Question 1

What is 5/12?
A).41666
B).42
C).4333
D).41333
E).415

Accepted Answer

5/12 is .41666. The 6s repeat forever.
Key Takeaway: Things frequently come in dozens, so dividing by 12 in case interviews can be quite common.
1/12 = .083333
5/12 = .41666
7/12 = .58333
11/12 = .916666
There is a bit of a pattern in there, but we don't think it's helpful to try to use a pattern. Rather, just take the time to memorize these 4 decimals. The rest can be reduced.

Question 2

A car that regularly sells for $29,600 has been marked down to $22,100. What is the approximate percentage of the discount?
A)20%
B)22%
C)25%
D)30%
E)33%

Accepted Answer

First, determine the amount of the markdown in dollars (29,600 - 22,100 = 7,500). Then, divide the total markdown of $7,500 by the original price of $29,600, which results in 0.2533. Move the decimal point two places to the right, to determine that the markdown is a little over 25%.
Key takeaway: When working with markdowns, markups, and percentages in general, be aware of the quickest ways to calculate.
Also, remember that to change a decimal to a percent, move the decimal 2 places to the right, and add a percent sign. To change a percent to a decimal, move the decimal 2 places to the left, and remove the percent sign. If there is no decimal point, it is understood to be at the end of the number.

Question 3

Olivia has $5,000 to invest. She invests in a fund at 4% interest. How long will it take for her money to double?
A)10 years
B)12 years
C)15 years
D)18 years
E)20 years

Accepted Answer

To calculate this answer mentally, use the Rule of 72. To determine how long it takes for something that grows to double (in this case, an investment; other examples - GDP, population), divide 72 by the rate of growth. In this example, Olivia's money would double in 18 years (72/4).
Key Takeaway: The rule of 72 is a quick mental calculation tool that provides an estimate of how long it would take an investment to grow. To determine how long it would take for an investment to triple in value, divide 114 by the interest rate (or expected rate of return).
To determine how long it would take for an investment to quadruple in value, divide 144 by the interest rate. Remember, these are not absolute, they are estimates. However, they provide a general guideline for planning purposes.

Question 4

Greg's Golf Shop hires teenagers to collect lost golf balls from the city's golf courses. The golf balls are then packaged in boxes of a dozen for reselling. This summer, the workers collected 2,244 golf balls. After repackaging, how many golf balls will be left over?
A)2 golf balls
B)3 golf balls
C)4 golf balls
D)6 golf balls
E)No golf balls will be left over

Accepted Answer

They will all fit into the boxes, with no leftovers. This problem is asking you whether 2,244 is divisible by 12. It is, because 2,244 is divisible by both 3 and 4 (which is how you tell if a number is divisible by 12).
Key Takeaway: There are quick ways to tell if a large number is divisible by smaller ones.
A number is divisible by 2 if its last digit is even.
A number is divisible by 3 if, when you add all 3 digits together, that sum is divisible by 3.
(In the answer above, adding 2+2+4+4 = 12; 12 is divisible by 3, so 2,244 is as well.)
A number is divisible by 4 if the last 2 digits of the number is divisible by 4.
(In the answer above, 44 is divisible by 4, so 2,244 is divisible by 4.)
A number is divisible by 5 if the last digit is 5 or 0.
A number is divisible by 6 if it is even, and divisible by 3.
To determine if a number is divisible by 7, take the last digit, double it, then subtract it from the rest of the number. If the resulting number is divisible by 7, the original number is. For example, consider 132.
Take the last digit (2), double it (4), then subtract that from the rest of the number (13). 13-4 is 9. Nine is not divisible by 7, so 132 isn't either.
A number is divisible by 8 if the number formed by its last 3 digits is divisible by 8.
A number is divisible by 9 if, when you add the digits together, that sum is divisible by 9.

Question 5

Kathleen projects her expenditures for purchasing office supplies to be $85/week. How much will she spend on office supplies over a 4-week time span?
A)$290
B)$325
C)$340
D)$355
E)$342

Accepted Answer

$340. It is very easy to mentally multiply a number by 4. Simply double the number, then double that resulting number. In this case, 85 doubled is 170, and 170 doubled is 340.
Key Takeaway: This trick of doubling numbers twice in order to multiply by four comes in handy when you are doing calculations related to quarters, for example. This isn't a tough question, but speed is what matters here.

Question 6

In initial production of a new video game, it is discovered that the ratio of functional games to defective games is 20 to 1. If 360 games are produced, how many could be expected to be defective?
A)12 games
B)15 games
C)16 games
D)18 games
E)20 games

Accepted Answer

18 games.
Set this problem up as a ratio: 1 out of every 20 (1/20) equal to x out of 360 (x/360). Cross-multiply to find that 18 games would be defective.
Key Takeaway: Become proficient at visualizing ratios, and setting up the cross-multiplication in Solving these relationships is singularly dependent upon setting the fractions up correctly, then doing the calculation accurately.

