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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 249 · 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, 6, 11, 17, 24, ? (a) 34 (b) 31 (c) 32 (d) 33
  2. 2.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 34 (c) 33 (d) 35
  3. 3.What comes next? 22, 18, 14, 10, 6, ? (a) 4 (b) 3 (c) 1 (d) 2
  4. 4.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 4 (c) 2 (d) 1
  5. 5.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  6. 6.What comes next? 58, 52, 46, 40, 34, ? (a) 29 (b) 28 (c) 22 (d) 27
  7. 7.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 35 (c) 34 (d) 32
  8. 8.What comes next? 14, 20, 26, 32, 38, ? (a) 50 (b) 43 (c) 45 (d) 44
  9. 9.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 7 (b) 14 (c) 6 (d) 13
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  11. 11.What comes next? 44, 38, 32, 26, 20, ? (a) 15 (b) 14 (c) 13 (d) 8
  12. 12.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  13. 13.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 30 (c) 31 (d) 33
  14. 14.What comes next? 38, 33, 28, 23, 18, ? (a) 14 (b) 12 (c) 8 (d) 13
  15. 15.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 6 (b) 12 (c) 13 (d) 5
  16. 16.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 19 (b) 11 (c) 12 (d) 18
  17. 17.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 6 (c) 7 (d) 8
  18. 18.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 14 (c) 15 (d) 16
  19. 19.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 15 (c) 16 (d) 17
  20. 20.What comes next? 55, 50, 45, 40, 35, ? (a) 25 (b) 29 (c) 31 (d) 30
  21. 21.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 46 (c) 44 (d) 45
  22. 22.What comes next? 18, 27, 25, 34, 32, 41, ? (a) 38 (b) 39 (c) 50 (d) 43
  23. 23.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 39 (c) 40 (d) 42
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  25. 25.What comes next? 18, 26, 24, 32, 30, 38, ? (a) 46 (b) 35 (c) 36 (d) 40
  26. 26.What comes next? 22, 19, 16, 13, 10, ? (a) 4 (b) 8 (c) 7 (d) 6
  27. 27.What comes next? 1, 8, 7, 14, 13, 20, ? (a) 21 (b) 18 (c) 27 (d) 19
  28. 28.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 35 (c) 37 (d) 34
  29. 29.What comes next? 55, 47, 39, 31, 23, ? (a) 16 (b) 15 (c) 7 (d) 14
  30. 30.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 16 (c) 15 (d) 14
  31. 31.What comes next? 7, 11, 16, 22, 29, ? (a) 37 (b) 36 (c) 38 (d) 39
  32. 32.What comes next? 22, 29, 36, 43, 50, ? (a) 56 (b) 64 (c) 57 (d) 58
  33. 33.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 21 (c) 20 (d) 18
  34. 34.What comes next? 19, 21, 23, 25, 27, ? (a) 28 (b) 30 (c) 29 (d) 31
  35. 35.What comes next? 8, 15, 22, 29, 36, ? (a) 44 (b) 42 (c) 43 (d) 50
  36. 36.What comes next? 7, 16, 12, 21, 17, 26, ? (a) 21 (b) 35 (c) 22 (d) 30
  37. 37.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 29 (b) 25 (c) 24 (d) 34
  38. 38.What comes next? 19, 25, 31, 37, 43, ? (a) 55 (b) 48 (c) 49 (d) 50
  39. 39.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 12 (b) 8 (c) 14 (d) 7
  40. 40.What comes next? 12, 17, 22, 27, 32, ? (a) 37 (b) 36 (c) 38 (d) 42

Answer key

  1. 32
  2. 33
  3. 2
  4. 1
  5. 96
  6. 28
  7. 33
  8. 44
  9. 7
  10. 243
  11. 14
  12. 128
  13. 31
  14. 13
  15. 6
  16. 12
  17. 7
  18. 15
  19. 16
  20. 30
  21. 44
  22. 39
  23. 40
  24. 81
  25. 36
  26. 7
  27. 19
  28. 35
  29. 15
  30. 15
  31. 37
  32. 57
  33. 19
  34. 29
  35. 43
  36. 22
  37. 25
  38. 49
  39. 8
  40. 37

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