Word Problems

1. Danica is trying to encourage her classmates to donate books for the fund-raiser and book-drive for the local library. Danica will donate $35.00, plus $0.07 for each book donated by her classmates. Which of the following equations gives Danica's donation, d dollars, if b books are donated by her classmates?

2014 April(71H) Math Question 1

1.A calculator has a regular price of $59.95 before taxes.
It goes on sale at 20% below the regular price. Before
taxes are added, what is the sale price of the calculator?

2019 June(B02) Math Question 1

1. Bella sells real estate. She is paid 3% of the sale price of every house she sells. What is Bella paid for selling a house at the sale price of $250,000 ?

2014 December(72G) Math Question 1

2009 June(67C) Math Question 1

2013 April(71G) Math Question 1

2019 April(B04) Math Question 2

2019 June(72F) Math Question 2

2011 April(67F) Math Question 2

2. Disregarding sales tax, how much will you save when you buy a $12.00 compact disc that is on sale for 25% off?

2014 June(72C) Math Question 2

2019 April(Z15) Math Question 2

2009 April(66F) Math Question 2

2010 June(68C) Math Question 2

Five different stores have different prices for a particular brand and style of T-shirts. Those prices are shown in the table below. Which of the 5 stores offers the lowest price for 6 of these T-shirts?

2023 September(G01) Math Question 2

Quinn bought a tractor. He made an initial payment of $900. He then made 36 equal monthly payments. Quinn paid a total amount of $9,000 for the tractor. What was the amount of each of his monthly payments?

2024 December(H31) Math Question 2

2019 June(72F) Math Question 3

2012 June(70C) Math Question 3

3. The temperature F in degrees Fahrenheit is related to the temperature K in kelvins by the equation F = 1.8K — 459.67. Which of the following temperatures, in kelvins, is closest to 120 degrees Fahrenheit?

2015 December(72E) Math Question 3

2009 December(68A) Math Question 3

3. Olga worked on a project for 4(1/2) hours on each of 6 workdays. On the 7th day of working on the project, Olga worked 1/3 of the time she had worked each of the previous workdays to complete the project. How many hours did it take Olga to complete the project?

Algebraic Problems

2021 April(D05) Math Question 3

2013 December(71E) Math Question 3

3. Shantiel left her home at 9:00 a.m. on Tuesday and traveled 648 miles. When she arrived at her destination it was 3:00 a.m. the next day. Given that her home and her destination are in the same time zone, which of the following is closest to her average speed, in miles per hour, for this trip?

2018 June(A11) Math Question 3

2020 June(C02) Math Question 3

3. A 48.5-ounce batch of cologne will be used to fill empty bottles. Each full bottle will contain 0.35 ounces of cologne. This batch of cologne will fill at most how many bottles full of cologne?

2021 December(E23) Math Question 3

What is the cost of 4 4/5 pounds of apples at $1.50 per pound? (Note: No sales tax is charged.)

2023 September(G01) Math Question 3

4. A vending machine only accepts quarters ($0.25) and nickels ($0.05). When the machine was emptied Friday afternoon, 325 coins were counted and had a value of $56.25. Which of the following systems of equations, when solved, gives the number of quarters, q, and the number of nickels, n ?

2013 June(71C) Math Question 4

2019 December(C03) Math Question 4

2011 June(69F) Math Question 4

4. Jorge's current hourly wage for working at Denti Smiles is $12.00. Jorge was told that at the beginning of next, month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge's new hourly wage?

2014 June(72C) Math Question 4

2010 April(68G) Math Question 4

2009 April(66F) Math Question 4

4. The text message component of each of Juan’s monthly phone bills consists of $10.00 for the first 300 text messages sent that month, plus $0.10 for each additional text message sent that month. On Juan’s most recent phone bill he was charged a total of $16.50 for text messages. For how many text messages in total was Juan charged on this bill?

2018 June(A11) Math Question 4

2020 June(C02) Math Question 4

A company reimburses its employees for use of a personal vehicle for company travel at the rate of $10.00 per day plus $0.445 per mile. Jorge, an employee of the company, traveled exactly 120 miles on Monday and exactly 100 miles on Tuesday using his personal vehicle for company travel. For these 2 days, what was the amount of Jorge's reimbursement?

