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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 876 · 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? 5, 9, 14, 20, 27, ? (a) 36 (b) 34 (c) 35 (d) 37
  2. 2.What comes next? 4, 10, 7, 13, 10, 16, ? (a) 19 (b) 22 (c) 12 (d) 13
  3. 3.What comes next? 33, 28, 23, 18, 13, ? (a) 3 (b) 9 (c) 8 (d) 7
  4. 4.What comes next? 18, 22, 21, 25, 24, 28, ? (a) 27 (b) 29 (c) 26 (d) 32
  5. 5.What comes next? 12, 24, 36, 48, 60, ? (a) 71 (b) 72 (c) 84 (d) 73
  6. 6.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 5 (c) 4 (d) 6
  7. 7.What comes next? 11, 19, 14, 22, 17, 25, ? (a) 19 (b) 33 (c) 30 (d) 20
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  9. 9.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 15 (b) 14 (c) 17 (d) 21
  10. 10.What comes next? 11, 16, 12, 17, 13, 18, ? (a) 13 (b) 22 (c) 23 (d) 14
  11. 11.What comes next? 13, 17, 15, 19, 17, 21, ? (a) 18 (b) 19 (c) 25 (d) 23
  12. 12.What comes next? 12, 15, 18, 21, 24, ? (a) 30 (b) 27 (c) 28 (d) 26
  13. 13.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 4 (c) 3 (d) 6
  14. 14.What comes next? 32, 30, 28, 26, 24, ? (a) 23 (b) 21 (c) 22 (d) 20
  15. 15.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 47 (c) 46 (d) 44
  16. 16.What comes next? 7, 9, 12, 16, 21, ? (a) 27 (b) 29 (c) 26 (d) 28
  17. 17.What comes next? 48, 42, 36, 30, 24, ? (a) 17 (b) 19 (c) 18 (d) 12
  18. 18.What comes next? 5, 8, 12, 17, 23, ? (a) 30 (b) 31 (c) 29 (d) 32
  19. 19.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 32 (c) 33 (d) 35
  20. 20.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 39 (c) 36 (d) 37
  21. 21.What comes next? 17, 20, 23, 26, 29, ? (a) 33 (b) 35 (c) 31 (d) 32
  22. 22.What comes next? 26, 37, 48, 59, 70, ? (a) 82 (b) 92 (c) 80 (d) 81
  23. 23.What comes next? 34, 28, 22, 16, 10, ? (a) 4 (b) 5 (c) 6 (d) 3
  24. 24.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 26 (c) 24 (d) 25
  25. 25.What comes next? 4, 13, 11, 20, 18, 27, ? (a) 36 (b) 29 (c) 24 (d) 25
  26. 26.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  27. 27.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 50 (c) 48 (d) 49
  28. 28.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 10 (c) 11 (d) 8
  29. 29.What comes next? 71, 62, 53, 44, 35, ? (a) 26 (b) 25 (c) 17 (d) 27
  30. 30.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  31. 31.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 19 (b) 22 (c) 14 (d) 15
  32. 32.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  33. 33.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 35 (c) 33 (d) 34
  34. 34.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 13 (c) 9 (d) 14
  35. 35.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  36. 36.What comes next? 11, 9, 7, 5, 3, ? (a) 4 (b) 3 (c) 1 (d) 2
  37. 37.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 28 (c) 25 (d) 27
  38. 38.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 10 (b) 16 (c) 15 (d) 11
  39. 39.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 22 (b) 27 (c) 26 (d) 21
  40. 40.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 17 (d) 18

Answer key

  1. 35
  2. 13
  3. 8
  4. 27
  5. 72
  6. 4
  7. 20
  8. 243
  9. 15
  10. 14
  11. 19
  12. 27
  13. 4
  14. 22
  15. 45
  16. 27
  17. 18
  18. 30
  19. 33
  20. 37
  21. 32
  22. 81
  23. 4
  24. 25
  25. 25
  26. 160
  27. 49
  28. 11
  29. 26
  30. 192
  31. 15
  32. 32
  33. 34
  34. 14
  35. 81
  36. 1
  37. 26
  38. 11
  39. 22
  40. 17

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