WorkKeys® Applied Math Level 7 Practice Test

1. A plumbing company pays an annual insurance premium based on the number of employees. The base premium is $2,000 for up to 10 employees plus $38.50 for each employee beyond 10. If the company employs 27 plumbers and the insurer imposes a 3% administrative fee on the total premium, how much does the company pay for insurance per year?

2. The figure below shows a cone-shaped container with a radius of 11.4 cm and a height of 24 cm. A new cone-shaped container must be designed so that its volume is twice that of the existing container while keeping the same height (24 cm). What should the radius of the new container be? Round your answer to the nearest tenth of a centimeter.

3. You are choosing between two data-storage subscription plans for your small business. Plan A includes a monthly fixed fee of $15 plus $0.010 per gigabyte (GB) of data stored, whereas Plan B requires a monthly fixed fee of $40 plus $0.003 per GB. You anticipate storing 5,000 GB of data each month. What would be the average cost per gigabyte for the cheapest plan?

4. Tom, Mary, and John are assigned to a box packaging work. Tom takes 4 minutes to pack a box, while Mary and Jhon take 6 minutes and 12 minutes, respectively, to pack the same box. If all three work together continuously for 30 minutes, how many boxes will they have packed?

5. Calculate the volume of the cylinder shown below in cubic inches. Round your answer to the nearest tenth. There are 16.39 cubic centimeters (cm³) in 1 cubic inch (in³).

• Volume of cylinder= 3.14 x (radius)² x (height)

6. A paint company creates a custom blend using three pigments—Cyan (C), Magenta (M), and Yellow (Y)—in the ratio of 3:2:5. They have a container holding exactly 10 liters of this blend. An employee accidentally adds 2 liters of Magenta pigment to the container, changing the color. To restore the original 3:2:5 ratio, additional Cyan and Yellow must be added. How many liters of Yellow should be added to bring the mixture back to the correct ratio?

7. A car rental company rents small cars at $50 per day and large cars at $80 per day. If a total of 13 cars were rented for $920 in one day, how many large cars were rented?

8. An electronics recycling facility has 4.2 metric tons of old circuit boards ready for processing. Tests indicate that 0.18% of this material consists of valuable precious metals. Knowing that 1 metric ton = 1,000,000 grams, how many grams of precious metals are expected to be recovered from the 4.2‐ton load? Round your answer to the nearest gram.

9. You are booking a 9-night stay at a mountain lodge. The standard rate is $200 per night, the weekend rate is $60 more than the standard rate, and the holiday rate is 50% more than the weekend rate. Over this 9-night stay, you plan to stay 4 nights at the standard rate, 3 nights at the weekend rate, and 2 nights at the holiday rate. Calculate the weighted average amount paid per night for the entire stay, and round your final answer to the nearest cent.

10. During the holiday season, you have been asked to wrap several electronic items at a corporate event. There are two large monitors, each requiring 240 feet of wrapping paper, along with three tablet computers, each needing 60 feet of wrapping paper. In addition, four smartphone boxes must be wrapped, each requiring 15 feet of paper. Based on these needs, how many feet of wrapping paper are required?

11. In a certain northern city, the daylight hours on the shortest day of the year is exactly 0.625 (i.e., 5/8) of the daylight hours on the longest day of the year. On the longest day, there are 15 hours and 20 minutes of daylight. On the shortest day, the sun sets at 5:02 pm. What time does the sun rise on the shortest day?

12. Sarah can do 60% of the work in 6 days, while Michael can complete that work in 10 days. If both work together, how many days will that work be completed?

13. A construction worker makes $20/hr for the first 40 hours per week, then 1.5 times the normal rate after 40 hours. One week, the worker logs 47 hours and also earns a $70 safety bonus. What is the total pay for that week?

14. The diagram below is a top‐down design of the front of a birdhouse. It shows five holes where columns will be attached. You are constructing this birdhouse and want to confirm all your measurements. Using the dimensions in the figure, determine the length X (in inches) from one edge of the birdhouse front to the other.

15. Your company operates a small fleet of vans that collectively drive 3,000 miles weekly. The average fuel economy for the fleet is 25 miles per gallon. Under normal circumstances, the weekly profit is $600, but recent fuel price increases have caused the weekly profit to fall by 20%. Management wants to impose a fuel surcharge (per gallon) on the vans to bring the profit back to its original level of $600. How much should this fuel surcharge per gallon be?