Question 1

If Jesse can do a job in 4 hours and Mia can do the same job in 3 hours, what is the ratio of the rate of work of Jesse to that of Mia?

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 7 } { 3 }$ 
C)  $\frac { 4 } { 3 }$ 
D)  $\frac { 7 } { 4 }$ 
E)  $\frac { 1 } { 3 }$

Question 2

After the first day of registration, 135 children had been enrolled in a new day care center. That represented 30% of the available slots. What was the maximum number of children the center could enroll? 
__________ children

Accepted Answer

The answer of After the first day of registration, 135...

Question 3

Write the percent as a simplified fraction. In 1991 unemployment in a certain city had spiraled to 13 thousand, making the unemployment figure jump by 350%.

Accepted Answer

A)  $3 \frac { 1 } { 20 }$ 
B)  $\frac { 13 } { 100 }$ 
C)  $3 \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 2 }$ 
E)  $\frac { 7 } { 20 }$

Question 4

An airplane flies 1,640 miles in 4 hours. How far will it fly in 6 hours? 
__________ mi

Accepted Answer

The answer of An airplane flies 1,640 miles in 4...

Question 5

Solve the proportion. $$\frac { M } { 4 } = \frac { 4 \frac { 1 } { 2 } } { 6 }$$ M = __________

Accepted Answer

The answer of Solve the proportion. \[\frac { M }...

Question 6

Write the following ratio as a fraction in lowest terms. The ratio of dogs to cats is 9 to 2.

Accepted Answer

A)  $\frac{9}{2}$ 
B)  $\frac{1}{2}$ 
C)  $\frac{2}{9}$ 
D)  $\frac{18}{1}$ 
E)  $\frac{1}{9}$

Question 7

Grades in a classroom are often given according to the percentage score obtained by the student. Suppose that a teacher grades according to the following scheme, where all scores are rounded to the nearest percent: A $\quad 90 \% - 100 \%$
B $80 \% - 89 \%$
C $65 \% - 79 \%$
D $50 \% - 64 \%$
$\mathrm { F } \quad 0 \% - 49 \%$ To determine a percent grade, form a ratio of score received to possible score and then write this ratio as a percent. Calculate the percent (nearest percent) and determine the letter grade for each score. The student gets 612 answers right out of a possible 1,200. What is the letter grade?

Accepted Answer

A)  D 
B)  A 
C)  C 
D)  B 
E)  F

Question 8

Write the number $0.085$ as a percent.

Accepted Answer

A)  850% 
B)  8.5% 
C)  0.85% 
D)  0.085% 
E)  85%

Question 9

Estimate the percentage. 25% of 391

Accepted Answer

A)  $977.5$ 
B)  $100$ 
C)  $130$ 
D)  $78$ 
E)  $780$

Question 10

Write the following ratio as a fraction in lowest terms. 
The ratio of peanuts to cashews is 12 to 138.

Accepted Answer

The answer of Write the following ratio as a fraction...

Question 11

Change the given form into the two missing forms.

Accepted Answer

The answer of Change the given form into the two...

Question 12

Which pair of ratios forms a proportion?

Accepted Answer

A)  $\frac { 1 } { 3 } , \frac { 1 } { 6 }$ 
B)  $\frac { 1 } { 6 } , \frac { 25 } { 150 }$ 
C)  $\frac { 1 } { 6 } , \frac { 25 } { 144 }$ 
D)  $\frac { 150 } { 25 } , \frac { 25 } { 150 }$ 
E)  $\frac { 2 } { 7 } , \frac { 24 } { 150 }$

Question 13

Grades in a classroom are often given according to the percentage score obtained by the student. Suppose that a teacher grades according to the following scheme, where all scores are rounded to the nearest percent: A $\quad 90 \% - 100 \%$
B $80 \% - 89 \%$
C $65 \% - 79 \%$
D $50 \% - 64 \%$
$\mathrm { F } \quad 0 \% - 49 \%$ To determine a percent grade, form a ratio of score received to possible score and then write this ratio as a percent. Calculate the percent (nearest percent) and determine the letter grade for each score. The student gets 1,190 answers right out of a possible 1,400. What is the percent score? __________% What is the letter grade? __________

Accepted Answer

The answer of Grades in a classroom are often given...

Question 14

A family of four budgeted the following amounts for some of their monthly bills, where a = $350, b = $70, c = $190, d = $210.  What is the ratio of the house payment to the food bill?

Accepted Answer

A)  $\frac { 5 } { 3 }$ 
B)  $\frac { 14 } { 1 }$ 
C)  $\frac { 21 } { 19 }$ 
D)  $\frac{3}{5}$ 
E)  $\frac { 19 } { 350 }$

Question 15

If you drive $297$ miles on $13 \frac { 1 } { 2 }$ gallons of gas, what is the simplified ratio of miles to gallons?

Accepted Answer

The answer of If you drive $297$ miles on \(13...

Question 16

Change the percent to a fraction in lowest terms. 
225%

Accepted Answer

The answer of Change the percent to a fraction in...

Question 17

Solve the proportion. $$\frac { 7 } { 10 } = \frac { 7 } { x }$$ $$x =$$ __________

Accepted Answer

The answer of Solve the proportion. \[\frac { 7 }...

Question 18

Read the proportion and name the means and extremes. $\frac { 30 } { b } = \frac { c } { 6 }$ The means are ----$\text { and }$--- . The extremes are --------$\text { and }$---------- .

