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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 237 · 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) 81 (b) 90 (c) 45 (d) 72
  2. 2.What comes next? 9, 19, 29, 39, 49, ? (a) 60 (b) 69 (c) 58 (d) 59
  3. 3.What comes next? 2, 10, 3, 11, 4, 12, ? (a) 19 (b) 4 (c) 20 (d) 5
  4. 4.What comes next? 12, 18, 14, 20, 16, 22, ? (a) 28 (b) 26 (c) 18 (d) 17
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 90 (d) 180
  6. 6.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 16 (c) 19 (d) 18
  7. 7.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  8. 8.What comes next? 2, 10, 9, 17, 16, 24, ? (a) 32 (b) 23 (c) 22 (d) 25
  9. 9.What comes next? 5, 11, 6, 12, 7, 13, ? (a) 8 (b) 19 (c) 7 (d) 18
  10. 10.What comes next? 13, 25, 37, 49, 61, ? (a) 74 (b) 73 (c) 72 (d) 85
  11. 11.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 12 (b) 15 (c) 18 (d) 13
  12. 12.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  13. 13.What comes next? 15, 23, 16, 24, 17, 25, ? (a) 33 (b) 32 (c) 17 (d) 18
  14. 14.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 41 (c) 44 (d) 42
  15. 15.What comes next? 9, 15, 14, 20, 19, 25, ? (a) 26 (b) 24 (c) 23 (d) 31
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  17. 17.What comes next? 44, 37, 30, 23, 16, ? (a) 8 (b) 10 (c) 2 (d) 9
  18. 18.What comes next? 57, 50, 43, 36, 29, ? (a) 22 (b) 23 (c) 15 (d) 21
  19. 19.What comes next? 18, 22, 27, 33, 40, ? (a) 49 (b) 47 (c) 48 (d) 50
  20. 20.What comes next? 54, 46, 38, 30, 22, ? (a) 6 (b) 15 (c) 14 (d) 13
  21. 21.What comes next? 8, 10, 13, 17, 22, ? (a) 28 (b) 30 (c) 29 (d) 27
  22. 22.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 23 (b) 30 (c) 24 (d) 26
  23. 23.What comes next? 14, 23, 19, 28, 24, 33, ? (a) 28 (b) 37 (c) 29 (d) 42
  24. 24.What comes next? 24, 20, 16, 12, 8, ? (a) 6 (b) 4 (c) 3 (d) 5
  25. 25.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 6 (c) 5 (d) 2
  26. 26.What comes next? 9, 18, 17, 26, 25, 34, ? (a) 43 (b) 35 (c) 33 (d) 32
  27. 27.What comes next? 6, 9, 13, 18, 24, ? (a) 30 (b) 33 (c) 32 (d) 31
  28. 28.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 36 (c) 31 (d) 30
  29. 29.What comes next? 40, 33, 26, 19, 12, ? (a) 7 (b) 6 (c) 4 (d) 5
  30. 30.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 34 (c) 37 (d) 36
  31. 31.What comes next? 27, 37, 47, 57, 67, ? (a) 76 (b) 87 (c) 77 (d) 78
  32. 32.What comes next? 58, 52, 46, 40, 34, ? (a) 29 (b) 27 (c) 28 (d) 22
  33. 33.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 13 (b) 17 (c) 12 (d) 15
  34. 34.What comes next? 21, 19, 17, 15, 13, ? (a) 11 (b) 10 (c) 12 (d) 9
  35. 35.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 4 (c) 6 (d) 5
  36. 36.What comes next? 45, 37, 29, 21, 13, ? (a) 5 (b) 7 (c) 6 (d) 4
  37. 37.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  38. 38.What comes next? 6, 15, 12, 21, 18, 27, ? (a) 36 (b) 30 (c) 24 (d) 23
  39. 39.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 34 (c) 36 (d) 33
  40. 40.What comes next? 7, 11, 15, 19, 23, ? (a) 26 (b) 28 (c) 27 (d) 31

Answer key

  1. 81
  2. 59
  3. 5
  4. 18
  5. 162
  6. 19
  7. 28
  8. 23
  9. 8
  10. 73
  11. 13
  12. 96
  13. 18
  14. 42
  15. 24
  16. 64
  17. 9
  18. 22
  19. 48
  20. 14
  21. 28
  22. 24
  23. 29
  24. 4
  25. 5
  26. 33
  27. 31
  28. 31
  29. 5
  30. 35
  31. 77
  32. 28
  33. 13
  34. 11
  35. 5
  36. 5
  37. 32
  38. 24
  39. 34
  40. 27

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