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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 553 · 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? 28, 24, 20, 16, 12, ? (a) 7 (b) 9 (c) 8 (d) 4
  2. 2.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 42 (c) 44 (d) 43
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  4. 4.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 15 (b) 17 (c) 19 (d) 14
  5. 5.What comes next? 9, 15, 21, 27, 33, ? (a) 39 (b) 45 (c) 40 (d) 38
  6. 6.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 35 (c) 36 (d) 37
  7. 7.What comes next? 43, 35, 27, 19, 11, ? (a) 5 (b) 4 (c) 2 (d) 3
  8. 8.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 7 (c) 6 (d) 5
  9. 9.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 34 (c) 32 (d) 33
  10. 10.What comes next? 3, 9, 4, 10, 5, 11, ? (a) 6 (b) 16 (c) 5 (d) 17
  11. 11.What comes next? 28, 40, 52, 64, 76, ? (a) 100 (b) 89 (c) 87 (d) 88
  12. 12.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 14 (c) 12 (d) 15
  13. 13.What comes next? 24, 20, 16, 12, 8, ? (a) 5 (b) 3 (c) 4 (d) 6
  14. 14.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  15. 15.What comes next? 17, 23, 21, 27, 25, 31, ? (a) 28 (b) 29 (c) 33 (d) 37
  16. 16.What comes next? 16, 19, 23, 28, 34, ? (a) 40 (b) 42 (c) 43 (d) 41
  17. 17.What comes next? 70, 62, 54, 46, 38, ? (a) 29 (b) 22 (c) 30 (d) 31
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 216 (d) 135
  19. 19.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 36 (c) 35 (d) 37
  20. 20.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 4 (c) 11 (d) 12
  21. 21.What comes next? 3, 8, 5, 10, 7, 12, ? (a) 8 (b) 15 (c) 9 (d) 17
  22. 22.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 14 (c) 15 (d) 9
  23. 23.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 9 (c) 8 (d) 7
  24. 24.What comes next? 54, 49, 44, 39, 34, ? (a) 28 (b) 29 (c) 24 (d) 30
  25. 25.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  26. 26.What comes next? 6, 7, 9, 12, 16, ? (a) 22 (b) 20 (c) 21 (d) 23
  27. 27.What comes next? 2, 7, 4, 9, 6, 11, ? (a) 14 (b) 16 (c) 7 (d) 8
  28. 28.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  29. 29.What comes next? 29, 41, 53, 65, 77, ? (a) 101 (b) 89 (c) 90 (d) 88
  30. 30.What comes next? 7, 14, 21, 28, 35, ? (a) 43 (b) 41 (c) 49 (d) 42
  31. 31.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  32. 32.What comes next? 42, 39, 36, 33, 30, ? (a) 26 (b) 27 (c) 28 (d) 24
  33. 33.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 23 (c) 25 (d) 24
  34. 34.What comes next? 15, 17, 19, 21, 23, ? (a) 24 (b) 25 (c) 26 (d) 27
  35. 35.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 8 (c) 5 (d) 7
  36. 36.What comes next? 23, 33, 43, 53, 63, ? (a) 74 (b) 83 (c) 72 (d) 73
  37. 37.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 33 (c) 34 (d) 32
  38. 38.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 28 (c) 29 (d) 31
  39. 39.What comes next? 9, 18, 16, 25, 23, 32, ? (a) 29 (b) 34 (c) 30 (d) 41
  40. 40.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 6 (c) 4 (d) 5

Answer key

  1. 8
  2. 43
  3. 81
  4. 15
  5. 39
  6. 35
  7. 3
  8. 5
  9. 32
  10. 6
  11. 88
  12. 14
  13. 4
  14. 96
  15. 29
  16. 41
  17. 30
  18. 243
  19. 36
  20. 11
  21. 9
  22. 14
  23. 8
  24. 29
  25. 32
  26. 21
  27. 8
  28. 162
  29. 89
  30. 42
  31. 64
  32. 27
  33. 24
  34. 25
  35. 7
  36. 73
  37. 32
  38. 29
  39. 30
  40. 4

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