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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 37 · 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? 13, 24, 35, 46, 57, ? (a) 79 (b) 69 (c) 68 (d) 67
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  3. 3.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24
  4. 4.What comes next? 18, 23, 21, 26, 24, 29, ? (a) 34 (b) 27 (c) 31 (d) 26
  5. 5.What comes next? 37, 33, 29, 25, 21, ? (a) 18 (b) 17 (c) 16 (d) 13
  6. 6.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 34 (c) 36 (d) 35
  7. 7.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  8. 8.What comes next? 42, 35, 28, 21, 14, ? (a) 9 (b) 6 (c) 8 (d) 7
  9. 9.What comes next? 8, 9, 11, 14, 18, ? (a) 22 (b) 23 (c) 25 (d) 24
  10. 10.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 25 (b) 18 (c) 19 (d) 21
  11. 11.What comes next? 16, 20, 24, 28, 32, ? (a) 35 (b) 37 (c) 36 (d) 40
  12. 12.What comes next? 9, 21, 33, 45, 57, ? (a) 70 (b) 81 (c) 69 (d) 68
  13. 13.What comes next? 16, 24, 22, 30, 28, 36, ? (a) 44 (b) 34 (c) 38 (d) 33
  14. 14.What comes next? 28, 30, 32, 34, 36, ? (a) 39 (b) 40 (c) 37 (d) 38
  15. 15.What comes next? 29, 34, 39, 44, 49, ? (a) 55 (b) 59 (c) 54 (d) 53
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  17. 17.What comes next? 29, 41, 53, 65, 77, ? (a) 101 (b) 88 (c) 89 (d) 90
  18. 18.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 28 (c) 31 (d) 30
  19. 19.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 26 (c) 29 (d) 28
  20. 20.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 21 (b) 17 (c) 16 (d) 22
  21. 21.What comes next? 45, 42, 39, 36, 33, ? (a) 29 (b) 31 (c) 27 (d) 30
  22. 22.What comes next? 6, 18, 30, 42, 54, ? (a) 65 (b) 78 (c) 66 (d) 67
  23. 23.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 20 (c) 19 (d) 22
  24. 24.What comes next? 12, 21, 17, 26, 22, 31, ? (a) 35 (b) 40 (c) 27 (d) 26
  25. 25.What comes next? 8, 20, 32, 44, 56, ? (a) 68 (b) 67 (c) 80 (d) 69
  26. 26.What comes next? 19, 26, 24, 31, 29, 36, ? (a) 38 (b) 43 (c) 33 (d) 34
  27. 27.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 28 (b) 26 (c) 23 (d) 24
  28. 28.What comes next? 48, 43, 38, 33, 28, ? (a) 24 (b) 18 (c) 22 (d) 23
  29. 29.What comes next? 10, 18, 26, 34, 42, ? (a) 50 (b) 51 (c) 49 (d) 58
  30. 30.What comes next? 8, 17, 26, 35, 44, ? (a) 53 (b) 62 (c) 54 (d) 52
  31. 31.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 36 (c) 35 (d) 38
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  33. 33.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  34. 34.What comes next? 27, 29, 31, 33, 35, ? (a) 38 (b) 37 (c) 39 (d) 36
  35. 35.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  36. 36.What comes next? 3, 8, 13, 18, 23, ? (a) 27 (b) 33 (c) 28 (d) 29
  37. 37.What comes next? 47, 42, 37, 32, 27, ? (a) 22 (b) 17 (c) 21 (d) 23
  38. 38.What comes next? 7, 14, 8, 15, 9, 16, ? (a) 23 (b) 22 (c) 10 (d) 9
  39. 39.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 29 (c) 24 (d) 27
  40. 40.What comes next? 42, 39, 36, 33, 30, ? (a) 26 (b) 27 (c) 28 (d) 24

Answer key

  1. 68
  2. 243
  3. 32
  4. 27
  5. 17
  6. 34
  7. 192
  8. 7
  9. 23
  10. 19
  11. 36
  12. 69
  13. 34
  14. 38
  15. 54
  16. 96
  17. 89
  18. 29
  19. 27
  20. 17
  21. 30
  22. 66
  23. 20
  24. 27
  25. 68
  26. 34
  27. 24
  28. 23
  29. 50
  30. 53
  31. 36
  32. 162
  33. 81
  34. 37
  35. 64
  36. 28
  37. 22
  38. 10
  39. 25
  40. 27

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