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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 135 · 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? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  2. 2.What comes next? 5, 14, 11, 20, 17, 26, ? (a) 22 (b) 29 (c) 35 (d) 23
  3. 3.What comes next? 35, 33, 31, 29, 27, ? (a) 24 (b) 26 (c) 25 (d) 23
  4. 4.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 35 (c) 36 (d) 37
  5. 5.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 36 (c) 37 (d) 38
  6. 6.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 26 (c) 24 (d) 25
  7. 7.What comes next? 60, 53, 46, 39, 32, ? (a) 18 (b) 26 (c) 25 (d) 24
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 192 (d) 193
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  10. 10.What comes next? 30, 32, 34, 36, 38, ? (a) 42 (b) 39 (c) 41 (d) 40
  11. 11.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 42 (c) 44 (d) 45
  12. 12.What comes next? 13, 22, 14, 23, 15, 24, ? (a) 15 (b) 32 (c) 33 (d) 16
  13. 13.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 8 (c) 10 (d) 2
  14. 14.What comes next? 25, 32, 39, 46, 53, ? (a) 59 (b) 67 (c) 60 (d) 61
  15. 15.What comes next? 7, 16, 9, 18, 11, 20, ? (a) 27 (b) 12 (c) 29 (d) 13
  16. 16.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 11 (b) 16 (c) 17 (d) 12
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  18. 18.What comes next? 4, 9, 8, 13, 12, 17, ? (a) 18 (b) 15 (c) 22 (d) 16
  19. 19.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 5 (c) 6 (d) 4
  20. 20.What comes next? 54, 45, 36, 27, 18, ? (a) 9 (b) 11 (c) 10 (d) 8
  21. 21.What comes next? 2, 10, 18, 26, 34, ? (a) 50 (b) 43 (c) 42 (d) 41
  22. 22.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 25 (b) 30 (c) 26 (d) 28
  23. 23.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 33 (c) 31 (d) 30
  24. 24.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 97 (d) 120
  25. 25.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 29 (c) 28 (d) 30
  26. 26.What comes next? 69, 60, 51, 42, 33, ? (a) 23 (b) 25 (c) 15 (d) 24
  27. 27.What comes next? 28, 38, 48, 58, 68, ? (a) 79 (b) 88 (c) 77 (d) 78
  28. 28.What comes next? 29, 24, 19, 14, 9, ? (a) 3 (b) 4 (c) 5 (d) 6
  29. 29.What comes next? 6, 11, 8, 13, 10, 15, ? (a) 18 (b) 11 (c) 12 (d) 20
  30. 30.What comes next? 11, 21, 31, 41, 51, ? (a) 62 (b) 60 (c) 61 (d) 71
  31. 31.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 25 (c) 27 (d) 26
  32. 32.What comes next? 19, 24, 29, 34, 39, ? (a) 45 (b) 43 (c) 49 (d) 44
  33. 33.What comes next? 3, 10, 5, 12, 7, 14, ? (a) 19 (b) 9 (c) 8 (d) 21
  34. 34.What comes next? 14, 20, 15, 21, 16, 22, ? (a) 16 (b) 17 (c) 27 (d) 28
  35. 35.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 25 (b) 23 (c) 20 (d) 21
  36. 36.What comes next? 7, 12, 8, 13, 9, 14, ? (a) 9 (b) 18 (c) 19 (d) 10
  37. 37.What comes next? 51, 43, 35, 27, 19, ? (a) 3 (b) 10 (c) 11 (d) 12
  38. 38.What comes next? 52, 45, 38, 31, 24, ? (a) 16 (b) 10 (c) 17 (d) 18
  39. 39.What comes next? 20, 28, 22, 30, 24, 32, ? (a) 25 (b) 40 (c) 38 (d) 26
  40. 40.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 31 (c) 32 (d) 30

Answer key

  1. 243
  2. 23
  3. 25
  4. 36
  5. 37
  6. 25
  7. 25
  8. 192
  9. 32
  10. 40
  11. 43
  12. 16
  13. 9
  14. 60
  15. 13
  16. 12
  17. 64
  18. 16
  19. 5
  20. 9
  21. 42
  22. 26
  23. 31
  24. 96
  25. 28
  26. 24
  27. 78
  28. 4
  29. 12
  30. 61
  31. 26
  32. 44
  33. 9
  34. 17
  35. 21
  36. 10
  37. 11
  38. 17
  39. 26
  40. 30

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