FREE Workkeys Applied Math Part 2 Questions and Answers
A packaging band is made to fit snugly around a rubber tire's outside diameter. If the band is 213 cm long, what is the most likely size of tire it is made for? Recall the formula for circumference, C=π×D, where C is the circumference and D is the diameter. Use 3.14 for π.
Explanation:
To find the tire with the circumference that is closest to 213 cm, we need to know its tire diameter.
The quickest method is to divide 213 cm by 3.14 to arrive at a diameter of 67.8 cm, which is the closest to the answer choice of 68 cm.
Alternately, we can calculate the circumference for each response choice's indicated diameter and select the one that results in a circumference that is closest to 213 cm. This is the right response since 68 cm multiplied by 3.14 equals 213.5 cm.
A 2.5-foot-wide vertical cylindrical oil tank is present on the farm where you recently began working. The oil in the tank is 2 feet deep. How much oil is left in the tank, in gallons, if 1 cubic foot of space stores 7.48 gallons?
Explanation:
First, look up the formula for the volume of a cylinder (Ï€ r 2h). Next, divide the diameter (2.5 ft) by 2 to find the radius (1.25 ft) and calculate the volume of the cylinder (9.81 cu ft). Finally, the volume must be multiplied by 7.48, the number of gallons per cubic foot, to find the number of gallons remaining in the tank.
2.5 ÷ 2 = 1.25; 3.14 x (1.25)2 x 2 = 9.81 cu ft; 9.81 cu ft x 7.48 gal/cu ft = 73.4 gallons, then rounded down to 73
You are getting ready to tile the floor of rectangle chamber with a 5½ feet by 18½ feet in size. The tiles you intend to use are square, measuring 12 inches on each side, and they are available in boxes that have enough tiles in them to cover 25 square feet. How many boxes of tiles will you need to order to finish the project?
Explanation:
First, convert 15½ to 15.5 and 18½ to 18.5 and multiply these two values to obtain the area of the room in square feet. Next, divide this number (286.75) by the area covered by one box of tiles (25 sq ft). Finally, round 11.47 boxes up to 12 boxes, as it is probably not possible to order a fraction of a box of tiles.
15½ becomes 15.5 and 18½ becomes 18.5; 15.5 x 18.5 = 286.75 sq ft;
286.75 sq ft ÷ 25 = 11.47, then rounded up to 12 boxes
A plumber paid $12.67 for a piece of pipe and gave the cashier a $20 bill. How much should he get back in change?
Explanation:
20.00 − 12.67 = 7.33
The Laz Company donates 2% of the proceeds from the sale of their killer whale stuffed animal toy killer whale to an organization dedicated to their protection. The cost of each toy is $25. Based on the toy's sales last year, the business gave $1,699.50 to a charitable organization. How many killer whale stuffed toys did the company sell in the previous year?
Explanation:
To find out how much is contributed for each toy sold, first calculate 2% of $25:
0.02($25) = $0.50 donated for each toy sold
Next, calculate the quantity of toys that would have to be sold to generate a gift of $1699.50:
$1699.50 ÷ $0.50 per toy = 3,399 toys
Jonah worked yesterday for 8.75 hours. 40% of his time was spent working on a marketing project. She spent the remaining time on the marketing project working on a new logo design after spending 1 hour and 15 minutes drafting ad copy. How long did Jonah spend yesterday creating the new logo?
Explanation:
First, calculate 40% of 8.75 hours as follows:
40% × 8.75 hours = 3.5 hours = 3 hours 30 minutes
The time spent creating the new logo can then be calculated by deducting the time spent creating the ad copy:
3 hours 30 minutes − 1 hour 15 minutes = 2 hours 15 minutes
For long-distance calls, Quick Call costs 18 cents per minute. Every month, Econo Phone totals your phone usage and rounds the total minutes up to the nearest 15 minutes. Then, if you use less than an hour, it will split the $7.90 per hour of phone use into 15-minute increments. How much will calls cost if your business uses the provider with the cheaper rate for 5 hours and 3 minutes of calling this month?
Explanation:
To calculate Quik Call's price, convert 5 hours 3 minutes to minutes(60 x 5 = 300; 300 + 3 = 303 minutes) and then multiply this by the rate of 18¢ ($0.18) per minute, which equals $54.54. To calculate Econo Phone's price, round 5 hours 3 minutes up to 5 hours 15 minutes and then convert the 15 minutes to ¼ or .25 hours. This value of 5.25 hours is multiplied by the rate of $7.90 per hour to obtain $41.48. Compare the two costs, $54.54 and $41.48, to determine the lower cost.