35 February(Z14) Math Question 4

4. Of the 200 parking spaces in a parking lot, 6% of the\ spaces are reserved for handicapped parking. Of those parking spaces NOT reserved for handicapped parking, 20 are suitable for compact cars only. How man spaces that are NOT reserved for handicapped parking are suitable for noncompact cars?

2021 December(E23) Math Question 4

2013 December(71E) Math Question 5

2010 April(68G) Math Question 5

2009 June(67C) Math Question 5

5. Hai has $100 available to buy USB drives to back up data for his business computers. Each USB drive has a price of $8, and Hai will pay a sales tax of 7% of the total price of the USB drives. What is the maximum number of USB drives Hai can buy?

2015 April(73G) Math Question 5

5. At a grocery store, Jo Ellen received $1.60 when she returned her cans, glass bottles, and plastic bottles. Jo Ellen received $0.05 for each can, $0.10 for each glass bottle, and $0.05 for each plastic bottle. She knew she had returned 6 cans and 8 glass bottles. How many plastic bottles did Jo Ellen return to the store?

2016 April(73E) Math Question 5

Ana plans to save $200 for a summer skate park pass. She already has $45 and plans to save $15 per week. At this rate of savings, what is the minimum number of weeks after which Ana will have enough money for the skate park pass?

2025 October(J08) Math Question 5

How many minutes would it take a ship to travel 100 miles at a constant speed of 40 miles per hour?

2023 April(F11) Math Question 5

A city bus picks up and drops off passengers according to the table below. The bus has 0 passengers before Stop 1. After Stop 5, there are 13 passengers remaining on the bus. How many passengers did the bus pick up at Stop 1?

2024 September(H11) Math Question 5

Matt works for the city of Centerville checking for expired parking meters. When checking meters, he travels a rectangular path that starts and ends at the corner of Main Street and 1st Avenue, as shown in the figure below. Matt travels this path 15 times in a typical day. In traveling this path 15 times, about how many miles does Matt travel? (Note: 1 mile = 5,280 feet)

2023 September(G01) Math Question 5

6. The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?

2017 April(74F) Math Question 6

2019 April(B04) Math Question 6

2019 December(C03) Math Question 6

6. Damon and 4 of his coworkers are having lunch. Each of the 5 people will pay for his or her own lunch, but they agree to divide the tip equally among themselves. The total for the 5 lunches is $80.00, and the group will add a tip of 15% of the total. Each person's portion of the tip will be how much?

2015 December(72E) Math Question 6

2012 June(70C) Math Question 6

6. Gao earns his regular pay of $12 per hour for up to 40 hours of work per week. For each hour over 40 hours of work per week, Gao is paid 1_1_ times his regular pay. How much does Gao earn in a week in
which he works 56 hours?

2021 June(D06) Math Question 6

6. Pablo recorded the noon temperature, in degrees Celsius, on 4 consecutive days as part of a science project. On the 1st day, the noon temperature was —4°C. On the 4th day, the noon temperature was 12°C. What was the change in the noon temperature from the 1st day to the 4th day?

2016 April(73E) Math Question 6

Before opening her lemonade stand, Haley purchased lemonade mix for $2.30 and a package of cups for $1.50. Haley sells each cup of lemonade for $0.50. Which of the following expressions gives Haley's total profit, in dollars, from selling x cups of lemonade?

35 February(Z14) Math Question 6

Fred's cell phone service costs $25.00 per month and includes 100 minutes. For any minutes used after the 100 minutes, he is charged $0.10 per minute. Fred has budgeted $33.00 per month for his cell phone service. What is the maximum number of minutes Fred could use in 1 month without exceeding his budget?

2024 June(G20) Math Question 6

6. Of the 180 students in a college course, 1/4 of the students earned an A for the course, 1/3 of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?

Ratios

2021 April(Z04) Math Question 6

2019 April(Z15) Math Question 7

2013 April(71G) Math Question 7

2012 April(70G) Math Question 7

7. Fifty shoppers at a pet store were asked if they owned at least 1 cat or at least 1 dog. Data from their answers were recorded below. How many of these shoppers said that they owned NEITHER a cat NOR a dog?

Venn diagrams

2021 April(D05) Math Question 7

7. The shipping rate for customers of Ship Quick consists of a fee per box and a price per pound for each box. The table below gives the fee and the price per pound for customers shipping boxes of various weights.

