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15:03

1. You’re at the arcade playing a numbers game with knobs. Knob 1 increases the number by 5, Knob 2 increases it by 1, Knob 3 decreases it by 2, and Knob 4 decreases it by 20. The display currently shows 52. If you now pull Knob 2 seventeen times, then pull Knob 4 twice, and then pull Knob 1 twelve times, what number will the display show?


A. 42 

B. 58   

C. 86 

D. 89

E. 91

Key:  52 + 17 = 69, then

         69 – 40 = 29, then

         29 + 60 = 89.

  89 is the correct answer.















2. An art gallery ordered 250 glass frames, which were delivered in 10 separate boxes. Due to improper packaging, 4 frames broke in each of the first 3 boxes, and 2 broke in each of the remaining boxes. How many frames arrived intact?


A. 224

B. 226 

C. 232 

D. 234 

E. 238

Key:   4 frames broke in each of the first 3 boxes  (4 * 3 = 12), and

          2 frames broke in each of the remaining (7) boxes (2 * 7 = 14), so

   

          14 + 12 = 26 broken frames.

          250 total frames – 26 broken frames = 224 frames.

  224 is the correct answer














3. A landscaper needs 3 and 2/3 bags of mulch to cover one flower bed. If she’s preparing 7 beds for a project, how many bags of mulch will she need in total?


A. 24 and 1/3 

B. 24 and 2/3 

C. 25 and 1/3 

D. 25 and 2/3

E. 26 and 1/3

Key:   1 bed needs 3 and 2/3 bags of mulch, so we multiply to get the bags for 7 beds. 

          Convert the 3 and 2/3 into a decimal (3.666)

          3.666 * 7 = 25.662. Rewritten as a mixed number, this is about 25 and 2/3.

          25 and 2/3 is the correct answer















4. A bakery offers: Buy 4 cupcakes, get 1 more for 60% off. If the total cost is $18.80, which equation can be used to find the regular price per cupcake?


A. c × 5 = 18.80
B. 5c − 0.4 = 18.80

C. 4c + 0.4 = 18.80
D. 4.4c = 18.80

E. 4c + 1 = 18.80

Key:   If you look at the offer, it is buy 4, get another 60% off.

         This means the 5th cupcake costs 40% of regular price, so

         4.4 * (regular price) = total sales price.

  4.4c = 18.80 is the answer















5. Out of 150 people surveyed about soft drinks:


  • 1/3​ preferred ColaCo
  • 2/5​ preferred FizzPop
  • 1/6​ preferred BurstBrew


What fraction of the people preferred none of the three?


A. 1/30​
B. 1/10​
C. 1/4​
D. 1/5​
E. 7/30​

Key:   You’re calculating the remainder, but the denominators aren’t the same.

          Convert fractions into common denominators.

          ColaCo         (1/3 = 10/30) +

          FizzPop        (2/5 = 12/30) + 

          BurstBrew     (1/6 = 5/30)

                                    = 27/30


          The remainder is 3/30, which is equal to 1/10

  1/10 is the correct answer.
















6. A project has been underway for a short while, and Sofia has completed 5/12 of it in 3 weeks. If she maintains this same progress rate, how many additional days will she require to finish the remaining work? Round your answer to the nearest whole number.


A. 24
B. 26
C. 28
D. 29
E. 32

Key:   You can treat this problem like an equation. Convert both sides into sensible formats.

          5/12 (of a project) = 3 weeks – now, the answer is in days, so convert this too

          5/12 (of a project) = 21 days


          To finish the project is to get from 5/12 to 1, which means we should multiply by 12/5

          on both sides


          5/12 (of a project) * 12/5 = 21 days * 12/5

          1 (project)                              = 50.4 days


          Now, if you have already gone through 21 days and you have a total of 50.4 days,

          just subtract the two (50.4 – 21 = 29.4, which is approximately 29 days)


          29 is the correct answer
















7. An app analytics service offers these options:


  • Tier Lite: $0/month, but $0.010 per event
  • Tier Plus: $45/month + $0.0035 per event
  • Tier Pro: $175/month, unlimited usage up to 40,000 events


If you're expecting to generate 32,000 events, what is the average cost per event under the plan that minimizes cost?


A. $0.00486
B. $0.00488
C. $0.00491

D. $0.00494
E. $0.00497

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


          Lite – (0 + (.010 * 32,000)      = 0 + 320,    which is 320

          Plus – (45 + (.0035 * 32000) = 45 + 112,  which is 157

          Pro – (175                                     =                     , which is 175


          Since Plus is cheapest, calculate the average unit cost: (total cost / total transactions)

          Therefore, $157 / 32,000 = 0.00490625

          0.00491 is the correct answer















8. A custom paint supplier prepares 18 gallons of wall paint for a client. Each gallon contains 2.4% titanium dioxide by volume. How many fluid ounces of titanium dioxide are in the entire batch?

(1 gallon = 128 fluid ounces)


A. 55.3 fl oz
B. 57.1 fl oz
C. 58.9 fl oz
D. 59.5 fl oz
E. 61.4 fl oz

Key:   This represents a “unit conversion” question.

          First, convert 18 gallons into ounces by multiplying by 128 (2,304)

          Next, convert 2.4% into a decimal by moving the decimal to the left twice (dividing

          by 100), which is .024

          Then, multiply .024 by 2,304 is 55.296

          55.3 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 C is 153.86 square feet and is 40.5% of the area of circle B, what is the area of circle B?


                 

 

Area of circle = 3.14 * radius2






A. 326.6 sq. ft.

B. 332.7 sq. ft.

C. 346.4 sq. ft.

D. 368.2 sq. ft.

E. 379.9 sq. ft.



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

       Area of circle C (153.86) = 40.5% * area of circle B

       *Divide both sides by 40.5%, which means to divide by .405

       153.86 / .405 = area of circle B

       379.9 sq ft.

  379.9 sq. ft. is the correct answer.

                 

 















10. Determine the diameter of the cylinder’s face below that would have a volume of approximately 804 cubic cm and a height of 16 cm. 



Volume of cylinder = (3.14 * radius2 * height)


A. 2 cm

B. 4 cm

C. 5 cm

D. 6 cm

E. 8 cm




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

         804                   = (3.14 * radius2 * 16cm) (You should divide both sides by 16)

         50.25                 = (3.14 * radius2) (You should divide both sides by 3.14)

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

         4                       = (radius)

         4 is the correct answer.