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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 559 · 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? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  2. 2.What comes next? 15, 21, 27, 33, 39, ? (a) 44 (b) 51 (c) 45 (d) 46
  3. 3.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 23 (c) 22 (d) 19
  4. 4.What comes next? 65, 56, 47, 38, 29, ? (a) 19 (b) 11 (c) 20 (d) 21
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 97 (d) 120
  6. 6.What comes next? 13, 21, 14, 22, 15, 23, ? (a) 31 (b) 16 (c) 30 (d) 15
  7. 7.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 11 (b) 17 (c) 12 (d) 14
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  9. 9.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 9 (c) 14 (d) 13
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 200 (d) 161
  11. 11.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 34 (c) 35 (d) 36
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  13. 13.What comes next? 56, 50, 44, 38, 32, ? (a) 20 (b) 27 (c) 26 (d) 25
  14. 14.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 32 (c) 33 (d) 35
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  16. 16.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 1 (c) 5 (d) 7
  17. 17.What comes next? 18, 24, 22, 28, 26, 32, ? (a) 34 (b) 38 (c) 29 (d) 30
  18. 18.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 4 (c) 6 (d) 7
  19. 19.What comes next? 18, 20, 23, 27, 32, ? (a) 39 (b) 37 (c) 40 (d) 38
  20. 20.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  21. 21.What comes next? 8, 20, 32, 44, 56, ? (a) 67 (b) 68 (c) 80 (d) 69
  22. 22.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  23. 23.What comes next? 17, 15, 13, 11, 9, ? (a) 7 (b) 5 (c) 6 (d) 8
  24. 24.What comes next? 15, 19, 23, 27, 31, ? (a) 39 (b) 36 (c) 35 (d) 34
  25. 25.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 12 (c) 11 (d) 8
  26. 26.What comes next? 5, 12, 7, 14, 9, 16, ? (a) 11 (b) 10 (c) 23 (d) 21
  27. 27.What comes next? 3, 12, 21, 30, 39, ? (a) 48 (b) 57 (c) 47 (d) 49
  28. 28.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 30 (c) 28 (d) 31
  29. 29.What comes next? 6, 14, 22, 30, 38, ? (a) 45 (b) 54 (c) 47 (d) 46
  30. 30.What comes next? 45, 42, 39, 36, 33, ? (a) 30 (b) 29 (c) 31 (d) 27
  31. 31.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 31 (c) 29 (d) 30
  32. 32.What comes next? 12, 24, 36, 48, 60, ? (a) 72 (b) 84 (c) 71 (d) 73
  33. 33.What comes next? 28, 36, 44, 52, 60, ? (a) 68 (b) 67 (c) 69 (d) 76
  34. 34.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 29 (c) 32 (d) 30
  35. 35.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 32 (c) 34 (d) 35
  36. 36.What comes next? 28, 26, 24, 22, 20, ? (a) 18 (b) 19 (c) 16 (d) 17
  37. 37.What comes next? 6, 15, 24, 33, 42, ? (a) 50 (b) 52 (c) 51 (d) 60
  38. 38.What comes next? 16, 21, 18, 23, 20, 25, ? (a) 30 (b) 22 (c) 21 (d) 28
  39. 39.What comes next? 2, 10, 18, 26, 34, ? (a) 43 (b) 42 (c) 41 (d) 50
  40. 40.What comes next? 9, 20, 31, 42, 53, ? (a) 75 (b) 63 (c) 64 (d) 65

Answer key

  1. 162
  2. 45
  3. 22
  4. 20
  5. 96
  6. 16
  7. 12
  8. 192
  9. 14
  10. 160
  11. 35
  12. 243
  13. 26
  14. 33
  15. 81
  16. 6
  17. 30
  18. 6
  19. 38
  20. 128
  21. 68
  22. 32
  23. 7
  24. 35
  25. 12
  26. 11
  27. 48
  28. 29
  29. 46
  30. 30
  31. 30
  32. 72
  33. 68
  34. 30
  35. 33
  36. 18
  37. 51
  38. 22
  39. 42
  40. 64

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