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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 872 · 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? 9, 14, 19, 24, 29, ? (a) 39 (b) 35 (c) 33 (d) 34
  2. 2.What comes next? 15, 22, 29, 36, 43, ? (a) 51 (b) 50 (c) 49 (d) 57
  3. 3.What comes next? 27, 39, 51, 63, 75, ? (a) 99 (b) 87 (c) 88 (d) 86
  4. 4.What comes next? 16, 24, 32, 40, 48, ? (a) 56 (b) 57 (c) 55 (d) 64
  5. 5.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 9 (c) 5 (d) 10
  6. 6.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 21 (c) 22 (d) 24
  7. 7.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 19 (b) 21 (c) 23 (d) 18
  8. 8.What comes next? 18, 22, 27, 33, 40, ? (a) 48 (b) 50 (c) 49 (d) 47
  9. 9.What comes next? 3, 8, 5, 10, 7, 12, ? (a) 17 (b) 9 (c) 15 (d) 8
  10. 10.What comes next? 17, 22, 19, 24, 21, 26, ? (a) 29 (b) 31 (c) 23 (d) 22
  11. 11.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 36 (c) 35 (d) 37
  12. 12.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 35 (c) 34 (d) 33
  13. 13.What comes next? 7, 9, 11, 13, 15, ? (a) 18 (b) 17 (c) 19 (d) 16
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  15. 15.What comes next? 31, 28, 25, 22, 19, ? (a) 15 (b) 16 (c) 17 (d) 13
  16. 16.What comes next? 15, 20, 25, 30, 35, ? (a) 40 (b) 45 (c) 41 (d) 39
  17. 17.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 36 (c) 38 (d) 37
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  19. 19.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 35 (c) 38 (d) 37
  20. 20.What comes next? 19, 16, 13, 10, 7, ? (a) 3 (b) 4 (c) 1 (d) 5
  21. 21.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 8 (b) 7 (c) 12 (d) 13
  22. 22.What comes next? 1, 8, 7, 14, 13, 20, ? (a) 18 (b) 27 (c) 19 (d) 21
  23. 23.What comes next? 10, 18, 13, 21, 16, 24, ? (a) 18 (b) 32 (c) 19 (d) 29
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  25. 25.What comes next? 6, 12, 7, 13, 8, 14, ? (a) 20 (b) 9 (c) 19 (d) 8
  26. 26.What comes next? 34, 29, 24, 19, 14, ? (a) 4 (b) 9 (c) 8 (d) 10
  27. 27.What comes next? 5, 13, 12, 20, 19, 27, ? (a) 35 (b) 25 (c) 28 (d) 26
  28. 28.What comes next? 39, 32, 25, 18, 11, ? (a) 5 (b) 4 (c) 3 (d) 6
  29. 29.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 3 (c) 5 (d) 7
  30. 30.What comes next? 1, 9, 3, 11, 5, 13, ? (a) 19 (b) 7 (c) 6 (d) 21
  31. 31.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 18 (c) 20 (d) 17
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  33. 33.What comes next? 24, 28, 32, 36, 40, ? (a) 48 (b) 44 (c) 45 (d) 43
  34. 34.What comes next? 21, 30, 39, 48, 57, ? (a) 65 (b) 67 (c) 75 (d) 66
  35. 35.What comes next? 29, 41, 53, 65, 77, ? (a) 89 (b) 101 (c) 90 (d) 88
  36. 36.What comes next? 6, 9, 12, 15, 18, ? (a) 22 (b) 20 (c) 24 (d) 21
  37. 37.What comes next? 63, 54, 45, 36, 27, ? (a) 18 (b) 17 (c) 19 (d) 9
  38. 38.What comes next? 14, 17, 21, 26, 32, ? (a) 41 (b) 39 (c) 40 (d) 38
  39. 39.What comes next? 14, 16, 18, 20, 22, ? (a) 23 (b) 24 (c) 25 (d) 26
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240

Answer key

  1. 34
  2. 50
  3. 87
  4. 56
  5. 9
  6. 22
  7. 19
  8. 48
  9. 9
  10. 23
  11. 36
  12. 33
  13. 17
  14. 81
  15. 16
  16. 40
  17. 37
  18. 96
  19. 36
  20. 4
  21. 8
  22. 19
  23. 19
  24. 162
  25. 9
  26. 9
  27. 26
  28. 4
  29. 6
  30. 7
  31. 18
  32. 64
  33. 44
  34. 66
  35. 89
  36. 21
  37. 18
  38. 39
  39. 24
  40. 192

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