Question 7

What is 1/7?
A).142857
B).153
C).12
D).125
E).144

Accepted Answer

Key Takeaway: If you memorize the sequence 1-4-2-8-5-7 you can calculate any number divided by 7 quickly.
1/7 = .142857
2/7 = .285714
3/7 = .428571
4/7 = .571428
5/7 = .714285
6/7 = .857142
Editor's Note: In one of my case interviews, I was asked to calculate how many $70 devices I would need to reach $2 million in revenue. Since someone had taught me this trick, I dispensed with estimating, and told the interview the answer was 28,571.428571. I got the job.

Question 8

The wholesale price of a fountain pen is $2.80. What will the new price be if a 5% increase is instituted?
A)$2.84
B)$2.90
C)$2.94
D)$2.96
E)$2.97

Accepted Answer

$2.94. To find 5% of a number, first find 10%, then halve it. In this case, 10% of $2.80 is $0.28. Half of that is $0.14. Add the 14 cents to $2.80 to get $2.94.
Key Takeaway: Logical reasoning is critical with percent problems. Knowing how to manipulate numbers in relation to "friendly" numbers is important. For example, to find 5%, halve 10%. To find 20%, double 10%.

Question 9

An 8-year-old boy named Albert has a 10-year-old brother named Benny. Benny joins the service at 20 leaving Albert feeling bitter that he no longer has a brother to look up to. After 7 years, Albert is finally ready to make up with Benny who has been out of the service for 5 years. How old is Albert now?
A)27
B)15
C)25
D)32
E)23

Accepted Answer

25
There's a 2-year difference between the boys. Benny leaves to join the service at 20 and 7 years pass, making him 27. That means Albert is 25. Note that it's irrelevant that he's been out of the service for 5 years.
Key Takeaway: Not all of us love brain teasers. If this is you - don't panic! Carefully sift through what information you have, throw out the useless information and keep what you can use.

Question 10

How long will it take for Ron's $37,353 investment to double if he expects 9% returns?
A)5 years
B)8 years
C)9 years
D)9)5 years
E)10 years

Accepted Answer

To calculate this answer mentally, use the Rule of 72.
Divide 72 by the rate of growth. In this example, Ron's money would double in 8 years (72/9). The rule of 72 is a quick mental calculation tool that provides an estimate of how long it would take an investment to grow double.
Key Takeaway: For a few days, practice this every time you see a growth rate in the news paper or at work.

Question 11

Seven/Twelve has $4 million in sales over the past week. What were the approximate sales per day?
A)$589,000
B)$571,000
C)$518,200
D)$552,000
E)$578,750

Accepted Answer

$571,000. $4 million divided by 7 days is an average of $571,429 per day.
Key Takeaway: Dividing by seven is an important skill because of the week unit is frequently used. If you remembered the repeating decimal we gave you earlier, all you have to do is move it over in this question.
1/7 = .142857
2/7 = .285714
3/7 = .428571
4/7 = .571428
5/7 = .714285
6/7 = .857142

Question 12

If the speed of a car is 200 km per hour, how may minutes does it take to travel 60 km?
A)3 1/3 hours
B)20 minutes
C)18 minutes
D)22 minutes
E)24 minutes

Accepted Answer

18 minutes. The quickest way to do this problem is to divde 60 by 200.
You can quickly reduce that to 3/10. Then multiply 3/10 by 60 to get 18 minutes.
Key Takeaway: Again, we can't emphasize the value of being really comfortable with the time units. 60 breaks down nicely with fractions as it is divisible by 2, 3, 4, 5, 6, 10, 12, 15, 20 and 30.

Question 13

94% of Jim's income last year came from his salary. The rest came from awards his prize winning poodle won in dog shows. If he won $9,600 in dog shows, what was his total income?
A)$145,000
B)$160,000
C)$170,000
D)$120,000
E)$118,600

Accepted Answer

$160,000.
In this case, 94% is a pretty lousy number to work with. 6% is much better.
If 6% equals $9,600, then 1% = $1,600. Thus, 100% is equal to $160,000.
Key Takeaway: This question is all about speed. By finding easy numbers to work with, you can do this question in a flash.

