Question 1

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 2

What is the median for the following set of numbers? $3.27, $9.42, $6.15, $5.25, $7.62, $4.86, $2.94, $1.16
A)$6.15
B)$4.07
C)$5.45
D)$5.70

Accepted Answer

The median or the middle number when the numbers are in ascending order ($1.16, $2.94, $3.27, $4.86, $5.25, $6.15, $7.62, $9.42) for the set above is $5.70. Whenever there is an even number of entries in a set, putting two numbers in the middle of the ordered entries, those two numbers are averaged to find the median. The mean is about $4.07. There is no mode because each number occurs only one time in the set.

Question 3

1% is equal to 100 basis point. 44.5 percent is how many basis points greater than 34.5 percent?
A).1
B)10
C)100
D)1,000
E)10,000

Accepted Answer

1,000 basis points is the difference.
1 percent is equal to 100 basis points.
44.5 percent = 4450 basis points
34.5 percent = 3450 basis points.
The difference = 1000 basis points.
Key Takeaway: If you don't already know the term basis points, you should. It's an advantage to be comfortable converting back and forth between basis points and percentage points.

Question 4

What is the mode for the following set of numbers? 1, 7, 8, 7, 9, 1, 2, 4, 5, 1, 3, 6, 6, 0, 9, 3, 0, 1, 4, 6
A)1
B)4)15
C)4
D)2)5

Accepted Answer

The mode (the number that occurs most frequently in the set) for the number set above is 1, which occurred four times in the 20 number series. 4.15 is the mean; 4 is the median or middle number when the numbers are in ascending order: 0, 0, 1, 1, 1, 1, 2, 3, 3, 4, 4, 5, 6, 6, 6, 7, 7, 8, 9, 9.

Question 5

Company A and Company B are awarded a $42,000 project that is to be divided between the companies in the ratio of 4:3. How much money should each company receive?
A)Company A gets $24,000 and Company B gets $18,000.
B)Company A gets $23,000 and Company B gets $19,000.
C)Company A gets $28,000 and Company B gets $14,000.
D)Company A gets $30,000 and Company B gets $12,000.

Accepted Answer

Company A gets $24,000 and Company B gets $18,000.
To solve this problem, first deal with the ratio to find how many "parts" are involved; in this case, 4+3 = 7. So, the $42,000 divided into 7 parts is equal to $6,000 per part. Company A gets 4 parts or $24,000 and Company B gets 3 parts or $18,000.
Key takeaway: Portions are not always divided equally, so it is important to know how to calculate ratios. Ratios are closely related to fractions. In the above example, think of Company A receiving 4 of the 7 parts (4/7) and Company B receiving 3 of the 7 parts (3/7). All you have to determine is how much 1 part is.

Question 6

Betty invested $10,000 at the beginning of the year. At the end of the year, her investment was worth $12,000. Ronnie also invested in the same fund. At the beginning of the year, he invested $15,000. How much will his investment be worth at the end of the year?
A)$18,000
B)$20,000
C)$21,000
D)$19,500
E)$16,200

Accepted Answer

$18,000. One way to do this is to see quickly that the the investment went up 20%. @0% of $15,000 is $3,000.
$3,000 + $15,000 is $18,000.
This problem can also be solved as a ratio with a direct relationship, and actually can be done mentally.
Think: 10/12 = 15/x.
Visualize cross-multiplying so that 10x = 12x15.
In an earlier problem, we learned that to multiply two-digit numbers mentally, we should halve and double. In this case 12x15 = 6x30=180.
So 10x =180, and x=18. Therefore, Ronnie's investment is worth $18,000 at the end of the year.
Key Takeaway: Knowing how to set up and manipulate ratios and proportions and having mental computation strategies will allow you to calculate multi-step problems in your head.

Question 7

What is the mode for the following set of numbers? 27, 29, 26, 25, 24, 22, 26, 21, 23, 28
A)25.5
B)26
C)25.1
D)22

Accepted Answer

The mode (the number that occurs most frequently in the set) for the number set above is 26, which occurred twice in the 10 number series. 25.1 is the mean; 25.5 is the median or middle number when the numbers are in ascending order: 21, 22, 23, 24, 25, 26, 26, 27, 28, 29.