Accepted Answer

The answer of Read the proportion and name the means...

Question 19

Estimate the percentage. $$50 \% \text { of } 2,340$$

Accepted Answer

A)  $5,850$ 
B)  $1,150$ 
C)  $234$ 
D)  $585$ 
E)  $11.7$

Question 20

Solve the proportion. $$\frac { \frac { 2 } { 5 } } { X } = \frac { \frac { 1 } { 5 } } { 8 }$$ $$X =$$ __________

Accepted Answer

The answer of Solve the proportion. \[\frac { \frac {...

Exam 4: Percents and Problem Solving

If Jesse can do a job in 4 hours and Mia can do the same job in 3 hours, what is the ratio of the rate of work of Jesse to that of Mia?

After the first day of registration, 135 children had been enrolled in a new day care center. That represented 30% of the available slots. What was the maximum number of children the center could enroll? __________ children

Write the percent as a simplified fraction. In 1991 unemployment in a certain city had spiraled to 13 thousand, making the unemployment figure jump by 350%.

An airplane flies 1,640 miles in 4 hours. How far will it fly in 6 hours? __________ mi

Solve the proportion. $\frac { M } { 4 } = \frac { 4 \frac { 1 } { 2 } } { 6 }$ M = __________

Write the following ratio as a fraction in lowest terms. The ratio of dogs to cats is 9 to 2.

Write the number $0.085$ as a percent.

Estimate the percentage. 25% of 391

Write the following ratio as a fraction in lowest terms. The ratio of peanuts to cashews is 12 to 138.

Change the given form into the two missing forms.

Which pair of ratios forms a proportion?

If you drive $297$ miles on $13 \frac { 1 } { 2 }$ gallons of gas, what is the simplified ratio of miles to gallons?

Change the percent to a fraction in lowest terms. 225%

Solve the proportion. $\frac { 7 } { 10 } = \frac { 7 } { x }$ $x =$ __________

Read the proportion and name the means and extremes. $\frac { 30 } { b } = \frac { c } { 6 }$ The means are ---- $\text { and }$ --- . The extremes are -------- $\text { and }$ ---------- .

Estimate the percentage. $50 \% \text { of } 2,340$

Solve the proportion. $\frac { \frac { 2 } { 5 } } { X } = \frac { \frac { 1 } { 5 } } { 8 }$ $X =$ __________

Exam 4: Percents and Problem Solving

If Jesse can do a job in 4 hours and Mia can do the same job in 3 hours, what is the ratio of the rate of work of Jesse to that of Mia?

After the first day of registration, 135 children had been enrolled in a new day care center. That represented 30% of the available slots. What was the maximum number of children the center could enroll? __________ children

Write the percent as a simplified fraction. In 1991 unemployment in a certain city had spiraled to 13 thousand, making the unemployment figure jump by 350%.

An airplane flies 1,640 miles in 4 hours. How far will it fly in 6 hours? __________ mi

Solve the proportion. M4=4126\frac { M } { 4 } = \frac { 4 \frac { 1 } { 2 } } { 6 }4M​=6421​​ M = __________

Write the following ratio as a fraction in lowest terms. The ratio of dogs to cats is 9 to 2.

Write the number 0.0850.0850.085 as a percent.

Estimate the percentage. 25% of 391

Write the following ratio as a fraction in lowest terms. The ratio of peanuts to cashews is 12 to 138.

Change the given form into the two missing forms.

Which pair of ratios forms a proportion?

A family of four budgeted the following amounts for some of their monthly bills, where a = $350, b = $70, c = $190, d = $210. What is the ratio of the house payment to the food bill?

If you drive 297297297 miles on 131213 \frac { 1 } { 2 }1321​ gallons of gas, what is the simplified ratio of miles to gallons?

Change the percent to a fraction in lowest terms. 225%

Solve the proportion. 710=7x\frac { 7 } { 10 } = \frac { 7 } { x }107​=x7​ x=x =x= __________

Read the proportion and name the means and extremes. 30b=c6\frac { 30 } { b } = \frac { c } { 6 }b30​=6c​ The means are ---- and \text { and } and --- . The extremes are -------- and \text { and } and ---------- .

Estimate the percentage. 50% of 2,34050 \% \text { of } 2,34050% of 2,340

Solve the proportion. 25X=158\frac { \frac { 2 } { 5 } } { X } = \frac { \frac { 1 } { 5 } } { 8 }X52​​=851​​ X=X =X= __________

Solve the proportion. $\frac { M } { 4 } = \frac { 4 \frac { 1 } { 2 } } { 6 }$ M = __________

Write the number $0.085$ as a percent.

If you drive $297$ miles on $13 \frac { 1 } { 2 }$ gallons of gas, what is the simplified ratio of miles to gallons?

Solve the proportion. $\frac { 7 } { 10 } = \frac { 7 } { x }$ $x =$ __________

Read the proportion and name the means and extremes. $\frac { 30 } { b } = \frac { c } { 6 }$ The means are ---- $\text { and }$ --- . The extremes are -------- $\text { and }$ ---------- .

Estimate the percentage. $50 \% \text { of } 2,340$

Solve the proportion. $\frac { \frac { 2 } { 5 } } { X } = \frac { \frac { 1 } { 5 } } { 8 }$ $X =$ __________