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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 224 · 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? 18, 27, 20, 29, 22, 31, ? (a) 40 (b) 23 (c) 24 (d) 38
  2. 2.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 10 (c) 1 (d) 9
  3. 3.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 24 (c) 23 (d) 22
  4. 4.What comes next? 9, 11, 14, 18, 23, ? (a) 29 (b) 28 (c) 30 (d) 31
  5. 5.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 21 (b) 18 (c) 25 (d) 19
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  7. 7.What comes next? 13, 25, 37, 49, 61, ? (a) 72 (b) 73 (c) 74 (d) 85
  8. 8.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 5 (c) 3 (d) 2
  9. 9.What comes next? 9, 17, 10, 18, 11, 19, ? (a) 11 (b) 27 (c) 26 (d) 12
  10. 10.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  11. 11.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 28 (c) 25 (d) 26
  12. 12.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 24 (c) 25 (d) 23
  13. 13.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 8 (b) 15 (c) 13 (d) 9
  14. 14.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 39 (c) 42 (d) 40
  15. 15.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 20 (c) 22 (d) 19
  16. 16.What comes next? 3, 6, 9, 12, 15, ? (a) 19 (b) 17 (c) 18 (d) 21
  17. 17.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 32 (d) 31
  18. 18.What comes next? 57, 50, 43, 36, 29, ? (a) 23 (b) 15 (c) 21 (d) 22
  19. 19.What comes next? 4, 11, 18, 25, 32, ? (a) 46 (b) 40 (c) 38 (d) 39
  20. 20.What comes next? 21, 27, 33, 39, 45, ? (a) 51 (b) 52 (c) 50 (d) 57
  21. 21.What comes next? 72, 63, 54, 45, 36, ? (a) 27 (b) 28 (c) 18 (d) 26
  22. 22.What comes next? 20, 29, 27, 36, 34, 43, ? (a) 45 (b) 40 (c) 41 (d) 52
  23. 23.What comes next? 5, 7, 9, 11, 13, ? (a) 17 (b) 14 (c) 15 (d) 16
  24. 24.What comes next? 47, 38, 29, 20, 11, ? (a) 4 (b) 2 (c) 1 (d) 3
  25. 25.What comes next? 67, 59, 51, 43, 35, ? (a) 19 (b) 28 (c) 27 (d) 26
  26. 26.What comes next? 10, 17, 13, 20, 16, 23, ? (a) 19 (b) 18 (c) 30 (d) 27
  27. 27.What comes next? 28, 25, 22, 19, 16, ? (a) 12 (b) 10 (c) 14 (d) 13
  28. 28.What comes next? 61, 54, 47, 40, 33, ? (a) 19 (b) 27 (c) 26 (d) 25
  29. 29.What comes next? 20, 26, 25, 31, 30, 36, ? (a) 42 (b) 35 (c) 37 (d) 34
  30. 30.What comes next? 15, 17, 19, 21, 23, ? (a) 27 (b) 26 (c) 25 (d) 24
  31. 31.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 39 (c) 40 (d) 38
  32. 32.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 20 (c) 19 (d) 22
  33. 33.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  34. 34.What comes next? 4, 6, 8, 10, 12, ? (a) 13 (b) 14 (c) 16 (d) 15
  35. 35.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 37 (c) 40 (d) 39
  36. 36.What comes next? 49, 43, 37, 31, 25, ? (a) 13 (b) 20 (c) 18 (d) 19
  37. 37.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 26 (c) 27 (d) 28
  38. 38.What comes next? 16, 23, 22, 29, 28, 35, ? (a) 42 (b) 34 (c) 33 (d) 36
  39. 39.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 32 (c) 35 (d) 33
  40. 40.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 11 (c) 13 (d) 12

Answer key

  1. 24
  2. 9
  3. 23
  4. 29
  5. 19
  6. 81
  7. 73
  8. 3
  9. 12
  10. 128
  11. 26
  12. 24
  13. 9
  14. 40
  15. 20
  16. 18
  17. 32
  18. 22
  19. 39
  20. 51
  21. 27
  22. 41
  23. 15
  24. 2
  25. 27
  26. 19
  27. 13
  28. 26
  29. 35
  30. 25
  31. 38
  32. 20
  33. 243
  34. 14
  35. 38
  36. 19
  37. 26
  38. 34
  39. 33
  40. 12

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