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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 764 · 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? 53, 47, 41, 35, 29, ? (a) 24 (b) 22 (c) 23 (d) 17
  2. 2.What comes next? 1, 7, 6, 12, 11, 17, ? (a) 15 (b) 18 (c) 23 (d) 16
  3. 3.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 30 (c) 28 (d) 29
  4. 4.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 10 (c) 7 (d) 8
  5. 5.What comes next? 40, 36, 32, 28, 24, ? (a) 21 (b) 20 (c) 16 (d) 19
  6. 6.What comes next? 48, 41, 34, 27, 20, ? (a) 14 (b) 13 (c) 6 (d) 12
  7. 7.What comes next? 29, 36, 43, 50, 57, ? (a) 65 (b) 64 (c) 63 (d) 71
  8. 8.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 32 (c) 33 (d) 31
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  10. 10.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 28 (c) 27 (d) 29
  11. 11.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 28 (b) 27 (c) 32 (d) 35
  12. 12.What comes next? 45, 41, 37, 33, 29, ? (a) 24 (b) 21 (c) 25 (d) 26
  13. 13.What comes next? 8, 9, 11, 14, 18, ? (a) 23 (b) 24 (c) 25 (d) 22
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  15. 15.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 25 (c) 27 (d) 26
  16. 16.What comes next? 9, 16, 23, 30, 37, ? (a) 43 (b) 45 (c) 44 (d) 51
  17. 17.What comes next? 5, 13, 11, 19, 17, 25, ? (a) 22 (b) 27 (c) 33 (d) 23
  18. 18.What comes next? 3, 12, 7, 16, 11, 20, ? (a) 25 (b) 14 (c) 29 (d) 15
  19. 19.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  20. 20.What comes next? 12, 18, 24, 30, 36, ? (a) 41 (b) 42 (c) 43 (d) 48
  21. 21.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 32 (c) 28 (d) 27
  22. 22.What comes next? 14, 12, 10, 8, 6, ? (a) 5 (b) 2 (c) 3 (d) 4
  23. 23.What comes next? 29, 24, 19, 14, 9, ? (a) 3 (b) 6 (c) 4 (d) 5
  24. 24.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 193 (d) 144
  25. 25.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 120 (d) 200
  26. 26.What comes next? 15, 19, 23, 27, 31, ? (a) 35 (b) 39 (c) 34 (d) 36
  27. 27.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 8 (c) 6 (d) 7
  28. 28.What comes next? 10, 22, 34, 46, 58, ? (a) 82 (b) 71 (c) 69 (d) 70
  29. 29.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 11 (b) 15 (c) 10 (d) 13
  30. 30.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 25 (b) 24 (c) 15 (d) 16
  31. 31.What comes next? 25, 27, 29, 31, 33, ? (a) 36 (b) 35 (c) 34 (d) 37
  32. 32.What comes next? 4, 12, 7, 15, 10, 18, ? (a) 13 (b) 26 (c) 23 (d) 12
  33. 33.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  34. 34.What comes next? 28, 38, 48, 58, 68, ? (a) 78 (b) 88 (c) 79 (d) 77
  35. 35.What comes next? 29, 27, 25, 23, 21, ? (a) 18 (b) 17 (c) 20 (d) 19
  36. 36.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 29 (c) 28 (d) 27
  37. 37.What comes next? 20, 27, 21, 28, 22, 29, ? (a) 35 (b) 23 (c) 36 (d) 22
  38. 38.What comes next? 8, 16, 14, 22, 20, 28, ? (a) 26 (b) 25 (c) 36 (d) 30
  39. 39.What comes next? 13, 19, 16, 22, 19, 25, ? (a) 28 (b) 22 (c) 31 (d) 21
  40. 40.What comes next? 20, 21, 23, 26, 30, ? (a) 35 (b) 34 (c) 37 (d) 36

Answer key

  1. 23
  2. 16
  3. 29
  4. 8
  5. 20
  6. 13
  7. 64
  8. 31
  9. 243
  10. 28
  11. 28
  12. 25
  13. 23
  14. 81
  15. 26
  16. 44
  17. 23
  18. 15
  19. 96
  20. 42
  21. 27
  22. 4
  23. 4
  24. 192
  25. 160
  26. 35
  27. 7
  28. 70
  29. 11
  30. 16
  31. 35
  32. 13
  33. 162
  34. 78
  35. 19
  36. 28
  37. 23
  38. 26
  39. 22
  40. 35

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