ACT Math · Algebra
Ratios, rates, and percents practice questions
Each free question on this page comes with its answer and a full explanation.
- Question 13The distance a spring stretches varies directly with the weight attached to it. A weight of 5 pounds stretches the spring 15…
- Question 35A jacket originally priced at $80 is marked up 15%, then later marked down 20% from the new price. What is the final price?
- Question 36A car travels 250 miles using 10 gallons of gas, then travels 180 miles using 6 gallons. What is the car's combined average fuel…
- Question 37An account earns simple interest at an annual rate of 4%. If $2,000 is deposited and left for 3 years with no withdrawals, what…
- Question 38A recipe uses 3/4 cup of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies, at the same rate?
- Question 39A painter can paint a room alone at a rate of 1/5 of the room per hour. After working alone for 2 hours, a second painter joins,…
- Question 53The variable y varies inversely with x. If y = 8 when x = 3, what is y when x = 6?
- Question 78An interest rate rises from 5% to 8%. By how many percentage points did the rate increase, and what is the percent increase…
- Question 79On a map, 1 inch represents 25 miles. If two cities are 7.5 inches apart on the map, what is the actual distance between them?
- Question 81A cyclist rides 60 miles at 30 miles per hour, then rides another 90 miles at 45 miles per hour. What is the cyclist's average…
- Question 82An item originally priced at $50 is discounted 20%, and then 8% sales tax is applied to the discounted price. What is the final…
- Question 83Brand A sells 24 ounces of juice for $4.32. Brand B sells 30 ounces for $5.70. Which brand has the lower price per ounce, and…
- Question 85A recipe requires 2.5 pounds of flour. If flour is sold only in 16-ounce bags, what is the minimum number of bags needed? (1…
- Question 121A car travels at 72 kilometers per hour. What is this speed in meters per second? (1 km = 1000 m, 1 hour = 3600 seconds)
- Question 122A model building is built at a scale of 1:50. If the model is 8 centimeters tall, how tall is the actual building, in meters?
- Question 123A restaurant bill is $68. A customer wants to leave an 18% tip. What is the total amount paid, including the tip?
- Question 125A 12-pack of soda costs $5.40. A 24-pack costs $9.60. Which pack has the lower price per can, and what is that price?
- Question 127An item originally priced at $120 is discounted 25%, and then an additional 10% is taken off the new price. What is the final…
- Question 164A metal block has a mass of 540 grams and a volume of 60 cubic centimeters. What is its density, in grams per cubic centimeter?
- Question 165A salesperson earns a 6% commission on sales. If total sales for the month are $12,500, what is the commission earned?
- Question 166A flight departs at 2:15 PM and lands 3 hours 40 minutes later. What time does the flight land?
- Question 167What is 40% of 25% of 800?
- Question 168A train travels at 80 miles per hour for 2.5 hours, then slows to 60 miles per hour for 1.5 hours. What is the total distance…
- Question 169An item normally costs $40, but there is a $5 discount per item when buying 3 or more. What is the total cost of buying 4 items?
- Question 171A recipe for 8 servings uses 2 cups of sugar. How much sugar is needed for 20 servings, at the same rate?
- Question 172The actual length of an object is 50 centimeters, but a student measures it as 47 centimeters. What is the percent error of the…
- Question 179Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 4 hours. Working together, how long will it take to fill the…
- Question 180Two cars leave the same location at the same time, traveling in opposite directions. One travels at 50 mph and the other at 65…
- Question 208An employee earns $18 per hour for the first 40 hours worked in a week, and 1.5 times that rate for each hour beyond 40. What is…
- Question 209If 1 US dollar is equivalent to 0.92 euros, how many euros is $150 equivalent to?
- Question 210A car's fuel tank holds 14 gallons. If gasoline costs $3.45 per gallon, how much does it cost to fill an empty tank?
- Question 211A recipe calls for flour and sugar in a ratio of 5:2. If 20 cups of flour are used, how many cups of sugar are needed?
- Question 212A $2,000 loan has 5% simple annual interest. What is the total amount owed after 2 years?
- Question 213A runner's pace is 8 minutes per mile. What is this pace in miles per hour?
- Question 215A store buys an item for $40 and sells it at a 60% markup. Later, the item is put on sale for 25% off the selling price. What is…
- Question 216A swimming pool holds 15,000 gallons of water. If 1 cubic foot equals approximately 7.48 gallons, which value is closest to the…
- Question 234The force needed to accelerate an object varies directly with its acceleration. If a force of 24 newtons produces an…
- Question 270In a class, 40% of students are male. Of the male students, 25% play chess. What percent of the entire class is male and plays…
- Question 282A restaurant bill is $60 before tax. An 8% sales tax is applied, and then a 20% tip is added based on the pre-tax amount. What…
- Question 283A container holds 15 liters. Approximately how many gallons is this, given that 1 gallon ≈ 3.785 liters?
- Question 284A stock price rose from $40 to $52. What was the percent increase?
- Question 286One painter can paint a fence in 8 hours. A second painter works twice as fast as the first. Working together, how long will it…
- Question 287Which option has the lowest price per ounce: A) 16 oz for $4.00, B) 20 oz for $5.20, or C) 32 oz for $7.68?
- Question 288$200 is converted to euros at a rate of 1 USD = 0.92 EUR. A 5% fee is then charged on the converted amount. How many euros…
- Question 289An item originally priced at $200 is discounted three separate times, each time by 10% off the current price. What is the final…
- Question 290A ship travels at 20 knots (nautical miles per hour). Approximately how many regular miles per hour is this, given 1 knot ≈…
- Question 292If 1 US dollar is equivalent to 0.92 euros, approximately how many US dollars is 138 euros equivalent to?
- Question 293A phone costs $600. A store offers a 15% discount, and then charges 8% sales tax on the discounted price. What is the final cost?
- Question 294A paint mixture uses blue and white paint in a ratio of 3:5. How many liters of blue paint are needed to make 40 liters of the…
- Question 295A 2.5-pound bag of rice costs $4.00. What is the price per ounce? (1 pound = 16 ounces)
- Question 2964 workers can complete a job in 10 hours. Working at the same rate per worker, how long would 5 workers take to complete the…
- Question 300A cyclist rides 40 miles in 2 hours, then rides another 45 miles in 1.5 hours. Which value is closest to the cyclist's average…