Name ______Block ______Date ______
Ratio & Proportions Study Guide
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____ 1. In the last three years, Frederico’s basketball team won 30 more games than they lost. If they won 140 games, what was their ratio of wins to losses? Show the ratio in three different ways.
a. / , 14 to 11, 14:11 / c. / , 14 to 17, 14:17b. / , 3 to 14, 3:14 / d. / , 14 to 3, 14:3
____ 2. Find the unit rate if 6 chocolate chip cookies have 426 calories. Show the answer in fraction and word form.
a. / There are 71 calories per cookie.b. / There is 1 calorie per 71 cookies.
c. / There are 61 calories per cookie.
d. / There are 426 calories per 6 cookies.
____ 3. Larry took 15 minutes to do 8 math problems. Mary took 14 minutes to do 7 math problems. Which student did more problems per minute?
a. / Larry / b. / Mary____ 4. Determine whether the ratios and are proportional.
a. / no / b. / yes____ 5. The Anderson family is making preparations for a party. They figure that they will need 12 cans of soft drinks for every 6 people who attend. How many cans will they need if they are expecting 18 people?
a. / 216 / c. / 72b. / 12 / d. / 36
____ 6. At Country Landscape, Mr. McDonald can buy 15 three-pound-bags of mulch for $60. How many bags can he buy for $400?
a. / 6000 / c. / 180b. / 1600 / d. / 100
____ 7. Pam pays $8.00 for 1 yard of fabric. How much would the fabric cost per inch? Round your answer to the nearest cent, if necessary.
a. / $0.22 per inch / c. / $288.00 per inchb. / $0.67 per inch / d. / $0.44 per inch
____ 8. Maria has been sick in bed for 1 weeks. How many minutes has this been?
a. / 10,080 minutes / c. / 420 minutesb. / 168 minutes / d. / 1,440 minutes
____ 9. Is parallelogram ABCD similar to parallelogram WXYZ? (Opposite sides are equal and all corresponding angles are congruent.)
a. / no / b. / yes____ 10. Triangle ABC is similar to triangle XYZ. Find the length of XY. Round to the nearest hundredth if necessary.
a. / 3 / c. / 2b. / 12 / d. / 5.33
____ 11. In an FBI investigation, Detective Tracy discovered a photograph that pictured his number one suspect at the scene of the crime. To get a better look, he needed to enlarge the picture by a scale factor of . If the rectangular photo measured 4.5 inches by 3.5 inches, what would be the dimensions of the enlargement?
a. / 45 inches by 17.5 inches / c. / 22.5 inches by 35 inchesb. / 45 inches by 35 inches / d. / 14.5 inches by 13.5 inches
____ 12. A souvenir model of a Gothic cathedral is 16 inches tall. If the scale is 2 inches = 30 feet, how tall is the cathedral?
a. / 240 feet / c. / 480 feetb. / 46 feet / d. / 2880 feet
In a fireplace, about of an 18-inch log will burn in of an hour. How many hours will it take to burn logs?
/ A / of an hour/ B / of an hour
C / hours
/ D / hours
It took Melanie of an hour toride her bike of a mile. How many miles per hour can Melanie ride her bike?
/ A // B /
C /
/ D /
A school club is ordering t-shirts for its members. The table below shows the cost of different numbers of t-shirts.
Number of T-shirts(x) / Cost
(y)
6 / $72
11 / $132
15 / $180
Which equation will calculate the cost of xt-shirts?
/ A / y = 5x/ B / y = 10x
C / y = 12x
At a candy store, all the candy is sold by weight. The table below shows the cost, y, to purchase candy by weight, x.
Weight of Candy (pounds) / Cost ($)2 / 4.98
4 / 9.96
6 / 14.94
Which equation calculates the cost of x pounds of candy?
/ A / y = 2xB / y = 2.49x
/ C / y = 4.98x
The graph below shows the cost to rent a car from a company for different numbers of days.
What is the cost per day to rent a car?
/ A / $30B / $40
/ C / $50