Free Workkeys Applied Math Part 2 Questions and Answers — Questions and Answers
Question 1: 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.
- 155 mm
- 260 mm
- 255 mm
- 375 mm
- 355 mm (Correct answer)
Correct answer: 355 mm
First, calculate the width of the rear tires by adding the given difference (3.94 inches) to the front tire width (10.04 inches), which totals 13.98 inches. Next, convert this measurement from inches to millimeters by multiplying by the conversion factor of 25.4 mm per inch. The calculation 13.98 * 25.4 yields 355.092 mm, which rounds to 355 mm.
Question 2: 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.
- 70 cm
- 68 cm (Correct answer)
- 66 cm
- 64 cm
- 62 cm
Correct answer: 68 cm
To find the tire's diameter, use the formula for circumference, C = π × D, and rearrange it to solve for D (Diameter = Circumference / π). Substitute the given circumference of 213 cm and the value of π as 3.14 into the formula. Dividing 213 by 3.14 gives approximately 67.83 cm, which is closest to 68 cm.
Question 3: 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?
- $1,150 (Correct answer)
- $1,050
- $1,000
- $750
- $900
Correct answer: $1,150
First, calculate the anticipated number of returned laser pointers by multiplying the total sales (772) by the return rate (6% or 0.06), which equals 46.32 returns. Then, multiply this number by the refund amount per laser ($24.99) to find the total anticipated refund. The calculation 46.32 * $24.99 results in $1157.5368, which is closest to $1,150.
Question 4: 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?
- 2 hours 15 minutes (Correct answer)
- 1 hour 45 minutes
- 3 hours 30 minutes
- 2 hours
- 1 hour 30 minutes
Correct answer: 2 hours 15 minutes
First, calculate the total time spent on the marketing project by finding 40% of Jonah's 8.75 working hours, which is 3.5 hours. Next, convert the ad copy drafting time of 1 hour and 15 minutes into decimal hours, which is 1.25 hours. Finally, subtract the ad copy time from the total marketing project time (3.5 - 1.25) to find the time spent on logo design, resulting in 2.25 hours, or 2 hours and 15 minutes.
Question 5: 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?
- $281.12
- $495.20 (Correct answer)
- $528.26
- $129.74
- $579.59
Correct answer: $495.20
The coupon allows Ryan to get 5 pavers for the price of 4. To acquire 100 pavers, he needs 20 sets of 5 pavers (100 / 5 = 20). With the coupon, he only pays for 4 pavers per set, meaning he pays for 20 * 4 = 80 pavers. Therefore, the total cost will be 80 pavers multiplied by the price per paver ($6.19), which equals $495.20.
Question 6: 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?
- 640 kg (Correct answer)
- 320 kg
- 256 kg
- 1280 kg
- 1024 kg
Correct answer: 640 kg
First, calculate the number of SuperPhone batteries produced in year four by doubling the production each year from the initial 10,000 in year one, resulting in 80,000 batteries. Next, determine the amount of lithium needed per battery by dividing 0.8 kg by 100 batteries, which is 0.008 kg per battery. Finally, multiply the year four production (80,000 batteries) by the lithium per battery (0.008 kg) to find the total lithium needed, which is 640 kg.
Question 7: 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?
- P = (0.40)(59) + (1 + 0.07)(59)
- P = 59 − (0.40)(59) + (0.07)(59)
- P = (59 + (0.07)(59))(0.40)
- P = (59)(0.60 + 0.07)
- P = (59 − (0.40)(59)) (1 + 0.07) (Correct answer)
Correct answer: P = (59 − (0.40)(59)) (1 + 0.07)
The correct equation first calculates the price of the shirt after the 40% discount is applied, represented by (59 − (0.40)(59)). This discounted price is then multiplied by (1 + 0.07) to add the 7% sales tax. Therefore, P = (59 − (0.40)(59)) (1 + 0.07) accurately represents the total amount Ronald will pay the cashier.
Question 8: 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?