2014 June(72C) Math Question 7

2018 December(B05) Math Question 7

2009 April(66F) Math Question 7

7. Sienna will be paid $75, plus 25% of her total weekly sales, for the hours she is scheduled to work next week. Let w represent Sienna's total weekly sales, in dollars, for next week. Which of the following expressions gives Sienna's pay, in dollars, for the hours she is scheduled to work next week?

2016 April(73E) Math Question 7

7. Tawanna bought a used car. She made an initial payment of $700.00. She then made 36 equal monthly payments. The total amount Tawanna paid for the car was $7,000.00. What was the amount of each of her monthly payments?

2021 December(E23) Math Question 7

How many minutes would it take an airplane to travel 300 miles at a constant speed of 400 miles per hour?

2024 April(Z13) Math Question 7

8. Students studying motion observed a cart rolling at a constant rate along a straight line. The table below gives the distance, d feet, the cart was from a reference point at 1-second intervals from t = 0 seconds to t = 5 seconds.

2017 June(74C) Math Question 8

8. As a motivational speaker, Bree speaks at school assemblies, charging a school district for her travel costs and a fixed amount per assembly. Bree used the equation C = 50a + 1,500 to determine the charge of C dollars to speak at a assemblies in the Escambia City School District. Bree charged the district $4,250 to speak at school assemblies, How many assemblies did Bree Speak at in this district?

2013 June(71C) Math Question 8

8. The cost of a long-distance call to a certain city is $1.05 for the first minute and $0.15 for each additional minute or part thereof. What is the cost of a 15-minute call to this city’?

2016 December(74H) Math Question 8

2010 April(68G) Math Question 8

8. Manish drove from Chicago to Baton Rouge. At 8:00 a.m., he was 510 km from Baton Rouge. At 1:00 p.m., he was 105 km from Baton Rouge. Which of the following values is closest to Manish’s average speed, in kilometers per hour, from 8:00 a.m. to 1:00 p.m. ?

Speed, Distance, and Time

2021 April(Z04) Math Question 8

2019 April(Z15) Math Question 8

2009 June(67C) Math Question 8

2019 December(C03) Math Question 8

The Sheffield High School girls' softball team currently has a record of 11 wins, 8 losses, and 0 ties. What is the least number of its remaining 14 games the team must win to finish the season winning more than 50% of all the team's games?

35 February(Z14) Math Question 8

9. Dmitry bought a pair of pants at the discounted price of $30. The original price of the pants was $40. What was the percent of the discount?

2017 June(74C) Math Question 9

8. What is the sum of the 4 binomials listed below? x^2 + 2x, 3x + 5, x^2 + 1, 6x — 4

2014 April(71H) Math Question 9

2012 December(71A) Math Question 9

2012 April(70G) Math Question 9

9. Students studying motion observed a cart rolling at a constant rate along a straight line. The table below gives the distance, d feet, the cart was from a reference point at 1-second intervals from t = 0 seconds to t= 5 seconds.

2014 June(72C) Math Question 9

9. Lyle and Ming are painting an art room. They started with 4 gallons of paint. On the first day, Lyle used gallon of paint and Ming used 1 gallons of paint. How many gallons of paint were left when they completed their first day of painting?

Fractions

2021 December(E23) Math Question 9

A worker earns a standard hourly wage of $20.10 per hour for the first 40 hours he works in 1 week. For each hour over 40 hours he works in 1 week, he earns 1½ times his standard hourly wage. Which of the following gives the amount, in dollars, this worker earns for working 54 hours in 1 week?

2025 October(J08) Math Question 9

Chris can paint 1/6 of a fence per hour. Sandy can paint 1/8 of the same fence per hour. What fraction of the fence will be painted when Chris and Sandy work at these rates for 2 hours?

2023 September(G01) Math Question 9

Zhu has $25 to spend on camping supplies. The table below shows the prices, including tax, of some items. Given that Zhu buys 1 hand broom, 1 rubber mallet, and 2 telescoping forks, what is the greatest number of tent stakes she can buy with her remaining money?

