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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 992 · 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? 50, 42, 34, 26, 18, ? (a) 2 (b) 9 (c) 11 (d) 10
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  3. 3.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 38 (c) 39 (d) 37
  4. 4.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 19 (b) 20 (c) 35 (d) 34
  5. 5.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 26 (b) 20 (c) 21 (d) 23
  6. 6.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  7. 7.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 49 (c) 52 (d) 51
  8. 8.What comes next? 15, 17, 19, 21, 23, ? (a) 26 (b) 24 (c) 27 (d) 25
  9. 9.What comes next? 4, 11, 18, 25, 32, ? (a) 38 (b) 46 (c) 40 (d) 39
  10. 10.What comes next? 28, 25, 22, 19, 16, ? (a) 13 (b) 12 (c) 14 (d) 10
  11. 11.What comes next? 10, 16, 22, 28, 34, ? (a) 39 (b) 40 (c) 41 (d) 46
  12. 12.What comes next? 28, 37, 46, 55, 64, ? (a) 82 (b) 74 (c) 72 (d) 73
  13. 13.What comes next? 16, 13, 10, 7, 4, ? (a) 4 (b) 1 (c) 2 (d) 3
  14. 14.What comes next? 62, 55, 48, 41, 34, ? (a) 26 (b) 28 (c) 27 (d) 20
  15. 15.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 40 (c) 39 (d) 41
  16. 16.What comes next? 17, 15, 13, 11, 9, ? (a) 7 (b) 6 (c) 8 (d) 5
  17. 17.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 42 (c) 41 (d) 40
  18. 18.What comes next? 51, 44, 37, 30, 23, ? (a) 16 (b) 15 (c) 9 (d) 17
  19. 19.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 22 (b) 23 (c) 17 (d) 18
  20. 20.What comes next? 4, 9, 5, 10, 6, 11, ? (a) 6 (b) 15 (c) 7 (d) 16
  21. 21.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 36 (c) 35 (d) 34
  22. 22.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  24. 24.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 16 (c) 19 (d) 18
  25. 25.What comes next? 7, 12, 17, 22, 27, ? (a) 31 (b) 33 (c) 37 (d) 32
  26. 26.What comes next? 30, 38, 46, 54, 62, ? (a) 71 (b) 70 (c) 78 (d) 69
  27. 27.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 36 (c) 35 (d) 37
  28. 28.What comes next? 49, 43, 37, 31, 25, ? (a) 18 (b) 19 (c) 20 (d) 13
  29. 29.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 47 (c) 46 (d) 49
  30. 30.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  31. 31.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 4 (c) 5 (d) 6
  32. 32.What comes next? 18, 20, 23, 27, 32, ? (a) 39 (b) 40 (c) 37 (d) 38
  33. 33.What comes next? 3, 7, 11, 15, 19, ? (a) 24 (b) 22 (c) 27 (d) 23
  34. 34.What comes next? 7, 18, 29, 40, 51, ? (a) 73 (b) 63 (c) 61 (d) 62
  35. 35.What comes next? 27, 30, 33, 36, 39, ? (a) 45 (b) 41 (c) 43 (d) 42
  36. 36.What comes next? 19, 22, 25, 28, 31, ? (a) 33 (b) 34 (c) 37 (d) 35
  37. 37.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 6 (b) 7 (c) 9 (d) 11
  38. 38.What comes next? 21, 25, 29, 33, 37, ? (a) 42 (b) 41 (c) 40 (d) 45
  39. 39.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 38 (c) 35 (d) 37
  40. 40.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 33 (c) 34 (d) 36

Answer key

  1. 10
  2. 81
  3. 38
  4. 20
  5. 21
  6. 192
  7. 50
  8. 25
  9. 39
  10. 13
  11. 40
  12. 73
  13. 1
  14. 27
  15. 39
  16. 7
  17. 40
  18. 16
  19. 18
  20. 7
  21. 34
  22. 162
  23. 64
  24. 17
  25. 32
  26. 70
  27. 35
  28. 19
  29. 47
  30. 243
  31. 5
  32. 38
  33. 23
  34. 62
  35. 42
  36. 34
  37. 7
  38. 41
  39. 36
  40. 34

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