A recipe for a smoothie requires 20 ounces of liquid. 75% of the liquid is yogurt. If the rest of the liquid is juice, how many ounces of juice are required?
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ISEE Middle Level Quantitative Reasoning Quiz
Practice Percent Problems In Context in ISEE Middle Level Quantitative Reasoning with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.
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A recipe for a smoothie requires 20 ounces of liquid. 75% of the liquid is yogurt. If the rest of the liquid is juice, how many ounces of juice are required?
This quiz focuses on Percent Problems In Context, giving you a quick way to practice the rules, question types, and explanations that matter most for ISEE Middle Level Quantitative Reasoning.
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.
A recipe for a smoothie requires 20 ounces of liquid. 75% of the liquid is yogurt. If the rest of the liquid is juice, how many ounces of juice are required?
Explanation: If 75% of the liquid is yogurt, then the remaining percentage must be juice. The percentage of juice is (100% - 75% = 25%). To find the amount of juice, calculate 25% of the total liquid volume: (0.25 \times 20 = 5) ounces.
A club has 15 members who are in 7th grade and 10 members who are in 8th grade. What percentage of the club members are in 7th grade?
Explanation: First, find the total number of members in the club: (15 + 10 = 25). Next, calculate the percentage of members who are in 7th grade by dividing the number of 7th graders by the total number of members and multiplying by 100: (\frac{15}{25} \times 100% = 0.60 \times 100% = 60%).
Sarah deposits $600 into a savings account that earns 2.5% simple annual interest. If she does not make any other deposits or withdrawals, how much interest will she have earned after 3 years?
Explanation: Simple interest is calculated using the formula I = Prt, where I is interest, P is principal, r is the rate, and t is time. First, find the interest for one year: (600×0.025=15). Then, multiply by the number of years to find the total interest: (15×3=45).
A fundraising event raised a total of $5,000. 30% of the money will be used for administrative costs. The remaining money will be split equally among 4 charities. How much money will each charity receive?
Explanation: First, calculate the amount of money remaining after administrative costs. If 30% is used for costs, then 70% remains for charities. The amount for charities is (0.70 \times 5,000=3,500). This amount is split equally among 4 charities, so each charity receives (3,500÷4=875).
A test has two sections. A student answered 80% of the 30 questions in the first section correctly. If the student scored 70% on the entire 50-question test, what percentage of the 20 questions in the second section did the student answer correctly?
Explanation: First, find the number of questions answered correctly in section 1: (30 \times 0.80 = 24). Next, find the total number of questions answered correctly on the whole test: (50 \times 0.70 = 35). The number of questions answered correctly in section 2 is the difference: (35 - 24 = 11). Finally, find the percentage for section 2, which has 20 questions: (\frac{11}{20} \times 100% = 55%).
A video game originally priced at $50 is on sale for 20% off. A week later, the store offers an additional 10% off the sale price. What is the final price of the game?
Explanation: First, calculate the initial sale price. A 20% discount on 50 is \(0.20 \times 50 = 10). The sale price is (50−10 = 40\). Next, calculate the additional 10% discount on the sale price. A 10% discount on 40 is (0.10 \times 40 = 4\). The final price is \(40 - 4=36).
A jacket is on sale for $60 after a 25% discount. What was the original price of the jacket?
Explanation: The sale price of 60represents10060). To find the original price, divide the sale price by 0.75: (P = 60÷0.75=80).
A family's dinner bill is $120. They want to leave a 20% tip on the bill before tax is added. The sales tax is 10% of the bill. What is the total amount they will pay?
Explanation: First, calculate the tip: 20% of 120 is \(0.20 \times 120 = 24). Next, calculate the sales tax: 10% of 120 is \(0.10 \times 120 = 12). The total amount is the sum of the bill, the tip, and the tax: (120+24 + 12=156).
A school library has 1,200 books. 45% of the books are fiction. Of the fiction books, 20% are science fiction. How many science fiction books are in the library?
Explanation: First, find the number of fiction books: (1200 \times 0.45 = 540). Then, find the number of science fiction books, which is 20% of the fiction books: (540 \times 0.20 = 108).
The population of a town was 8,000 in 2020. By 2021, the population had increased by 5%. What was the population of the town in 2021?
