ATB - Ability to Benefit Arithmetic and Basic Math Questions and Answers — Questions and Answers
Question 1: A student is working on a project that requires three pieces of wood. The first piece needs to be 2.75 feet long, the second piece 3.5 feet long, and the third piece 1.25 feet long. If the student starts with a single board that is 8 feet long, how much wood will be left after cutting the three pieces?
- 0.5 feet (Correct answer)
- 1.5 feet
- 7.5 feet
- 0.75 feet
Correct answer: 0.5 feet
First, add the lengths of the three pieces of wood required: 2.75 + 3.5 + 1.25 = 7.5 feet. Next, subtract the total length of the cut pieces from the original board's length: 8 - 7.5 = 0.5 feet. Therefore, 0.5 feet of wood will be left.
Question 2: Which of the following values is equivalent to 3/8?
- 0.375 (Correct answer)
- 3.8
- 37.5%
- 3.75
Correct answer: 0.375
To convert a fraction to a decimal, divide the numerator by the denominator. 3 divided by 8 equals 0.375. To convert a decimal to a percentage, you multiply by 100, which would make 0.375 equal to 37.5%. The value 0.375 is the correct decimal representation.
Question 3: An employee at a bookstore is stocking shelves. She has a budget of $250 to purchase new inventory. She buys 15 books that cost $11.50 each and 8 magazines that cost $4.75 each. How much of her budget does she have left?
- $172.50
- $38.00
- $39.50 (Correct answer)
- $210.50
Correct answer: $39.50
First, calculate the total cost of the books: 15 * $11.50 = $172.50. Next, calculate the total cost of the magazines: 8 * $4.75 = $38.00. Add the two costs together to find the total spending: $172.50 + $38.00 = $210.50. Finally, subtract the total spending from the budget: $250.00 - $210.50 = $39.50.
Question 4: A community college class has 48 students. If 75% of the students pass the final exam, how many students did NOT pass the exam?
- 36
- 12 (Correct answer)
- 25
- 8
Correct answer: 12
First, determine the number of students who passed by calculating 75% of 48: 0.75 * 48 = 36. Then, subtract the number of students who passed from the total number of students to find how many did not pass: 48 - 36 = 12. Alternatively, you could calculate the percentage of students who did not pass (100% - 75% = 25%) and then find 25% of 48: 0.25 * 48 = 12.
Question 5: Evaluate the following expression: 5 + 3 * (10 - 4) / 2
- 12
- 24
- 14 (Correct answer)
- 8
Correct answer: 14
Following the order of operations (PEMDAS/BODMAS): First, solve the expression in the Parentheses: (10 - 4) = 6. The expression becomes 5 + 3 * 6 / 2. Next, perform Multiplication and Division from left to right. First multiplication: 3 * 6 = 18. The expression becomes 5 + 18 / 2. Then division: 18 / 2 = 9. The expression becomes 5 + 9. Finally, perform Addition: 5 + 9 = 14.
Question 6: A recipe calls for 2 1/4 cups of flour. If you want to make only half of the recipe, how much flour do you need?
- 1 cup
- 1 1/8 cups (Correct answer)
- 1 1/4 cups
- 7/8 cup
Correct answer: 1 1/8 cups
First, convert the mixed number to an improper fraction: 2 1/4 = (2 * 4 + 1) / 4 = 9/4. To find half of this amount, you can divide by 2 or multiply by 1/2: (9/4) * (1/2) = 9/8. Finally, convert the improper fraction back to a mixed number: 9 divided by 8 is 1 with a remainder of 1, so the answer is 1 1/8 cups.
ATB - Ability to Benefit Arithmetic and Basic Math Questions and Answers
A student is working on a project that requires three pieces of wood.
The first piece needs to be 2.75 feet long, the second piece 3.5 feet long, and the third piece 1.25 feet long.
If the student starts with a single board that is 8 feet long, how much wood will be left after cutting the three pieces?