CAAT - Canadian Adult Achievement Fractions, Decimals, and Percentages Questions and Answers — Questions and Answers
Question 1: A winter coat is originally priced at $150. It is on sale for 30% off. What is the final sale price of the coat?
- a) $45.00
- b) $120.00
- c) $105.00 (Correct answer)
- d) $115.00
Correct answer: c) $105.00
To find the sale price, first calculate the discount amount. Convert the percentage to a decimal (30% = 0.30) and multiply by the original price ($150 * 0.30 = $45). Then, subtract the discount from the original price ($150 - $45 = $105).
Question 2: A baker uses 3/8 of a bag of flour for a recipe. What percentage of the bag of flour did the baker use?
- a) 37.5% (Correct answer)
- b) 38%
- c) 3.8%
- d) 0.375%
Correct answer: a) 37.5%
To convert a fraction to a percentage, divide the numerator by the denominator and then multiply the result by 100. 3 divided by 8 equals 0.375. Then, 0.375 multiplied by 100 equals 37.5%.
Question 3: Which of the following lists shows the numbers in order from least to greatest?
- a) 0.65, 3/5, 62%
- b) 3/5, 0.65, 62%
- c) 62%, 0.65, 3/5
- d) 3/5, 62%, 0.65 (Correct answer)
Correct answer: d) 3/5, 62%, 0.65
To compare the numbers, convert them all to the same format, such as decimals. 3/5 = 0.60. 62% = 0.62. The decimal 0.65 is already in the correct format. Now, ordering them from least to greatest gives: 0.60, 0.62, 0.65. This corresponds to the original numbers: 3/5, 62%, 0.65.
Question 4: A new employee's starting salary is $40,000. After one year, they receive a raise and their new salary is $42,000. What was the percent increase of the employee's salary?
- a) 2%
- b) 5% (Correct answer)
- c) 4.8%
- d) 5.5%
Correct answer: b) 5%
The formula for percent increase is: [(New Value - Original Value) / Original Value] * 100. The increase in salary is $42,000 - $40,000 = $2,000. Divide the increase by the original salary: $2,000 / $40,000 = 0.05. Multiply by 100 to get the percentage: 0.05 * 100 = 5%.
Question 5: A mechanic has a wrench labeled 0.875 inches. Which of the following fractional sizes is equivalent to this decimal?
- a) 3/4
- b) 5/6
- c) 7/8 (Correct answer)
- d) 8/9
Correct answer: c) 7/8
To convert the decimal 0.875 to a fraction, you can write it as 875/1000. This fraction can then be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 125. 875 ÷ 125 = 7, and 1000 ÷ 125 = 8. Therefore, the fraction is 7/8.
Question 6: At a fundraising event, 240 out of 300 attendees donated. What percentage of attendees donated?
- a) 80% (Correct answer)
- b) 75%
- c) 85%
- d) 60%
Correct answer: a) 80%
To find the percentage, create a fraction representing the part over the whole (240/300). Simplify the fraction by dividing both numbers by 60, which gives 4/5. To convert 4/5 to a percentage, divide 4 by 5 to get 0.8, and then multiply by 100 to get 80%.
A winter coat is originally priced at $150.
It is on sale for 30% off.
What is the final sale price of the coat?