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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 774 · 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, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  2. 2.What comes next? 24, 28, 32, 36, 40, ? (a) 45 (b) 43 (c) 48 (d) 44
  3. 3.What comes next? 10, 12, 14, 16, 18, ? (a) 20 (b) 21 (c) 22 (d) 19
  4. 4.What comes next? 20, 29, 26, 35, 32, 41, ? (a) 44 (b) 37 (c) 38 (d) 50
  5. 5.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 15 (b) 22 (c) 14 (d) 21
  6. 6.What comes next? 41, 37, 33, 29, 25, ? (a) 17 (b) 20 (c) 22 (d) 21
  7. 7.What comes next? 6, 12, 18, 24, 30, ? (a) 42 (b) 35 (c) 36 (d) 37
  8. 8.What comes next? 20, 29, 38, 47, 56, ? (a) 65 (b) 74 (c) 66 (d) 64
  9. 9.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 12 (b) 5 (c) 13 (d) 6
  10. 10.What comes next? 61, 52, 43, 34, 25, ? (a) 15 (b) 17 (c) 16 (d) 7
  11. 11.What comes next? 8, 15, 9, 16, 10, 17, ? (a) 24 (b) 23 (c) 10 (d) 11
  12. 12.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 27 (c) 26 (d) 28
  13. 13.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 19 (b) 9 (c) 16 (d) 10
  14. 14.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 21 (c) 19 (d) 20
  15. 15.What comes next? 18, 25, 19, 26, 20, 27, ? (a) 20 (b) 34 (c) 21 (d) 33
  16. 16.What comes next? 18, 26, 23, 31, 28, 36, ? (a) 44 (b) 39 (c) 32 (d) 33
  17. 17.What comes next? 18, 27, 36, 45, 54, ? (a) 62 (b) 63 (c) 64 (d) 72
  18. 18.What comes next? 47, 39, 31, 23, 15, ? (a) 8 (b) 9 (c) 6 (d) 7
  19. 19.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 36 (c) 35 (d) 33
  20. 20.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 9 (c) 1 (d) 8
  21. 21.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  22. 22.What comes next? 17, 18, 20, 23, 27, ? (a) 32 (b) 34 (c) 33 (d) 31
  23. 23.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  24. 24.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 38 (c) 36 (d) 37
  25. 25.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  26. 26.What comes next? 20, 28, 36, 44, 52, ? (a) 68 (b) 60 (c) 59 (d) 61
  27. 27.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 20 (c) 21 (d) 22
  28. 28.What comes next? 15, 26, 37, 48, 59, ? (a) 69 (b) 71 (c) 81 (d) 70
  29. 29.What comes next? 11, 16, 21, 26, 31, ? (a) 37 (b) 35 (c) 41 (d) 36
  30. 30.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 8 (c) 10 (d) 11
  31. 31.What comes next? 2, 9, 16, 23, 30, ? (a) 37 (b) 36 (c) 38 (d) 44
  32. 32.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 7 (c) 8 (d) 3
  33. 33.What comes next? 10, 22, 34, 46, 58, ? (a) 70 (b) 69 (c) 71 (d) 82
  34. 34.What comes next? 9, 17, 13, 21, 17, 25, ? (a) 33 (b) 20 (c) 29 (d) 21
  35. 35.What comes next? 16, 25, 34, 43, 52, ? (a) 70 (b) 61 (c) 60 (d) 62
  36. 36.What comes next? 7, 12, 17, 22, 27, ? (a) 31 (b) 32 (c) 37 (d) 33
  37. 37.What comes next? 5, 8, 11, 14, 17, ? (a) 19 (b) 21 (c) 20 (d) 23
  38. 38.What comes next? 38, 36, 34, 32, 30, ? (a) 27 (b) 28 (c) 29 (d) 26
  39. 39.What comes next? 8, 10, 12, 14, 16, ? (a) 19 (b) 17 (c) 18 (d) 20
  40. 40.What comes next? 59, 53, 47, 41, 35, ? (a) 28 (b) 30 (c) 23 (d) 29

Answer key

  1. 81
  2. 44
  3. 20
  4. 38
  5. 15
  6. 21
  7. 36
  8. 65
  9. 6
  10. 16
  11. 11
  12. 27
  13. 10
  14. 19
  15. 21
  16. 33
  17. 63
  18. 7
  19. 34
  20. 8
  21. 64
  22. 32
  23. 160
  24. 37
  25. 243
  26. 60
  27. 20
  28. 70
  29. 36
  30. 10
  31. 37
  32. 8
  33. 70
  34. 21
  35. 61
  36. 32
  37. 20
  38. 28
  39. 18
  40. 29

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