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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 321 · 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? 10, 14, 13, 17, 16, 20, ? (a) 18 (b) 24 (c) 19 (d) 21
  2. 2.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 38 (c) 36 (d) 35
  3. 3.What comes next? 33, 27, 21, 15, 9, ? (a) 3 (b) 4 (c) 2 (d) 5
  4. 4.What comes next? 23, 34, 45, 56, 67, ? (a) 79 (b) 89 (c) 78 (d) 77
  5. 5.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  6. 6.What comes next? 27, 35, 43, 51, 59, ? (a) 67 (b) 68 (c) 66 (d) 75
  7. 7.What comes next? 49, 45, 41, 37, 33, ? (a) 25 (b) 29 (c) 30 (d) 28
  8. 8.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 31 (c) 28 (d) 29
  9. 9.What comes next? 13, 22, 31, 40, 49, ? (a) 67 (b) 57 (c) 59 (d) 58
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 270 (d) 135
  11. 11.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 31 (d) 29
  12. 12.What comes next? 21, 31, 41, 51, 61, ? (a) 70 (b) 71 (c) 72 (d) 81
  13. 13.What comes next? 31, 26, 21, 16, 11, ? (a) 7 (b) 1 (c) 5 (d) 6
  14. 14.What comes next? 14, 21, 28, 35, 42, ? (a) 56 (b) 50 (c) 49 (d) 48
  15. 15.What comes next? 18, 25, 19, 26, 20, 27, ? (a) 20 (b) 34 (c) 21 (d) 33
  16. 16.What comes next? 57, 50, 43, 36, 29, ? (a) 21 (b) 23 (c) 22 (d) 15
  17. 17.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 27 (b) 28 (c) 36 (d) 32
  18. 18.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 9 (b) 19 (c) 10 (d) 16
  19. 19.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 47 (c) 46 (d) 45
  20. 20.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 35 (c) 34 (d) 33
  21. 21.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 6 (c) 7 (d) 3
  22. 22.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 19 (b) 25 (c) 20 (d) 22
  23. 23.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  25. 25.What comes next? 7, 13, 12, 18, 17, 23, ? (a) 29 (b) 24 (c) 22 (d) 21
  26. 26.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 120 (d) 72
  27. 27.What comes next? 39, 37, 35, 33, 31, ? (a) 27 (b) 28 (c) 30 (d) 29
  28. 28.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  29. 29.What comes next? 8, 17, 11, 20, 14, 23, ? (a) 16 (b) 29 (c) 17 (d) 32
  30. 30.What comes next? 28, 39, 50, 61, 72, ? (a) 94 (b) 84 (c) 82 (d) 83
  31. 31.What comes next? 7, 15, 8, 16, 9, 17, ? (a) 24 (b) 25 (c) 10 (d) 9
  32. 32.What comes next? 3, 6, 4, 7, 5, 8, ? (a) 11 (b) 5 (c) 6 (d) 10
  33. 33.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 32 (c) 31 (d) 30
  34. 34.What comes next? 13, 18, 15, 20, 17, 22, ? (a) 25 (b) 18 (c) 19 (d) 27
  35. 35.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 18 (b) 19 (c) 11 (d) 12
  36. 36.What comes next? 4, 12, 8, 16, 12, 20, ? (a) 16 (b) 28 (c) 15 (d) 24
  37. 37.What comes next? 3, 9, 6, 12, 9, 15, ? (a) 12 (b) 21 (c) 18 (d) 11
  38. 38.What comes next? 48, 42, 36, 30, 24, ? (a) 12 (b) 17 (c) 18 (d) 19
  39. 39.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 26 (c) 25 (d) 27
  40. 40.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160

Answer key

  1. 19
  2. 36
  3. 3
  4. 78
  5. 160
  6. 67
  7. 29
  8. 29
  9. 58
  10. 243
  11. 29
  12. 71
  13. 6
  14. 49
  15. 21
  16. 22
  17. 28
  18. 10
  19. 45
  20. 33
  21. 7
  22. 20
  23. 32
  24. 81
  25. 22
  26. 96
  27. 29
  28. 192
  29. 17
  30. 83
  31. 10
  32. 6
  33. 31
  34. 19
  35. 12
  36. 16
  37. 12
  38. 18
  39. 26
  40. 128

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