Robert Hurt, online










MENTOR · SPEAKER · CONSULTANT

60:03

Practice Test 7


38 questions in 60 minutes

Basic, Intermediate, & Advanced Question-Types


1. You just wrapped up a contract project that paid $50,000 in gross income. Your state tax rate is 3%, and your federal tax rate is 16%.

 

How much total income taxes will you owe from this contract?

 


 

 

 

2. You’ve made a great year from art commissions!

 

Here's the financial breakdown:

 

•Gross earnings: $60,000

•State tax rate: 4%

•Federal tax rate: 12%

 

What is the total amount you’ll owe in taxes this year?

 

 


 

 

 

3. A batch of 40 liters of cleaning solution was distributed into open containers across a warehouse. After a few hours, 35% had evaporated.

 

What is the remaining volume of the solution?

 


 

 

 

4. An artist filled a tub with 40 liters of a specialty varnish. Later that day, she discovered that 2/5 of it had dried up from air exposure.

 

How many liters of varnish remain in liquid form?

 


 

 

 

5. In her last 15 swim meets, 6 of Layla’s races resulted in personal bests. What decimal represents the proportion of meets in which she achieved a personal best?

 


 

 

 

6. During a project delay, Nolan spent 4.75 hours troubleshooting a software issue. How many minutes did that take?

 


 

 

 

7. During a race, Sarah finished the 10K in 53.2 minutes. How many seconds did she take to complete the race?

 


 

 

 

8. Quinn poured herself 1/8 of a pitcher of iced tea. Later, she drank another 2/10 of the pitcher. What percentage of the iced tea in the pitcher still remains?

 

 


 

 

 

9. A fruit tart was divided into 20 equal slices. Jordan had 8 slices after dinner and snuck 6 more later that night. What fraction of the tart is still uneaten?

 


 

 

 

10. You’re solving a puzzle box for a number that changes its display based on levers. Lever X increases the number by 5, Lever Y increases it by 1, Lever Z decreases it by 2, and Lever W decreases it by 20.

 

You pulled Lever Y 2 times, Lever W 2 times, Lever X 2 times, and then read the final display: 100.

 

What number was originally displayed?

 

 


 

 

 

11. In a retro-style video game, you control a terminal with four commands. ↑10 multiplies score by 10, ↓5 divides score by 5, →1 increases score by 1, and ←3 decreases score by 3.

 

The player started with 100, then the player entered →1 2 times, entered ↑10 2 times, entered ←3 2 times, and looked at the screen.

 

What was the ending score? (Round to the nearest whole number.)

 

 


 

 

 

12. A shipment of 20 cartons arrived at a ceramics studio, each containing 6 mugs. After sorting, it was found that 42 mugs were cracked.

 

What percentage of the shipment was cracked?

 

 


 

 

 

13. A set of rare figurines was delivered in 6 crates. Each crate contained a different quantity: 52, 11, 26, 58, 20, and 23 figurines.

 

If 35 total were found with defects, how many figurines are left in good condition?

 


 

 

 

14. Each handcrafted table requires 2 and 3/4 liters of varnish. If a workshop is preparing 90 tables, how many liters of varnish are needed in total? Ignore simplification.

 

 


 

 

 

15. A furniture store advertises: Buy 3 sofas at full price, get the next for 40% off. If the total for all sofas is $1,785, which equation models the regular price of one sofa?

 

 


 

 

 

16. In a customer survey about car brands, 500 people were asked to pick their favorite.

 

If 2 people chose Brand V, and there are only 5 brands, what percent of the people chose Brand W? (Round to the nearest percent.)

 

•7/20 chose Brand X

•1/5 chose Brand Y

•2/5 chose Brand Z

 

If 2 people chose Brand V, and there are only 5 brands, what percent of the people chose Brand W? (Round to the nearest percent.)

 


 

 

 

17. Devon managed to complete 1/5 of a report in 2.75 weeks. Assuming he works at the same pace, approximately how many more days will he need to finish the report? (Round to the nearest whole number)

 

 


 

 

 

18. Sofia has completed 1/10 of a project in 4 weeks. If she maintains the same progress rate, how many additional days will she need to reach approximately 60% completion? Round to the nearest whole number.

 


                       


                       

                       

                       

19. You work in logistics and calculate total protective padding needed for shipping tech equipment:           

Item Quantity Padding per ft.
Projectors 8 60
Floor Speakers 4 40
Touchscreen kiosks 3 12



How many total feet of padding are required?

 

Key: You can add all of the material together: ((8 * 60) + (4 * 40) + (3 * 12)) =

(480 + 160 + 36) = 676

 

 

 

20. You’re helping install a traveling dinosaur exhibit. Each display requires the following protective casing:

 

•Triceratops Skull: 1250 ft

•Fossil wall panel: 650 ft

•Mini fossils (x6): 120 ft each

 

What’s the total length of protective casing needed?

 

Key: You can add all of the material together: (1250 + 650 + (6 * 120)) =

(1250 + 650 + 720) =

2620 is the correct answer.

 

 

 

21. You're reporting results from a literacy improvement program.  

Metric Before After
Total Students 50 50
Average words read per student 300 390



By what percentage did the group’s total reading output increase? (Round to the nearest percentage)

 

Formula: ((New – Old) / Old)

 

 


 

 

 

22. Three workers build shelves at different speeds:

 

•Worker A builds one shelf every 20 minutes

•Worker B builds one shelf every 15 minutes

•Worker C builds one shelf every 25 minutes

 

If they all begin cooperatively building at the same time, how many completed shelves will they build in 3 hours and 15 minutes ?

