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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 567 · 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, 19, 22, 25, 28, ? (a) 30 (b) 32 (c) 31 (d) 34
  2. 2.What comes next? 4, 16, 28, 40, 52, ? (a) 76 (b) 63 (c) 65 (d) 64
  3. 3.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  5. 5.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 50 (c) 52 (d) 51
  6. 6.What comes next? 1, 10, 3, 12, 5, 14, ? (a) 23 (b) 21 (c) 6 (d) 7
  7. 7.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 14 (c) 9 (d) 8
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  10. 10.What comes next? 7, 16, 25, 34, 43, ? (a) 51 (b) 52 (c) 53 (d) 61
  11. 11.What comes next? 12, 21, 17, 26, 22, 31, ? (a) 40 (b) 26 (c) 35 (d) 27
  12. 12.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 17 (b) 14 (c) 20 (d) 15
  13. 13.What comes next? 14, 21, 28, 35, 42, ? (a) 50 (b) 56 (c) 49 (d) 48
  14. 14.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 8 (b) 12 (c) 14 (d) 7
  15. 15.What comes next? 2, 12, 22, 32, 42, ? (a) 51 (b) 53 (c) 52 (d) 62
  16. 16.What comes next? 28, 30, 32, 34, 36, ? (a) 37 (b) 38 (c) 40 (d) 39
  17. 17.What comes next? 8, 16, 24, 32, 40, ? (a) 49 (b) 47 (c) 48 (d) 56
  18. 18.What comes next? 30, 38, 46, 54, 62, ? (a) 78 (b) 70 (c) 71 (d) 69
  19. 19.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 14 (c) 15 (d) 12
  20. 20.What comes next? 7, 13, 8, 14, 9, 15, ? (a) 9 (b) 10 (c) 20 (d) 21
  21. 21.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 11 (b) 12 (c) 17 (d) 16
  22. 22.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 14 (c) 16 (d) 15
  23. 23.What comes next? 16, 25, 20, 29, 24, 33, ? (a) 42 (b) 28 (c) 27 (d) 38
  24. 24.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 36 (c) 33 (d) 34
  25. 25.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 32 (c) 31 (d) 33
  26. 26.What comes next? 28, 24, 20, 16, 12, ? (a) 8 (b) 4 (c) 9 (d) 7
  27. 27.What comes next? 70, 61, 52, 43, 34, ? (a) 25 (b) 24 (c) 26 (d) 16
  28. 28.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 35 (c) 37 (d) 36
  29. 29.What comes next? 17, 24, 21, 28, 25, 32, ? (a) 28 (b) 29 (c) 35 (d) 39
  30. 30.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 23 (b) 22 (c) 17 (d) 18
  31. 31.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 32 (d) 30
  32. 32.What comes next? 37, 33, 29, 25, 21, ? (a) 18 (b) 16 (c) 17 (d) 13
  33. 33.What comes next? 11, 13, 15, 17, 19, ? (a) 22 (b) 20 (c) 23 (d) 21
  34. 34.What comes next? 17, 22, 20, 25, 23, 28, ? (a) 33 (b) 26 (c) 25 (d) 30
  35. 35.What comes next? 9, 16, 23, 30, 37, ? (a) 44 (b) 45 (c) 51 (d) 43
  36. 36.What comes next? 15, 23, 19, 27, 23, 31, ? (a) 26 (b) 39 (c) 27 (d) 35
  37. 37.What comes next? 19, 31, 43, 55, 67, ? (a) 80 (b) 91 (c) 79 (d) 78
  38. 38.What comes next? 9, 20, 31, 42, 53, ? (a) 65 (b) 75 (c) 64 (d) 63
  39. 39.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 9 (b) 15 (c) 14 (d) 10
  40. 40.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 29 (c) 28 (d) 30

Answer key

  1. 31
  2. 64
  3. 96
  4. 81
  5. 50
  6. 7
  7. 9
  8. 162
  9. 128
  10. 52
  11. 27
  12. 15
  13. 49
  14. 8
  15. 52
  16. 38
  17. 48
  18. 70
  19. 14
  20. 10
  21. 12
  22. 15
  23. 28
  24. 34
  25. 31
  26. 8
  27. 25
  28. 36
  29. 29
  30. 18
  31. 31
  32. 17
  33. 21
  34. 26
  35. 44
  36. 27
  37. 79
  38. 64
  39. 10
  40. 28

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