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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 206 · 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? 19, 25, 21, 27, 23, 29, ? (a) 33 (b) 35 (c) 25 (d) 24
  2. 2.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 25 (c) 26 (d) 28
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  4. 4.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 35 (c) 36 (d) 34
  5. 5.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 19 (c) 21 (d) 22
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  7. 7.What comes next? 16, 24, 18, 26, 20, 28, ? (a) 36 (b) 21 (c) 34 (d) 22
  8. 8.What comes next? 10, 19, 28, 37, 46, ? (a) 55 (b) 54 (c) 64 (d) 56
  9. 9.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 18 (b) 21 (c) 19 (d) 23
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  11. 11.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 28 (d) 31
  12. 12.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 96 (c) 120 (d) 72
  13. 13.What comes next? 10, 19, 11, 20, 12, 21, ? (a) 13 (b) 12 (c) 29 (d) 30
  14. 14.What comes next? 22, 19, 16, 13, 10, ? (a) 7 (b) 8 (c) 4 (d) 6
  15. 15.What comes next? 31, 27, 23, 19, 15, ? (a) 10 (b) 7 (c) 12 (d) 11
  16. 16.What comes next? 14, 26, 38, 50, 62, ? (a) 75 (b) 86 (c) 73 (d) 74
  17. 17.What comes next? 15, 19, 24, 30, 37, ? (a) 45 (b) 46 (c) 47 (d) 44
  18. 18.What comes next? 37, 30, 23, 16, 9, ? (a) 3 (b) 4 (c) 1 (d) 2
  19. 19.What comes next? 51, 43, 35, 27, 19, ? (a) 12 (b) 3 (c) 10 (d) 11
  20. 20.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 8 (c) 12 (d) 13
  21. 21.What comes next? 62, 53, 44, 35, 26, ? (a) 16 (b) 8 (c) 17 (d) 18
  22. 22.What comes next? 5, 13, 8, 16, 11, 19, ? (a) 13 (b) 24 (c) 27 (d) 14
  23. 23.What comes next? 2, 9, 5, 12, 8, 15, ? (a) 10 (b) 22 (c) 11 (d) 19
  24. 24.What comes next? 22, 28, 34, 40, 46, ? (a) 53 (b) 52 (c) 51 (d) 58
  25. 25.What comes next? 20, 24, 28, 32, 36, ? (a) 40 (b) 39 (c) 41 (d) 44
  26. 26.What comes next? 43, 39, 35, 31, 27, ? (a) 22 (b) 24 (c) 19 (d) 23
  27. 27.What comes next? 1, 7, 6, 12, 11, 17, ? (a) 18 (b) 15 (c) 23 (d) 16
  28. 28.What comes next? 3, 7, 11, 15, 19, ? (a) 27 (b) 24 (c) 23 (d) 22
  29. 29.What comes next? 38, 36, 34, 32, 30, ? (a) 26 (b) 29 (c) 27 (d) 28
  30. 30.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 135 (d) 270
  31. 31.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 30 (c) 33 (d) 31
  32. 32.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 27 (c) 28 (d) 29
  33. 33.What comes next? 24, 22, 20, 18, 16, ? (a) 12 (b) 15 (c) 13 (d) 14
  34. 34.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 15 (c) 14 (d) 16
  35. 35.What comes next? 17, 21, 25, 29, 33, ? (a) 38 (b) 37 (c) 36 (d) 41
  36. 36.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 25 (b) 28 (c) 26 (d) 30
  37. 37.What comes next? 10, 18, 11, 19, 12, 20, ? (a) 27 (b) 28 (c) 13 (d) 12
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 161 (d) 200
  39. 39.What comes next? 7, 13, 10, 16, 13, 19, ? (a) 15 (b) 25 (c) 22 (d) 16
  40. 40.What comes next? 3, 8, 13, 18, 23, ? (a) 27 (b) 33 (c) 28 (d) 29

Answer key

  1. 25
  2. 26
  3. 81
  4. 35
  5. 20
  6. 64
  7. 22
  8. 55
  9. 19
  10. 32
  11. 29
  12. 96
  13. 13
  14. 7
  15. 11
  16. 74
  17. 45
  18. 2
  19. 11
  20. 12
  21. 17
  22. 14
  23. 11
  24. 52
  25. 40
  26. 23
  27. 16
  28. 23
  29. 28
  30. 243
  31. 31
  32. 27
  33. 14
  34. 15
  35. 37
  36. 26
  37. 13
  38. 160
  39. 16
  40. 28

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