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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 604 · 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? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  4. 4.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 50 (c) 48 (d) 49
  5. 5.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 27 (c) 26 (d) 29
  6. 6.What comes next? 50, 46, 42, 38, 34, ? (a) 30 (b) 31 (c) 29 (d) 26
  7. 7.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 9 (b) 14 (c) 10 (d) 12
  8. 8.What comes next? 5, 16, 27, 38, 49, ? (a) 71 (b) 59 (c) 60 (d) 61
  9. 9.What comes next? 13, 19, 16, 22, 19, 25, ? (a) 28 (b) 22 (c) 31 (d) 21
  10. 10.What comes next? 6, 10, 14, 18, 22, ? (a) 26 (b) 25 (c) 30 (d) 27
  11. 11.What comes next? 21, 18, 15, 12, 9, ? (a) 5 (b) 6 (c) 7 (d) 3
  12. 12.What comes next? 13, 22, 19, 28, 25, 34, ? (a) 37 (b) 30 (c) 43 (d) 31
  13. 13.What comes next? 11, 23, 35, 47, 59, ? (a) 70 (b) 83 (c) 71 (d) 72
  14. 14.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 5 (c) 4 (d) 7
  15. 15.What comes next? 27, 25, 23, 21, 19, ? (a) 18 (b) 16 (c) 15 (d) 17
  16. 16.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  17. 17.What comes next? 23, 25, 27, 29, 31, ? (a) 35 (b) 34 (c) 33 (d) 32
  18. 18.What comes next? 7, 15, 23, 31, 39, ? (a) 46 (b) 55 (c) 48 (d) 47
  19. 19.What comes next? 29, 26, 23, 20, 17, ? (a) 13 (b) 11 (c) 15 (d) 14
  20. 20.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 30 (b) 29 (c) 32 (d) 36
  21. 21.What comes next? 3, 7, 11, 15, 19, ? (a) 22 (b) 27 (c) 23 (d) 24
  22. 22.What comes next? 19, 22, 25, 28, 31, ? (a) 35 (b) 37 (c) 34 (d) 33
  23. 23.What comes next? 20, 22, 25, 29, 34, ? (a) 40 (b) 39 (c) 41 (d) 42
  24. 24.What comes next? 53, 48, 43, 38, 33, ? (a) 23 (b) 27 (c) 28 (d) 29
  25. 25.What comes next? 11, 20, 29, 38, 47, ? (a) 55 (b) 57 (c) 56 (d) 65
  26. 26.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 40 (c) 39 (d) 38
  27. 27.What comes next? 17, 20, 23, 26, 29, ? (a) 31 (b) 32 (c) 33 (d) 35
  28. 28.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 20 (c) 22 (d) 21
  29. 29.What comes next? 9, 13, 11, 15, 13, 17, ? (a) 21 (b) 15 (c) 19 (d) 14
  30. 30.What comes next? 3, 9, 8, 14, 13, 19, ? (a) 25 (b) 18 (c) 17 (d) 20
  31. 31.What comes next? 5, 13, 21, 29, 37, ? (a) 53 (b) 44 (c) 46 (d) 45
  32. 32.What comes next? 10, 22, 34, 46, 58, ? (a) 69 (b) 82 (c) 71 (d) 70
  33. 33.What comes next? 6, 8, 10, 12, 14, ? (a) 18 (b) 15 (c) 16 (d) 17
  34. 34.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 44 (c) 42 (d) 43
  35. 35.What comes next? 2, 9, 8, 15, 14, 21, ? (a) 22 (b) 20 (c) 28 (d) 19
  36. 36.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 31 (c) 30 (d) 29
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  38. 38.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 23 (c) 24 (d) 25
  39. 39.What comes next? 20, 24, 29, 35, 42, ? (a) 52 (b) 51 (c) 50 (d) 49
  40. 40.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 7 (c) 5 (d) 4

Answer key

  1. 162
  2. 243
  3. 81
  4. 48
  5. 27
  6. 30
  7. 10
  8. 60
  9. 22
  10. 26
  11. 6
  12. 31
  13. 71
  14. 5
  15. 17
  16. 96
  17. 33
  18. 47
  19. 14
  20. 30
  21. 23
  22. 34
  23. 40
  24. 28
  25. 56
  26. 38
  27. 32
  28. 21
  29. 15
  30. 18
  31. 45
  32. 70
  33. 16
  34. 43
  35. 20
  36. 30
  37. 64
  38. 23
  39. 50
  40. 5

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