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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 543 · 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? 17, 14, 11, 8, 5, ? (a) 3 (b) 4 (c) 1 (d) 2
  2. 2.What comes next? 54, 45, 36, 27, 18, ? (a) 8 (b) 10 (c) 9 (d) 11
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  4. 4.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 28 (c) 27 (d) 26
  5. 5.What comes next? 14, 18, 16, 20, 18, 22, ? (a) 24 (b) 20 (c) 26 (d) 19
  6. 6.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 25 (c) 28 (d) 26
  7. 7.What comes next? 28, 33, 38, 43, 48, ? (a) 58 (b) 54 (c) 52 (d) 53
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  9. 9.What comes next? 19, 28, 26, 35, 33, 42, ? (a) 44 (b) 51 (c) 39 (d) 40
  10. 10.What comes next? 15, 18, 22, 27, 33, ? (a) 40 (b) 42 (c) 41 (d) 39
  11. 11.What comes next? 7, 8, 10, 13, 17, ? (a) 23 (b) 24 (c) 21 (d) 22
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  13. 13.What comes next? 36, 32, 28, 24, 20, ? (a) 12 (b) 15 (c) 17 (d) 16
  14. 14.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 22 (c) 21 (d) 23
  15. 15.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  16. 16.What comes next? 60, 53, 46, 39, 32, ? (a) 25 (b) 18 (c) 26 (d) 24
  17. 17.What comes next? 54, 49, 44, 39, 34, ? (a) 29 (b) 30 (c) 28 (d) 24
  18. 18.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 4 (c) 5 (d) 7
  19. 19.What comes next? 4, 12, 9, 17, 14, 22, ? (a) 30 (b) 25 (c) 18 (d) 19
  20. 20.What comes next? 25, 28, 31, 34, 37, ? (a) 40 (b) 43 (c) 41 (d) 39
  21. 21.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  22. 22.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 5 (c) 4 (d) 3
  23. 23.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 51 (c) 58 (d) 50
  24. 24.What comes next? 30, 42, 54, 66, 78, ? (a) 89 (b) 91 (c) 90 (d) 102
  25. 25.What comes next? 43, 39, 35, 31, 27, ? (a) 19 (b) 24 (c) 23 (d) 22
  26. 26.What comes next? 26, 22, 18, 14, 10, ? (a) 6 (b) 7 (c) 2 (d) 5
  27. 27.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 23 (c) 21 (d) 22
  28. 28.What comes next? 4, 12, 20, 28, 36, ? (a) 43 (b) 52 (c) 45 (d) 44
  29. 29.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 40 (c) 41 (d) 42
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  31. 31.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 5 (c) 6 (d) 3
  32. 32.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 33 (b) 38 (c) 30 (d) 31
  33. 33.What comes next? 44, 37, 30, 23, 16, ? (a) 10 (b) 2 (c) 8 (d) 9
  34. 34.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 39 (c) 36 (d) 38
  35. 35.What comes next? 42, 35, 28, 21, 14, ? (a) 6 (b) 7 (c) 8 (d) 9
  36. 36.What comes next? 50, 43, 36, 29, 22, ? (a) 8 (b) 14 (c) 16 (d) 15
  37. 37.What comes next? 27, 29, 31, 33, 35, ? (a) 39 (b) 37 (c) 38 (d) 36
  38. 38.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 28 (c) 31 (d) 29
  39. 39.What comes next? 47, 38, 29, 20, 11, ? (a) 3 (b) 1 (c) 2 (d) 4
  40. 40.What comes next? 19, 16, 13, 10, 7, ? (a) 3 (b) 5 (c) 1 (d) 4

Answer key

  1. 2
  2. 9
  3. 81
  4. 27
  5. 20
  6. 26
  7. 53
  8. 192
  9. 40
  10. 40
  11. 22
  12. 243
  13. 16
  14. 21
  15. 32
  16. 25
  17. 29
  18. 5
  19. 19
  20. 40
  21. 162
  22. 3
  23. 50
  24. 90
  25. 23
  26. 6
  27. 22
  28. 44
  29. 40
  30. 128
  31. 4
  32. 31
  33. 9
  34. 37
  35. 7
  36. 15
  37. 37
  38. 29
  39. 2
  40. 4

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