Applied Math Level 5

Lawrence wants to build a rectangular pen for his ostriches. The pen will be 22 yards long and 18 yards wide. How many feet of fencing will he need to build the perimeter of the pen?\(\)

Joel loves karting. The local karting track offers two membership plans. The “Premium Plan” costs $995 per year plus $0.25 per lap. The “Standard Plan” costs $495 per year plus $0.45 per lap. Joel plans to drive 3,900 laps in the next year. How much money will he save by selecting the “Premium Plan” instead of the “Standard Plan”?

Pamela is building a deck. She has a piece of lumber that is 8 feet and 4 inches long. From this piece she cuts two short supports that are each 2 feet and 9 inches long. How much of the original piece of lumber will be left, in inches, after the two supports are made (assuming that no wood length is lost due to the width of the cutting blade)?

At Merrifield Manufacturing Corporation (MMC) the total product cost is calculated by adding together the costs of material, labor, and overhead. For MMC’s most popular product, the Entabulator, the material cost is $1,473, the labor cost is $635, and the overhead cost is $1,207. If the Entabulator’s selling price is 35% more than its total cost, what is the selling price?

The rear tires on Juwan’s sports car are 3.94 inches wider than the front tires. The front tires are 10.04 inches wide. Rounded to the nearest whole number, how many millimeters wide are the rear tires? There are 25.4 millimeters in 1 inch.

A pizza was sliced into 16 equal pieces. During a business meeting, \(\frac{1}{4}\) of the pizza was eaten. After the meeting, 7 additional slices were eaten. What fraction of the pizza remains?

A packaging band is designed to wrap snuggly around the outside circumference of a rubber tire. If the band is 213 cm in length, what outer diameter of tire is it most likely designed for?

Recall the formula for circumference, \(C = π × D\), where \(C\) is the circumference and \(D\) is the diameter. Use 3.14 for \(π\).

An online company sold 772 green laser pointers last month. It offers a full refund of $24.99 for each returned laser and expects 6% of the lasers to be returned. Approximately how much money should the company expect to refund in total for the returned green laser pointers sold last month?

Elijah worked 8.75 hours yesterday. He spent 40% of the time working on a marketing project. 1 hour and 15 minutes of the time he spent on the marketing project was dedicated to writing ad copy and the remaining time was spent working on a new logo design. How much time did Elijah spend working on the new logo design yesterday?

Jake is buying pavers. Each paver sells for $6.19, but Jake has a coupon that states “buy 4 pavers at the regular price and get a 5th paver for free.” There is no limit on the number of pavers he can purchase using the coupon. If he needs 100 pavers total, how much will it cost him all together if he uses the coupon?