Explanation: First, calculate the increase in population: 5% of 8,000 is (0.05 \times 8000 = 400). Then, add this increase to the original population: (8000 + 400 = 8,400). Alternatively, a 5% increase means the new population is 105% of the original: (8000 \times 1.05 = 8,400).
A student's score on a test improved from 60 points to 75 points. What was the percent increase in the student's score?
Explanation: The formula for percent increase is (\frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100%). The increase in score is (75 - 60 = 15) points. The percent increase is (\frac{15}{60} \times 100% = 0.25 \times 100% = 25%).
A salesperson earns a monthly salary of 2,000plusa410,000. If their total sales for the month were $40,000, what were their total earnings for the month?
Explanation: First, determine the amount of sales eligible for commission: (40,000−10,000 = 30,000\). Next, calculate the commission earned on this amount: 4% of 30,000 is (0.04 \times 30000 = 1,200\). Finally, add the salary to the commission for total earnings: \(2,000 + 1,200=3,200).
After a 20% price increase, the new price of a bicycle is $300. The store owner then offers a 10% discount on the new price. What was the original price of the bicycle before the increase?
Explanation: The question asks for the original price, so the 10% discount is extra information not needed to solve the problem. Let the original price be P. The new price, 300,is120300). To find P, divide 300 by 1.20: \(P = 300 \div 1.2 = 250).
In a survey, 110 students, representing 40% of the seventh-grade class, said they prefer comedy movies. How many students are in the entire seventh-grade class?
Explanation: Let T be the total number of students in the class. We are given that 40% of T is 110. The equation is (0.40 \times T = 110). To find T, divide 110 by 0.40: (T = 110 \div 0.40 = 275). There are 275 students in the seventh-grade class.
The number of tickets sold for a play on Friday was 400. The number of tickets sold on Saturday was 25% more than on Friday. How many tickets were sold in total over the two days?
Explanation: First, calculate the number of tickets sold on Saturday. The increase was 25% of 400, which is (0.25 \times 400 = 100) tickets. So, on Saturday, (400 + 100 = 500) tickets were sold. The total for the two days is the sum of Friday's and Saturday's sales: (400 + 500 = 900) tickets.
A student estimated the length of a rope to be 80 cm. The actual length was 64 cm. What was the percent error of the student's estimate relative to the actual length?
Explanation: Percent error is calculated as (\frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \times 100%). The error in measurement is (|80 - 64| = 16) cm. The percent error is (\frac{16}{64} \times 100% = \frac{1}{4} \times 100% = 25%).
The price of a stock increased by 20% on Monday and then decreased by 20% on Tuesday. If the price of the stock was $100 at the start of Monday, what was its price at the end of Tuesday?
Explanation: First, calculate the price after the 20% increase on Monday: (100×1.20=120). Next, calculate the price after the 20% decrease on Tuesday. The decrease is based on the new price of 120: \(120 \times 0.20 = 24\). The final price is \(120 - 24=96).
In a bag of 80 marbles, 25% are red. One-half of the remaining marbles are blue. How many marbles are blue?
Explanation: First, calculate the number of red marbles: 25% of 80 is (0.25 \times 80 = 20). Next, find the number of remaining marbles: (80 - 20 = 60). Finally, calculate the number of blue marbles, which is one-half of the remaining: (60 \div 2 = 30).
In a company, 60% of the employees are men. If 25% of the men and 50% of the women have worked at the company for more than 10 years, what percentage of all employees have worked there for more than 10 years?
Explanation: Assume there are 100 employees. Then there are 60 men and 40 women. The number of men who have worked for more than 10 years is (0.25 \times 60 = 15). The number of women who have worked for more than 10 years is (0.50 \times 40 = 20). The total number of employees who have worked for more than 10 years is (15 + 20 = 35). Since the total number of employees is 100, this represents 35% of all employees.
A tablet computer is priced at $400. A store offers a 15% discount. Sales tax of 8% is calculated on the discounted price. What is the total cost of the tablet?
Explanation: First, calculate the discounted price. The discount is (0.15 \times 400 = 60\). The discounted price is \(400 - 60=340). Next, calculate the sales tax on this discounted price: (0.08 \times 340 = 27.20\). Finally, add the tax to the discounted price to get the total cost: \(340 + 27.20=367.20).