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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 701 · 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? 31, 25, 19, 13, 7, ? (a) 4 (b) 3 (c) 1 (d) 2
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  3. 3.What comes next? 16, 18, 20, 22, 24, ? (a) 27 (b) 26 (c) 28 (d) 25
  4. 4.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 32 (c) 34 (d) 33
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  6. 6.What comes next? 5, 14, 23, 32, 41, ? (a) 59 (b) 50 (c) 49 (d) 51
  7. 7.What comes next? 16, 24, 23, 31, 30, 38, ? (a) 46 (b) 36 (c) 37 (d) 39
  8. 8.What comes next? 49, 43, 37, 31, 25, ? (a) 20 (b) 18 (c) 19 (d) 13
  9. 9.What comes next? 9, 13, 18, 24, 31, ? (a) 41 (b) 38 (c) 40 (d) 39
  10. 10.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 7 (b) 12 (c) 8 (d) 13
  11. 11.What comes next? 4, 13, 22, 31, 40, ? (a) 49 (b) 48 (c) 50 (d) 58
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  13. 13.What comes next? 8, 16, 24, 32, 40, ? (a) 47 (b) 56 (c) 48 (d) 49
  14. 14.What comes next? 6, 12, 8, 14, 10, 16, ? (a) 20 (b) 12 (c) 22 (d) 11
  15. 15.What comes next? 17, 19, 22, 26, 31, ? (a) 39 (b) 37 (c) 36 (d) 38
  16. 16.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 20 (c) 22 (d) 23
  17. 17.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 11 (b) 16 (c) 13 (d) 10
  18. 18.What comes next? 6, 15, 24, 33, 42, ? (a) 50 (b) 60 (c) 51 (d) 52
  19. 19.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 29 (c) 31 (d) 30
  20. 20.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 27 (c) 24 (d) 26
  21. 21.What comes next? 2, 8, 7, 13, 12, 18, ? (a) 19 (b) 17 (c) 16 (d) 24
  22. 22.What comes next? 15, 19, 23, 27, 31, ? (a) 39 (b) 35 (c) 34 (d) 36
  23. 23.What comes next? 17, 24, 31, 38, 45, ? (a) 53 (b) 52 (c) 51 (d) 59
  24. 24.What comes next? 62, 53, 44, 35, 26, ? (a) 17 (b) 16 (c) 8 (d) 18
  25. 25.What comes next? 28, 32, 36, 40, 44, ? (a) 52 (b) 49 (c) 48 (d) 47
  26. 26.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  27. 27.What comes next? 4, 9, 8, 13, 12, 17, ? (a) 15 (b) 16 (c) 22 (d) 18
  28. 28.What comes next? 12, 20, 19, 27, 26, 34, ? (a) 33 (b) 32 (c) 42 (d) 35
  29. 29.What comes next? 26, 37, 48, 59, 70, ? (a) 81 (b) 80 (c) 92 (d) 82
  30. 30.What comes next? 7, 12, 10, 15, 13, 18, ? (a) 15 (b) 16 (c) 23 (d) 20
  31. 31.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  32. 32.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 28 (c) 29 (d) 30
  33. 33.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 36 (c) 37 (d) 38
  34. 34.What comes next? 4, 13, 8, 17, 12, 21, ? (a) 30 (b) 15 (c) 26 (d) 16
  35. 35.What comes next? 14, 16, 19, 23, 28, ? (a) 36 (b) 35 (c) 33 (d) 34
  36. 36.What comes next? 9, 16, 13, 20, 17, 24, ? (a) 21 (b) 31 (c) 20 (d) 27
  37. 37.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 29 (c) 30 (d) 28
  38. 38.What comes next? 18, 26, 19, 27, 20, 28, ? (a) 36 (b) 21 (c) 35 (d) 20
  39. 39.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 65 (c) 66 (d) 64
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193

Answer key

  1. 1
  2. 81
  3. 26
  4. 33
  5. 243
  6. 50
  7. 37
  8. 19
  9. 39
  10. 8
  11. 49
  12. 64
  13. 48
  14. 12
  15. 37
  16. 21
  17. 11
  18. 51
  19. 30
  20. 25
  21. 17
  22. 35
  23. 52
  24. 17
  25. 48
  26. 128
  27. 16
  28. 33
  29. 81
  30. 16
  31. 32
  32. 28
  33. 37
  34. 16
  35. 34
  36. 21
  37. 28
  38. 21
  39. 65
  40. 192

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