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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 912 · 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? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  2. 2.What comes next? 12, 16, 20, 24, 28, ? (a) 36 (b) 33 (c) 32 (d) 31
  3. 3.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 25 (b) 20 (c) 19 (d) 22
  4. 4.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 34 (c) 36 (d) 37
  5. 5.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 23 (c) 24 (d) 25
  6. 6.What comes next? 7, 11, 15, 19, 23, ? (a) 31 (b) 28 (c) 27 (d) 26
  7. 7.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  8. 8.What comes next? 11, 18, 15, 22, 19, 26, ? (a) 33 (b) 22 (c) 29 (d) 23
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 40 (c) 24 (d) 33
  10. 10.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 17 (c) 16 (d) 18
  11. 11.What comes next? 17, 19, 22, 26, 31, ? (a) 39 (b) 36 (c) 37 (d) 38
  12. 12.What comes next? 27, 22, 17, 12, 7, ? (a) 3 (b) 1 (c) 4 (d) 2
  13. 13.What comes next? 3, 9, 15, 21, 27, ? (a) 34 (b) 39 (c) 32 (d) 33
  14. 14.What comes next? 25, 37, 49, 61, 73, ? (a) 85 (b) 84 (c) 97 (d) 86
  15. 15.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 26 (c) 25 (d) 24
  16. 16.What comes next? 69, 60, 51, 42, 33, ? (a) 23 (b) 25 (c) 24 (d) 15
  17. 17.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 11 (b) 10 (c) 21 (d) 22
  18. 18.What comes next? 20, 25, 21, 26, 22, 27, ? (a) 31 (b) 32 (c) 22 (d) 23
  19. 19.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 41 (c) 39 (d) 40
  20. 20.What comes next? 29, 31, 33, 35, 37, ? (a) 39 (b) 38 (c) 40 (d) 41
  21. 21.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 18 (c) 19 (d) 16
  22. 22.What comes next? 18, 24, 20, 26, 22, 28, ? (a) 24 (b) 34 (c) 23 (d) 32
  23. 23.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 41 (c) 43 (d) 40
  24. 24.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 41 (c) 40 (d) 39
  25. 25.What comes next? 5, 17, 29, 41, 53, ? (a) 66 (b) 65 (c) 77 (d) 64
  26. 26.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 4 (c) 6 (d) 5
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  28. 28.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 17 (b) 22 (c) 18 (d) 23
  29. 29.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 39 (c) 38 (d) 40
  30. 30.What comes next? 22, 18, 14, 10, 6, ? (a) 1 (b) 2 (c) 3 (d) 4
  31. 31.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 43 (c) 45 (d) 44
  32. 32.What comes next? 13, 17, 16, 20, 19, 23, ? (a) 24 (b) 27 (c) 22 (d) 21
  33. 33.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 6 (b) 7 (c) 13 (d) 11
  34. 34.What comes next? 2, 7, 6, 11, 10, 15, ? (a) 14 (b) 13 (c) 16 (d) 20
  35. 35.What comes next? 27, 35, 43, 51, 59, ? (a) 75 (b) 67 (c) 68 (d) 66
  36. 36.What comes next? 12, 14, 16, 18, 20, ? (a) 22 (b) 23 (c) 24 (d) 21
  37. 37.What comes next? 35, 32, 29, 26, 23, ? (a) 20 (b) 19 (c) 17 (d) 21
  38. 38.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 15 (c) 17 (d) 16
  39. 39.What comes next? 15, 20, 17, 22, 19, 24, ? (a) 20 (b) 29 (c) 27 (d) 21
  40. 40.What comes next? 9, 17, 25, 33, 41, ? (a) 48 (b) 49 (c) 50 (d) 57

Answer key

  1. 162
  2. 32
  3. 20
  4. 35
  5. 23
  6. 27
  7. 243
  8. 23
  9. 32
  10. 17
  11. 37
  12. 2
  13. 33
  14. 85
  15. 25
  16. 24
  17. 11
  18. 23
  19. 40
  20. 39
  21. 17
  22. 24
  23. 41
  24. 39
  25. 65
  26. 5
  27. 81
  28. 18
  29. 38
  30. 2
  31. 44
  32. 22
  33. 7
  34. 14
  35. 67
  36. 22
  37. 20
  38. 16
  39. 21
  40. 49

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