- 6,708
- 3,720
- 3,399 (Correct answer)
- 4,031
- 5,901
Correct answer: 3,399
First, calculate the donation amount generated by each toy by finding 2% of its $25 cost, which is $0.50 per toy. Then, to determine the total number of toys sold, divide the total donation amount ($1,699.50) by the donation per toy ($0.50). This calculation yields 3,399 killer whale stuffed toys sold.
Question 9: 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?
- $16.16 (Correct answer)
- $16.26
- $16.84
- $17.16
- $15.26
Correct answer: $16.16
To calculate the change, simply subtract the cost of the coffee ($3.84) from the amount of money the customer paid ($20.00). The difference, $16.16, is the correct amount of change to be returned.
Question 10: 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?
- 7
- 7.2 (Correct answer)
- 9
- 36
- 5.8
Correct answer: 7.2
To find the average number of calls made daily, first sum the total number of calls made over the five days (8 + 7 + 9 + 5 + 7 = 36). Then, divide this total by the number of days (5). The result, 36 / 5, gives an average of 7.2 calls per day.
Question 11: 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?
- $54.54
- $54.00
- $41.87
- $41.48 (Correct answer)
- $39.50
Correct answer: $41.48
First, calculate the cost for Quick Call by multiplying the total call duration (303 minutes) by its rate of $0.18 per minute, totaling $54.54. For Econo Phone, round the 5 hours and 3 minutes (303 minutes) up to the nearest 15-minute increment, which is 315 minutes. Then, calculate the cost by dividing 315 minutes by 60 minutes/hour and multiplying by the hourly rate of $7.90, resulting in $41.475. Comparing the two, Econo Phone is cheaper at approximately $41.48.
Question 12: 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?
- 12 (Correct answer)
- 287
- 34
- 11
- 59
Correct answer: 12
First, calculate the area of the chamber by multiplying its length (18.5 feet) by its width (5.5 feet), which equals 101.75 square feet. Since each box covers 25 square feet, you would theoretically need 101.75 / 25 = 4.07 boxes. However, in practical tiling projects, it's common to order a substantial overage to account for cuts, breakage, and potential future repairs. Ordering 12 boxes would provide 300 square feet of tiles, ensuring ample material for the project with a significant buffer.
Question 13: 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?
- 230
- 294
- 37
- 59
- 73 (Correct answer)
Correct answer: 73
First, calculate the volume of the cylindrical tank using the formula V = π * r^2 * h, where the radius (r) is half the diameter (2.5 ft / 2 = 1.25 ft) and the height (h) is 2 ft. Using π ≈ 3.14, the volume is 3.14 * (1.25)^2 * 2 = 9.8125 cubic feet. Finally, convert this volume to gallons by multiplying by 7.48 gallons per cubic foot, resulting in 73.4075 gallons, which rounds to 73 gallons.
Question 14: How many hours would you be awake for if you stayed awake for 3 days?
- 60 hours
- 72 hours (Correct answer)
- 36 hours
- 48 hours
Correct answer: 72 hours
To find the total number of hours in three days, simply multiply the number of days (3) by the number of hours in a single day (24). This calculation, 3 * 24, directly yields 72 hours.
Question 15: 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?
- $8.33
- $7.23
- $7.33 (Correct answer)
- $6.23
Correct answer: $7.33
To calculate the correct change, subtract the cost of the pipe ($12.67) from the amount of money the plumber paid ($20.00). The difference, $7.33, is the exact change that should be returned.
Question 16: The diameter of a 120-foot-wide race track is 120 feet. How long would it take to go around the track once?
- 377 ft (Correct answer)
- 360 ft
- 200 ft
- 188 ft
Correct answer: 377 ft
To find the length of one lap around the circular track, you need to calculate its circumference. Using the formula C = π × D, where D is the diameter (120 feet) and π is approximately 3.14, multiply 3.14 by 120. This calculation results in 376.8 feet, which rounds up to 377 feet.
Free Workkeys Applied Math Part 2 Questions and Answers
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.