Robert Hurt, online










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15:03

1. You grossed $102,000 in 1099 income. Your state tax rate is 5.5%, and your federal tax rate is 29%.

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


A. $35,130

B. $35,150

C. $35,170

D. $35,190

E. $35,210

Key: 29% + 5.5% = 34.5% x 102,000 = 35,190 is the correct answer







2. A caterer bought 500 gallons of water for her kool-aid. Her 2 assistants used 30% of the water for the koolaid before she noticed the water she bought wasn't purified. How many gallons of purified water does she need?


A. 150

B. 150

C. 200

D. 350

E. 500

Key: If none of the water was purified, then all 500 gallons of water need to be purchased. 500 is the correct answer.





3. Jasmine submitted 11 of her 12 assignments early. Which decimal reflects the share submitted ahead of time?


A. 0.83

B. 0.88

C. 0.91

D. 0.92

E. 0.95

Correct Answer: D. 0.92

Rationale: 11 ÷ 12 ≈ 0.92.





4. You’re solving a puzzle box for a number that changes its display based on levers. Lever K increases the number by 10, Lever L increases it by 1, Lever M decreases it by 4, and Lever N decreases it by 18. You pulled Lever L two times, then Lever N once, then Lever K once. The final display reads 647. What number was originally displayed?


A. 651

B. 652

C. 653

D. 654

E. 655

Correct Answer: C. 53

Rationale: Since you are given the end result, 47, AND since you are given chronological instructions, use those chronological instructions backwards and invert each operation.


647 – 10 = 637, then

637 + 18 = 655, then

655 – 2 = 653.


653 is your answer.





5. A shipment of 24 crates arrived at a glass factory, each containing 5 vases. After inspection, 60 vases were found broken. What percentage of the shipment was damaged?


A. 32%

B. 44%

C. 50%

D. 65%

E. 72%

Correct Answer: C. 50%

Rationale: 24 crates of 5 vases in each crate = 24 × 5, which is 120 vases.

              60 of the 120 vases were damaged, which means we should divide.

              60 ÷ 120 = 0.50, which is 50%.





6. Each hanging planter requires 2 and 5/8 feet of rope. If a gardener prepares 8 planters, how many feet of rope are needed?


A. 20 and 1/8

B. 20 and 3/8

C. 20 and 5/8

D. 20 and 3/4

E. 21 

Correct Answer: E. 21 

Rationale: 1 planter needs 2 and 5/8 feet of rope, so we multiply to get the total for 8 planters.

               Convert the 2 and 5/8 into an improper fraction (21/8)

               (21/8   ×   8 =  168/8  =  21). Rewritten as a mixed number, this is 21.

               21 is the correct answer.





7. Four baristas at BrewHaus Café are preparing espresso drinks.


Barista A makes 1 drink every 3 minutes

Barista B makes 1 drink every 4 minutes

Barista C makes 1 drink every 5 minutes

Barista D is a trainee and makes 1 drink every 10 minutes


If they all work for 1 hour, how many drinks will they make together?

A. 50

B. 51

C. 53

D. 58

E. 60

Correct Answer: C. 53

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


A – 20 drinks/hour; 

B – 15 drinks/hour; 

C – 12 drinks/hour; 

D – 6 drinks/hour


Collectively, they can all prepare 53 drinks an hour.

53 is the correct answer.





8. A subscription analytics tool offers two pricing tiers:


Plan A: $30 base + $0.005 per transaction for the first 7,000 transactions, then $0.007 per transaction after that

Plan B: $90 base + $0.0028 per transaction (flat rate, no tiers)


If a business averages 11,000 transactions per month, what is the average unit transaction cost under the more cost-effective plan?


Formula: (total cost / total transactions)


A. $0.00820

B. $0.00835

C. $0.00845

D. $0.00855

E. $0.00865

Key:

A – (30 + (.005 * 7,000) + (.007 * 4,000) = 30 + 35 + 28 = 93)

B – (90 + (0.0028 * 11,000) = 90 + 30.8 = 120.8)



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

Therefore, $93.00 / 11,000 = 0.00845

0.00845 is the correct answer





9. The diagram below represents tables A, B, & C. The length of the rectangle, the longer side, is 92 feet long. The width of the rectangle is 63 feet long. Circle A is equivalent to Circle C, and the difference between r and s is 6. If the area of circle B is 620.07% of the area of circle A, what is the radius of circle A?


Area of circle = 3.14 * radius2





A. 12.65 sq. ft.

B. 12.95 sq. ft.

C. 13.75 sq. ft.

D. 13.95 sq. ft.

E. 14.65 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 63. Half of this is the radius of Circle B.


Area of circle B = 3.14 * 31.52 , which calculates to 3115.665


3115.665         = area of circle A * 620.07% (divide both sides by 6.2007)

502.47             = area of circle A

502.47             = 3.14 * radius2 (divide both sides by 3.14)

160.0223         = radius2 (find the square root)

12.6499999     = radius

12.65 is radius.


         

 

10. Determine the height of the cylinder below that would have a volume of approximately 80,168 cubic cm and a radius of 16.75 cm. 



Volume of cylinder = (3.14 * radius2 * height)


A. 86 cm

B. 87 cm

C. 88 cm

D. 90 cm

E. 91 cm


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

       80,168                 = (3.14 * 16.752 * height) (You should divide both sides by 280.5625)

       285.74                 = (3.14 * height) (You should divide both sides by 3.14)

       91                       = (height)

       91 is the correct answer.