FUVEST (University of São Paulo Entrance Exam) · Mathematics and Physics

Mathematics: Ratios and Statistics

13 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 13 questions

  1. On a map with scale 1:100000, two towns are 3 cm apart. What is the real distance?
  2. On a map with scale 1:50000, two towns are 8 cm apart. What is the real distance?
  3. 5 notebooks cost $20. How much do 10 notebooks cost at the same price?
  4. What is the mean of the numbers 8, 5, 6, 6, 10?
  5. 100 mL of a 10% sugar solution are mixed with 100 mL of a 40% sugar solution. What is the concentration of the mixture?
  6. Five numbers have a mean of 13. When one of them, 25, is removed, what is the mean of the remaining four?
  7. Five numbers have a mean of 9. When one of them, 17, is removed, what is the mean of the remaining four?
  8. Five numbers have a mean of 10. When one of them, 22, is removed, what is the mean of the remaining four?
  9. What is the median of the data set 17, 22, 21, 26, 29, 22, 18?
  10. What is the median of the data set 15, 9, 11, 30, 22, 13, 8?
  11. $500 is shared between two people in the ratio 3:7. How much does the person with the larger share receive?
  12. 4 workers finish a job in 12 days. How many days would 12 workers need, working at the same pace?
  13. Five numbers have a mean of 8. When one of them, 16, is removed, what is the mean of the remaining four?

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