Robert Hurt, online










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15:03

1. You just wrapped up a contract project that paid $68,000 in gross income. Your state tax rate is 4.75%, and your federal tax rate is 22%.

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


A. $17,390

B. $17,590

C. $17,790

D. $17,990

E. $18,190

Key: 4.75% + 22% = 26.75% x 68,000 = 18,190 is the correct answer





2. A chemist poured exactly 36 liters of a reagent into an open tray for an experiment. Overnight, 20% of the liquid evaporated due to exposure. How many liters are left in the tray the next morning?


A. 27.4

B. 27.6

C. 28.2

D. 28.8

E. 29.4

Key: If 20% evaporated, then 80% is left. 80% of 36 is 28.8. 28.8 is the correct answer





3. Naomi completed 5 of 8 client reports by the deadline.

What decimal shows the fraction of reports finished on time?


A. 0.50

B. 0.625

C. 0.675

D. 0.725

E. 0.800

Correct Answer: B. 0.625

Rationale: 5 ÷ 8 = 0.625.





4. You’re solving a puzzle box for a number that changes its display based on levers. Lever A increases the number by 5, Lever B decreases it by 4, Lever C increases it by 3, and Lever D decreases it by 15. You pulled Lever C two times, then Lever D once, then Lever A two times. The final display reads 41. What number was originally displayed?


A. 36

B. 37

C. 38

D. 39

E. 40

Correct Answer: E. 40

Rationale: Since you are given the end result, 41, AND since you are given chronological instructions, use those chronological instructions backwards and invert each operation.

41 – 10 = 31, then

31 + 15 = 46, then

46 – 6 = 40.


40 is your answer.






5. A delivery of 20 boxes arrived at a candle shop, each holding 9 candles. Upon arrival, 18 were cracked. What percentage of the shipment was damaged?


A. 9%

B. 10%

C. 11%

D. 50%

E. 90%

Correct Answer: B. 10%

Rationale: 20 boxes of 9 candles in each box = 20 × 9, which is 180 candles.

              18 of the 180 candles were damaged, which means we should divide.

              18 ÷ 180 = 0.10, which is 10.0%.






6. Each decorative mirror uses 3 and 1/2 feet of framing material. If a workshop is building 4 mirrors, how many feet of framing material are needed in total?


A. 13 and 1/2

B. 14

C. 14 and 1/2

D. 15

E. 15 and 1/2

Correct Answer: B. 14

Rationale: 1 mirror needs 3 and 1/2 feet of framing material, so we multiply to get the material for 4 mirrors.

              Convert the 3 and 1/2 into an improper fraction (7/2)

              (7/2 × 4 = 28/2 = 14). Rewritten as a mixed number, this is 14.

              14 is the correct answer.






7. Four technicians at SkyShine Solar Co. are installing rooftop panels.


Tech A installs 1 panel every 10 minutes

Tech B installs 1 panel every 12 minutes

Tech C installs 1 panel every 15 minutes

Tech D is a trainee and installs 1 panel every 30 minutes


If all four work together for 2 hours, how many panels will they complete?

A. 30

B. 32

C. 33

D. 34

E. 36

Correct Answer: D. 34

Rationale: This represents a “work rate”, so we need to translate their work into a common unit of measurement, which is “per-hour”.


A – 6 panels/hour; 

B – 5 panels/hour; 

C – 4 panels/hour; 

D – 2 panels/hour


Collectively, they can all install 17 panels an hour. Make this an equation and find the multiplier (2)


17 panels (* 2) = 1 hour (* 2)

34 panels        = 2 hours

34 is the correct answer.






8. A subscription analytics tool offers two pricing tiers:


• Plan A: $30 base + $0.003 per transaction for the first 8,000 transactions, then $0.006 per transaction after that

• Plan B: $57 base + $0.002 per transaction (flat rate, no tiers)


If a business averages 14,000 transactions per month, what is the average unit transaction cost under the more cost-effective plan?


Formula: (total cost / total transactions)


A. $0.00575

B. $0.00600

C. $0.00607

D. $0.00615

E. $0.00630

Key: This represents a “best priced plan” question. Figure out which is cheaper.


A – (30 + (.003 * 8,000) + (.006 * 6,000) = 30 + 24 + 36 = 90)

B – (57 + (0.002 * 14,000) = 57 + 28 = 85)


Since B is cheaper, calculate the average unit cost: cost / transactions

Therefore, $85.00 / 14,000 = 0.00607

0.00607 is the correct answer





9. The diagram below represents tables A, B, & C. The length of the rectangle, the longer side, is 88 feet long. The width of the rectangle is 36 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 3. If the area of circle B is 189.96% of the area of circle A, what is the area of circle A?


Area of circle = 3.14 * radius2








A. 528.92 sq. ft.

B. 535.57 sq. ft.

C. 542.69 sq. ft.

D. 547.31 sq. ft.

E. 553.87 sq. ft.


Key: Honestly, most of the information given is irrelevant. 


Area of circle B = pi * radius2, and the width of the rectangle is the diameter of circle B, which is 36. Half of this is the radius of Circle B.



Area of circle B = 3.14 * 182 , which calculates to 1017.36


1017.36           = area of circle A * 189.96% (divide both sides by 1.8996)

535.57             = area of circle A

535.57 is the correct answer.


         

 

10. Determine the diameter of the cylinder’s face below that would have a volume of approximately 76,320 cubic cm and a height of 16 cm. 



Volume of cylinder = (3.14 * radius2 * height)





A. 72 cm

B. 74 cm

C. 75 cm

D. 76 cm

E. 78 cm


Key: Volume of cylinder = (3.14 * radius2 * height)

       76,320                 = (3.14 * radius2 * 16cm) (You should divide both sides by 16)

       4770                   = (3.14 * radius2) (You should divide both sides by 3.14)

       1519.11               = (radius2) (Use the “square root button” to get the root)

       38.976                 = (radius) (You have a radius. You need the diameter. Multiply by 2)

       77.952                 = (diameter), which is dangerously close to 78

       78 is the correct answer.