CAAT - Canadian Adult Achievement Mathematical Number Operations Questions and Answers — Questions and Answers
Question 1: A school is organizing a field trip for 124 students. Each bus can hold a maximum of 30 students. What is the minimum number of buses required to transport all the students?
- 4
- 4.13
- 5 (Correct answer)
- 6
Correct answer: 5
To find the number of buses, divide the total number of students by the capacity of one bus: 124 ÷ 30 = 4.13... This means 4 buses will be completely full, but there will be a remainder of 4 students (124 - (4 × 30) = 4). Since all students must be transported, an additional bus is required for the remaining 4 students. Therefore, a total of 5 buses are needed.
Question 2: A customer buys 3 notebooks at $2.25 each and 5 pens at $1.50 each. If they pay with a $20.00 bill, how much change should they receive?
- $5.75 (Correct answer)
- $14.25
- $6.25
- $4.25
Correct answer: $5.75
First, calculate the total cost of the notebooks: 3 × $2.25 = $6.75. Next, calculate the total cost of the pens: 5 × $1.50 = $7.50. Add these amounts to find the total cost of all items: $6.75 + $7.50 = $14.25. Finally, subtract the total cost from the amount paid to find the change: $20.00 - $14.25 = $5.75.
Question 3: Which of the following values is equivalent to 5/8?
- 0.58
- 5.8%
- 0.0625
- 62.5% (Correct answer)
Correct answer: 62.5%
To convert the fraction 5/8 to a decimal, divide the numerator (5) by the denominator (8), which equals 0.625. To convert the decimal 0.625 to a percentage, multiply by 100 and add a percent sign: 0.625 × 100 = 62.5%.
Question 4: A carpenter has a piece of wood that is 4 ½ feet long. They cut off a piece that is 1 ¾ feet long. How much wood is left?
- 3 ¼ feet
- 2 ¾ feet (Correct answer)
- 2 ½ feet
- 6 ¼ feet
Correct answer: 2 ¾ feet
To solve this, first convert the mixed numbers to improper fractions: 4 ½ becomes 9/2 and 1 ¾ becomes 7/4. To subtract, find a common denominator, which is 4. Convert 9/2 to 18/4. The calculation is now 18/4 - 7/4 = 11/4. Finally, convert the improper fraction 11/4 back to a mixed number, which is 2 ¾ feet.
Question 5: A jacket originally priced at $150.00 is on sale for 30% off. What is the final price of the jacket before tax?
- $120.00
- $45.00
- $195.00
- $105.00 (Correct answer)
Correct answer: $105.00
The discount amount is 30% of $150.00. To calculate this, multiply $150.00 by 0.30, which equals $45.00. This is the amount saved. To find the final sale price, subtract the discount from the original price: $150.00 - $45.00 = $105.00.
Question 6: What is the value of the expression: 3 × (8 - 4) + 10 ÷ 2 ?
- 15
- 21
- 17 (Correct answer)
- 25
Correct answer: 17
According to the order of operations (BEDMAS/PEMDAS), first solve the operation inside the Brackets: (8 - 4) = 4. The expression becomes 3 × 4 + 10 ÷ 2. Next, perform Multiplication and Division from left to right: 3 × 4 = 12 and 10 ÷ 2 = 5. The expression is now 12 + 5. Finally, perform the Addition: 12 + 5 = 17.
A school is organizing a field trip for 124 students.
Each bus can hold a maximum of 30 students.
What is the minimum number of buses required to transport all the students?