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60:03

Answer Key for Practice Test 13




Practice Test 13


38 questions in 60 minutes

Basic, Intermediate, & Advanced Question-Types


Interactive Quiz

Contractor Math & Logic Quiz

1. You just wrapped up a contract project that paid $64,000 in gross income.
Your state tax rate is 0%, and your federal tax rate is 25%.
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: $49,000 •State tax rate: 0% •Federal tax rate: 20%
What is the total amount you’ll owe in taxes this year?




3. A batch of 80 liters of cleaning solution was distributed into open containers across a warehouse. After a few hours, 20% had evaporated.
What is the remaining volume of the solution?




4. An artist filled a tub with 60 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 5 swim meets, 1 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 3.75 hours troubleshooting a software issue. How many minutes did that take?




7. During a race, Sarah finished the 10K in 56.8 minutes. How many seconds did she take to complete the race?




8. Quinn poured herself 2/5 of a pitcher of iced tea. Later, she drank another 1/8 of the pitcher. What percentage of the iced tea in the pitcher still remains?




9. A fruit tart was divided into 30 equal slices. Jordan had 6 slices after dinner and snuck 9 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 1 time, Lever W 2 times, Lever X 3 times, and then read the final display: 220.
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 45, then the player entered →1 1 time, entered ↑10 2 times, entered ↓5 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 7 mugs. After sorting, it was found that 35 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: 64, 28, 55, 51, 35, and 17 figurines.
If 40 total were found with defects, how many figurines are left in good condition?




14. Each handcrafted table requires 2 and 4/5 liters of varnish. If a workshop is preparing 50 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 75% off. If the total for all sofas is $1,655, which equation models the regular price of one sofa?




16. In a customer survey about car brands, 160 people were asked to pick their favorite.
If 32 people chose Brand V, and there are only 5 brands, what percent of the people chose Brand W? (Round to the nearest percent.)
•1/5 chose Brand X •1/4 chose Brand Y •1/8 chose Brand Z
If 32 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 4.5 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 1/4 of a project in 3 weeks. If she maintains the same progress rate, how many additional days will she need to reach approximately 75% completion? Round to the nearest whole number.




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

Table with Bold Borders

Item Quantity Padding per Unit (ft)
Projectors 6 25
Floor speakers 4 20
Touchscreen kiosks 7 7

How many total feet of padding are required?




20. You’re helping install a traveling dinosaur exhibit. Each display requires the following protective casing:
•Triceratops Skull: 620 ft •Fossil wall panel: 530 ft •Mini fossils (x15): 50 ft each
What’s the total length of protective casing needed?
How much total income taxes will you owe from this contract?




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

Table with Bold Borders

Metric Before After
Total students 400 400
Avg. words read per student 120 144

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 30 minutes •Worker B builds one shelf every 15 minutes •Worker C builds one shelf every 40 minutes
If they all begin cooperatively building at the same time, how many completed shelves will they build in 4 hours and 45 minutes ?




23. Three workers assemble furniture:
•Worker A assembles one furniture set every 30 minutes •Worker B assembles one furniture set every 20 minutes •Worker C assembles one furniture set every 80 minutes
If they all work together, how many minutes will it take to complete 60% of a furniture set? (Round to the nearest minute)




24. A subscription analytics tool offers two pricing tiers:
•Plan A: $20 base + $0.013 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 31,200 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 52 gallons of wall paint for a client. Each gallon contains 5% 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 Tuesday night. The base rental rate is $42 per day, but on Fridays and Saturdays, the rate increases by $12 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 $150 per year, paid in equal monthly installments, but for the first 3 months, you pay only 50% of the cost of the installments; after 3 months, the regular monthly rate of $10 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 $150/year. With 3,000 customers, the company earns a steady annual profit of $200,000. Due to rising labor rates, total expenses rise by $51,000 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 1.1 times the hours worked during the typical 5-day workweek. On this lengthened week, the office closes at 7:00 PM, and the typical workweek lasts 44 hours and 0 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:
•6 parts Pineapple Juice •2 parts Mango Juice •8 parts Coconut Water
They prepare 10 liters of the mix for a party. However, to adjust the flavor profile, they decide to add 3 liters of Pineapple Juice. To restore the original flavor balance, how many liters of Mango Juice should they add after the additional correct amount of Coconut Water is added? Round to the nearest hundredth.




31. A paint factory blends pigments to create a custom shade. The color mix requires these proportions:
•6 parts Red Pigment •2 parts Blue Pigment •8 parts Yellow Pigment
The factory creates 20 liters of paint. The production manager decides to enhance the shade by adding 4 liters of Yellow 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 Blue 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 320 centerpieces are required.
•30% of them must be orchid-based, priced at $30 each.
The rest are split evenly between 2 varieties of seasonal flowers: •1 type of exotic tropical flowers priced at $34 each, •and 1 type of local blooms priced at $32 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 95 feet long. The width of the rectangle is 45 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 312.5% of the area of circle A, what is the area of circle A, rounded to the nearest hundredth?
Area of circle = 3.14 * radius 2




34. The diagram above represents tables A, B, & C. The length of the rectangle, the longer side, is 95 feet long. The width of the rectangle is 45 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 312.5% of the area of circle A, what is the length of the diagonal line, rounded to the nearest hundredth?
Pythagorean Theorem = A 2 + B 2 = C 2




35. The diagram above represents tables A, B, & C. The length of the rectangle, the longer side, is 95 feet long. The width of the rectangle is 45 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 312.5% 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 * radius 2




36. Determine the diameter of the cylinder’s face above that would have a volume of approximately 83,084 cubic cm and a height of 15 cm. Round to the nearest hundredth.
Volume of cylinder = 3.14 * radius 2 * height
How much total income taxes will you owe from this contract?




37. Determine the height of the cylinder above that would have a volume of approximately 52,640 cubic cm and a radius of 37 cm. Round to the nearest hundredth.
Volume of cylinder = 3.14 * radius 2 * height




38. Determine the radius of the cylinder’s face above that would have a volume of approximately 63,500 cubic cm and a height of 20 cm. Round to the nearest hundredth.
Volume of cylinder = 3.14 * radius 2 * height




   
       
   
 
 
 

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  <h2>Contractor Math & Logic Quiz</h2>

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    <div class="question-title">1. You just wrapped up a contract project that paid $64,000 in gross income. Your state tax rate is 0%, and your federal tax rate is 25%. How much total income taxes will you owe from this contract?</div>

    <label><input type="radio" name="q1" value="$16,000" /> $16,000</label><br>

    <label><input type="radio" name="q1" value="$12,000" /> $12,000</label><br>

    <label><input type="radio" name="q1" value="$14,000" /> $14,000</label><br>

    <label><input type="radio" name="q1" value="$18,000" /> $18,000</label>

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   <!-- Add the rest of your 17 questions here in the same format -->


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