ACT Proportional reasoning Practice Questions

A factory produces two types of widgets: Widget A and Widget B. The ratio of Widget A to Widget B produced is 3 to 5. If the factory produces 250 Widgets B in a day, how many Widgets A are produced that day?

A textile machine produces 12.50 meters of fabric every 4 minutes. At this constant rate, how many meters will the machine produce in 10 minutes?

A delivery company transports packages using trucks. The ratio of packages to trucks is 25:2. If the company needs to deliver 500 packages, how many trucks are required?

A delivery company uses trucks to transport packages. On Monday, 5 trucks delivered 150 packages. On Tuesday, the company needs to deliver 360 packages. Assuming the same ratio of trucks to packages, how many trucks are needed on Tuesday?

A delivery truck takes 6 hours to travel 240 miles. At the same speed, how long will it take to travel 320 miles?

A delivery service can process 24 packages in 6 hours. At this constant rate, how many hours will it take to process 72 packages?

A city allocates its budget based on the population of its districts. District A has a population of 20,000 and receives a budget of $400,000. District B has a population of 30,000. If the budget allocation is proportional to the population, what budget should District B receive?

A city's budget allocates funds to three departments: Public Safety, Infrastructure, and Parks. The budget specifies that for every 3 dollars allocated to Public Safety, 4 dollars are allocated to Infrastructure, and 2 dollars are allocated to Parks. If the total budget allocated to these three departments is 90 dollars, how much is allocated to Parks?

A farmer calculates that the yield of a certain crop is proportional to the square root of the amount of fertilizer used. If using 64 units of fertilizer yields 8 bushels of crops, how many bushels will be yielded by using 1,024 units of fertilizer?

An agricultural researcher wants to estimate the average yield of three varieties of wheat (A, B, C) across a region. The region has 1,200 fields planted with these varieties in the ratio 3:4:5 respectively. Using stratified sampling proportional to variety representation, how many fields of variety C should be included in a total sample of 120 fields?