Mathematics

Question 1

What is a mixed number?

Answer 1

Consist of a whole number and a fraction, for example two and a half (2 ½).

Question 1

What is an improper fraction?

Answer 1

A fraction whose top number (numerator) is bigger than its bottom number (denominator). For example, five halves (5/2).

Question 2

What is the formula for time, distance and rate?

Answer 2

Distance = rate x time, or d = rt.

Question 3

What is the cost formula?

Answer 3

Total cost = (number of units) x (price per unit), or c = nr.

Question 4

How do you simplify fractions?

Answer 4

Find the factors of both the numerator and the denominator. Then, determine the greatest common factor (G.C.F.) and divide both the numerator and the denominator by it to get the simplest form of the fraction.

Question 5

What is in the hundredths place in this equation: 2.783

Answer 5

8 is in the tenths place because it goes tenths, hundredths, thousandths, and so on.

Question 6

What is the formula for base, rate and part to find the part?

Answer 6

Base x rate = part. For example:
A company offers its employees two health plans. In a recent newsletter, the personnel department stated that 70% of the employees chose plan A. If the company has 320 workers, how many chose plan A?

Multiply the rate ( 70 ) by the base ( 320 ).
Change the percent to a decimal and multiply.
70% = 0.7
320 x 0.7 = 224

Question 7

What is the formula for base, rate and part to find the base?

Answer 7

Part / rate = base. For example: In a math class, 75% of the students got at least a B grade on the final exam. If 18 students got at least a B, how many students are in the class?

Divide the part ( 18 ) by the rate ( 75 ).
Convert the rate to a decimal and divide.
75% = 0.75
18.00 / 0.75 = 24.

Question 8

What is the formula for base, rate and part to find the rate?

Answer 8

Part / base = rate. For example: A computer system is regularly priced at 1600. On Friday, the manager reduced the price by 640. by what percent did the manager discount the computer system?

Divide the base ( 1600 ) by the part ( 640 ).
640 / 1600 = 0.4
Convert the decimal answer to a percent by moving the decimal point two places to the right.

Question 9

What is the discerning factor to figure out what the base, rate and part are in a problem?

Answer 9

Part is often associated with “is”; base is often associated with “of”; rate is often associated with “%”.

Question 10

What is the rate in the following problem: What is 35% of 200?

Answer 10

35 because it is followed by %.

Question 11

What is the base in the following problem: What is 35% of 200?

Answer 11

200, because they are asking what is 35% “of” 200.

Question 11

What is 46% of 130?

Answer 11

59.80

Question 12

What is 12% of 126?

Answer 12

15.12

Question 13

14% of what amount is 13.44?

Answer 13

96

Question 14

What is simple interest?

Answer 14

Simple interest is a percent of the principal multiplied by the length of the loan.

Question 15

What is the formula for simple interest?

Answer 15

Principal x rate x time. For example: Asher borrows $2500 from his uncle for three years at 6% simple interest. How much interest will he pay on the loan?

Write the rate ( 6% ) as a decimal.
6% = 0.06
$2500 x 0.06 x 3 = 450.

Question 16

Some simple interest problems will ask you to find the amount paid back. This adds an additional step to an interest problem. How would you find the answer for this problem:
Eva invests $3000 for 9 months. She will be paid 8% simple interest on her investment. How much interest will she earn?

Answer 16

Write the rate ( 8% ) as a decimal.
8% = 0.08
Express the time as a fraction of a year by writing the length of time in months over 12, the number of months in a year.
9 months = 9/12 = 3/4 year
$3000 x 0.08 x 3/4 = 180.