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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 747 · 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? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  2. 2.What comes next? 3, 9, 15, 21, 27, ? (a) 32 (b) 33 (c) 34 (d) 39
  3. 3.What comes next? 33, 28, 23, 18, 13, ? (a) 7 (b) 3 (c) 8 (d) 9
  4. 4.What comes next? 13, 19, 25, 31, 37, ? (a) 43 (b) 49 (c) 42 (d) 44
  5. 5.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 17 (b) 23 (c) 18 (d) 20
  6. 6.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 15 (b) 10 (c) 17 (d) 11
  7. 7.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 41 (c) 44 (d) 42
  8. 8.What comes next? 13, 20, 19, 26, 25, 32, ? (a) 39 (b) 33 (c) 31 (d) 30
  9. 9.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 30 (c) 27 (d) 29
  10. 10.What comes next? 16, 21, 19, 24, 22, 27, ? (a) 25 (b) 32 (c) 24 (d) 29
  11. 11.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  12. 12.What comes next? 10, 17, 12, 19, 14, 21, ? (a) 26 (b) 16 (c) 28 (d) 15
  13. 13.What comes next? 15, 23, 16, 24, 17, 25, ? (a) 32 (b) 33 (c) 17 (d) 18
  14. 14.What comes next? 19, 22, 26, 31, 37, ? (a) 44 (b) 46 (c) 43 (d) 45
  15. 15.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 43 (c) 42 (d) 49
  16. 16.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 5 (b) 12 (c) 13 (d) 6
  17. 17.What comes next? 3, 12, 6, 15, 9, 18, ? (a) 27 (b) 24 (c) 11 (d) 12
  18. 18.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 34 (c) 32 (d) 33
  19. 19.What comes next? 12, 22, 32, 42, 52, ? (a) 72 (b) 62 (c) 61 (d) 63
  20. 20.What comes next? 53, 46, 39, 32, 25, ? (a) 11 (b) 19 (c) 17 (d) 18
  21. 21.What comes next? 16, 18, 20, 22, 24, ? (a) 27 (b) 25 (c) 26 (d) 28
  22. 22.What comes next? 30, 37, 44, 51, 58, ? (a) 72 (b) 64 (c) 66 (d) 65
  23. 23.What comes next? 36, 34, 32, 30, 28, ? (a) 25 (b) 24 (c) 27 (d) 26
  24. 24.What comes next? 7, 17, 27, 37, 47, ? (a) 67 (b) 58 (c) 56 (d) 57
  25. 25.What comes next? 10, 12, 15, 19, 24, ? (a) 30 (b) 29 (c) 32 (d) 31
  26. 26.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 22 (c) 23 (d) 21
  27. 27.What comes next? 18, 27, 23, 32, 28, 37, ? (a) 32 (b) 46 (c) 33 (d) 41
  28. 28.What comes next? 22, 28, 34, 40, 46, ? (a) 53 (b) 58 (c) 51 (d) 52
  29. 29.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  30. 30.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 17 (c) 19 (d) 20
  31. 31.What comes next? 15, 20, 17, 22, 19, 24, ? (a) 27 (b) 29 (c) 20 (d) 21
  32. 32.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 3 (c) 4 (d) 5
  33. 33.What comes next? 16, 25, 23, 32, 30, 39, ? (a) 37 (b) 41 (c) 48 (d) 36
  34. 34.What comes next? 23, 35, 47, 59, 71, ? (a) 82 (b) 84 (c) 95 (d) 83
  35. 35.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 26 (c) 28 (d) 29
  36. 36.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  37. 37.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 21 (c) 24 (d) 22
  38. 38.What comes next? 42, 36, 30, 24, 18, ? (a) 12 (b) 11 (c) 13 (d) 6
  39. 39.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 14 (c) 13 (d) 12
  40. 40.What comes next? 57, 48, 39, 30, 21, ? (a) 3 (b) 13 (c) 12 (d) 11

Answer key

  1. 32
  2. 33
  3. 8
  4. 43
  5. 18
  6. 11
  7. 42
  8. 31
  9. 28
  10. 25
  11. 243
  12. 16
  13. 18
  14. 44
  15. 42
  16. 6
  17. 12
  18. 32
  19. 62
  20. 18
  21. 26
  22. 65
  23. 26
  24. 57
  25. 30
  26. 22
  27. 33
  28. 52
  29. 81
  30. 18
  31. 21
  32. 3
  33. 37
  34. 83
  35. 27
  36. 128
  37. 22
  38. 12
  39. 13
  40. 12

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