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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 846 · 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? 19, 25, 22, 28, 25, 31, ? (a) 28 (b) 34 (c) 37 (d) 27
  2. 2.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 5 (c) 3 (d) 2
  3. 3.What comes next? 23, 21, 19, 17, 15, ? (a) 13 (b) 11 (c) 12 (d) 14
  4. 4.What comes next? 17, 22, 18, 23, 19, 24, ? (a) 19 (b) 20 (c) 29 (d) 28
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  6. 6.What comes next? 47, 40, 33, 26, 19, ? (a) 11 (b) 5 (c) 12 (d) 13
  7. 7.What comes next? 21, 33, 45, 57, 69, ? (a) 82 (b) 81 (c) 80 (d) 93
  8. 8.What comes next? 28, 23, 18, 13, 8, ? (a) 5 (b) 3 (c) 2 (d) 4
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  10. 10.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 6 (c) 4 (d) 5
  11. 11.What comes next? 30, 25, 20, 15, 10, ? (a) 4 (b) 7 (c) 5 (d) 6
  12. 12.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 25 (b) 21 (c) 29 (d) 20
  13. 13.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  14. 14.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 36 (c) 37 (d) 35
  15. 15.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 33 (c) 35 (d) 34
  16. 16.What comes next? 10, 16, 13, 19, 16, 22, ? (a) 25 (b) 19 (c) 18 (d) 28
  17. 17.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 38 (c) 37 (d) 36
  18. 18.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 7 (b) 11 (c) 6 (d) 9
  19. 19.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 37 (c) 38 (d) 39
  20. 20.What comes next? 43, 40, 37, 34, 31, ? (a) 25 (b) 28 (c) 29 (d) 27
  21. 21.What comes next? 41, 37, 33, 29, 25, ? (a) 20 (b) 21 (c) 17 (d) 22
  22. 22.What comes next? 10, 19, 28, 37, 46, ? (a) 55 (b) 54 (c) 56 (d) 64
  23. 23.What comes next? 10, 16, 11, 17, 12, 18, ? (a) 23 (b) 13 (c) 12 (d) 24
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  25. 25.What comes next? 14, 18, 22, 26, 30, ? (a) 33 (b) 34 (c) 35 (d) 38
  26. 26.What comes next? 29, 39, 49, 59, 69, ? (a) 78 (b) 79 (c) 89 (d) 80
  27. 27.What comes next? 17, 18, 20, 23, 27, ? (a) 33 (b) 32 (c) 34 (d) 31
  28. 28.What comes next? 29, 31, 33, 35, 37, ? (a) 38 (b) 41 (c) 40 (d) 39
  29. 29.What comes next? 6, 16, 26, 36, 46, ? (a) 57 (b) 55 (c) 56 (d) 66
  30. 30.What comes next? 17, 26, 35, 44, 53, ? (a) 61 (b) 71 (c) 62 (d) 63
  31. 31.What comes next? 36, 30, 24, 18, 12, ? (a) 5 (b) 8 (c) 6 (d) 7
  32. 32.What comes next? 10, 18, 11, 19, 12, 20, ? (a) 12 (b) 13 (c) 27 (d) 28
  33. 33.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 47 (c) 50 (d) 48
  34. 34.What comes next? 11, 19, 27, 35, 43, ? (a) 59 (b) 50 (c) 52 (d) 51
  35. 35.What comes next? 9, 13, 18, 24, 31, ? (a) 41 (b) 39 (c) 38 (d) 40
  36. 36.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 3 (c) 6 (d) 4
  37. 37.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 243 (d) 216
  38. 38.What comes next? 38, 34, 30, 26, 22, ? (a) 19 (b) 17 (c) 18 (d) 14
  39. 39.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 31 (c) 30 (d) 29
  40. 40.What comes next? 16, 25, 17, 26, 18, 27, ? (a) 19 (b) 18 (c) 36 (d) 35

Answer key

  1. 28
  2. 3
  3. 13
  4. 20
  5. 96
  6. 12
  7. 81
  8. 3
  9. 160
  10. 5
  11. 5
  12. 21
  13. 128
  14. 35
  15. 33
  16. 19
  17. 37
  18. 7
  19. 38
  20. 28
  21. 21
  22. 55
  23. 13
  24. 81
  25. 34
  26. 79
  27. 32
  28. 39
  29. 56
  30. 62
  31. 6
  32. 13
  33. 48
  34. 51
  35. 39
  36. 4
  37. 243
  38. 18
  39. 30
  40. 19

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