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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 173 · 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? 16, 13, 10, 7, 4, ? (a) 3 (b) 2 (c) 1 (d) 4
  2. 2.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  3. 3.What comes next? 24, 26, 28, 30, 32, ? (a) 35 (b) 33 (c) 36 (d) 34
  4. 4.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 62 (c) 60 (d) 61
  5. 5.What comes next? 11, 14, 17, 20, 23, ? (a) 25 (b) 27 (c) 26 (d) 29
  6. 6.What comes next? 29, 39, 49, 59, 69, ? (a) 78 (b) 89 (c) 80 (d) 79
  7. 7.What comes next? 50, 44, 38, 32, 26, ? (a) 14 (b) 21 (c) 19 (d) 20
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  9. 9.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 17 (b) 12 (c) 18 (d) 13
  10. 10.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 11 (b) 12 (c) 16 (d) 17
  11. 11.What comes next? 12, 16, 14, 18, 16, 20, ? (a) 17 (b) 24 (c) 22 (d) 18
  12. 12.What comes next? 17, 19, 21, 23, 25, ? (a) 29 (b) 28 (c) 26 (d) 27
  13. 13.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 28 (c) 29 (d) 31
  14. 14.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  15. 15.What comes next? 6, 10, 14, 18, 22, ? (a) 27 (b) 25 (c) 30 (d) 26
  16. 16.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 19 (b) 15 (c) 14 (d) 22
  17. 17.What comes next? 8, 12, 16, 20, 24, ? (a) 27 (b) 32 (c) 29 (d) 28
  18. 18.What comes next? 16, 22, 19, 25, 22, 28, ? (a) 24 (b) 25 (c) 34 (d) 31
  19. 19.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 8 (b) 9 (c) 4 (d) 3
  20. 20.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 14 (c) 15 (d) 9
  21. 21.What comes next? 7, 13, 10, 16, 13, 19, ? (a) 15 (b) 22 (c) 16 (d) 25
  22. 22.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 24 (c) 23 (d) 22
  23. 23.What comes next? 20, 32, 44, 56, 68, ? (a) 79 (b) 80 (c) 81 (d) 92
  24. 24.What comes next? 4, 11, 10, 17, 16, 23, ? (a) 24 (b) 21 (c) 30 (d) 22
  25. 25.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 8 (c) 7 (d) 3
  26. 26.What comes next? 13, 18, 23, 28, 33, ? (a) 38 (b) 39 (c) 43 (d) 37
  27. 27.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 144 (d) 90
  28. 28.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 31 (c) 30 (d) 33
  29. 29.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 19 (c) 20 (d) 18
  30. 30.What comes next? 26, 23, 20, 17, 14, ? (a) 10 (b) 11 (c) 8 (d) 12
  31. 31.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 25 (b) 21 (c) 27 (d) 20
  32. 32.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  33. 33.What comes next? 13, 11, 9, 7, 5, ? (a) 2 (b) 1 (c) 3 (d) 4
  34. 34.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 3 (c) 8 (d) 7
  35. 35.What comes next? 26, 22, 18, 14, 10, ? (a) 2 (b) 5 (c) 6 (d) 7
  36. 36.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 37 (c) 38 (d) 39
  37. 37.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 20 (c) 21 (d) 19
  38. 38.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 33 (c) 31 (d) 30
  39. 39.What comes next? 37, 32, 27, 22, 17, ? (a) 13 (b) 7 (c) 11 (d) 12
  40. 40.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 30 (c) 32 (d) 31

Answer key

  1. 1
  2. 81
  3. 34
  4. 61
  5. 26
  6. 79
  7. 20
  8. 64
  9. 13
  10. 12
  11. 18
  12. 27
  13. 29
  14. 96
  15. 26
  16. 15
  17. 28
  18. 25
  19. 4
  20. 14
  21. 16
  22. 22
  23. 80
  24. 22
  25. 7
  26. 38
  27. 162
  28. 31
  29. 18
  30. 11
  31. 21
  32. 192
  33. 3
  34. 8
  35. 6
  36. 38
  37. 19
  38. 31
  39. 12
  40. 30

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