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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 298 · 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? 15, 13, 11, 9, 7, ? (a) 4 (b) 6 (c) 3 (d) 5
  2. 2.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 29 (c) 28 (d) 27
  3. 3.What comes next? 45, 39, 33, 27, 21, ? (a) 15 (b) 16 (c) 14 (d) 9
  4. 4.What comes next? 13, 22, 31, 40, 49, ? (a) 67 (b) 59 (c) 57 (d) 58
  5. 5.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 34 (c) 37 (d) 35
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  7. 7.What comes next? 51, 43, 35, 27, 19, ? (a) 10 (b) 12 (c) 3 (d) 11
  8. 8.What comes next? 26, 30, 34, 38, 42, ? (a) 47 (b) 50 (c) 45 (d) 46
  9. 9.What comes next? 19, 22, 25, 28, 31, ? (a) 35 (b) 37 (c) 34 (d) 33
  10. 10.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 38 (c) 39 (d) 41
  11. 11.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  12. 12.What comes next? 36, 32, 28, 24, 20, ? (a) 12 (b) 17 (c) 16 (d) 15
  13. 13.What comes next? 29, 31, 33, 35, 37, ? (a) 41 (b) 40 (c) 38 (d) 39
  14. 14.What comes next? 26, 23, 20, 17, 14, ? (a) 12 (b) 8 (c) 11 (d) 10
  15. 15.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 33 (c) 34 (d) 32
  16. 16.What comes next? 25, 23, 21, 19, 17, ? (a) 16 (b) 14 (c) 15 (d) 13
  17. 17.What comes next? 13, 17, 22, 28, 35, ? (a) 44 (b) 45 (c) 42 (d) 43
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  19. 19.What comes next? 34, 32, 30, 28, 26, ? (a) 25 (b) 22 (c) 23 (d) 24
  20. 20.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 161 (d) 160
  21. 21.What comes next? 30, 33, 36, 39, 42, ? (a) 44 (b) 45 (c) 46 (d) 48
  22. 22.What comes next? 2, 13, 24, 35, 46, ? (a) 68 (b) 56 (c) 57 (d) 58
  23. 23.What comes next? 11, 17, 23, 29, 35, ? (a) 42 (b) 41 (c) 47 (d) 40
  24. 24.What comes next? 56, 49, 42, 35, 28, ? (a) 21 (b) 22 (c) 14 (d) 20
  25. 25.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 38 (c) 36 (d) 37
  26. 26.What comes next? 8, 12, 16, 20, 24, ? (a) 32 (b) 28 (c) 27 (d) 29
  27. 27.What comes next? 7, 10, 13, 16, 19, ? (a) 23 (b) 22 (c) 25 (d) 21
  28. 28.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 14 (b) 9 (c) 10 (d) 15
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  30. 30.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 5 (c) 4 (d) 6
  31. 31.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 13 (c) 12 (d) 10
  32. 32.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 7 (b) 13 (c) 12 (d) 8
  33. 33.What comes next? 22, 19, 16, 13, 10, ? (a) 6 (b) 8 (c) 7 (d) 4
  34. 34.What comes next? 20, 26, 25, 31, 30, 36, ? (a) 34 (b) 35 (c) 42 (d) 37
  35. 35.What comes next? 45, 38, 31, 24, 17, ? (a) 3 (b) 10 (c) 9 (d) 11
  36. 36.What comes next? 8, 14, 11, 17, 14, 20, ? (a) 17 (b) 16 (c) 26 (d) 23
  37. 37.What comes next? 24, 34, 44, 54, 64, ? (a) 73 (b) 75 (c) 84 (d) 74
  38. 38.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 21 (b) 29 (c) 28 (d) 22
  39. 39.What comes next? 18, 29, 40, 51, 62, ? (a) 74 (b) 84 (c) 72 (d) 73
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 240 (d) 192

Answer key

  1. 5
  2. 27
  3. 15
  4. 58
  5. 35
  6. 243
  7. 11
  8. 46
  9. 34
  10. 39
  11. 96
  12. 16
  13. 39
  14. 11
  15. 32
  16. 15
  17. 43
  18. 81
  19. 24
  20. 160
  21. 45
  22. 57
  23. 41
  24. 21
  25. 36
  26. 28
  27. 22
  28. 10
  29. 162
  30. 5
  31. 12
  32. 8
  33. 7
  34. 35
  35. 10
  36. 17
  37. 74
  38. 22
  39. 73
  40. 192

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