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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 80 · 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? 21, 23, 25, 27, 29, ? (a) 32 (b) 30 (c) 33 (d) 31
  2. 2.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 23 (b) 31 (c) 33 (d) 22
  3. 3.What comes next? 37, 35, 33, 31, 29, ? (a) 27 (b) 25 (c) 26 (d) 28
  4. 4.What comes next? 5, 11, 17, 23, 29, ? (a) 41 (b) 36 (c) 34 (d) 35
  5. 5.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 27 (b) 28 (c) 33 (d) 30
  6. 6.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 23 (c) 26 (d) 24
  7. 7.What comes next? 17, 14, 11, 8, 5, ? (a) 3 (b) 2 (c) 4 (d) 1
  8. 8.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 11 (b) 7 (c) 6 (d) 9
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  10. 10.What comes next? 47, 39, 31, 23, 15, ? (a) 8 (b) 6 (c) 7 (d) 9
  11. 11.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 18 (c) 19 (d) 16
  12. 12.What comes next? 18, 21, 24, 27, 30, ? (a) 34 (b) 32 (c) 36 (d) 33
  13. 13.What comes next? 62, 55, 48, 41, 34, ? (a) 27 (b) 20 (c) 26 (d) 28
  14. 14.What comes next? 14, 25, 36, 47, 58, ? (a) 70 (b) 68 (c) 69 (d) 80
  15. 15.What comes next? 25, 30, 35, 40, 45, ? (a) 50 (b) 49 (c) 55 (d) 51
  16. 16.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  17. 17.What comes next? 17, 24, 31, 38, 45, ? (a) 59 (b) 53 (c) 51 (d) 52
  18. 18.What comes next? 24, 26, 28, 30, 32, ? (a) 36 (b) 35 (c) 33 (d) 34
  19. 19.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 27 (c) 26 (d) 25
  20. 20.What comes next? 13, 19, 25, 31, 37, ? (a) 49 (b) 43 (c) 44 (d) 42
  21. 21.What comes next? 30, 38, 46, 54, 62, ? (a) 70 (b) 69 (c) 71 (d) 78
  22. 22.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 16 (b) 9 (c) 10 (d) 19
  23. 23.What comes next? 20, 26, 22, 28, 24, 30, ? (a) 34 (b) 25 (c) 26 (d) 36
  24. 24.What comes next? 41, 33, 25, 17, 9, ? (a) 3 (b) 4 (c) 1 (d) 2
  25. 25.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 26 (b) 25 (c) 28 (d) 31
  26. 26.What comes next? 26, 22, 18, 14, 10, ? (a) 5 (b) 7 (c) 6 (d) 2
  27. 27.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  28. 28.What comes next? 7, 16, 14, 23, 21, 30, ? (a) 39 (b) 32 (c) 28 (d) 27
  29. 29.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 21 (c) 23 (d) 22
  30. 30.What comes next? 16, 26, 36, 46, 56, ? (a) 76 (b) 65 (c) 66 (d) 67
  31. 31.What comes next? 6, 15, 24, 33, 42, ? (a) 51 (b) 50 (c) 60 (d) 52
  32. 32.What comes next? 55, 50, 45, 40, 35, ? (a) 30 (b) 31 (c) 29 (d) 25
  33. 33.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 28 (c) 27 (d) 29
  34. 34.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  35. 35.What comes next? 22, 26, 30, 34, 38, ? (a) 43 (b) 46 (c) 41 (d) 42
  36. 36.What comes next? 3, 12, 11, 20, 19, 28, ? (a) 37 (b) 26 (c) 27 (d) 29
  37. 37.What comes next? 26, 31, 36, 41, 46, ? (a) 51 (b) 52 (c) 50 (d) 56
  38. 38.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  39. 39.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 39 (c) 40 (d) 41
  40. 40.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22

Answer key

  1. 31
  2. 23
  3. 27
  4. 35
  5. 28
  6. 24
  7. 2
  8. 7
  9. 32
  10. 7
  11. 17
  12. 33
  13. 27
  14. 69
  15. 50
  16. 243
  17. 52
  18. 34
  19. 26
  20. 43
  21. 70
  22. 10
  23. 26
  24. 1
  25. 26
  26. 6
  27. 162
  28. 28
  29. 22
  30. 66
  31. 51
  32. 30
  33. 28
  34. 64
  35. 42
  36. 27
  37. 51
  38. 81
  39. 39
  40. 20

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