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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 447 · 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, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  2. 2.What comes next? 7, 15, 10, 18, 13, 21, ? (a) 26 (b) 29 (c) 15 (d) 16
  3. 3.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 21 (c) 27 (d) 29
  4. 4.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 21 (b) 17 (c) 19 (d) 16
  5. 5.What comes next? 20, 29, 38, 47, 56, ? (a) 64 (b) 66 (c) 74 (d) 65
  6. 6.What comes next? 8, 14, 10, 16, 12, 18, ? (a) 22 (b) 24 (c) 13 (d) 14
  7. 7.What comes next? 12, 22, 32, 42, 52, ? (a) 61 (b) 72 (c) 63 (d) 62
  8. 8.What comes next? 25, 21, 17, 13, 9, ? (a) 4 (b) 5 (c) 1 (d) 6
  9. 9.What comes next? 11, 16, 12, 17, 13, 18, ? (a) 14 (b) 13 (c) 22 (d) 23
  10. 10.What comes next? 21, 18, 15, 12, 9, ? (a) 3 (b) 7 (c) 5 (d) 6
  11. 11.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 16 (b) 24 (c) 20 (d) 15
  12. 12.What comes next? 39, 35, 31, 27, 23, ? (a) 20 (b) 15 (c) 19 (d) 18
  13. 13.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 18 (b) 12 (c) 19 (d) 11
  14. 14.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 38 (d) 40
  15. 15.What comes next? 53, 48, 43, 38, 33, ? (a) 27 (b) 23 (c) 29 (d) 28
  16. 16.What comes next? 2, 9, 7, 14, 12, 19, ? (a) 26 (b) 16 (c) 17 (d) 21
  17. 17.What comes next? 2, 4, 6, 8, 10, ? (a) 12 (b) 11 (c) 13 (d) 14
  18. 18.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 44 (c) 42 (d) 43
  19. 19.What comes next? 51, 45, 39, 33, 27, ? (a) 21 (b) 20 (c) 15 (d) 22
  20. 20.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 32 (c) 30 (d) 31
  21. 21.What comes next? 4, 10, 6, 12, 8, 14, ? (a) 9 (b) 18 (c) 10 (d) 20
  22. 22.What comes next? 26, 37, 48, 59, 70, ? (a) 92 (b) 80 (c) 81 (d) 82
  23. 23.What comes next? 17, 26, 25, 34, 33, 42, ? (a) 41 (b) 40 (c) 51 (d) 43
  24. 24.What comes next? 39, 32, 25, 18, 11, ? (a) 4 (b) 3 (c) 6 (d) 5
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  26. 26.What comes next? 13, 20, 19, 26, 25, 32, ? (a) 31 (b) 33 (c) 30 (d) 39
  27. 27.What comes next? 1, 6, 2, 7, 3, 8, ? (a) 4 (b) 12 (c) 3 (d) 13
  28. 28.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  29. 29.What comes next? 17, 23, 21, 27, 25, 31, ? (a) 37 (b) 33 (c) 29 (d) 28
  30. 30.What comes next? 1, 10, 5, 14, 9, 18, ? (a) 13 (b) 27 (c) 23 (d) 12
  31. 31.What comes next? 14, 18, 22, 26, 30, ? (a) 38 (b) 33 (c) 35 (d) 34
  32. 32.What comes next? 16, 28, 40, 52, 64, ? (a) 75 (b) 77 (c) 88 (d) 76
  33. 33.What comes next? 42, 39, 36, 33, 30, ? (a) 28 (b) 27 (c) 24 (d) 26
  34. 34.What comes next? 18, 27, 36, 45, 54, ? (a) 62 (b) 72 (c) 64 (d) 63
  35. 35.What comes next? 32, 27, 22, 17, 12, ? (a) 7 (b) 2 (c) 6 (d) 8
  36. 36.What comes next? 16, 21, 18, 23, 20, 25, ? (a) 21 (b) 28 (c) 22 (d) 30
  37. 37.What comes next? 6, 10, 14, 18, 22, ? (a) 26 (b) 27 (c) 25 (d) 30
  38. 38.What comes next? 13, 19, 14, 20, 15, 21, ? (a) 26 (b) 27 (c) 16 (d) 15
  39. 39.What comes next? 4, 10, 16, 22, 28, ? (a) 34 (b) 40 (c) 35 (d) 33
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192

Answer key

  1. 64
  2. 16
  3. 28
  4. 17
  5. 65
  6. 14
  7. 62
  8. 5
  9. 14
  10. 6
  11. 16
  12. 19
  13. 12
  14. 38
  15. 28
  16. 17
  17. 12
  18. 43
  19. 21
  20. 30
  21. 10
  22. 81
  23. 41
  24. 4
  25. 128
  26. 31
  27. 4
  28. 243
  29. 29
  30. 13
  31. 34
  32. 76
  33. 27
  34. 63
  35. 7
  36. 22
  37. 26
  38. 16
  39. 34
  40. 192

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