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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 715 · 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? 33, 28, 23, 18, 13, ? (a) 3 (b) 9 (c) 8 (d) 7
  2. 2.What comes next? 24, 31, 38, 45, 52, ? (a) 66 (b) 58 (c) 59 (d) 60
  3. 3.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 37 (c) 38 (d) 39
  4. 4.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 8 (b) 7 (c) 20 (d) 18
  5. 5.What comes next? 23, 26, 29, 32, 35, ? (a) 41 (b) 37 (c) 39 (d) 38
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  7. 7.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 2 (c) 1 (d) 4
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  9. 9.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  10. 10.What comes next? 19, 27, 26, 34, 33, 41, ? (a) 42 (b) 49 (c) 39 (d) 40
  11. 11.What comes next? 53, 48, 43, 38, 33, ? (a) 27 (b) 28 (c) 29 (d) 23
  12. 12.What comes next? 13, 16, 19, 22, 25, ? (a) 29 (b) 27 (c) 28 (d) 31
  13. 13.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  14. 14.What comes next? 4, 9, 6, 11, 8, 13, ? (a) 9 (b) 10 (c) 18 (d) 16
  15. 15.What comes next? 31, 29, 27, 25, 23, ? (a) 22 (b) 19 (c) 20 (d) 21
  16. 16.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 31 (c) 29 (d) 32
  17. 17.What comes next? 60, 52, 44, 36, 28, ? (a) 19 (b) 12 (c) 21 (d) 20
  18. 18.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 10 (b) 5 (c) 4 (d) 9
  19. 19.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 3 (c) 6 (d) 5
  20. 20.What comes next? 4, 12, 11, 19, 18, 26, ? (a) 27 (b) 24 (c) 34 (d) 25
  21. 21.What comes next? 19, 23, 28, 34, 41, ? (a) 50 (b) 49 (c) 48 (d) 51
  22. 22.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 26 (c) 28 (d) 25
  23. 23.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 18 (c) 16 (d) 17
  24. 24.What comes next? 12, 20, 18, 26, 24, 32, ? (a) 34 (b) 40 (c) 29 (d) 30
  25. 25.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 33 (c) 34 (d) 35
  26. 26.What comes next? 28, 33, 38, 43, 48, ? (a) 52 (b) 54 (c) 58 (d) 53
  27. 27.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 7 (c) 6 (d) 4
  28. 28.What comes next? 6, 12, 18, 24, 30, ? (a) 36 (b) 37 (c) 42 (d) 35
  29. 29.What comes next? 13, 15, 18, 22, 27, ? (a) 35 (b) 34 (c) 32 (d) 33
  30. 30.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 18 (d) 17
  31. 31.What comes next? 63, 54, 45, 36, 27, ? (a) 18 (b) 19 (c) 17 (d) 9
  32. 32.What comes next? 24, 36, 48, 60, 72, ? (a) 85 (b) 96 (c) 84 (d) 83
  33. 33.What comes next? 3, 6, 9, 12, 15, ? (a) 18 (b) 19 (c) 17 (d) 21
  34. 34.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 4 (c) 3 (d) 2
  35. 35.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  36. 36.What comes next? 16, 21, 18, 23, 20, 25, ? (a) 28 (b) 30 (c) 21 (d) 22
  37. 37.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  38. 38.What comes next? 3, 7, 11, 15, 19, ? (a) 22 (b) 23 (c) 27 (d) 24
  39. 39.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 48 (d) 65
  40. 40.What comes next? 25, 22, 19, 16, 13, ? (a) 9 (b) 11 (c) 10 (d) 7

Answer key

  1. 8
  2. 59
  3. 38
  4. 8
  5. 38
  6. 162
  7. 1
  8. 243
  9. 192
  10. 40
  11. 28
  12. 28
  13. 128
  14. 10
  15. 21
  16. 30
  17. 20
  18. 5
  19. 4
  20. 25
  21. 49
  22. 26
  23. 16
  24. 30
  25. 33
  26. 53
  27. 6
  28. 36
  29. 33
  30. 18
  31. 18
  32. 84
  33. 18
  34. 3
  35. 96
  36. 22
  37. 81
  38. 23
  39. 64
  40. 10

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