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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 977 · 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? 15, 21, 27, 33, 39, ? (a) 46 (b) 44 (c) 51 (d) 45
  2. 2.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 18 (b) 20 (c) 7 (d) 8
  3. 3.What comes next? 23, 32, 41, 50, 59, ? (a) 67 (b) 77 (c) 69 (d) 68
  4. 4.What comes next? 34, 32, 30, 28, 26, ? (a) 22 (b) 25 (c) 24 (d) 23
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  6. 6.What comes next? 66, 57, 48, 39, 30, ? (a) 20 (b) 12 (c) 21 (d) 22
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  8. 8.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 3 (c) 8 (d) 7
  9. 9.What comes next? 56, 50, 44, 38, 32, ? (a) 20 (b) 26 (c) 25 (d) 27
  10. 10.What comes next? 25, 28, 31, 34, 37, ? (a) 43 (b) 41 (c) 39 (d) 40
  11. 11.What comes next? 8, 13, 18, 23, 28, ? (a) 32 (b) 38 (c) 34 (d) 33
  12. 12.What comes next? 55, 50, 45, 40, 35, ? (a) 31 (b) 29 (c) 30 (d) 25
  13. 13.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 26 (b) 24 (c) 23 (d) 28
  14. 14.What comes next? 29, 38, 47, 56, 65, ? (a) 75 (b) 83 (c) 73 (d) 74
  15. 15.What comes next? 64, 56, 48, 40, 32, ? (a) 25 (b) 24 (c) 16 (d) 23
  16. 16.What comes next? 1, 9, 4, 12, 7, 15, ? (a) 23 (b) 10 (c) 20 (d) 9
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  18. 18.What comes next? 49, 41, 33, 25, 17, ? (a) 1 (b) 9 (c) 8 (d) 10
  19. 19.What comes next? 12, 17, 22, 27, 32, ? (a) 38 (b) 42 (c) 37 (d) 36
  20. 20.What comes next? 5, 13, 7, 15, 9, 17, ? (a) 10 (b) 23 (c) 11 (d) 25
  21. 21.What comes next? 17, 25, 24, 32, 31, 39, ? (a) 40 (b) 37 (c) 38 (d) 47
  22. 22.What comes next? 19, 21, 24, 28, 33, ? (a) 39 (b) 38 (c) 41 (d) 40
  23. 23.What comes next? 33, 31, 29, 27, 25, ? (a) 22 (b) 21 (c) 23 (d) 24
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  25. 25.What comes next? 17, 27, 37, 47, 57, ? (a) 77 (b) 66 (c) 67 (d) 68
  26. 26.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 35 (c) 32 (d) 33
  27. 27.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 37 (c) 38 (d) 39
  28. 28.What comes next? 4, 12, 6, 14, 8, 16, ? (a) 24 (b) 10 (c) 22 (d) 9
  29. 29.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 49 (c) 52 (d) 51
  30. 30.What comes next? 25, 29, 33, 37, 41, ? (a) 46 (b) 44 (c) 49 (d) 45
  31. 31.What comes next? 7, 16, 14, 23, 21, 30, ? (a) 27 (b) 28 (c) 32 (d) 39
  32. 32.What comes next? 32, 27, 22, 17, 12, ? (a) 6 (b) 8 (c) 7 (d) 2
  33. 33.What comes next? 22, 33, 44, 55, 66, ? (a) 76 (b) 77 (c) 88 (d) 78
  34. 34.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  35. 35.What comes next? 29, 27, 25, 23, 21, ? (a) 20 (b) 17 (c) 18 (d) 19
  36. 36.What comes next? 46, 37, 28, 19, 10, ? (a) 1 (b) 4 (c) 3 (d) 2
  37. 37.What comes next? 19, 25, 23, 29, 27, 33, ? (a) 31 (b) 39 (c) 30 (d) 35
  38. 38.What comes next? 3, 8, 13, 18, 23, ? (a) 29 (b) 33 (c) 27 (d) 28
  39. 39.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 39 (c) 36 (d) 37
  40. 40.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 26 (c) 25 (d) 24

Answer key

  1. 45
  2. 8
  3. 68
  4. 24
  5. 96
  6. 21
  7. 160
  8. 7
  9. 26
  10. 40
  11. 33
  12. 30
  13. 24
  14. 74
  15. 24
  16. 10
  17. 243
  18. 9
  19. 37
  20. 11
  21. 38
  22. 39
  23. 23
  24. 32
  25. 67
  26. 33
  27. 38
  28. 10
  29. 50
  30. 45
  31. 28
  32. 7
  33. 77
  34. 81
  35. 19
  36. 1
  37. 31
  38. 28
  39. 37
  40. 24

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