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What is the result of subtracting 12.02 from 9.99?
- A. 7.97
- B. 2.03
- C. -2.03
- D. 3.17
Correct Answer: C
Rationale: To find the result of subtracting 12.02 from 9.99, you need to perform the operation 9.99 - 12.02, which equals -2.03. The correct answer is C, -2.03, because when subtracting a larger number from a smaller one, the result will be negative. Therefore, the correct calculation is 9.99 - 12.02 = -2.03. It's important to remember that when subtracting numbers, the order matters, and subtracting the larger number from the smaller one will result in a negative difference.
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15:3 = x:5. Find the value of x. (Enter whole number only.)
- A. 20
- B. 25
- C. 30
- D. 35
Correct Answer: B
Rationale: To find the value of x, we can set up a proportion: 15/3 = x/5. Simplifying this, we get 5 = x/5. Multiplying both sides by 5 gives us x = 25. Therefore, the correct answer is B (25). Choice A (20) is incorrect because it does not satisfy the proportion. Choices C (30) and D (35) also do not fit the proportion and are therefore incorrect options.
A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?
- A. 50
- B. 51
- C. 53
- D. 54
Correct Answer: C
Rationale: To calculate the number of additional teachers needed, first determine the total number of classes by dividing the total student population by the maximum class size: 6734 students · 25 students = 269.36, rounded up to 270 classes. Then subtract the current number of teachers from the total classes to find the additional teachers required: 270 classes - 217 current teachers = 53 additional teachers needed.
Multiply: (99)(0.56) =
- A. 54.44
- B. 56.44
- C. 55.44
- D. 57.44
Correct Answer: A
Rationale: To multiply decimals, first ignore the decimal points and multiply the numbers as whole numbers. Then, count the total number of decimal places in both factors (2 in this case) and place the decimal point in the product so that it has the same total number of decimal places. Therefore, (99)(0.56) = 5544. After placing the decimal point, the answer is 54.44. Therefore, the correct answer is A: 54.44.
Add: 1/4 + 3/8 =
- A. 5/8
- B. 1/2
- C. 4/12
- D. 1/3
Correct Answer: A
Rationale: To add the fractions, first convert 1/4 to a common denominator with 3/8. The common denominator is 8: (1/4) = 2/8. Then, add: 2/8 + 3/8 = 5/8. Therefore, the correct answer is A) 5/8.
Subtract: 12 1/8 - 9 1/2 =
- A. 2 5/8
- B. 2 1/8
- C. 3 3/8
- D. 3 5/8
Correct Answer: A
Rationale: To solve this problem, first convert the mixed numbers to improper fractions. 12 1/8 can be written as 97/8, and 9 1/2 can be written as 19/2. Ensure a common denominator (8) by rewriting 19/2 as 76/8. Now, subtract the fractions: 97/8 - 76/8 = 21/8 = 2 5/8. Therefore, the correct answer is 2 5/8.