CAAT - Canadian Adult Achievement Solving Math Word Problems Questions and Answers — Questions and Answers
Question 1: Maria wants to install new flooring in a rectangular room that is 5 meters long and 4 meters wide. The flooring costs $22.50 per square meter. What will be the total cost for the flooring material?
- $202.50
- $450.00 (Correct answer)
- $405.00
- $45.00
Correct answer: $450.00
First, calculate the area of the room by multiplying its length by its width (5 m * 4 m = 20 square meters). Then, multiply the total area by the cost per square meter to find the total cost (20 sq m * $22.50/sq m = $450.00).
Question 2: A student scored 85, 92, and 78 on their first three tests. Which of the following calculations must be performed to find the score needed on a fourth test to achieve an average of exactly 87?
- (85 + 92 + 78) / 3
- (87 * 4) - (85 + 92 + 78) (Correct answer)
- (85 + 92 + 78 + 87) / 4
- 87 * 3 - (85 + 92 + 78)
Correct answer: (87 * 4) - (85 + 92 + 78)
To find the required score, first determine the total sum needed for four tests to average 87 (87 * 4). Then, subtract the sum of the first three scores (85 + 92 + 78) from that total. The result is the score needed on the fourth test.
Question 3: A jacket originally priced at $150.00 is on sale for 20% off. If the sales tax is 13% (applied to the sale price), what is the final cost of the jacket?
- $120.00
- $139.50
- $104.40
- $135.60 (Correct answer)
Correct answer: $135.60
First, calculate the discount amount: $150.00 * 0.20 = $30.00. Subtract the discount to find the sale price: $150.00 - $30.00 = $120.00. Next, calculate the tax on the sale price: $120.00 * 0.13 = $15.60. Finally, add the tax to the sale price for the final cost: $120.00 + $15.60 = $135.60.
Question 4: Three partners, Alex, Ben, and Chloe, share profits in a ratio of 2:3:5. If the total profit for a project is $45,000, how much money will Chloe receive?
- $22,500 (Correct answer)
- $4,500
- $13,500
- $9,000
Correct answer: $22,500
First, find the total number of parts in the ratio: 2 + 3 + 5 = 10 parts. Next, divide the total profit by the total number of parts to find the value of one part: $45,000 / 10 = $4,500. Finally, multiply the value of one part by the number of parts Chloe receives (5): $4,500 * 5 = $22,500.
Question 5: A car's gas tank was 3/4 full. After driving some distance, the tank is now 1/4 full. If the car used 30 litres of gas, what is the total capacity of the gas tank?
- 45 litres
- 50 litres
- 60 litres (Correct answer)
- 75 litres
Correct answer: 60 litres
First, determine the fraction of the tank that was used: 3/4 - 1/4 = 2/4, which simplifies to 1/2. This means that 1/2 of the tank's capacity is equal to 30 litres. To find the full capacity (the whole tank), multiply the amount used by 2: 30 litres * 2 = 60 litres.
Question 6: Jamal buys 3 kilograms of apples at $4.50 per kg and 2 kilograms of bananas at $1.80 per kg. If he pays with a $20 bill, how much change should he receive?
- $17.10
- $2.90 (Correct answer)
- $6.50
- $16.40
Correct answer: $2.90
This is a multi-step problem. First, calculate the cost of the apples (3 kg * $4.50/kg = $13.50). Next, calculate the cost of the bananas (2 kg * $1.80/kg = $3.60). Add the two costs together for the total bill ($13.50 + $3.60 = $17.10). Finally, subtract the total cost from the amount paid to find the change ($20.00 - $17.10 = $2.90).
CAAT - Canadian Adult Achievement Solving Math Word Problems Questions and Answers
Maria wants to install new flooring in a rectangular room that is 5 meters long and 4 meters wide.
The flooring costs $22.50 per square meter.
What will be the total cost for the flooring material?