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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 686 · 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? 9, 13, 11, 15, 13, 17, ? (a) 19 (b) 14 (c) 21 (d) 15
  2. 2.What comes next? 21, 23, 25, 27, 29, ? (a) 30 (b) 31 (c) 33 (d) 32
  3. 3.What comes next? 20, 29, 27, 36, 34, 43, ? (a) 41 (b) 52 (c) 40 (d) 45
  4. 4.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 35 (c) 37 (d) 36
  5. 5.What comes next? 6, 12, 11, 17, 16, 22, ? (a) 20 (b) 28 (c) 21 (d) 23
  6. 6.What comes next? 20, 27, 21, 28, 22, 29, ? (a) 36 (b) 22 (c) 23 (d) 35
  7. 7.What comes next? 19, 17, 15, 13, 11, ? (a) 9 (b) 10 (c) 8 (d) 7
  8. 8.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  9. 9.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 33 (c) 34 (d) 35
  10. 10.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 23 (c) 21 (d) 20
  11. 11.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 24 (c) 21 (d) 22
  12. 12.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 14 (b) 13 (c) 7 (d) 6
  13. 13.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  14. 14.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 10 (c) 5 (d) 9
  15. 15.What comes next? 12, 10, 8, 6, 4, ? (a) 1 (b) 3 (c) 4 (d) 2
  16. 16.What comes next? 13, 18, 23, 28, 33, ? (a) 38 (b) 37 (c) 43 (d) 39
  17. 17.What comes next? 49, 40, 31, 22, 13, ? (a) 6 (b) 3 (c) 5 (d) 4
  18. 18.What comes next? 18, 21, 25, 30, 36, ? (a) 44 (b) 45 (c) 42 (d) 43
  19. 19.What comes next? 25, 27, 29, 31, 33, ? (a) 34 (b) 36 (c) 35 (d) 37
  20. 20.What comes next? 23, 29, 35, 41, 47, ? (a) 59 (b) 52 (c) 54 (d) 53
  21. 21.What comes next? 54, 47, 40, 33, 26, ? (a) 20 (b) 18 (c) 12 (d) 19
  22. 22.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  23. 23.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 35 (c) 36 (d) 37
  24. 24.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 33 (c) 31 (d) 30
  25. 25.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 44 (c) 47 (d) 45
  26. 26.What comes next? 12, 20, 17, 25, 22, 30, ? (a) 26 (b) 33 (c) 27 (d) 38
  27. 27.What comes next? 9, 14, 12, 17, 15, 20, ? (a) 22 (b) 18 (c) 25 (d) 17
  28. 28.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 7 (c) 5 (d) 6
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  30. 30.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 17 (c) 19 (d) 18
  31. 31.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  32. 32.What comes next? 24, 21, 18, 15, 12, ? (a) 6 (b) 8 (c) 10 (d) 9
  33. 33.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 17 (c) 18 (d) 20
  34. 34.What comes next? 19, 22, 26, 31, 37, ? (a) 44 (b) 43 (c) 46 (d) 45
  35. 35.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 2 (c) 1 (d) 3
  36. 36.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 41 (d) 38
  37. 37.What comes next? 1, 7, 6, 12, 11, 17, ? (a) 16 (b) 23 (c) 18 (d) 15
  38. 38.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 6 (c) 7 (d) 9
  39. 39.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 30 (c) 29 (d) 28
  40. 40.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 7 (c) 4 (d) 8

Answer key

  1. 15
  2. 31
  3. 41
  4. 36
  5. 21
  6. 23
  7. 9
  8. 160
  9. 33
  10. 21
  11. 22
  12. 7
  13. 64
  14. 9
  15. 2
  16. 38
  17. 4
  18. 43
  19. 35
  20. 53
  21. 19
  22. 162
  23. 36
  24. 31
  25. 45
  26. 27
  27. 18
  28. 5
  29. 243
  30. 18
  31. 81
  32. 9
  33. 18
  34. 44
  35. 1
  36. 39
  37. 16
  38. 7
  39. 29
  40. 7

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