Question 8

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 9

Dottie's Chocolates produces boxes of 25 chocolate drops for selling. How many chocolate drops would Dottie need to make to fill 60 boxes?
A)1,575
B)1,225
C)1,400
D)1,500
E)1,525

Accepted Answer

25 x 60 = 1,500. To multiply a number by 25, just add two zeroes to the end of the number and divide by 4. In this case, change 60 to 6000, then divide by 4, which equals 1500.
Key Takeaway: It is always easiest to calculate if you can manipulate numbers in terms of ones, tens, and hundreds.

Question 10

Using data to predict what might occur in the future, beyond what the data set has explicitly demonstrated, is called:
A)Variable anticipation
B)The futures market
C)Predicate analysis
D)Extrapolation

Accepted Answer

Extrapolation is the use of recorded data to predict events in similar groups or in the future. For example, if annual standardized test scores decreased in Alabama, Georgia and Louisiana, that data could be used to extrapolate (or predict) that annual standardized test scores also decreased in Mississippi.

Question 11

Data that is weighted toward one end of the numerical range in which it occurs is:
A)Diverse
B)Peaked
C)Overweight
D)Skewed

Accepted Answer

Data that is asymmetrically concentrated at one end of a numerical range is skewed. This may be the result of faulty data collection (such as a poor poll or survey) or may be a completely natural phenomenon. A skewed graph or data set is not necessarily an indication of fault, flaw or wrongdoing, but may merely demonstrate a disproportionate relationship.

Question 12

What is the mode for the numbers 34, 62, 58, 49, 37, 85, 22, 44, 37 and 52?
A)48
B)46.5
C)61
D)37

Accepted Answer

The mode for the number set above is 37. It is the number that occurs most frequently in a number set. 37 occurs twice, while all of the other numbers occur once. The order of the numbers is not relevant nor is the number of entrants in the set.

Question 13

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 14

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 15

People who score in the 95th percentile on an exam:
A)Earned a score of 95 on the test
B)Scored as well or better than 95% of the people who took the same exam
C)Scored in the top 95% of test takers
D)Answered 95% of the questions correctly

Accepted Answer

A test taker who scores in the 95th percentile scored as well or better than 95% of the people who took the exam. It is a comparative measure of success that has nothing to do with the number of questions on the exam, the number of correct responses given or the "score" of the exam in a 1 to 100 grading scheme. Early education exams are typically evaluated solely on this measure. Secondary school, higher education and professional exams vary in their emphasis on this method, but most report comparative percentile scores as a frame of reference.

Question 16

The division of your company that you oversee contains 18 employees whose total salary last year was $855,000. The average salary of all company employees with the same level of responsibility and qualifications is $50,000. Is your department above or below the company average?
A)Below by 20%
B)Above by 10%
C)Below by 5%
D)Above by 15%

Accepted Answer

The average salary of a worker in your department is $47,500, which is 5% below the company average. Divide your workers' total salary by the number of workers. There is a $2,500 difference between the average salary in your division and the company's average. $2,500 is 5% of $50,000.

Quiz 5: Mathematics

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 the median for the following set of numbers? $3.27, $9.42, $6.15, $5.25, $7.62, $4.86, $2.94, $1.16

1% is equal to 100 basis point. 44.5 percent is how many basis points greater than 34.5 percent?

What is the mode for the following set of numbers? 1, 7, 8, 7, 9, 1, 2, 4, 5, 1, 3, 6, 6, 0, 9, 3, 0, 1, 4, 6

Company A and Company B are awarded a $42,000 project that is to be divided between the companies in the ratio of 4:3. How much money should each company receive?

Betty invested $10,000 at the beginning of the year. At the end of the year, her investment was worth $12,000. Ronnie also invested in the same fund. At the beginning of the year, he invested $15,000. How much will his investment be worth at the end of the year?

What is the mode for the following set of numbers? 27, 29, 26, 25, 24, 22, 26, 21, 23, 28

What is 2/9?

Dottie's Chocolates produces boxes of 25 chocolate drops for selling. How many chocolate drops would Dottie need to make to fill 60 boxes?

Using data to predict what might occur in the future, beyond what the data set has explicitly demonstrated, is called:

Data that is weighted toward one end of the numerical range in which it occurs is:

What is the mode for the numbers 34, 62, 58, 49, 37, 85, 22, 44, 37 and 52?

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?

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

People who score in the 95th percentile on an exam:

The division of your company that you oversee contains 18 employees whose total salary last year was $855,000. The average salary of all company employees with the same level of responsibility and qualifications is $50,000. Is your department above or below the company average?