Question 14

A business has decided to resurface a floor section in their warehouse. The section is a square that measures 15 feet on one side. How much is the area that needs to be resurfaced?
A)30 square feet
B)60 square feet
C)215 square feet
D)225 square feet
E)250 square feet

Accepted Answer

15 x 15 is 225 square feet.
Key Takeaway: To square any number that ends in 5, use this trick.
Take the first digit of the number, in this case 1. Multiply that by itself and the next consecutive digit, which is 2.
So far, we have 1 x (1+1) = 1 x 2 = 2. Then, simply put 25 on the end, which results in 225. This trick works for squaring any number that ends in 5.

Question 15

What is 2/9?
A).17
B).19
C).1818
D).2222
E).235

Accepted Answer

2/9 is .22222… The 2s repeat forever.
Key Takeaway: The 9s are easy if you know the trick.
1/9 = .11111…
2/9 = .22222
3/9 = 1/3 = .333333
And so on.

Question 16

What is 3/8s?
A).36
B).38
C).375
D).3833
E).365

Accepted Answer

3/8 is .375.
Key Takeaway: 1/8 is equal to .125.
0.125 is a pretty easy number to work with. Just multiply by your numerator. So 7/8 is .125 times 7, or .875. Dividing by 8 is pretty common, so we recommend you save yourself precious seconds by remembering this.

Question 17

What is 5/6?
A).8
B).8444
C).8333
D).825
E).875

Accepted Answer

5/6 is equal to .8333. The 3s repeat forever.
Key Takeaway: Memorize 1/6 and 5/6 to speed your calculations up (trust me, it's worth it).
1/6 = .166666
5/6 = .833333

Question 18

It is sunny on 83% of the 120 days Silver Slides Waterpark is open on average. How many days will Silver Slides be open this summer?
A)100
B)102
C)98
D)99
E)92

Accepted Answer

100. 83% is equal to approximately 5/6. 5/6 times 120 is equal to 100.
Key Takeaway: Covert tricky percentages into fractions that are easy to work with.

Question 19

What is 1/11?
A).095
B).0909
C).0888
D).9414
E).142857

Accepted Answer

1/11 is .090909. The zero and nine repeat indefinitely.
Key Takeaway: Dividing by 11 is far less common, but if you bought this app, you're not taking any chances. To master fractions with 11 as the denominator, just multiply your numerator by 9 to figure out the repeating digits.
1/11 = .090909
2/11 = .181818
3/11 = .272727
4/11 = .363636
5/11 = .454545
6/11 = .545454
7/11 = .636363
8/11 = .727272
9/11 = .818181
10/11 =.90909

Question 20

Which type of chart or graph would be the best graphic organizer to demonstrate the relationship between foreign aid to a nation and the decrease in child mortality rates among its citizens?
A)Bar graph
B)Line graph
C)Pie chart
D)Histogram

Accepted Answer

Line graphs are the best graphic organizer to demonstrate a relationship between two factors over a period of time, such as the effect of foreign aid on the child mortality rate of an impoverished nation. Histograms are best suited for displaying the distribution of probability. Pie charts are best for displaying how a whole unit is divided into parts. Bar graphs are best for displaying discrete information in a comparative manner.

Quiz 4: Hesi: Mathematics

What is 5/12?

A car that regularly sells for $29,600 has been marked down to $22,100. What is the approximate percentage of the discount?

Olivia has $5,000 to invest. She invests in a fund at 4% interest. How long will it take for her money to double?

Greg's Golf Shop hires teenagers to collect lost golf balls from the city's golf courses. The golf balls are then packaged in boxes of a dozen for reselling. This summer, the workers collected 2,244 golf balls. After repackaging, how many golf balls will be left over?

Kathleen projects her expenditures for purchasing office supplies to be $85/week. How much will she spend on office supplies over a 4-week time span?

In initial production of a new video game, it is discovered that the ratio of functional games to defective games is 20 to 1. If 360 games are produced, how many could be expected to be defective?

What is 1/7?

The wholesale price of a fountain pen is $2.80. What will the new price be if a 5% increase is instituted?

How long will it take for Ron's $37,353 investment to double if he expects 9% returns?

Seven/Twelve has $4 million in sales over the past week. What were the approximate sales per day?

If the speed of a car is 200 km per hour, how may minutes does it take to travel 60 km?

94% of Jim's income last year came from his salary. The rest came from awards his prize winning poodle won in dog shows. If he won $9,600 in dog shows, what was his total income?

A business has decided to resurface a floor section in their warehouse. The section is a square that measures 15 feet on one side. How much is the area that needs to be resurfaced?

What is 2/9?

What is 3/8s?

What is 5/6?

It is sunny on 83% of the 120 days Silver Slides Waterpark is open on average. How many days will Silver Slides be open this summer?

What is 1/11?

Which type of chart or graph would be the best graphic organizer to demonstrate the relationship between foreign aid to a nation and the decrease in child mortality rates among its citizens?