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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 63 · 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? 23, 20, 17, 14, 11, ? (a) 9 (b) 8 (c) 5 (d) 7
  2. 2.What comes next? 23, 27, 31, 35, 39, ? (a) 44 (b) 47 (c) 42 (d) 43
  3. 3.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 22 (c) 23 (d) 24
  4. 4.What comes next? 8, 15, 10, 17, 12, 19, ? (a) 13 (b) 26 (c) 14 (d) 24
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  6. 6.What comes next? 47, 42, 37, 32, 27, ? (a) 17 (b) 21 (c) 22 (d) 23
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  8. 8.What comes next? 29, 34, 39, 44, 49, ? (a) 55 (b) 59 (c) 54 (d) 53
  9. 9.What comes next? 18, 30, 42, 54, 66, ? (a) 79 (b) 78 (c) 77 (d) 90
  10. 10.What comes next? 18, 16, 14, 12, 10, ? (a) 7 (b) 8 (c) 6 (d) 9
  11. 11.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 27 (c) 25 (d) 26
  12. 12.What comes next? 68, 60, 52, 44, 36, ? (a) 20 (b) 29 (c) 27 (d) 28
  13. 13.What comes next? 14, 17, 21, 26, 32, ? (a) 41 (b) 39 (c) 40 (d) 38
  14. 14.What comes next? 10, 14, 18, 22, 26, ? (a) 34 (b) 30 (c) 31 (d) 29
  15. 15.What comes next? 10, 22, 34, 46, 58, ? (a) 82 (b) 69 (c) 70 (d) 71
  16. 16.What comes next? 22, 32, 42, 52, 62, ? (a) 82 (b) 73 (c) 71 (d) 72
  17. 17.What comes next? 17, 22, 27, 32, 37, ? (a) 41 (b) 43 (c) 47 (d) 42
  18. 18.What comes next? 27, 23, 19, 15, 11, ? (a) 7 (b) 8 (c) 3 (d) 6
  19. 19.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 240 (d) 193
  20. 20.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 31 (c) 33 (d) 30
  21. 21.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 9 (b) 6 (c) 7 (d) 11
  22. 22.What comes next? 30, 26, 22, 18, 14, ? (a) 6 (b) 11 (c) 10 (d) 9
  23. 23.What comes next? 46, 38, 30, 22, 14, ? (a) 5 (b) 8 (c) 6 (d) 7
  24. 24.What comes next? 6, 12, 9, 15, 12, 18, ? (a) 21 (b) 14 (c) 24 (d) 15
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  26. 26.What comes next? 15, 23, 22, 30, 29, 37, ? (a) 45 (b) 36 (c) 35 (d) 38
  27. 27.What comes next? 61, 53, 45, 37, 29, ? (a) 22 (b) 21 (c) 20 (d) 13
  28. 28.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 14 (c) 15 (d) 16
  29. 29.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 28 (b) 27 (c) 36 (d) 32
  30. 30.What comes next? 26, 34, 42, 50, 58, ? (a) 67 (b) 66 (c) 74 (d) 65
  31. 31.What comes next? 9, 15, 21, 27, 33, ? (a) 45 (b) 38 (c) 39 (d) 40
  32. 32.What comes next? 49, 41, 33, 25, 17, ? (a) 8 (b) 10 (c) 1 (d) 9
  33. 33.What comes next? 16, 19, 22, 25, 28, ? (a) 34 (b) 30 (c) 31 (d) 32
  34. 34.What comes next? 40, 37, 34, 31, 28, ? (a) 24 (b) 22 (c) 26 (d) 25
  35. 35.What comes next? 16, 25, 22, 31, 28, 37, ? (a) 33 (b) 40 (c) 34 (d) 46
  36. 36.What comes next? 7, 14, 10, 17, 13, 20, ? (a) 16 (b) 15 (c) 27 (d) 24
  37. 37.What comes next? 41, 34, 27, 20, 13, ? (a) 8 (b) 7 (c) 6 (d) 5
  38. 38.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 15 (c) 18 (d) 17
  39. 39.What comes next? 11, 14, 17, 20, 23, ? (a) 26 (b) 29 (c) 25 (d) 27
  40. 40.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 11 (b) 19 (c) 12 (d) 18

Answer key

  1. 8
  2. 43
  3. 23
  4. 14
  5. 243
  6. 22
  7. 162
  8. 54
  9. 78
  10. 8
  11. 26
  12. 28
  13. 39
  14. 30
  15. 70
  16. 72
  17. 42
  18. 7
  19. 192
  20. 31
  21. 7
  22. 10
  23. 6
  24. 15
  25. 81
  26. 36
  27. 21
  28. 15
  29. 28
  30. 66
  31. 39
  32. 9
  33. 31
  34. 25
  35. 34
  36. 16
  37. 6
  38. 16
  39. 26
  40. 12

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