Robert Hurt, online










MENTOR · SPEAKER · CONSULTANT

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15:03

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


Here's the financial breakdown:

  • Gross earnings: $68,500
  • State tax rate: 5%
  • Federal tax rate: 20%


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


A. $16,825

B. $16,925

C. $17,025

D. $17,125

E. $17,225

Key: 20% + 5% = 25% x 68,500 = 17,125



2. A batch of 22 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?


A. 17.4 

B. 17.6

C. 17.8 

D. 18.2 

E. 18.4

Key:  If 20% evaporated, then 80% is left.

        80% of 22 is 17.6.

  17.6 is the correct answer



3. You’re adjusting a console with four dials. Dial A subtracts 5, Dial B adds 3, Dial C adds 7, and Dial D subtracts 2. You turned Dial A once, then you turned Dial B twice, and then you turned Dial D three times. The resulting number is 138. What was the starting number?


A. 142 

B. 143

C. 144 

D. 146 

E. 151

Key: Since you are given the end result, 138, AND since you are given chronological instructions, use those chronological instructions backwards and invert each operation.


       138 + 6 = 144, then

       144 - 6 = 138, then

       138 + 5 = 143.

  143 is your answer.




4. A boutique ordered 172 hand-blown ornaments. When unpacking, employees discovered that 1 out of every 13 ornaments had a flaw. How many ornaments were flawless?


A. 144 

B. 148 

C. 157 

D. 159

E. 162

Key:   If 1 of 13 ornaments had a flaw, then 12 of 13 ornaments do not.

         As a fraction, this is 12/13, and 12/13ths of 172 = 158.77.

         This can be rounded to 159.   

  159 is the correct answer



5. A baker uses 2 and 1/3 cups of flour per batch of scones. She prepares 6 batches in the morning. How much flour has she used altogether?


A. 11 cups 

B. 12 and 2/3 cups 

C. 13 and 2/3 cups 

D. 13 and 3/4 cups 

E. 14 cups

Key:   1 batch needs 2 & 1/3 liters of flour, so we multiply to get the varnish for 6 batches. 

           Convert the 2 & 1/3 into a decimal (2.33)

           2.33 * 6 = 14.

          14 is the correct answer



6. A furniture store advertises: Buy 1 sofa at full price, get the second for 25% off. If the total for both sofas is $1,575, which equation models the regular price of one sofa?


A. s + 0.25s = 1,575
B. 2s − 0.25 = 1,575
C. 1.25s = 1,575
D. 1.75s = 1,575
E. 2s = 1,575

Key:   If you look at the offer, it is buy one, get another 25% off.

         This means the second sofa costs 75% of regular price, so

         1.75 * (regular price) = total sales price.

  1.75s = 1,575 is the answer





7. A landscaping team is laying sod over a large lawn.


  • One worker lays sod at 0.75 acres per hour,
  • Another lays 0.5 acres per hour,
  • And two others each complete 0.4 acres per hour.


Working all together, how long (in minutes) will it take them to complete a 3.6-acre lawn?


A. 95
B. 97
C. 100
D. 102
E. 105

Key:   This represents a “work rate”, so we need to translate their work into a common unit

           of measurement, which is “per-hour”.


           Collectively, they can all clean 2.05 acres an hour (0.75 + 0.5 + 0.4 + 0.4).

           We should put this in an equation and find a multiplier. Since we are wanting to           

           translate 2.05 into 3.6, we should divide 3.6 by 2.05, which equates to 1.756.


           2.05 acres (* 1.756) = 1 hour (* 1.756)

           3.5 acres                = 1.756 hours, which when multiplied by 60 is 105.36

           105 is the correct answer.





 

 

8. A data access service charges based on the type of transaction:


  • Plan X: $25 base + $0.006 per "basic" request and $0.012 per "premium" request
  • Plan Y: $50 base + $0.004 per request, regardless of type


In one month, a customer expects 6,000 basic and 3,000 premium requests. Which plan provides the lower average cost per transaction, and what is that cost?


A. Plan Y, $0.00956
B.  Plan X, $0.00958
C.  Plan Y, $0.00959
D.  Plan X, $0.00962
E.  Plan X, $0.00965

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


          X – (25 + (.006 * 6,000) + (.012 * 3,000) = 25 + 36 + 36, which is 97

          Y – (50 + (0.004 * 9,000)                       = 50 + 36, which is 86


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

          Therefore, $86 / 9,000 = 0.00955555

          0.00956 is the correct answer










9. The diagram below represents tables A, B, & C. The length of the rectangle, the longer side, is 72 feet long. The width of the rectangle is 22 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 246.93% of the area of circle A, what is the length of the diagonal line?



Pythagorean Theorem = A2 + B2 = C2




A. Between 74.85 and 74.90

B. Between 75.05 and 75.10

C. Between 75.25 and 75.30

D. Between 75.45 and 75.50

E. Between 75.65 and 75.70


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

You are given the length and width of the rectangle, and the diagonal line creates a right triangle. We use Pythagorean Theorem to figure out the length of this side.


A2 + B2 = C2

222 + 722 = C2

484 + 5184 = C2

5668 = C2

*find the square root of both sides*


75.29 = C

“Between 75.25 and 75.30” is the correct answer









10. Determine the height of the cylinder that would have a volume of approximately 38,584 cubic cm

and a radius of 32 cm.



Volume of cylinder = (3.14 * radius2 * height)



A. 12 cm

B. 14 cm

C. 15 cm

D. 16 cm

E. 18 cm


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

         38,584               = (3.14 * 322 * height) (Find 322)

         38,584               = (3.14 * 1024 * height) (You should divide both sides by 1024)

         37.679               = (3.14 * height) (You should divide both sides by 3.14)

         11.999               = (height)

         12 is the correct answer.