ENEM Brazil · Mathematics and its Technologies

Proportion, Percentages and Statistics

21 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 21 questions

  1. A shirt costs 80 reais (BRL) and is sold with a 25% discount. What is the price paid?
  2. A rice recipe for 4 people uses 300 g of rice. How much rice is needed for 10 people with the same proportions?
  3. A bus covers 150 km in 2 hours and 30 minutes at constant speed. What is its speed?
  4. A price rises by 20% and, a month later, falls by 20% of the new price. Compared with the original price, the final price is
  5. On a map with scale 1:50,000, two towns are 3.5 cm apart. What is the real distance between them?
  6. A student has marks 6, 8, 8, 10 and 13 in five tests. What is the arithmetic mean?
  7. The numbers 2, 3, 5, 7, 11 and 13 form a data set. What is its median?
  8. BRL 2,000 is invested for 4 months at 3% per month simple interest. What is the final amount?
  9. Six workers build a wall in 10 days. Working at the same pace, how many days would 15 workers need?
  10. On a drawing at scale 1:100, a room is shown as a rectangle 5 cm by 4 cm. What is the real area of the room?
  11. A city's population grew from 200,000 to 230,000 inhabitants. What was the percentage increase?
  12. Class A and Class B have the same mean mark, but Class A has a much larger standard deviation. What does this mean?
  13. An electric shower of 2,000 W is used 30 minutes a day for 30 days. The energy costs 0.80 reais per kWh. What is the monthly cost?
  14. Three litres of a 20% alcohol solution are mixed with two litres of a 45% alcohol solution. What is the alcohol concentration of the mixture?
  15. BRL 5,000 is invested at 20% per year with compound interest. After how many full years does the balance first exceed BRL 8,000?
  16. Five kilograms of beef cost 175 reais. At the same price per kilogram, how much do 8 kg cost?
  17. A student has two test marks, 6 with weight 2 and 8 with weight 3. What is the weighted mean?
  18. In a sample of 50 students, 18 prefer football. What percentage prefers football?
  19. A 1.5-litre bottle holds drinking water. How many 250 mL glasses can be filled from 3 litres?
  20. A driver goes 120 km at 60 km/h and returns the same 120 km at 40 km/h. What is the average speed for the whole trip?
  21. A store raises a price by 25%. By what percentage must the new price be lowered to return to the original price?

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