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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 864 · 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? 24, 26, 28, 30, 32, ? (a) 33 (b) 34 (c) 36 (d) 35
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  3. 3.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 15 (b) 18 (c) 16 (d) 21
  4. 4.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 3 (c) 5 (d) 4
  5. 5.What comes next? 30, 41, 52, 63, 74, ? (a) 96 (b) 86 (c) 85 (d) 84
  6. 6.What comes next? 18, 27, 36, 45, 54, ? (a) 62 (b) 72 (c) 64 (d) 63
  7. 7.What comes next? 10, 17, 14, 21, 18, 25, ? (a) 28 (b) 21 (c) 22 (d) 32
  8. 8.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 38 (c) 37 (d) 36
  9. 9.What comes next? 9, 19, 29, 39, 49, ? (a) 59 (b) 60 (c) 58 (d) 69
  10. 10.What comes next? 19, 24, 22, 27, 25, 30, ? (a) 27 (b) 32 (c) 35 (d) 28
  11. 11.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 6 (c) 9 (d) 10
  12. 12.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 17 (c) 18 (d) 19
  13. 13.What comes next? 8, 19, 30, 41, 52, ? (a) 64 (b) 63 (c) 62 (d) 74
  14. 14.What comes next? 10, 15, 12, 17, 14, 19, ? (a) 16 (b) 22 (c) 24 (d) 15
  15. 15.What comes next? 18, 20, 23, 27, 32, ? (a) 39 (b) 40 (c) 37 (d) 38
  16. 16.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  17. 17.What comes next? 20, 29, 26, 35, 32, 41, ? (a) 50 (b) 37 (c) 44 (d) 38
  18. 18.What comes next? 11, 19, 27, 35, 43, ? (a) 52 (b) 59 (c) 50 (d) 51
  19. 19.What comes next? 2, 6, 10, 14, 18, ? (a) 21 (b) 26 (c) 23 (d) 22
  20. 20.What comes next? 8, 15, 14, 21, 20, 27, ? (a) 28 (b) 26 (c) 34 (d) 25
  21. 21.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  22. 22.What comes next? 17, 14, 11, 8, 5, ? (a) 4 (b) 3 (c) 2 (d) 1
  23. 23.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 19 (c) 21 (d) 18
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  25. 25.What comes next? 5, 13, 7, 15, 9, 17, ? (a) 23 (b) 11 (c) 25 (d) 10
  26. 26.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 32 (c) 34 (d) 35
  27. 27.What comes next? 65, 58, 51, 44, 37, ? (a) 29 (b) 30 (c) 23 (d) 31
  28. 28.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  29. 29.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  30. 30.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 26 (c) 27 (d) 25
  31. 31.What comes next? 25, 28, 31, 34, 37, ? (a) 40 (b) 43 (c) 39 (d) 41
  32. 32.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 24 (b) 29 (c) 27 (d) 25
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  34. 34.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22
  35. 35.What comes next? 22, 32, 42, 52, 62, ? (a) 71 (b) 72 (c) 73 (d) 82
  36. 36.What comes next? 14, 16, 19, 23, 28, ? (a) 34 (b) 36 (c) 33 (d) 35
  37. 37.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 35 (b) 30 (c) 26 (d) 25
  38. 38.What comes next? 34, 28, 22, 16, 10, ? (a) 3 (b) 6 (c) 5 (d) 4
  39. 39.What comes next? 19, 27, 24, 32, 29, 37, ? (a) 33 (b) 40 (c) 45 (d) 34
  40. 40.What comes next? 23, 27, 31, 35, 39, ? (a) 42 (b) 43 (c) 44 (d) 47

Answer key

  1. 34
  2. 32
  3. 16
  4. 4
  5. 85
  6. 63
  7. 22
  8. 36
  9. 59
  10. 28
  11. 9
  12. 18
  13. 63
  14. 16
  15. 38
  16. 243
  17. 38
  18. 51
  19. 22
  20. 26
  21. 96
  22. 2
  23. 19
  24. 162
  25. 11
  26. 33
  27. 30
  28. 128
  29. 192
  30. 25
  31. 40
  32. 25
  33. 81
  34. 20
  35. 72
  36. 34
  37. 26
  38. 4
  39. 34
  40. 43

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