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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 314 · 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? 51, 42, 33, 24, 15, ? (a) 5 (b) 6 (c) 7 (d) 8
  2. 2.What comes next? 3, 10, 5, 12, 7, 14, ? (a) 9 (b) 19 (c) 21 (d) 8
  3. 3.What comes next? 25, 28, 31, 34, 37, ? (a) 41 (b) 39 (c) 40 (d) 43
  4. 4.What comes next? 21, 26, 31, 36, 41, ? (a) 45 (b) 47 (c) 51 (d) 46
  5. 5.What comes next? 20, 27, 22, 29, 24, 31, ? (a) 26 (b) 36 (c) 25 (d) 38
  6. 6.What comes next? 16, 19, 22, 25, 28, ? (a) 30 (b) 31 (c) 32 (d) 34
  7. 7.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 16 (b) 11 (c) 18 (d) 12
  8. 8.What comes next? 3, 11, 19, 27, 35, ? (a) 44 (b) 43 (c) 42 (d) 51
  9. 9.What comes next? 58, 51, 44, 37, 30, ? (a) 16 (b) 22 (c) 24 (d) 23
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  11. 11.What comes next? 16, 20, 24, 28, 32, ? (a) 36 (b) 37 (c) 40 (d) 35
  12. 12.What comes next? 12, 23, 34, 45, 56, ? (a) 78 (b) 68 (c) 66 (d) 67
  13. 13.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  14. 14.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 15 (c) 14 (d) 16
  15. 15.What comes next? 13, 19, 15, 21, 17, 23, ? (a) 29 (b) 19 (c) 27 (d) 18
  16. 16.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 3 (c) 1 (d) 2
  17. 17.What comes next? 29, 31, 33, 35, 37, ? (a) 40 (b) 41 (c) 38 (d) 39
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  19. 19.What comes next? 23, 26, 29, 32, 35, ? (a) 38 (b) 37 (c) 41 (d) 39
  20. 20.What comes next? 6, 15, 14, 23, 22, 31, ? (a) 32 (b) 30 (c) 29 (d) 40
  21. 21.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 40 (c) 37 (d) 39
  22. 22.What comes next? 15, 21, 27, 33, 39, ? (a) 45 (b) 46 (c) 51 (d) 44
  23. 23.What comes next? 55, 46, 37, 28, 19, ? (a) 10 (b) 1 (c) 11 (d) 9
  24. 24.What comes next? 15, 18, 22, 27, 33, ? (a) 41 (b) 39 (c) 40 (d) 42
  25. 25.What comes next? 13, 17, 22, 28, 35, ? (a) 44 (b) 42 (c) 45 (d) 43
  26. 26.What comes next? 5, 10, 15, 20, 25, ? (a) 29 (b) 35 (c) 31 (d) 30
  27. 27.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  28. 28.What comes next? 11, 23, 35, 47, 59, ? (a) 71 (b) 70 (c) 83 (d) 72
  29. 29.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 10 (c) 12 (d) 8
  30. 30.What comes next? 39, 33, 27, 21, 15, ? (a) 8 (b) 10 (c) 3 (d) 9
  31. 31.What comes next? 2, 10, 9, 17, 16, 24, ? (a) 25 (b) 22 (c) 23 (d) 32
  32. 32.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 129 (d) 96
  33. 33.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 32 (c) 34 (d) 33
  34. 34.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 41 (c) 42 (d) 40
  35. 35.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  36. 36.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 43 (c) 41 (d) 42
  37. 37.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 33 (c) 34 (d) 36
  38. 38.What comes next? 19, 16, 13, 10, 7, ? (a) 1 (b) 4 (c) 3 (d) 5
  39. 39.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  40. 40.What comes next? 3, 11, 4, 12, 5, 13, ? (a) 6 (b) 21 (c) 20 (d) 5

Answer key

  1. 6
  2. 9
  3. 40
  4. 46
  5. 26
  6. 31
  7. 12
  8. 43
  9. 23
  10. 162
  11. 36
  12. 67
  13. 243
  14. 15
  15. 19
  16. 1
  17. 39
  18. 81
  19. 38
  20. 30
  21. 38
  22. 45
  23. 10
  24. 40
  25. 43
  26. 30
  27. 96
  28. 71
  29. 8
  30. 9
  31. 23
  32. 128
  33. 33
  34. 40
  35. 160
  36. 42
  37. 34
  38. 4
  39. 64
  40. 6

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