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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 938 · 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? 55, 47, 39, 31, 23, ? (a) 16 (b) 14 (c) 7 (d) 15
  2. 2.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 28 (c) 27 (d) 26
  3. 3.What comes next? 9, 17, 25, 33, 41, ? (a) 49 (b) 57 (c) 50 (d) 48
  4. 4.What comes next? 20, 27, 34, 41, 48, ? (a) 62 (b) 54 (c) 55 (d) 56
  5. 5.What comes next? 17, 24, 31, 38, 45, ? (a) 52 (b) 59 (c) 53 (d) 51
  6. 6.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 56 (c) 54 (d) 55
  7. 7.What comes next? 23, 20, 17, 14, 11, ? (a) 8 (b) 9 (c) 5 (d) 7
  8. 8.What comes next? 9, 16, 14, 21, 19, 26, ? (a) 24 (b) 28 (c) 33 (d) 23
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  10. 10.What comes next? 12, 20, 19, 27, 26, 34, ? (a) 42 (b) 35 (c) 32 (d) 33
  11. 11.What comes next? 37, 33, 29, 25, 21, ? (a) 17 (b) 13 (c) 16 (d) 18
  12. 12.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  13. 13.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 38 (c) 36 (d) 37
  14. 14.What comes next? 26, 22, 18, 14, 10, ? (a) 6 (b) 7 (c) 5 (d) 2
  15. 15.What comes next? 39, 37, 35, 33, 31, ? (a) 28 (b) 29 (c) 27 (d) 30
  16. 16.What comes next? 6, 15, 24, 33, 42, ? (a) 50 (b) 60 (c) 52 (d) 51
  17. 17.What comes next? 11, 16, 21, 26, 31, ? (a) 41 (b) 36 (c) 35 (d) 37
  18. 18.What comes next? 4, 9, 6, 11, 8, 13, ? (a) 18 (b) 16 (c) 10 (d) 9
  19. 19.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 27 (b) 26 (c) 29 (d) 32
  20. 20.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  21. 21.What comes next? 22, 29, 36, 43, 50, ? (a) 57 (b) 58 (c) 64 (d) 56
  22. 22.What comes next? 15, 22, 20, 27, 25, 32, ? (a) 34 (b) 30 (c) 29 (d) 39
  23. 23.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 1 (c) 6 (d) 7
  24. 24.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 14 (b) 20 (c) 13 (d) 21
  25. 25.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  26. 26.What comes next? 7, 10, 14, 19, 25, ? (a) 34 (b) 31 (c) 33 (d) 32
  27. 27.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 29 (c) 28 (d) 26
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  29. 29.What comes next? 25, 21, 17, 13, 9, ? (a) 5 (b) 1 (c) 4 (d) 6
  30. 30.What comes next? 4, 12, 10, 18, 16, 24, ? (a) 26 (b) 22 (c) 32 (d) 21
  31. 31.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 10 (b) 11 (c) 13 (d) 15
  32. 32.What comes next? 16, 24, 23, 31, 30, 38, ? (a) 36 (b) 39 (c) 37 (d) 46
  33. 33.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 17 (b) 14 (c) 11 (d) 12
  34. 34.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 32 (c) 33 (d) 34
  35. 35.What comes next? 32, 28, 24, 20, 16, ? (a) 12 (b) 8 (c) 11 (d) 13
  36. 36.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 4 (c) 5 (d) 7
  37. 37.What comes next? 18, 25, 32, 39, 46, ? (a) 60 (b) 52 (c) 53 (d) 54
  38. 38.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 29 (c) 30 (d) 28
  39. 39.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 26 (c) 24 (d) 25
  40. 40.What comes next? 66, 58, 50, 42, 34, ? (a) 27 (b) 26 (c) 18 (d) 25

Answer key

  1. 15
  2. 27
  3. 49
  4. 55
  5. 52
  6. 55
  7. 8
  8. 24
  9. 162
  10. 33
  11. 17
  12. 160
  13. 36
  14. 6
  15. 29
  16. 51
  17. 36
  18. 10
  19. 27
  20. 81
  21. 57
  22. 30
  23. 7
  24. 14
  25. 243
  26. 32
  27. 27
  28. 96
  29. 5
  30. 22
  31. 11
  32. 37
  33. 12
  34. 33
  35. 12
  36. 5
  37. 53
  38. 28
  39. 25
  40. 26

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