PARCC Percent and Ratio Practice Questions

Question 1

1. Rick renovated his home. He made his bedroom 40% larger (length and width) than its original size. If the original dimensions were 144 inches by 168 inches, how big is his room now if measured in feet?

Accepted Answer

16.8 ft x 19.6 ft

Answer

First, convert the original dimensions from inches to feet by dividing by 12: 144 inches = 12 ft and 168 inches = 14 ft. Next, increase each dimension by 40%, which means multiplying by 1.40 (100% + 40%). The new length is 12 ft * 1.40 = 16.8 ft, and the new width is 14 ft * 1.40 = 19.6 ft.

Question 2

2. Maria paid $28.00 for a jacket that was discounted by 30%. What was the original price of the jacket?

Accepted Answer

$40.00

Answer

If the jacket was discounted by 30%, Maria paid 100% - 30% = 70% of the original price. So, the $28 she paid represents 70% (or 0.70) of the original price. To find the original price, divide the amount paid by the percentage paid: $28 / 0.70 = $40.00.

Question 3

3. Derek received 6 job offers from the 15 interviews he did last month. Which ratio best describes the relationship between the number of jobs he was not offered and the number of jobs for which he interviewed?

Accepted Answer

3/5

Answer

Derek received 6 job offers out of 15 interviews, meaning he was not offered 15 - 6 = 9 jobs. The question asks for the ratio of jobs he was not offered to the total number of jobs for which he interviewed, which is 9/15. This fraction simplifies to 3/5 by dividing both the numerator and denominator by their greatest common divisor, 3.

Question 4

4. Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price that Gordon paid?

Accepted Answer

$330.40

Answer

If the television was offered at 30% off its original price of $472, you first calculate the discount amount: $472 * 0.30 = $141.60. Then, subtract the discount from the original price to find the sale price: $472 - $141.60 = $330.40. Alternatively, Gordon paid 100% - 30% = 70% of the original price, so $472 * 0.70 = $330.40.

Question 5

5. Within a certain nursing program, 25% of the class wanted to work with infants, 60% of the class wanted to work with the elderly, 10% of the class wanted to assist general practitioners in private practices, and the rest were undecided. What fraction of the class wanted to work with the elderly?

Accepted Answer

3/5

Answer

The question specifically asks for the fraction of the class that wanted to work with the elderly. The problem states that 60% of the class wanted to work with the elderly. To convert a percentage to a fraction, divide the percentage by 100 (60/100) and then simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, 20, resulting in 3/5.

PARCC Practice Test

PARCC Practice Test

PARCC Percent and Ratio Practice Questions