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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 928 · 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? 54, 46, 38, 30, 22, ? (a) 15 (b) 13 (c) 14 (d) 6
  2. 2.What comes next? 4, 8, 12, 16, 20, ? (a) 25 (b) 28 (c) 23 (d) 24
  3. 3.What comes next? 8, 9, 11, 14, 18, ? (a) 23 (b) 25 (c) 24 (d) 22
  4. 4.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22
  5. 5.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 11 (b) 6 (c) 7 (d) 13
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  7. 7.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 16 (c) 14 (d) 13
  8. 8.What comes next? 36, 31, 26, 21, 16, ? (a) 6 (b) 12 (c) 11 (d) 10
  9. 9.What comes next? 13, 24, 35, 46, 57, ? (a) 67 (b) 68 (c) 69 (d) 79
  10. 10.What comes next? 8, 17, 15, 24, 22, 31, ? (a) 33 (b) 40 (c) 29 (d) 28
  11. 11.What comes next? 47, 40, 33, 26, 19, ? (a) 11 (b) 5 (c) 13 (d) 12
  12. 12.What comes next? 13, 17, 14, 18, 15, 19, ? (a) 15 (b) 22 (c) 16 (d) 23
  13. 13.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 46 (c) 49 (d) 45
  14. 14.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 3 (c) 7 (d) 6
  15. 15.What comes next? 62, 54, 46, 38, 30, ? (a) 14 (b) 23 (c) 21 (d) 22
  16. 16.What comes next? 52, 43, 34, 25, 16, ? (a) 8 (b) 6 (c) 7 (d) 9
  17. 17.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 35 (c) 34 (d) 37
  18. 18.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 12 (b) 18 (c) 16 (d) 11
  19. 19.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 19 (b) 34 (c) 35 (d) 20
  20. 20.What comes next? 68, 60, 52, 44, 36, ? (a) 28 (b) 29 (c) 27 (d) 20
  21. 21.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  22. 22.What comes next? 6, 14, 22, 30, 38, ? (a) 54 (b) 46 (c) 45 (d) 47
  23. 23.What comes next? 33, 28, 23, 18, 13, ? (a) 8 (b) 3 (c) 9 (d) 7
  24. 24.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 21 (c) 23 (d) 22
  25. 25.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  26. 26.What comes next? 13, 15, 17, 19, 21, ? (a) 25 (b) 22 (c) 24 (d) 23
  27. 27.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 28 (c) 29 (d) 27
  28. 28.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 41 (c) 43 (d) 42
  29. 29.What comes next? 19, 26, 21, 28, 23, 30, ? (a) 35 (b) 24 (c) 25 (d) 37
  30. 30.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 27 (c) 25 (d) 28
  31. 31.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 32 (c) 33 (d) 31
  32. 32.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 36 (c) 37 (d) 35
  33. 33.What comes next? 2, 11, 10, 19, 18, 27, ? (a) 26 (b) 28 (c) 25 (d) 36
  34. 34.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 37 (c) 39 (d) 36
  35. 35.What comes next? 44, 40, 36, 32, 28, ? (a) 23 (b) 24 (c) 25 (d) 20
  36. 36.What comes next? 30, 27, 24, 21, 18, ? (a) 16 (b) 15 (c) 12 (d) 14
  37. 37.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  38. 38.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 34 (c) 33 (d) 32
  39. 39.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 58 (c) 57 (d) 65
  40. 40.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 32 (c) 33 (d) 31

Answer key

  1. 14
  2. 24
  3. 23
  4. 20
  5. 7
  6. 243
  7. 14
  8. 11
  9. 68
  10. 29
  11. 12
  12. 16
  13. 45
  14. 7
  15. 22
  16. 7
  17. 35
  18. 12
  19. 20
  20. 28
  21. 192
  22. 46
  23. 8
  24. 22
  25. 32
  26. 23
  27. 28
  28. 41
  29. 25
  30. 26
  31. 32
  32. 36
  33. 26
  34. 37
  35. 24
  36. 15
  37. 81
  38. 32
  39. 57
  40. 31

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