MJ2A – Ch 6 Study Guide
Ratios &
Rates
Scale
Drawings &
Models
Proportions
Fractions,
Decimals &
Percents
Percent
Proportion
Percent of
Change
100
100
100
100
100
100
200
200
200
200
200
200
300
300
300
300
300
300
400
400
400
400
400
400
500
500
500
500
500
500
Ratio & Rates 100
Express as a fraction in simplest
form
9 Students out of 33 students
Answer: 3/11
Ratio & Rates 200
Express as a fraction in simplest
form
12 hits out of 16 times at bat
Answer: 3/4
Ratio & Rates 300
Express as a fraction in simplest
form
30 hours to 18 hours
Answer: 5/3
Ratio & Rates 400
Express as a fraction in simplest
form
5 quarts to 5 gallons
Answer: 1/4
Ratio & Rates 500
Express as a fraction in simplest
form
10 inches to 4 feet
Answer: 5/24
Scale Drawing & Models 100
On a map of Florida the scale is 1in = 20
mi.
If the distance between Tampa and St.
Petersburg is 2 inches, how many miles is
that?
Answer: 40
Scale Drawing & Models 200
A model airplane is built using
a 1:16 scale. On the model, the
length of the wing span is 5.8
feet. What is the actual length
of the wing?
Answer: 92.8 ft
Scale Drawing & Models 300
A builder is designing a
swimming pool that is 8.5
inches on the scale drawing. If
the scale is 1in = 6ft what is the
actual length of the pool?
Answer: 51 feet
Scale Drawing & Models 400
A set of landscape plans shows a
flower bed that is 6.5 inches wide.
The scale on the plan is 1 in = 4 ft
What is the scale factor?
Answer: 1/48
Scale Drawing & Models 500
Daily
Double!
A man in a photograph is
1.5 inches in height. If the
man is 6 ft tall, what is the
scale?
Answer: 1in = 4 ft
Proportions 100
Determine if the pair of ratios
form a proportion:
5.3
15.9
Answer: Yes
,
2.7
8.1
Proportions 200
Solve the proportion:
7
45
Answer: x = 1.4
=
x
9
Proportions 300
Solve the proportion:
a
0.28
Answer: a = 0.8
=
4
1.4
Proportions 400
Solve the proportion:
8 pencils in 2 boxes
20 pencils in x boxes
Answer: 5 boxes
Proportions 500
Solve the proportion:
y dollars for 5.4 gallons
14 dollars for 3 gallons
Answer: y = $25.20
Fractions, Decimals & Percents
100
Express as a fraction in
simplest form
45%
Answer: 9/20
Fractions, Decimals & Percents
200
Express as a fraction in
simplest form
0.5%
Answer: 1/200
Fractions, Decimals & Percents
300
Express the fraction as a
percent
5
8
Answer: 62.5%
Fractions, Decimals & Percents
400
Express the decimal as a percent.
0.0008
Answer: 0.08%
Fractions, Decimals & Percents
500
Express the percent as
a decimal
12 ½ %
Answer: 0.125
Percents Proportion 100
72 is what percent of 160?
Answer: 45%
Percents Proportion 200
36 is 72% of what
number?
Answer: 50
Percents Proportion 300
What is 84% of
150?
Answer: 126
Percents Proportion 400
14 is 12½ % of what
number?
Answer: 112
Percents Proportion 500
36 is 8¾% of what
number?
Answer: 411.4
Percent of Change 100
Find the percent of change
from $9.25 to $6.50. State
if increase or decrease
Answer: 29.7% decrease
Percent of Change 200
Find the percent of change from 75
minutes to 100 minutes. State if
increase or decrease
Answer: 33.3% Increase
Percent of Change 300
Find the percent of change
from 15 songs to 105 songs.
State if increase or decrease
Answer: 600% Increase
Percent of Change 400
Using the formula I=prt,
determine how long it would
take to earn $495 interest on
$2,000 invested at a rate of
4.5%
Answer: 5.5 years
Percent of Change 500
Using the formula I=prt,
determine the interest rate on
$1600 invested for 6 years
which earned $456 in interest
Answer: 4.75%