Question 1

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?

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.

Question 2

Jacqueline and Lee are meeting for the weekend somewhere between their cities, which are 420 miles apart. Jacqueline drives 80 mph for the duration of her trip. If they both left home at 10 a.m. and met at 1 p.m., what speed did Lee drive to reach their meeting spot?

Accepted Answer

Lee drove 180 miles at 60 mph to reach the meeting place where Jacqueline arrived after driving 240 miles at 80 mph. Jacqueline drove 80 mph for three hours, which is 240 miles altogether. If she drove 240 miles, then Lee drove what remained of their 420-mile distance, which is 180 miles. She had three hours to complete that distance which means she traveled 60 miles each hour.

Question 3

On a trip to the Netherlands you spend €275 per night in a hotel, €37.58 per day on meals and €50 per day on transportation. If you were there for four days and three nights, and the exchange rate from U.S. dollars to euros was $1.00 : €0.7515, about how much did you spend altogether, in U.S. dollars?

Accepted Answer

An expense of €1175, at an exchange rate of $1.00 : €0.7515, would total $1564. The total expenses were (€275 x 3) + (€37.58 x 4) + (€50 x 4), with the final sum being €1175.32. If the exchange rate was $1.00 : €0.7515, then €1175.32 is 75.15% of the total expense in U.S. dollars. Cross-multiply €1175.32 to find the dollar value of the expense. (€1175.32 x 100) ÷ 75.15 = $1563.97.

Question 4

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

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 5

What is the mean for the following expenditures? $79.84, $278.99, $342.16, $466.25, $111.39, $502.47, $98.12

Accepted Answer

The mean for the data set above is $268.46. The median or middle number when the numbers are in ascending order ($79.84, $98.12, $111.39, $278.99, $342.16, $466.25, $502.47) is $278.99.

Question 6

A: {3, 6, 7}
B: {2, 8}
What is the union of Set A and Set B?

Accepted Answer

The union of Set A and Set B is {2, 3, 6, 7, 8}. This is a combination of both sets.

Question 7

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?

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.

Question 8

Which of the following uses the doubling method of informal counting to solve the following:
3+4=

Accepted Answer

The doubling method would be 3 + 4 = (3 + 3) +1 = 6 + 1 = 7. Using the doubling method of informal counting involves taking apart a number so that it is the same number as the one being added to it and then adding the difference. It is a way to do mental math easily in one's head.

Question 9

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

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 10

Mary has 2 quarts of ice cream. She shares a half of a quart with her friend, Bill. How many pints does she have left?

Accepted Answer

Mary has 3 pints left. There are 2 pints in a quart. If Mary has 2 quarts of ice cream, she has 4 pints. If she gives half of a quart away, she is giving away 1 pint. The result is 3 pints.

Question 11

What is 1/11?

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 12

What is 5/6?

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 13

Is 40÷5>, =, or < 49÷7?

Accepted Answer

40÷5 > 49÷7. In other words, 8 > 7.

Question 14

What kind of triangle has 1 angle that is 90°?

Accepted Answer

A triangle that has 1 angle that is 90° is a right triangle. A right triangle has 1 right angle.

Question 15

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

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 16

What is 3/8s?

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 2/9?

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 18

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?

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 19

What is the perimeter of a rectangle that has 2 sides measuring 4 cm and 2sides measuring 6 cm?

Accepted Answer

A rectangle that has 2sides measuring 4 cm and 2sides measuring 6 cm has a perimeter of 20. To get this answer, you add the sum of all sides: 4+4+6+6=20.

Question 20

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?

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.

Quiz 3: Hiset: Mathematics