WorkKeys® Applied Math Level 5 Practice Test

The WorkKeys Applied Math Level 5 Practice Test covers 15 questions that test your ability to solve more complex workplace math problems. You’ll calculate the best deals, convert between measurement systems, and work with mixed units. These multi-step problems require logical reasoning to calculate the answer. You can use a calculator. Take this practice test to find out which topic needs more attention.


1. Maria wants to build a rectangular pen for her goats. The pen will be 15 yards long and 12 yards wide. How many feet of fencing will she need for the pen perimeter?

 
 
 
 

2. Angela has a piece of lumber that is 10 feet 2 inches long. She cuts off two smaller pieces, each measuring 3 feet 7 inches. Assuming no wood is lost from the cut itself, how many inches of lumber remain after these two cuts?`

 
 
 
 
 

3. At Redwood Innovations, the total product cost for the Redwood Deluxe model is determined by adding up the materials cost of $2100, the labour cost of $700, and the overhead cost of $1000. The company sets the selling price at 25% above the total cost. What is the selling price?

 
 
 
 
 

4. A bakery makes 48 cookie bars for a fundraiser. By lunchtime, they sell 3/8 of them. After lunch, they sell 15 more cookie bars. How many cookie bars are left as a fraction of the original 48?

 
 
 
 
 

5. A box contains 36 doughnuts. Throughout the morning,2/9 of the doughnuts are eaten. By mid-afternoon, another 1/3 of the original 36 are eaten. How many doughnuts remain?

 
 
 
 
 

6. The front wheels of Sarah’s racing bike are 2.35 inches narrower than the rear wheels. The rear wheels are 15.75 inches wide. Rounded to the nearest whole number, how many millimeters wide are the front wheels? (There are 25.4 millimeters in 1 inch.)

 
 
 
 

7. A metal ring is designed to fit snugly around a cylindrical container. The ring has a circumference of 188 cm. What is the approximate outer diameter of the container?

 
 
 
 

8. A tech company sold 1,200 smartwatches last month. Each smartwatch costs $199.99, and the company offers a 10% refund for defective products. It expects 8% of the sold smartwatches to be returned for refunds. How much money should the company expect to refund for the returned smartwatches?

 
 
 
 

9. A retailer expects 5% of its 2,400 sold items to be returned. Each returned item results in a refund of $25. How much should the company expect to refund in total?

 
 
 
 

10. A fleet of trucks requires oil changes every 6,000 miles. Each truck drives 1,200 miles per week. If the fleet has 8 trucks, how many total oil changes will be needed for the fleet in 10 weeks?

 
 
 
 

11. A landscaper needs to cover a yard with gravel. The yard is 60 feet by 45 feet, and the gravel must be 3 inches deep. Gravel costs $50 per cubic yard. How much will the project cost?
(Note: 1 cubic yard = 27 cubic feet)

 
 
 
 

12. A company buys office supplies in bulk. The base price for 1,000 pens is $0.80 per pen. For orders over 1,000 pens, the price drops to $0.65 per pen for all pens. How much will it cost to purchase 1,500 pens?

 
 
 
 

13. Michael is buying water bottles. Each bottle sells for $3.25, but Michael has a coupon that states: “Buy 3 bottles at the regular price and get the 4th bottle for free.” There is no limit to the number of bottles he can purchase using the coupon. If Michael needs 64 bottles, how much will it cost him altogether?

 
 
 
 

14. Kevin worked for 8.75 hours yesterday. He spent 40% of his time completing a sales report. Of the time he spent on the sales report, 1 hour and 15 minutes were spent analyzing data and the remaining time was spent writing the report. How much time did Kevin spend writing the sales report?

 
 
 
 

15. A carpenter is building a deck and needs 112 boards. Each board costs $8.75, but if he buys more than 100 boards, he gets a 10% discount on the total cost of all the boards. How much will the carpenter pay for 112 boards?

 
 
 
 

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