Middle School Math Quiz: Percent Of A Quantity

8 questions · exam conditions

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Percent Of A QuantityQuestion 1 of 8

A clothing store marks up all items by 40% from their wholesale cost. During a sale, they offer a 25% discount off the marked price. If an item has a wholesale cost of $60, what is the final sale price after the discount?

$63.00

$69.00

$75.00

$81.00

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Middle School Math Quiz

Middle School Math Quiz: Percent Of A Quantity

Practice Percent Of A Quantity in Middle School Math with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Percent Of A Quantity, giving you a quick way to practice the rules, question types, and explanations that matter most for Middle School Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

$63.00 (correct answer)
$69.00
$75.00
$81.00

Explanation: First, calculate the marked price: $60 × 1.40 = $84. Then apply the 25% discount: $84 × 0.75 = $63. The final sale price is $63.00. Choice B incorrectly applies a 15% discount instead of 25%. Choice C applies no discount to the marked price. Choice D adds the markup and discount percentages instead of applying them sequentially.

Question 2

A library charges a late fee equal to 8% of a book's replacement cost for each day it's overdue. If a book worth $25 is returned 3 days late, and the borrower pays with two $20 bills, how much change should they receive?

$34.00 (correct answer)
$35.00
$36.00
$38.00

Explanation: Late fee per day: $25 × 0.08 = $2.00. Total late fee for 3 days: $2.00 × 3 = $6.00. Amount paid: $40. Change: $40 - $6 = $34. Choice B incorrectly calculates the daily fee as $25 × 0.08 ÷ 3. Choice C uses a 6% daily rate instead of 8%. Choice D calculates 8% of $25 as the total fee regardless of days.

Question 3

A school's enrollment decreased by 12% from last year to this year, resulting in 440 students. Next year, the school expects enrollment to increase by 15% from this year's number. How many students will be enrolled next year?

506 (correct answer)
515
523
575

Explanation: This year's enrollment is 440 students. Next year's increase: 440 × 0.15 = 66 students. Next year's enrollment: 440 + 66 = 506 students. Choice B incorrectly calculates last year's enrollment first and then applies the 15% increase to that. Choice C uses a 19% increase instead of 15%. Choice D applies a 15% increase to last year's enrollment figure.

Question 4

A store offers a loyalty program where customers earn 2.5% cash back on purchases. If a customer's cash back earnings represent $37.50, and they want to use this amount toward a purchase that costs 150% of their cash back earnings, how much additional money do they need to pay?

$18.75 (correct answer)
$25.00
$37.50
$56.25

Explanation: The purchase costs 150% of $37.50 = $37.50 × 1.50 = $56.25. Since the customer can use their $37.50 in cash back, they need to pay an additional $56.25 - $37.50 = $18.75. Choice B represents 50% of the cash back amount but isn't the correct additional amount needed. Choice C suggests they need to pay the full cash back amount additionally. Choice D represents the total purchase price, not the additional amount needed.

Question 5

At a school fundraiser, 40% of the money raised came from ticket sales, and the rest came from donations. If donations totaled $1,800, what was 15% of the total money raised?

$270
$405
$450 (correct answer)
$540

Explanation: If 40% came from tickets, then 60% came from donations. Since donations = $1,800 and this represents 60% of the total, the total raised = $1,800 ÷ 0.60 = $3,000. 15% of $3,000 = $450. Choice A calculates 15% of the donations only. Choice B uses an incorrect total based on treating donations as 40% instead of 60%. Choice D calculates 18% of the total instead of 15%.

Question 6

A basketball player's free throw percentage improved from 72% to 81% over the course of a season. By what percent did her free throw percentage increase?

9%
11.1%
12.5% (correct answer)
15.2%

Explanation: The percentage point increase is 81% - 72% = 9 percentage points. The percent increase is calculated as (9 ÷ 72) × 100% = 12.5%. Choice A gives the percentage point difference, not the percent increase. Choice B incorrectly uses 81 as the denominator instead of 72. Choice D uses an incorrect calculation method entirely.

Question 7

A recipe calls for 2.4 cups of flour, but Jenny only has 65% of the amount needed. She borrows 30% of the required amount from her neighbor. What percent of the required flour does Jenny now have?

85%
95% (correct answer)
105%
125%

Explanation: Jenny has 65% of the required flour initially. She borrows 30% more of the required amount. Total: 65% + 30% = 95% of the required flour. Choice A subtracts instead of adding the borrowed amount. Choice C incorrectly calculates 30% of what Jenny has rather than 30% of what's required. Choice D adds 65% and 30% then multiplies by some factor.

Question 8

Maria's monthly salary increased from $3,200 to $3,680. If she receives another raise that is 75% as large as her first raise, what will her new monthly salary be?

$4,040
$4,160 (correct answer)
$4,280
$4,320

Explanation: First raise: $3,680 - $3,200 = $480. Second raise is 75% of $480: $480 × 0.75 = $360. New salary: $3,680 + $360 = $4,160. Choice A incorrectly calculates 75% of the original salary increase as a percentage. Choice C uses 125% of the first raise instead of 75%. Choice D adds 75% of the new salary instead of 75% of the raise amount.