Basic Education Certificate Examination · Mathematics

Statistics, Probability and Everyday Arithmetic

35 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 35 questions

  1. The marks obtained by seven pupils in a science test are: 12, 15, 18, 14, 16, 15, and 15. What is the mode?
  2. Find the median of the following set of numbers: 8, 12, 5, 15, 22, 9, 17.
  3. Calculate the arithmetic mean of the scores: 6, 8, 11, 14, and 16.
  4. The mean of four numbers is 18. If three of the numbers are 14, 16, and 22, find the fourth number.
  5. What is the range of the test scores: 24, 38, 19, 45, 52, 31, and 28?
  6. A fair six-sided die is rolled once. What is the probability of obtaining a prime number?
  7. A bag contains 5 red balls, 3 blue balls, and 2 green balls. A ball is drawn at random. What is the probability that it is blue?
  8. A letter is chosen at random from the word 'MATHEMATICS'. What is the probability that the chosen letter is 'M'?
  9. In a pie chart representing 120 pupils, 30 pupils chose football. What angle sector represents football?
  10. A trader bought a carton of milk for GH₵ 120.00 and sold it for GH₵ 150.00. Calculate her percentage profit.
  11. A shopkeeper bought a bicycle for GH₵ 500.00 and later sold it at a loss of 15%. What was the selling price?
  12. Calculate the simple interest on GH₵ 800.00 invested for 3 years at a rate of 5% per annum.
  13. What principal sum of money will yield a simple interest of GH₵ 90.00 in 2 years at 6% per annum?
  14. A piece of cloth with a marked price of GH₵ 80.00 was sold at a discount of 10%. How much did the buyer pay?
  15. An insurance agent earns a commission of 4% on every policy sold. If she sells a policy worth GH₵ 15,000, how much does she earn?
  16. Share GH₵ 360.00 between Kwame and Kofi in the ratio 4 : 5. How much does Kofi receive?
  17. If the exchange rate is US$ 1.00 = GH₵ 12.00, how many Ghana Cedis will an exporter receive for US$ 450.00?
  18. The population of a school increased from 400 to 480 pupils in one year. What was the percentage increase?
  19. A car travels a distance of 180 km in 2 hours and 30 minutes. What is its average speed in km/h?
  20. A rectangular tank of base 2 m by 1.5 m is filled with water to a depth of 0.8 m. How many litres of water does it hold?
  21. A man leaves 1/3 of his estate to his wife and 2/5 to his son, with the rest to a hospital. What fraction goes to the hospital?
  22. If 8 oranges cost GH₵ 12.00, what will be the cost of 20 oranges at the same rate?
  23. In an examination, 85% of candidates passed. If 45 candidates failed, how many candidates sat for the exam?
  24. A worker's monthly salary of GH₵ 1,800 is taxed at a flat rate of 12%. What is his net take-home pay?
  25. Four children in a family have ages of 8, 11, 13, and 16. What will be their mean age in 4 years time?
  26. Two dice are thrown simultaneously. What is the probability of rolling a total sum of 7?
  27. A vendor sells 40 exercise books at GH₵ 5.00 each, making a total profit of GH₵ 50.00. What was her cost per book?
  28. In a class of 50 pupils, 28 are girls. What is the ratio of boys to girls in its simplest form?
  29. A recipe uses 250 g of sugar for every 600 g of flour. How much sugar is needed for 1.5 kg of flour?
  30. What is the probability of selecting a vowel at random from the English alphabet (26 letters)?
  31. A simple bar chart shows rainfall for 4 months: 40 mm, 60 mm, 80 mm, and 100 mm. What was the average monthly rainfall?
  32. A sum of money doubled itself in 5 years under simple interest. What was the annual interest rate?
  33. In a survey of 80 people, 48 preferred tea and 32 preferred coffee. What percentage preferred tea?
  34. A train left Accra at 08:45 and arrived in Kumasi at 13:15 on the same day. How long did the journey take?
  35. A family spends GH₵ 450.00 on food out of a monthly budget of GH₵ 1,800.00. What fraction of the budget is spent on food?

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