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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 304 · 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? 14, 20, 19, 25, 24, 30, ? (a) 36 (b) 28 (c) 31 (d) 29
  2. 2.What comes next? 2, 7, 4, 9, 6, 11, ? (a) 7 (b) 8 (c) 14 (d) 16
  3. 3.What comes next? 38, 36, 34, 32, 30, ? (a) 27 (b) 29 (c) 28 (d) 26
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  5. 5.What comes next? 57, 51, 45, 39, 33, ? (a) 26 (b) 28 (c) 27 (d) 21
  6. 6.What comes next? 3, 8, 6, 11, 9, 14, ? (a) 16 (b) 11 (c) 12 (d) 19
  7. 7.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  8. 8.What comes next? 14, 24, 34, 44, 54, ? (a) 74 (b) 63 (c) 65 (d) 64
  9. 9.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 27 (c) 28 (d) 25
  10. 10.What comes next? 5, 9, 13, 17, 21, ? (a) 24 (b) 26 (c) 29 (d) 25
  11. 11.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 11 (b) 8 (c) 13 (d) 9
  12. 12.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 18 (b) 8 (c) 20 (d) 7
  13. 13.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 41 (c) 43 (d) 42
  14. 14.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 33 (c) 32 (d) 34
  15. 15.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 13 (b) 16 (c) 10 (d) 11
  16. 16.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 36 (c) 37 (d) 34
  17. 17.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 14 (c) 12 (d) 13
  18. 18.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 37 (c) 38 (d) 35
  19. 19.What comes next? 39, 34, 29, 24, 19, ? (a) 9 (b) 14 (c) 15 (d) 13
  20. 20.What comes next? 7, 19, 31, 43, 55, ? (a) 66 (b) 67 (c) 68 (d) 79
  21. 21.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 37 (c) 38 (d) 36
  22. 22.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 40 (d) 38
  23. 23.What comes next? 42, 39, 36, 33, 30, ? (a) 27 (b) 28 (c) 26 (d) 24
  24. 24.What comes next? 20, 23, 27, 32, 38, ? (a) 47 (b) 46 (c) 45 (d) 44
  25. 25.What comes next? 2, 7, 12, 17, 22, ? (a) 26 (b) 28 (c) 32 (d) 27
  26. 26.What comes next? 13, 23, 33, 43, 53, ? (a) 64 (b) 63 (c) 73 (d) 62
  27. 27.What comes next? 43, 38, 33, 28, 23, ? (a) 19 (b) 17 (c) 13 (d) 18
  28. 28.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 11 (c) 8 (d) 10
  29. 29.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 3 (c) 6 (d) 5
  30. 30.What comes next? 10, 19, 17, 26, 24, 33, ? (a) 31 (b) 35 (c) 30 (d) 42
  31. 31.What comes next? 29, 24, 19, 14, 9, ? (a) 5 (b) 3 (c) 6 (d) 4
  32. 32.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  33. 33.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 14 (c) 13 (d) 16
  34. 34.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 44 (c) 45 (d) 46
  35. 35.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 17 (b) 16 (c) 21 (d) 19
  36. 36.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 5 (c) 4 (d) 2
  37. 37.What comes next? 55, 49, 43, 37, 31, ? (a) 26 (b) 24 (c) 25 (d) 19
  38. 38.What comes next? 54, 45, 36, 27, 18, ? (a) 9 (b) 11 (c) 8 (d) 10
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  40. 40.What comes next? 17, 19, 22, 26, 31, ? (a) 36 (b) 38 (c) 37 (d) 39

Answer key

  1. 29
  2. 8
  3. 28
  4. 81
  5. 27
  6. 12
  7. 96
  8. 64
  9. 26
  10. 25
  11. 9
  12. 8
  13. 42
  14. 32
  15. 11
  16. 35
  17. 13
  18. 36
  19. 14
  20. 67
  21. 37
  22. 38
  23. 27
  24. 45
  25. 27
  26. 63
  27. 18
  28. 10
  29. 5
  30. 31
  31. 4
  32. 192
  33. 14
  34. 44
  35. 17
  36. 3
  37. 25
  38. 9
  39. 243
  40. 37

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