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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 780 · 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? 41, 34, 27, 20, 13, ? (a) 5 (b) 8 (c) 7 (d) 6
  2. 2.What comes next? 14, 17, 20, 23, 26, ? (a) 30 (b) 29 (c) 32 (d) 28
  3. 3.What comes next? 11, 18, 17, 24, 23, 30, ? (a) 37 (b) 28 (c) 31 (d) 29
  4. 4.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 20 (b) 17 (c) 15 (d) 14
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  6. 6.What comes next? 60, 54, 48, 42, 36, ? (a) 24 (b) 30 (c) 29 (d) 31
  7. 7.What comes next? 7, 13, 11, 17, 15, 21, ? (a) 18 (b) 27 (c) 19 (d) 23
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  9. 9.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 15 (b) 12 (c) 17 (d) 13
  10. 10.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 34 (c) 36 (d) 35
  11. 11.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 47 (c) 46 (d) 48
  12. 12.What comes next? 5, 10, 8, 13, 11, 16, ? (a) 13 (b) 18 (c) 14 (d) 21
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  14. 14.What comes next? 30, 34, 38, 42, 46, ? (a) 50 (b) 51 (c) 54 (d) 49
  15. 15.What comes next? 18, 25, 22, 29, 26, 33, ? (a) 30 (b) 36 (c) 29 (d) 40
  16. 16.What comes next? 56, 49, 42, 35, 28, ? (a) 20 (b) 14 (c) 22 (d) 21
  17. 17.What comes next? 14, 19, 24, 29, 34, ? (a) 40 (b) 38 (c) 39 (d) 44
  18. 18.What comes next? 53, 47, 41, 35, 29, ? (a) 24 (b) 23 (c) 22 (d) 17
  19. 19.What comes next? 42, 35, 28, 21, 14, ? (a) 6 (b) 9 (c) 7 (d) 8
  20. 20.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 21 (b) 22 (c) 15 (d) 14
  21. 21.What comes next? 10, 19, 13, 22, 16, 25, ? (a) 18 (b) 19 (c) 31 (d) 34
  22. 22.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 65 (c) 64 (d) 75
  23. 23.What comes next? 16, 25, 18, 27, 20, 29, ? (a) 21 (b) 38 (c) 36 (d) 22
  24. 24.What comes next? 10, 18, 26, 34, 42, ? (a) 58 (b) 49 (c) 51 (d) 50
  25. 25.What comes next? 3, 7, 12, 18, 25, ? (a) 33 (b) 34 (c) 35 (d) 32
  26. 26.What comes next? 23, 20, 17, 14, 11, ? (a) 9 (b) 5 (c) 7 (d) 8
  27. 27.What comes next? 12, 20, 15, 23, 18, 26, ? (a) 34 (b) 31 (c) 20 (d) 21
  28. 28.What comes next? 24, 36, 48, 60, 72, ? (a) 85 (b) 96 (c) 83 (d) 84
  29. 29.What comes next? 11, 17, 15, 21, 19, 25, ? (a) 31 (b) 23 (c) 27 (d) 22
  30. 30.What comes next? 19, 27, 20, 28, 21, 29, ? (a) 36 (b) 37 (c) 21 (d) 22
  31. 31.What comes next? 39, 35, 31, 27, 23, ? (a) 19 (b) 18 (c) 15 (d) 20
  32. 32.What comes next? 20, 32, 44, 56, 68, ? (a) 79 (b) 80 (c) 81 (d) 92
  33. 33.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 10 (b) 14 (c) 12 (d) 9
  34. 34.What comes next? 25, 28, 31, 34, 37, ? (a) 41 (b) 40 (c) 39 (d) 43
  35. 35.What comes next? 35, 29, 23, 17, 11, ? (a) 5 (b) 4 (c) 7 (d) 6
  36. 36.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 29 (c) 31 (d) 30
  37. 37.What comes next? 70, 62, 54, 46, 38, ? (a) 29 (b) 31 (c) 22 (d) 30
  38. 38.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 14 (b) 13 (c) 5 (d) 4
  39. 39.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  40. 40.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 3 (c) 7 (d) 5

Answer key

  1. 6
  2. 29
  3. 29
  4. 15
  5. 243
  6. 30
  7. 19
  8. 192
  9. 13
  10. 34
  11. 46
  12. 14
  13. 81
  14. 50
  15. 30
  16. 21
  17. 39
  18. 23
  19. 7
  20. 15
  21. 19
  22. 64
  23. 22
  24. 50
  25. 33
  26. 8
  27. 21
  28. 84
  29. 23
  30. 22
  31. 19
  32. 80
  33. 10
  34. 40
  35. 5
  36. 29
  37. 30
  38. 5
  39. 32
  40. 6

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