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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 383 · 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? 1, 5, 3, 7, 5, 9, ? (a) 6 (b) 13 (c) 11 (d) 7
  2. 2.What comes next? 28, 25, 22, 19, 16, ? (a) 14 (b) 12 (c) 10 (d) 13
  3. 3.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 4 (b) 11 (c) 5 (d) 12
  4. 4.What comes next? 19, 17, 15, 13, 11, ? (a) 8 (b) 9 (c) 7 (d) 10
  5. 5.What comes next? 24, 36, 48, 60, 72, ? (a) 84 (b) 96 (c) 85 (d) 83
  6. 6.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 18 (d) 17
  7. 7.What comes next? 48, 40, 32, 24, 16, ? (a) 10 (b) 9 (c) 8 (d) 7
  8. 8.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 27 (c) 29 (d) 28
  9. 9.What comes next? 18, 24, 20, 26, 22, 28, ? (a) 32 (b) 23 (c) 24 (d) 34
  10. 10.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 36 (c) 37 (d) 38
  11. 11.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  12. 12.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 24 (c) 23 (d) 22
  13. 13.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 29 (d) 31
  14. 14.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 15 (b) 12 (c) 13 (d) 17
  15. 15.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 160 (d) 129
  16. 16.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 17 (b) 14 (c) 11 (d) 12
  17. 17.What comes next? 17, 20, 23, 26, 29, ? (a) 32 (b) 33 (c) 31 (d) 35
  18. 18.What comes next? 23, 27, 31, 35, 39, ? (a) 43 (b) 47 (c) 44 (d) 42
  19. 19.What comes next? 7, 13, 9, 15, 11, 17, ? (a) 12 (b) 21 (c) 13 (d) 23
  20. 20.What comes next? 20, 28, 21, 29, 22, 30, ? (a) 23 (b) 37 (c) 38 (d) 22
  21. 21.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 9 (c) 10 (d) 1
  22. 22.What comes next? 19, 31, 43, 55, 67, ? (a) 78 (b) 79 (c) 80 (d) 91
  23. 23.What comes next? 30, 38, 46, 54, 62, ? (a) 70 (b) 69 (c) 71 (d) 78
  24. 24.What comes next? 2, 11, 20, 29, 38, ? (a) 46 (b) 56 (c) 48 (d) 47
  25. 25.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 31 (c) 33 (d) 32
  26. 26.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  27. 27.What comes next? 11, 14, 17, 20, 23, ? (a) 29 (b) 27 (c) 26 (d) 25
  28. 28.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 8 (c) 3 (d) 7
  29. 29.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 120 (d) 161
  30. 30.What comes next? 12, 21, 19, 28, 26, 35, ? (a) 33 (b) 32 (c) 44 (d) 37
  31. 31.What comes next? 10, 15, 14, 19, 18, 23, ? (a) 28 (b) 21 (c) 22 (d) 24
  32. 32.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  33. 33.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 4 (c) 5 (d) 2
  34. 34.What comes next? 11, 21, 31, 41, 51, ? (a) 71 (b) 60 (c) 61 (d) 62
  35. 35.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 23 (c) 25 (d) 24
  36. 36.What comes next? 20, 24, 29, 35, 42, ? (a) 52 (b) 49 (c) 50 (d) 51
  37. 37.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 33 (c) 30 (d) 32
  38. 38.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 24 (b) 26 (c) 20 (d) 19
  39. 39.What comes next? 9, 15, 11, 17, 13, 19, ? (a) 15 (b) 23 (c) 25 (d) 14
  40. 40.What comes next? 19, 26, 25, 32, 31, 38, ? (a) 45 (b) 36 (c) 37 (d) 39

Answer key

  1. 7
  2. 13
  3. 5
  4. 9
  5. 84
  6. 17
  7. 8
  8. 27
  9. 24
  10. 36
  11. 64
  12. 23
  13. 29
  14. 13
  15. 128
  16. 12
  17. 32
  18. 43
  19. 13
  20. 23
  21. 9
  22. 79
  23. 70
  24. 47
  25. 31
  26. 32
  27. 26
  28. 8
  29. 160
  30. 33
  31. 22
  32. 243
  33. 3
  34. 61
  35. 24
  36. 50
  37. 31
  38. 20
  39. 15
  40. 37

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