ACT Math case studies
ACT Math · Put your knowledge to work in context.
The ACT is a college admissions test; ACT reports that more than 2 million students take it each year, that 100% of U.S. colleges accept it, and that it has been trusted for 60+ years. The ACT Math case studies are 5 cases and about 2,738 words.
1Reams, Spoilage, and Whole-Unit Ordering at a Print Shop
A print shop has accepted a job for 4,500 finished sheets. Paper is sold only in reams of 500 sheets at 6.75 per ream, or in boxes of 5 reams for 31.50 per box; reams cannot be split or returned.
493 words, about 2 min2Ticket Pricing: Revenue Maximum Is Not Profit Maximum
A community theater seats 1,200 people. At a ticket price of 20, the box office sells 800 tickets for a typical Friday show.
524 words, about 3 min3Discount and Credit: Does the Order of Operations Change the Total?
A bakery sells celebration cakes at list price p dollars. For corporate orders, the bakery applies a 20% discount, then subtracts a flat 5 loyalty credit from the discounted price, and only then adds 8% sales tax on the resulting amount.
524 words, about 3 min4Wheelchair Ramp: Which Constraint Actually Binds?
A contractor must build a wheelchair ramp to a door whose threshold is 27 inches above the sidewalk. The building code requires a slope no steeper than 1:12 - one inch of rise for every 12 inches of horizontal run - and requires a flat landing 5 feet long, measured horizontally, at the top of the ramp directly in front of the door.
589 words, about 3 min5Carnival Token Booth: Expected Payout and a Rule Change
A carnival booth charges 2 per play. A player draws one token at random from a bag holding 6 red, 4 blue, and 10 green tokens, then returns the token to the bag.
608 words, about 3 min