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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 79 · 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? 17, 28, 39, 50, 61, ? (a) 72 (b) 73 (c) 71 (d) 83
  2. 2.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  3. 3.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 32 (c) 33 (d) 35
  4. 4.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  5. 5.What comes next? 3, 11, 5, 13, 7, 15, ? (a) 21 (b) 9 (c) 8 (d) 23
  6. 6.What comes next? 35, 32, 29, 26, 23, ? (a) 17 (b) 19 (c) 20 (d) 21
  7. 7.What comes next? 31, 26, 21, 16, 11, ? (a) 1 (b) 7 (c) 5 (d) 6
  8. 8.What comes next? 17, 27, 37, 47, 57, ? (a) 68 (b) 67 (c) 77 (d) 66
  9. 9.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 36 (c) 33 (d) 35
  10. 10.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 31 (c) 35 (d) 32
  11. 11.What comes next? 5, 13, 7, 15, 9, 17, ? (a) 23 (b) 25 (c) 10 (d) 11
  12. 12.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 18 (b) 16 (c) 21 (d) 15
  13. 13.What comes next? 25, 30, 35, 40, 45, ? (a) 49 (b) 50 (c) 55 (d) 51
  14. 14.What comes next? 12, 14, 16, 18, 20, ? (a) 22 (b) 24 (c) 21 (d) 23
  15. 15.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 31 (d) 34
  16. 16.What comes next? 9, 15, 14, 20, 19, 25, ? (a) 31 (b) 24 (c) 23 (d) 26
  17. 17.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 26 (c) 23 (d) 24
  18. 18.What comes next? 25, 27, 29, 31, 33, ? (a) 35 (b) 34 (c) 36 (d) 37
  19. 19.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 21 (c) 23 (d) 22
  20. 20.What comes next? 40, 33, 26, 19, 12, ? (a) 7 (b) 6 (c) 5 (d) 4
  21. 21.What comes next? 6, 9, 12, 15, 18, ? (a) 20 (b) 21 (c) 22 (d) 24
  22. 22.What comes next? 23, 21, 19, 17, 15, ? (a) 11 (b) 12 (c) 13 (d) 14
  23. 23.What comes next? 49, 41, 33, 25, 17, ? (a) 10 (b) 8 (c) 1 (d) 9
  24. 24.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  25. 25.What comes next? 15, 18, 21, 24, 27, ? (a) 33 (b) 31 (c) 29 (d) 30
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 45 (d) 72
  27. 27.What comes next? 8, 16, 10, 18, 12, 20, ? (a) 28 (b) 13 (c) 14 (d) 26
  28. 28.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  29. 29.What comes next? 20, 32, 44, 56, 68, ? (a) 92 (b) 80 (c) 81 (d) 79
  30. 30.What comes next? 4, 13, 22, 31, 40, ? (a) 50 (b) 49 (c) 58 (d) 48
  31. 31.What comes next? 9, 18, 15, 24, 21, 30, ? (a) 39 (b) 26 (c) 33 (d) 27
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  33. 33.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 31 (b) 30 (c) 33 (d) 38
  34. 34.What comes next? 50, 44, 38, 32, 26, ? (a) 21 (b) 14 (c) 20 (d) 19
  35. 35.What comes next? 10, 19, 28, 37, 46, ? (a) 56 (b) 64 (c) 55 (d) 54
  36. 36.What comes next? 30, 42, 54, 66, 78, ? (a) 91 (b) 102 (c) 90 (d) 89
  37. 37.What comes next? 8, 12, 10, 14, 12, 16, ? (a) 13 (b) 14 (c) 18 (d) 20
  38. 38.What comes next? 3, 8, 13, 18, 23, ? (a) 27 (b) 28 (c) 33 (d) 29
  39. 39.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 17 (c) 18 (d) 20
  40. 40.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 3 (c) 4 (d) 2

Answer key

  1. 72
  2. 192
  3. 33
  4. 64
  5. 9
  6. 20
  7. 6
  8. 67
  9. 34
  10. 31
  11. 11
  12. 16
  13. 50
  14. 22
  15. 32
  16. 24
  17. 24
  18. 35
  19. 21
  20. 5
  21. 21
  22. 13
  23. 9
  24. 96
  25. 30
  26. 81
  27. 14
  28. 32
  29. 80
  30. 49
  31. 27
  32. 162
  33. 31
  34. 20
  35. 55
  36. 90
  37. 14
  38. 28
  39. 18
  40. 3

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