Word Problems

1 Variable Equations

2013 April(71G) Math Question 1

2019 June(72F) 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. 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

2009 April(66F) 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

2009 June(67C) Math Question 5

2019 December(C03) 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

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

2018 December(B05) 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

2012 December(71A) 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

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

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

2013 April(71G) Math Question 13

2012 December(71A) Math Question 13

2012 June(70C) Math Question 14

2010 April(68G) Math Question 17

18. Maurice earns $12.50 per hour for the first 40 hours he works each week. For each hour beyond 40 that he works in 1 week, Maurice earns $18.75 per hour. Last week Maurice earned $931.25. How many hours did Maurice work last week?

2014 April(71H) Math Question 18

19. The Tully family also bought 5 salads priced at $2.00 per salad and 12 breadsticks priced at $1.50 for an order of 3 breadsticks. What was the total price of the pasta, salads, and breadsticks the Tully family bought, without tax and tip?

2015 December(72E) Math Question 19

21. The total cost, c dollars, for Main Street Orchestra to perform a concert at Milly's Auditorium is determined by c = r + 20m, where r is the rental fee, in dollars, of the auditorium and m is the number of orchestra members playing. The Friday night rental fee for Milly's Auditorium is $500. There will be 30 orchestra members playing in Friday night's concert. For the total price of exactly 200 tickets to equal the total cost of performing the concert, what should be the price of each ticket?

2015 December(72E) Math Question 21

26. For which night was the total amount collected for the tickets greater, and by how many dollars was it greater?

2014 December(72G) Math Question 26

27. Alani works 8 hours per day 5 days each week at a custom embroidery shop. Each day Alani is paid either $1.00 per shirt that she stitches or $10.00 per hour, whichever daily amount is higher. Alani stitched the following numbers of shirts: 60 on Monday, 52 on Tuesday, 85 on Wednesday, 80 on Thursday, and 90 on Friday. What is Alani’s total pay for these 5 days?

2018 April(A09) Math Question 27

28. Bo and Tia will balance perfectly on the seesaw shown below if w1 × d1 = w2 × d2, where w1 and d1 are the weight of Bo and his distance from the fulcrum, respectively, and w2 and d2 are similarly defined for Tia. Bo weighs 60 pounds and is sitting 3(1/2) feet from the fulcrum. Tia weighs 2/3 Bo’s weight. What distance, in feet, from the fulcrum must Tia sit in order for Bo and Tia to balance perfectly on the seesaw?

2021 April(D05) Math Question 28

28. Among a group of 20 students, 13 students are members of the Math Club, 11 students are members of the Drama Club, and 9 students are members of both clubs. How many of the 20 students are NOT members of either club?

2021 December(E23) Math Question 28

32. Shefali goes to a farmers’ market every Saturday. Two Saturdays ago, Shefali purchased 3 apples and 4 oranges for a total of $3.47. Last Saturday, she purchased 12 oranges, but no apples, and spent $6.36. Today, she only has one $10 bill. Given that none of the prices have changed over the last 3 weeks, what is the maximum number of apples she can purchase today? (Note: No sales tax is charged at this farmers’ market.)

2021 December(E23) Math Question 32

34. A family will rent a picnic shelter for $200 for a reunion. The cost of the shelter will be distributed equally among the people who plan to attend. The current cost per person will decrease by $1 if 10 more people plan to attend the reunion. How many people are currently planning to attend the reunion?

2016 April(73E) Math Question 34

36. Mrs. Smith will install a ceiling fan in each room of the cabin and will place curtains over the 4 windows. Each of the ceiling fang has a price of $52.00. The price of curtains for each small window (S) is $39.50, and the price of curtains for the large window (L) is twice that for the small window. Based on this information, which of the following values is closest to the total price Mrs. Smith will pay for curtains and ceiling fans?

1 Variable EquationsWord ProblemsACT math questions

2013 April(71G) Math Question 1

2019 June(72F) Math Question 3