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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 809 · 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? 28, 35, 42, 49, 56, ? (a) 70 (b) 64 (c) 62 (d) 63
  2. 2.What comes next? 8, 20, 32, 44, 56, ? (a) 68 (b) 80 (c) 67 (d) 69
  3. 3.What comes next? 37, 31, 25, 19, 13, ? (a) 6 (b) 7 (c) 8 (d) 1
  4. 4.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 41 (c) 42 (d) 40
  5. 5.What comes next? 11, 17, 23, 29, 35, ? (a) 47 (b) 40 (c) 41 (d) 42
  6. 6.What comes next? 15, 19, 24, 30, 37, ? (a) 46 (b) 44 (c) 47 (d) 45
  7. 7.What comes next? 12, 20, 19, 27, 26, 34, ? (a) 35 (b) 32 (c) 33 (d) 42
  8. 8.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 35 (c) 32 (d) 34
  9. 9.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 4 (c) 2 (d) 1
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  12. 12.What comes next? 2, 10, 8, 16, 14, 22, ? (a) 20 (b) 24 (c) 30 (d) 19
  13. 13.What comes next? 10, 19, 13, 22, 16, 25, ? (a) 34 (b) 18 (c) 31 (d) 19
  14. 14.What comes next? 5, 9, 6, 10, 7, 11, ? (a) 7 (b) 14 (c) 15 (d) 8
  15. 15.What comes next? 4, 16, 28, 40, 52, ? (a) 65 (b) 64 (c) 63 (d) 76
  16. 16.What comes next? 7, 16, 25, 34, 43, ? (a) 51 (b) 52 (c) 53 (d) 61
  17. 17.What comes next? 19, 24, 23, 28, 27, 32, ? (a) 30 (b) 37 (c) 33 (d) 31
  18. 18.What comes next? 11, 16, 14, 19, 17, 22, ? (a) 27 (b) 24 (c) 20 (d) 19
  19. 19.What comes next? 6, 13, 7, 14, 8, 15, ? (a) 9 (b) 21 (c) 8 (d) 22
  20. 20.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  21. 21.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 33 (c) 34 (d) 35
  22. 22.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 18 (c) 16 (d) 19
  23. 23.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 24 (c) 22 (d) 23
  24. 24.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 36 (c) 39 (d) 37
  25. 25.What comes next? 18, 30, 42, 54, 66, ? (a) 90 (b) 79 (c) 77 (d) 78
  26. 26.What comes next? 2, 5, 8, 11, 14, ? (a) 16 (b) 20 (c) 17 (d) 18
  27. 27.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 29 (b) 16 (c) 30 (d) 17
  28. 28.What comes next? 29, 31, 33, 35, 37, ? (a) 39 (b) 41 (c) 38 (d) 40
  29. 29.What comes next? 13, 21, 19, 27, 25, 33, ? (a) 35 (b) 30 (c) 41 (d) 31
  30. 30.What comes next? 26, 31, 36, 41, 46, ? (a) 51 (b) 52 (c) 56 (d) 50
  31. 31.What comes next? 14, 21, 28, 35, 42, ? (a) 48 (b) 56 (c) 50 (d) 49
  32. 32.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 12 (c) 11 (d) 13
  33. 33.What comes next? 29, 39, 49, 59, 69, ? (a) 80 (b) 89 (c) 79 (d) 78
  34. 34.What comes next? 6, 13, 20, 27, 34, ? (a) 40 (b) 41 (c) 42 (d) 48
  35. 35.What comes next? 45, 37, 29, 21, 13, ? (a) 6 (b) 4 (c) 7 (d) 5
  36. 36.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 3 (c) 4 (d) 2
  37. 37.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 14 (b) 23 (c) 21 (d) 15
  38. 38.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 28 (b) 21 (c) 26 (d) 22
  39. 39.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  40. 40.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 31 (d) 29

Answer key

  1. 63
  2. 68
  3. 7
  4. 40
  5. 41
  6. 45
  7. 33
  8. 33
  9. 2
  10. 81
  11. 128
  12. 20
  13. 19
  14. 8
  15. 64
  16. 52
  17. 31
  18. 20
  19. 9
  20. 243
  21. 34
  22. 19
  23. 22
  24. 37
  25. 78
  26. 17
  27. 17
  28. 39
  29. 31
  30. 51
  31. 49
  32. 12
  33. 79
  34. 41
  35. 5
  36. 2
  37. 15
  38. 22
  39. 64
  40. 29

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