 


 

 

 

23. Three workers assemble furniture:

 

•Worker A assembles one furniture set every 20 minutes

•Worker B assembles one furniture set every 30 minutes

•Worker C assembles one furniture set every 40 minutes

 

If they all work together, how many minutes will it take to complete 40% of a furniture set?

 


 

 

 

24. A subscription analytics tool offers two pricing tiers:

 

•Plan A: $20 base + $0.012 per transaction for the first 10,000 transactions, then $0.009 per transaction after that

•Plan B: $35 base + $0.011 per transaction (flat rate, no tiers)

 

If a business averages 20,000 transactions per month, what is the average unit transaction cost under the more cost-effective plan? Round to the nearest thousandth. (Formula: Total Cost / Total Transactions)

 

 


 

 

 

25. A custom paint supplier prepares 25 gallons of wall paint for a client. Each gallon contains 4.2% titanium dioxide by volume.

 

How many fluid ounces of titanium dioxide are in the entire batch? Round to the nearest whole number. (1 gallon = 128 fluid ounces)

 

 


 

 

 

26. You’ve rented a car for a road trip that will last 10 nights, starting this Sunday night. The base rental rate is $40 per day, but on Fridays and Saturdays, the rate increases by $17 per day.

 

During the last two days of the trip, there’s a special holiday surcharge that raises the rate by 30%, even over the usual weekend price.

 

What is the average daily cost for your entire rental?

 

 


 

 

 

27. A gym charges a special membership of 12 months in a promotion for new members: the standard rate is $500 per year, paid in equal monthly installments, but for the first 4 months, you pay only 60% of the cost of the installments; after 4 months, the regular monthly rate of $34 per month applies.

 

If you’re joining for 12 months, what is the average monthly cost of the membership? (Round to the nearest hundredth)

 

 

 

 


 

 

 

28. An HVAC company offers service plans for $110/year. With 4,000 customers, the company earns a steady annual profit of $220,000. Due to rising labor rates, total expenses rise by $37,000 per year.

 

To maintain the same profit, what is the minimum increase required to the annual service plan? Round to the nearest hundredth.

 

 


 

 

 

29. A company has a special project in which employees work a specific number of hours during a lengthened workweek, which is 1.5 times the hours worked during the typical 5-day workweek. On this lengthened week, the office closes at 7:15 PM, and the typical workweek lasts 37 hours and 30 minutes. 


About what time do employees begin work on the lengthened week? (Answer with the nearest 15-minute increment: 9:11 should be rounded to 9:15 and 8:07 should be rounded to 8:00.)


 


 

 

 

30. A company produces a special cocktail mix that uses three ingredients in a specific ratio:

 

•5 parts Pineapple Juice

•2 parts Mango Juice

•3 parts Coconut Water

 

They prepare 20 liters of the mix for a party. However, to adjust the flavor profile, they decide to add 3 liters of Coconut Water. To restore the original flavor balance, how many liters of Mango Juice should they add after the additional correct amount of Pineapple Juice is added? Round to the nearest hundredth.

 


 

 

 

31. A paint factory blends pigments to create a custom shade. The color mix requires these proportions:

 

•4 parts Red Pigment

•6 parts Blue Pigment

•5 parts Yellow Pigment

 

The factory creates 15 liters of paint. The production manager decides to enhance the shade by adding 3 liters of Blue Pigment to the batch. What is the total amount of Red Pigment needed to maintain the original color ratio after the additional correct amount of Yellow Pigment is added? Round your answer to the nearest hundredth.

 


 

 

 

32. You’re organizing floral arrangements for a high-profile gala event. A total of 200 centerpieces are required.

 

•30% of them must be orchid-based, priced at $27 each.

 

The rest are split evenly between 2 varieties of seasonal flowers:

•1 type of exotic tropical flowers priced at $50 each,

•and 1 type of local blooms priced at $52 each.

 

What will be the total cost of all the centerpieces?

 


                       


           

           

           








33. The diagram above represents tables A, B, & C. The length of the rectangle, the longer side, is 65 feet long. The width of the rectangle is 48 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 2. If the area of circle B is 251.67% of the area of circle A, what is the area of circle A, rounded to the nearest hundredth? 


Area of circle = 3.14 * radius2







34. The diagram above represents tables A, B, & C. The length of the rectangle, the longer side, is 65 feet long. The width of the rectangle is 48 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 2. If the area of circle B is 251.67% of the area of circle A, what is the length of the diagonal line, rounded to the nearest hundredth?


Pythagorean Theorem = A2 + B2 = C2








35. The diagram above represents tables A, B, & C. The length of the rectangle, the longer side, is 72 feet long. The width of the rectangle is 48 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 2. If the area of circle B is 251.67% of the area of circle A, what is the area, in square feet, of the unshaded area of the rectangle, rounded to the nearest whole number?


Area of circle = 3.14 * radius2

 




 



 

 


 

 


 


         

           

36. Determine the diameter of the cylinder’s face above that would have a volume of approximately 41,034 cubic cm and a height of 12 cm. Round to the nearest hundredth.


Volume of cylinder = 3.14 * radius2 * height







37. Determine the height of the cylinder above that would have a volume of approximately 42,690 cubic cm and a radius of 40 cm. Round to the nearest hundredth.


Volume of cylinder = 3.14 * radius2 * height







38. Determine the radius of the cylinder’s face above that would have a volume of approximately 68,960 cubic cm and a height of 16 cm. Round to the nearest hundredth.


Volume of cylinder = 3.14 * radius2 * height