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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 207 · 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? 16, 18, 20, 22, 24, ? (a) 25 (b) 28 (c) 27 (d) 26
  2. 2.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  3. 3.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 27 (b) 25 (c) 29 (d) 24
  4. 4.What comes next? 47, 41, 35, 29, 23, ? (a) 18 (b) 17 (c) 11 (d) 16
  5. 5.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 37 (d) 39
  6. 6.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 33 (c) 34 (d) 35
  7. 7.What comes next? 18, 26, 20, 28, 22, 30, ? (a) 38 (b) 36 (c) 24 (d) 23
  8. 8.What comes next? 41, 34, 27, 20, 13, ? (a) 6 (b) 5 (c) 7 (d) 8
  9. 9.What comes next? 34, 31, 28, 25, 22, ? (a) 18 (b) 20 (c) 16 (d) 19
  10. 10.What comes next? 30, 37, 44, 51, 58, ? (a) 72 (b) 66 (c) 65 (d) 64
  11. 11.What comes next? 28, 32, 36, 40, 44, ? (a) 48 (b) 49 (c) 47 (d) 52
  12. 12.What comes next? 5, 10, 15, 20, 25, ? (a) 31 (b) 29 (c) 35 (d) 30
  13. 13.What comes next? 15, 20, 19, 24, 23, 28, ? (a) 33 (b) 29 (c) 26 (d) 27
  14. 14.What comes next? 66, 58, 50, 42, 34, ? (a) 18 (b) 26 (c) 25 (d) 27
  15. 15.What comes next? 6, 14, 12, 20, 18, 26, ? (a) 23 (b) 28 (c) 34 (d) 24
  16. 16.What comes next? 27, 32, 37, 42, 47, ? (a) 52 (b) 53 (c) 51 (d) 57
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  18. 18.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 15 (b) 18 (c) 16 (d) 20
  19. 19.What comes next? 53, 47, 41, 35, 29, ? (a) 24 (b) 22 (c) 23 (d) 17
  20. 20.What comes next? 22, 34, 46, 58, 70, ? (a) 81 (b) 82 (c) 94 (d) 83
  21. 21.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 17 (c) 16 (d) 18
  22. 22.What comes next? 48, 44, 40, 36, 32, ? (a) 28 (b) 27 (c) 29 (d) 24
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  24. 24.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 24 (b) 21 (c) 26 (d) 22
  25. 25.What comes next? 11, 16, 12, 17, 13, 18, ? (a) 23 (b) 22 (c) 14 (d) 13
  26. 26.What comes next? 11, 19, 27, 35, 43, ? (a) 59 (b) 51 (c) 52 (d) 50
  27. 27.What comes next? 42, 38, 34, 30, 26, ? (a) 21 (b) 22 (c) 23 (d) 18
  28. 28.What comes next? 63, 55, 47, 39, 31, ? (a) 24 (b) 22 (c) 23 (d) 15
  29. 29.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 36 (c) 35 (d) 38
  30. 30.What comes next? 2, 14, 26, 38, 50, ? (a) 61 (b) 74 (c) 63 (d) 62
  31. 31.What comes next? 35, 33, 31, 29, 27, ? (a) 26 (b) 24 (c) 25 (d) 23
  32. 32.What comes next? 18, 25, 19, 26, 20, 27, ? (a) 21 (b) 34 (c) 20 (d) 33
  33. 33.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 30 (c) 36 (d) 31
  34. 34.What comes next? 42, 35, 28, 21, 14, ? (a) 7 (b) 8 (c) 9 (d) 6
  35. 35.What comes next? 17, 19, 21, 23, 25, ? (a) 29 (b) 26 (c) 28 (d) 27
  36. 36.What comes next? 12, 19, 14, 21, 16, 23, ? (a) 18 (b) 28 (c) 17 (d) 30
  37. 37.What comes next? 18, 16, 14, 12, 10, ? (a) 9 (b) 7 (c) 8 (d) 6
  38. 38.What comes next? 20, 26, 23, 29, 26, 32, ? (a) 29 (b) 28 (c) 35 (d) 38
  39. 39.What comes next? 7, 15, 13, 21, 19, 27, ? (a) 35 (b) 25 (c) 24 (d) 29
  40. 40.What comes next? 5, 7, 9, 11, 13, ? (a) 14 (b) 17 (c) 16 (d) 15

Answer key

  1. 26
  2. 128
  3. 25
  4. 17
  5. 37
  6. 33
  7. 24
  8. 6
  9. 19
  10. 65
  11. 48
  12. 30
  13. 27
  14. 26
  15. 24
  16. 52
  17. 81
  18. 16
  19. 23
  20. 82
  21. 17
  22. 28
  23. 64
  24. 22
  25. 14
  26. 51
  27. 22
  28. 23
  29. 36
  30. 62
  31. 25
  32. 21
  33. 31
  34. 7
  35. 27
  36. 18
  37. 8
  38. 29
  39. 25
  40. 15

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