1. You’re tweaking a game with five buttons and decide to do a trial. Button A subtracts 5, Button B adds 3, Button C adds 7, Button D subtracts 2, and Button E multiplies by 3. The display currently reads 341. If you then hit Button B twice, then hit Button D three times, and then hit Button E twice, what number will be displayed afterward?

A.  3,069

B. 3,148 

C. 3,195 

D. 3,396 

E. 3,742

Key:  341 + 6 = 347, then

        347 – 6 = 341, then

        341 * 9 = 3,069.

  3,069 is the correct answer.

2. Out of a delivery of 180 wine glasses, 1/3 were damaged due to poor packing. How many glasses did not break?

A. 120

B. 125 

C. 130 

D. 135 

E. 140

Key:   If 1/3 were damaged, then 2/3 were not.

        2/3 of 180 is 120.

  120 is the correct answer

3. Three pumps are draining a pool:

• Pump A drains the pool in 4 hours
• Pump B drains the pool in 6 hours
• Pump C drains the pool in 12 hours

Working together, how long will it take them to drain 88% of the pool?

A. 1 hour and 16 minutes
B. 1 hour and 26 minutes
C. 1 hour and 36 minutes
D. 1 hour and 46 minutes
E. 1 hour and 56 minutes

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

         of measurement, which is “per-hour”.

         A – 1/4 drainage/hour;

         B – 1/6 drainage/hour;

         C – 1/12 drainage/hour

         Collectively, they can all drain 1/2 a pool an hour.

         Make this into an equation. Since you’re needing to find the time to drain .88 of a pool, divide           .88 by .5 to find your multiplier (1.76)

         1/2 (drainage of pool) (* 1.76) = 60 minutes (* 1.76)

         0.88 (drainage of pool)           = 105.6 minutes, or 1 hour and 45.6 minutes

         “1 hour and 46 minutes” is the correct answer.

4. A lab technician is working with 2,500 milliliters of a saline solution that contains 0.06% potassium chloride by volume. How many milliliters of potassium chloride are present in the mixture?

A. 1.25 mL
B. 1.5 mL
C. 125 mL
D. 150 mL
E. 41,666.7 mL

Key:   This represents a “unit conversion” question.

         First, convert .06% into a decimal by moving the decimal to the left twice (dividing by 100),               which is .0006

         Then, multiply 2500 by .0006, which is 1.5

         1.5 mL is the correct answer

5. You’ve rented a car for a road trip that will last 10 nights, starting this Thursday night. The base rental rate is $45 per night, but on Fridays and Saturdays, the rate increases by $25 per day. During the last two nights 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?  

A. $57.20

B. $57.75
C. $58.25
D. $58.70
E. $59.20

Key:   This represents a “tiered/dynamic pricing” question that usually focuses on averages.

              First, carefully figure out the total costs: 6 nights @ 45, 2 nights @ 70, 2 nights @ 91

              Thursday –   $45

              Friday –       $70

              Saturday –    $70

              Sunday –      $45

              Monday –     $45

              Tuesday –     $45

              Wednesday – $45

              Thursday –   $45

              Friday –       $91

              Saturday –    $91

              Total –         $592, so the average is $592 / 10 nights, which is $59.20 per night

              $59.20 is the correct answer

6. A bakery sells 40 custom cakes per week at an average profit of $12 per cake. During the holidays, premium ingredients raise supply costs by 20%, cutting total weekly profits by $96. To maintain normal weekly profits during the holiday, how much extra should the bakery charge per cake?

A. $1.20                   

B. $1.80                   

C. $2.40                    

D. $2.80                   

E. $3.20

Key:   This represents a “profitability” question that can be simple if you focus.

        The question asks about “an extra charge per cake” to recover profit, so figure out

        what profit you lost and divide by what you have.

        What profit you lost = $96

        What you have = 40 cakes

        Therefore $96 lost profit / 40 cakes = $2.40 per cake

        $2.40 is the correct answer.

7. A company has a special project in which employees work a specific number of hours during a lengthened workweek, which is 1.25 times the hours worked during the typical workweek. On this lengthened week, the office closes at 6:40 PM, employees take 1 hour for lunch, and the typical workweek lasts 45 hours and 45 minutes. About what time do employees begin work on the lengthened week?

A. 5:45 AM
B. 6:00 AM
C. 6:15 AM (12 hours and 26 minutes)
D. 6:30 AM
E. 6:45 AM

Key:   This represents a “time calculation” question, so you must be ready to view 1 hour as 60                  minutes, put time into fractions and percentages, and get a little abstract.

        Lengthened workweek = 1.25 typical workweek

        Lengthened workweek = 1.25 (45.75 hours), which is 57.1875.

        A workweek is 5 days, so divide this by 5, which is 11.4375 hours, which is 11 hours and 26            minutes.

        We are given an end time: 6:40PM, so let’s subtract the lunch hour, which is 5:40.

        Now, lets subtract the 26 minutes, which is 5:14.

        Now, let’s subtract the hours, using the 24-hour metric.

        17:14 – 11 hours = 6:14AM

  6:15AM is the correct answer.

8. A company produces a special cocktail mix that uses three ingredients in a specific ratio:

• 5 parts Pineapple Juice
• 3 parts Mango Juice
• 7 parts Coconut Water

They prepare 8 liters of the mix for a party. However, to adjust the flavor profile, they decide to add 1.5 liters of Mango Juice. To restore the original flavor balance, how many liters of Coconut Water should they add after the additional correct amount of pineapple juice is added?

A. 2.5 L

B. 3.5 L

C. 4.5 L

D. 5.5 L

E. 6.5 L

Key:   This represents a “measures-per-part” question, so focus on ratios and relationships.

          It starts by stating a balanced mix was already made.

          The relationship between mango juice : coconut water is 3 : 7.

          Use this ratio to divide 3 by 2 to get 1.5.

          Now if we divide the 7 by 2, we get 3.5.

  3.5 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 length of the diagonal line?



Pythagorean Theorem = A² + B² = C²

A. 73.95 sq. ft.

B. 74.36 sq. ft.

C. 74.86 sq. ft.

D. 75.29 sq. ft.

E. 75.73 sq. ft.

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

75.29 is the correct answer

10. Determine the height of the cylinder’s face below that would have a volume of approximately 804 cubic cm and a radius of 4 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)

         804                    = (3.14 * 4² * height) (Find 4²)

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

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

         16                     = (height)

         16 is the correct answer.