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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 96 · 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? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  2. 2.What comes next? 2, 7, 12, 17, 22, ? (a) 32 (b) 27 (c) 26 (d) 28
  3. 3.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 31 (c) 32 (d) 33
  4. 4.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 34 (c) 35 (d) 32
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  6. 6.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 8 (b) 9 (c) 13 (d) 14
  7. 7.What comes next? 7, 11, 15, 19, 23, ? (a) 31 (b) 26 (c) 27 (d) 28
  8. 8.What comes next? 13, 17, 14, 18, 15, 19, ? (a) 22 (b) 23 (c) 16 (d) 15
  9. 9.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 12 (c) 13 (d) 8
  10. 10.What comes next? 17, 25, 33, 41, 49, ? (a) 57 (b) 65 (c) 56 (d) 58
  11. 11.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 47 (c) 46 (d) 45
  12. 12.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 34 (c) 33 (d) 32
  13. 13.What comes next? 33, 29, 25, 21, 17, ? (a) 9 (b) 12 (c) 14 (d) 13
  14. 14.What comes next? 7, 13, 9, 15, 11, 17, ? (a) 12 (b) 21 (c) 13 (d) 23
  15. 15.What comes next? 18, 16, 14, 12, 10, ? (a) 7 (b) 9 (c) 6 (d) 8
  16. 16.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 5 (c) 3 (d) 4
  17. 17.What comes next? 31, 28, 25, 22, 19, ? (a) 17 (b) 16 (c) 13 (d) 15
  18. 18.What comes next? 7, 12, 17, 22, 27, ? (a) 31 (b) 32 (c) 33 (d) 37
  19. 19.What comes next? 20, 24, 29, 35, 42, ? (a) 52 (b) 49 (c) 50 (d) 51
  20. 20.What comes next? 23, 26, 29, 32, 35, ? (a) 39 (b) 41 (c) 37 (d) 38
  21. 21.What comes next? 35, 30, 25, 20, 15, ? (a) 11 (b) 9 (c) 10 (d) 5
  22. 22.What comes next? 15, 22, 20, 27, 25, 32, ? (a) 39 (b) 29 (c) 34 (d) 30
  23. 23.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 27 (d) 25
  24. 24.What comes next? 20, 32, 44, 56, 68, ? (a) 92 (b) 81 (c) 79 (d) 80
  25. 25.What comes next? 13, 17, 22, 28, 35, ? (a) 45 (b) 43 (c) 44 (d) 42
  26. 26.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 24 (c) 25 (d) 28
  27. 27.What comes next? 56, 50, 44, 38, 32, ? (a) 27 (b) 26 (c) 25 (d) 20
  28. 28.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 14 (b) 9 (c) 12 (d) 10
  29. 29.What comes next? 53, 48, 43, 38, 33, ? (a) 28 (b) 29 (c) 23 (d) 27
  30. 30.What comes next? 7, 9, 11, 13, 15, ? (a) 19 (b) 17 (c) 18 (d) 16
  31. 31.What comes next? 49, 42, 35, 28, 21, ? (a) 13 (b) 14 (c) 7 (d) 15
  32. 32.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 32 (d) 33
  33. 33.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 19 (c) 18 (d) 20
  34. 34.What comes next? 8, 12, 10, 14, 12, 16, ? (a) 13 (b) 14 (c) 20 (d) 18
  35. 35.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 29 (b) 16 (c) 24 (d) 15
  36. 36.What comes next? 4, 7, 10, 13, 16, ? (a) 19 (b) 18 (c) 20 (d) 22
  37. 37.What comes next? 65, 56, 47, 38, 29, ? (a) 11 (b) 21 (c) 19 (d) 20
  38. 38.What comes next? 55, 50, 45, 40, 35, ? (a) 29 (b) 31 (c) 25 (d) 30
  39. 39.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 46 (c) 49 (d) 45
  40. 40.What comes next? 10, 18, 11, 19, 12, 20, ? (a) 12 (b) 28 (c) 27 (d) 13

Answer key

  1. 81
  2. 27
  3. 31
  4. 33
  5. 243
  6. 9
  7. 27
  8. 16
  9. 12
  10. 57
  11. 46
  12. 32
  13. 13
  14. 13
  15. 8
  16. 5
  17. 16
  18. 32
  19. 50
  20. 38
  21. 10
  22. 30
  23. 25
  24. 80
  25. 43
  26. 25
  27. 26
  28. 10
  29. 28
  30. 17
  31. 14
  32. 32
  33. 19
  34. 14
  35. 16
  36. 19
  37. 20
  38. 30
  39. 45
  40. 13

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