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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 219 · 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? 3, 9, 8, 14, 13, 19, ? (a) 20 (b) 25 (c) 18 (d) 17
  2. 2.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 36 (c) 35 (d) 34
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 192 (d) 240
  4. 4.What comes next? 29, 37, 45, 53, 61, ? (a) 70 (b) 77 (c) 69 (d) 68
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 243 (d) 216
  6. 6.What comes next? 23, 35, 47, 59, 71, ? (a) 82 (b) 84 (c) 95 (d) 83
  7. 7.What comes next? 19, 23, 27, 31, 35, ? (a) 38 (b) 40 (c) 39 (d) 43
  8. 8.What comes next? 37, 31, 25, 19, 13, ? (a) 1 (b) 7 (c) 6 (d) 8
  9. 9.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 39 (c) 38 (d) 37
  10. 10.What comes next? 12, 15, 18, 21, 24, ? (a) 30 (b) 28 (c) 26 (d) 27
  11. 11.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 30 (c) 29 (d) 28
  12. 12.What comes next? 14, 21, 17, 24, 20, 27, ? (a) 34 (b) 22 (c) 31 (d) 23
  13. 13.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 39 (c) 42 (d) 40
  14. 14.What comes next? 12, 19, 26, 33, 40, ? (a) 48 (b) 54 (c) 47 (d) 46
  15. 15.What comes next? 43, 38, 33, 28, 23, ? (a) 19 (b) 13 (c) 18 (d) 17
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  17. 17.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  18. 18.What comes next? 22, 24, 26, 28, 30, ? (a) 32 (b) 31 (c) 33 (d) 34
  19. 19.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 34 (d) 36
  20. 20.What comes next? 35, 29, 23, 17, 11, ? (a) 7 (b) 5 (c) 6 (d) 4
  21. 21.What comes next? 8, 13, 18, 23, 28, ? (a) 32 (b) 38 (c) 33 (d) 34
  22. 22.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 6 (c) 4 (d) 7
  23. 23.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 30 (c) 29 (d) 28
  24. 24.What comes next? 20, 27, 26, 33, 32, 39, ? (a) 38 (b) 40 (c) 37 (d) 46
  25. 25.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 26 (c) 24 (d) 25
  26. 26.What comes next? 20, 25, 23, 28, 26, 31, ? (a) 36 (b) 33 (c) 29 (d) 28
  27. 27.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 31 (c) 30 (d) 32
  28. 28.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 11 (b) 12 (c) 16 (d) 18
  29. 29.What comes next? 18, 30, 42, 54, 66, ? (a) 79 (b) 77 (c) 78 (d) 90
  30. 30.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 24 (d) 32
  31. 31.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 11 (b) 17 (c) 10 (d) 18
  32. 32.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 7 (b) 13 (c) 11 (d) 6
  33. 33.What comes next? 4, 8, 12, 16, 20, ? (a) 23 (b) 25 (c) 24 (d) 28
  34. 34.What comes next? 45, 38, 31, 24, 17, ? (a) 9 (b) 3 (c) 10 (d) 11
  35. 35.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 13 (b) 6 (c) 14 (d) 7
  36. 36.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  37. 37.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 31 (d) 28
  38. 38.What comes next? 65, 56, 47, 38, 29, ? (a) 21 (b) 20 (c) 19 (d) 11
  39. 39.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  40. 40.What comes next? 16, 23, 17, 24, 18, 25, ? (a) 31 (b) 19 (c) 18 (d) 32

Answer key

  1. 18
  2. 35
  3. 192
  4. 69
  5. 243
  6. 83
  7. 39
  8. 7
  9. 38
  10. 27
  11. 28
  12. 23
  13. 40
  14. 47
  15. 18
  16. 96
  17. 28
  18. 32
  19. 35
  20. 5
  21. 33
  22. 7
  23. 29
  24. 38
  25. 24
  26. 29
  27. 30
  28. 12
  29. 78
  30. 32
  31. 11
  32. 7
  33. 24
  34. 10
  35. 7
  36. 128
  37. 29
  38. 20
  39. 81
  40. 19

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