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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 399 · 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? 11, 16, 12, 17, 13, 18, ? (a) 14 (b) 13 (c) 23 (d) 22
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  3. 3.What comes next? 2, 4, 7, 11, 16, ? (a) 24 (b) 23 (c) 22 (d) 21
  4. 4.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 20 (b) 13 (c) 14 (d) 21
  5. 5.What comes next? 14, 19, 24, 29, 34, ? (a) 40 (b) 39 (c) 44 (d) 38
  6. 6.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 37 (c) 36 (d) 38
  7. 7.What comes next? 65, 57, 49, 41, 33, ? (a) 25 (b) 17 (c) 24 (d) 26
  8. 8.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 37 (c) 36 (d) 35
  9. 9.What comes next? 5, 11, 7, 13, 9, 15, ? (a) 19 (b) 21 (c) 11 (d) 10
  10. 10.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 9 (b) 11 (c) 7 (d) 6
  11. 11.What comes next? 4, 7, 10, 13, 16, ? (a) 22 (b) 20 (c) 18 (d) 19
  12. 12.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  13. 13.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  15. 15.What comes next? 30, 33, 36, 39, 42, ? (a) 48 (b) 45 (c) 44 (d) 46
  16. 16.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 37 (c) 36 (d) 35
  17. 17.What comes next? 18, 25, 32, 39, 46, ? (a) 54 (b) 60 (c) 52 (d) 53
  18. 18.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 193 (d) 144
  19. 19.What comes next? 7, 16, 14, 23, 21, 30, ? (a) 28 (b) 39 (c) 32 (d) 27
  20. 20.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 3 (c) 6 (d) 5
  21. 21.What comes next? 9, 17, 25, 33, 41, ? (a) 50 (b) 49 (c) 48 (d) 57
  22. 22.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  23. 23.What comes next? 10, 18, 17, 25, 24, 32, ? (a) 40 (b) 33 (c) 31 (d) 30
  24. 24.What comes next? 59, 50, 41, 32, 23, ? (a) 13 (b) 15 (c) 14 (d) 5
  25. 25.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 5 (c) 6 (d) 7
  26. 26.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 23 (c) 24 (d) 25
  27. 27.What comes next? 54, 47, 40, 33, 26, ? (a) 18 (b) 20 (c) 12 (d) 19
  28. 28.What comes next? 8, 17, 10, 19, 12, 21, ? (a) 14 (b) 28 (c) 13 (d) 30
  29. 29.What comes next? 53, 48, 43, 38, 33, ? (a) 28 (b) 27 (c) 23 (d) 29
  30. 30.What comes next? 20, 18, 16, 14, 12, ? (a) 10 (b) 8 (c) 11 (d) 9
  31. 31.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 21 (c) 19 (d) 20
  32. 32.What comes next? 13, 20, 16, 23, 19, 26, ? (a) 21 (b) 30 (c) 33 (d) 22
  33. 33.What comes next? 26, 35, 44, 53, 62, ? (a) 71 (b) 80 (c) 70 (d) 72
  34. 34.What comes next? 9, 13, 18, 24, 31, ? (a) 41 (b) 40 (c) 39 (d) 38
  35. 35.What comes next? 5, 6, 8, 11, 15, ? (a) 20 (b) 19 (c) 21 (d) 22
  36. 36.What comes next? 21, 19, 17, 15, 13, ? (a) 9 (b) 10 (c) 12 (d) 11
  37. 37.What comes next? 19, 31, 43, 55, 67, ? (a) 78 (b) 91 (c) 80 (d) 79
  38. 38.What comes next? 53, 44, 35, 26, 17, ? (a) 8 (b) 9 (c) 10 (d) 7
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 135 (d) 243
  40. 40.What comes next? 6, 12, 8, 14, 10, 16, ? (a) 22 (b) 12 (c) 20 (d) 11

Answer key

  1. 14
  2. 96
  3. 22
  4. 14
  5. 39
  6. 36
  7. 25
  8. 35
  9. 11
  10. 7
  11. 19
  12. 160
  13. 128
  14. 81
  15. 45
  16. 35
  17. 53
  18. 192
  19. 28
  20. 4
  21. 49
  22. 162
  23. 31
  24. 14
  25. 5
  26. 24
  27. 19
  28. 14
  29. 28
  30. 10
  31. 20
  32. 22
  33. 71
  34. 39
  35. 20
  36. 11
  37. 79
  38. 8
  39. 243
  40. 12

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