (a) 26 (b) 27 (c) 28 (d) 29
  19. 19.What comes next? 11, 20, 13, 22, 15, 24, ? (a) 17 (b) 16 (c) 33 (d) 31
  20. 20.What comes next? 39, 34, 29, 24, 19, ? (a) 14 (b) 15 (c) 13 (d) 9
  21. 21.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 24 (c) 25 (d) 23
  22. 22.What comes next? 1, 7, 2, 8, 3, 9, ? (a) 3 (b) 15 (c) 14 (d) 4
  23. 23.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 42 (c) 49 (d) 43
  24. 24.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 4 (c) 3 (d) 5
  25. 25.What comes next? 26, 35, 44, 53, 62, ? (a) 70 (b) 72 (c) 71 (d) 80
  26. 26.What comes next? 5, 12, 19, 26, 33, ? (a) 47 (b) 41 (c) 39 (d) 40
  27. 27.What comes next? 4, 12, 7, 15, 10, 18, ? (a) 12 (b) 26 (c) 23 (d) 13
  28. 28.What comes next? 16, 27, 38, 49, 60, ? (a) 82 (b) 71 (c) 72 (d) 70
  29. 29.What comes next? 11, 19, 16, 24, 21, 29, ? (a) 26 (b) 32 (c) 25 (d) 37
  30. 30.What comes next? 29, 41, 53, 65, 77, ? (a) 89 (b) 88 (c) 90 (d) 101
  31. 31.What comes next? 9, 15, 21, 27, 33, ? (a) 39 (b) 38 (c) 40 (d) 45
  32. 32.What comes next? 10, 17, 24, 31, 38, ? (a) 45 (b) 46 (c) 44 (d) 52
  33. 33.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 40 (d) 33
  34. 34.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 12 (c) 8 (d) 13
  35. 35.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 7 (c) 4 (d) 8
  36. 36.What comes next? 12, 16, 20, 24, 28, ? (a) 33 (b) 31 (c) 32 (d) 36
  37. 37.What comes next? 3, 7, 12, 18, 25, ? (a) 33 (b) 34 (c) 35 (d) 32
  38. 38.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 30 (c) 31 (d) 29
  39. 39.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 40 (c) 39 (d) 41
  40. 40.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 27 (c) 26 (d) 28

Answer key

  1. 64
  2. 36
  3. 22
  4. 192
  5. 48
  6. 243
  7. 23
  8. 5
  9. 16
  10. 16
  11. 11
  12. 17
  13. 25
  14. 20
  15. 14
  16. 1
  17. 18
  18. 28
  19. 17
  20. 14
  21. 24
  22. 4
  23. 42
  24. 3
  25. 71
  26. 40
  27. 13
  28. 71
  29. 26
  30. 89
  31. 39
  32. 45
  33. 32
  34. 12
  35. 7
  36. 32
  37. 33
  38. 30
  39. 39
  40. 26

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