5.25 hr × $7.90/hr = $41.48
In the past month, an internet retailer sold 772 green laser pointers. It anticipates that 6% of the lasers will be returned and gives a full refund of $24.99 for each laser that is returned. How much should the business anticipate refunding in total for the returned green laser pointers purchased last month?
Explanation:
We start by calculating the anticipated number of returned laser pointers:
6% of 772 = .06 × 772 ≈ 46.3 laser pointers
Now, we can calculate the anticipated refund sum:
46 laser pointers × $24.99 per laser pointer = $1,149.54
$1,150 is the answer closest to our calculated amount.
You made the following numbers of sales calls over the previous five days: 8, 7, 9, 5, and 7. How many calls did you make daily on average?
Explanation:
(8 + 7 + 9 + 5 + 7) ÷ 5 = 7.2
As a cashier, you receive a $20 money from a customer to pay for a $3.84 can of coffee. How much change should be returned?
Explanation:
$16.16 = $20.00 – $3.84
The diameter of a 120-foot-wide race track is 120 feet. How long would it take to go around the track once?
Explanation:
You are looking for the circumference of the track, so use C=Ï€d
C = 3.14×120 ft
C = 376.8 or, rounded, 377 ft
Ronald spends his 40% off discount on a designer shirt. The shirt costs $59 before the reduction is applied. After discount, there is a 7% sales tax added to the shirt's cost. Which of the above equations can be used to calculate P, the sum Ronald will be required to pay the cashier?
Explanation:
The simplest approach is usually to figure out how much is owed to the cashier, then compare each response to see which yields the same sum. Let's start by calculating the shirt's cost once the discount has been applied:
Price after discount = Price before discount − (0.40)(Price before discount)
Price after discount = $59.00 − (0.40)($59.00)
Price after discount = $35.40
We must now calculate the shirt's ultimate price, P, which includes the 7% tax:
P = $35.40 + (0.07)($35.40)
P = $37.88 (rounded to the nearest cent)
Only the final answer choice provides the right answer of P = $37.88 if we type each answer choice precisely as it is stated.
Each year, the amount of SuperPhone batteries produced doubles. 10,000 of these batteries were produced in the first year. How much lithium will be needed for the SuperPhone batteries created in year four if 0.8 kilos of lithium were used to create 100 SuperPhone batteries?
Explanation:
We start by calculating the quantity of batteries that will be made in year four:
Year One = 10,000 batteries
Year Two = 2 × 10,000 = 20,000 batteries
Year Three = 2 × 20,000 = 40,000 batteries
Year Four = 2 × 40,000 = 80,000 batteries
Next, we need to determine how much Lithium will be required to produce 80,000 SuperPhone batteries.
To do this we set up the following equivalent proportion:
0.8 kg /100 batteries= x kg / 80,000 batteries
Cross-multiplying we have:
(0.8)(80,000) = (100)(x)
Solving, we find x = 640 kilograms.
640 kg of Lithium will be required to make the 80,000 SuperPhone batteries required in year four.
How many hours would you be awake for if you stayed awake for 3 days?
Explanation:
3×24 hours = 72 hours
Ryan has purchased pavers. However, Ryan has a coupon that says, "Buy 4 pavers at the regular price and get a 5th brick for free." Each paver costs $6.19. The quantity of pavers he can buy with the coupon is unlimited. How much will it cost him overall if he uses the coupon and requires 100 pavers total?
Explanation:
Determine the price of 5 pavers first. Since the 5th brick is free when four are purchased for the standard price of $6.19, we begin by calculating the price of 4 pavers:
$4.76 x 4 pavers = $24.76. 5 pavers cost $24.76 as a set since the fifth paver is free.
Next, divide 100 by 5 to calculate the required number of sets of 5 pavers:
20 sets are produced by dividing 100 pavers by 5.
Lastly, calculate the price of 20 sets of pavers:
20 sets × $24.76 per set = $495.20
Bryle's sports automobile has rear tires that are 3.94 inches wider than the front ones. The width of the front tires is 10.04 inches. How many millimeters, rounded to the nearest whole number, are the rear tires' widths? There are 25.4 millimeters in 1 inch.
Explanation:
We must first calculate the width of the rear tires in inches:
Rear tires are 3.94 inches wider than front tires, according to what is said.
Rear tire width = Front tire width + 3.94 inches
Rear tire width = 10.04 inches + 3.94 inches = 13.98 inches
The width in inches must then be converted to millimeters:
13.98 inches × 25.4 mm / 1 inch
 =355.092 mm
The rear tires are 355 mm wide, rounded to the nearest whole number.