2024 December(H31) Math Question 9

10. Diego purchased a car that had a purchase price of $13,400, which included all other costs and tax. He paid $400 as a down payment and got a loan for the rest of the purchase price. Diego paid off the loan by making 48 payments of $300 each. The total of all his payments, including the down payment, was how much more than the car’s purchase price?

2018 June(A11) Math Question 10

10. Joseph will have a 200-foot-long fence installed around his yard. The A+ Fence Company charges a $500.00 fee, plus a set amount per foot of fence. The A+ Fence Company has given Joseph an estimate of $2,200.00 to install the fence around his yard. What is the set amount per foot of fence?

2015 June(73C) Math Question 10

2012 December(71A) Math Question 10

On the first day of school, Mr. Thibodeaux gave his third-grade students 9 new spelling words to learn. On each day of school after that, he gave the students 6 new spelling words. How many new spelling words had he given the students by the end of the 30th day of school?

2024 April(Z13) Math Question 10

11. Samantha, Nyla, and Jerry own shares of stock in the Triumph Hotels company. The shares of stock that they own have a combined value of $6,880. Samantha owns 70 shares, Nyla owns 50 shares, and Jerry owns 40 shares. What is the value of the shares Samantha owns?

2017 June(74C) Math Question 11

11. At the Winter Weather Store, the price of 1 hat is $12 and the price of 1 scarf is $14. Jovon spent $128 to buy 10 items—a combination of hats and scarves.. How many hats did he buy?

2013 June(71C) Math Question 11

11. Students studying motion observed a cart rolling at a constant rate along a straight line. The table below gives the distance, d feet, the cart was from a reference point at 1-second intervals from t = 0 seconds to t = 5 seconds.

2014 December(72G) Math Question 11

2010 December(69A) Math Question 11

11. The speed of one motorcycle exceeds 4 times the speed of another motorcycle by 24 mph. The speed of the slower motorcycle is g mph. Which of the following expressions represents the speed of the faster motorcycle, in miles per hour?

2015 December(72E) Math Question 11

11. To produce aluminum softball bats, it costs the
Recreation Equipment Supply Company $3,500 for
overhead, plus $2 per softball bat produced. What is
the maximum number of bats that can be produced by
the company for $15,000 ?

2019 June(B02) Math Question 11

11. Ben is saving money to buy a TV that costs $495, including tax. Ben opens a savings account with a deposit of $75 and deposits $65 at the end of each month. What is the minimum number of months Ben will need to make deposits until he has enough money in his account to buy the TV ?

2016 December(74H) Math Question 11

11. Marietta purchased a car that had a purchase price of $10,400, which included all other costs and tax. She paid $2,000 as a down payment and got a loan for the rest of the purchase price. Marietta paid off the loan by making 48 payments of $225 each. The total of all her payments, including the down payment, was how much more than the car's purchase price?

2016 April(73E) Math Question 11

Jerrica drives to and from school once per day in a car that travels 20 miles on 1 gallon of gas. A trip from Jerrica's house to school and back is 6 miles. Gas costs $5 per gallon. Suppose Jerrica rides her bike to and from school for 10 school days. How much money will Jerrica save on gas by not driving to and from school those days?

35 February(Z14) Math Question 11

12. Carrie's Chocolate Shop and Tamika's Treat Shop both sell candy in boxes. The table below lists the price (the total amount the customer pays) of each box of candy sold at the shops. For each shop, there is a linear relationship between the price of a box of candies and the number of candies in that box. These are the only numbers of candies that can be purchased at the shops. Jeremy has $10.00 in quarters to spend on candy. What is the maximum number of quarters he would have left after paying for a box of 25 candies at Tamika's Treat Shop? (Note: Each quarter is worth $0.25.)

2015 June(73C) Math Question 12

2019 April(Z15) Math Question 12

2011 June(69F) Math Question 12

2010 December(69A) Math Question 12

12. Tim’s flight was originally scheduled to depart at 4:51 p.m., but it was delayed 563 minutes. What time did Tim’s flight eventually depart?

2021 June(D06) Math Question 12

12. In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In Cherokee County, Kirk was fined $221 for speeding on a road with.a posted speed limit of 30 mph. Kirk was fined for traveling at what speed, in miles per hour?

Word ProblemsThere are 259 ACT math questions under Word Problems

Sub-topics

2014 April(71H) Math Question 1

2019 June(B02) Math Question 1