Name_________________________________
Unit 1 Test Corrections
1.
Lana bought a pair of jeans for $28.00, which was 80% of the original price.
How much did the jeans originally cost?
Rewrite 80% as a fraction.
Is $28 part of the cost or the whole of the cost?
Set up the part over whole proportion and cross multiply to solve.
2.
When cooking rice, the water to rice ratio is 2:1.
Using this ratio, which statement is true?
A. When cooking 3 cups of rice, 6 cups of water are needed.
How many cups of water are needed?
How many cups of rice is needed?
Rewrite those as a ratio of water to rice.
B. When cooking 4 cups of rice, 16 cups of water are needed.
How many cups of water are needed?
How many cups of rice is needed?
Rewrite those as a ratio of water to rice.
C. When cooking 8 cups of rice, 4 cups of water are needed.
How many cups of water are needed?
How many cups of rice is needed?
Rewrite those as a ratio of water to rice.
D. When cooking 16 cups of rice, 8 cups of water are needed.
How many cups of water are needed?
How many cups of rice is needed?
Rewrite those as a ratio of water to rice.
Which of those ratios would simplify to 2:1?
3.
Kathleen buys 8 books for $96. What is the unit cost per book?
= $96
The total bar equals the $96 for all 8 books. If that is split into 8 boxes, how much is each box worth?
4.
Which statement involving unit rates is incorrect?
Carl paid $45 for 3 flying discs, which is $15 per disc.
What is 45 divided by 3?
Evelyn drove 180 miles is 3 hours, which is a rate of 60 miles per hour.
What is 180 divided by 3?
Sheri mowed 42 lawns in one week, which is a rate of 7 lawns per day.
What is 42 divided by 7 (number of days in one week)?
Xavier paid $87.50 for 7 shirts, which is a rate of $12.50 per shirt.
What is $87.50 divided by 7?
5.
A student works 2 days per week for 8 hours each day. He earns $176 per week.
What is his hourly rate of pay?
How many hours does the student work per week?
Divide $176 by that answer.
6.
The ratio of shaded to unshaded rectangles should be 2:3.
Shade 2 of the boxes. Leave 3 empty. Do that again, shade 2, leave 3 blank.
What fraction of the rectangles are shaded?
Convert that fractions to a percentage.
7.
8.
Plan a number on each line to show the ratio described. (Hint: All you have to do is rewrite the same numbers
in the order the ratio asks.)

For every 4 girls in the class there are 5 boys. The ratio of girls to boys is ______ : ______.

For every 2 cups of flour in the recipe, there is 1 cup of sugar. The ratio of cups of flour to cups of sugar
is ______ : ______.

For every hour that Megan studied Spanish, she studied science for 2 hours. The ratio of hours Megan
studied science to hours she studied Spanish is ______ : ______.

For every 3 miles Gavin walked in the marathon, he ran 6 miles. The ratio of miles Gavin walked to
miles Gavin ran is ______ : ______.
A clothing store offers a 20% discount on all items in the store.
If the original price of a pair of jeans is $84.00, how much will the jeans cost after the discount?
What is 20% of $84.00?
That amount is how much it gets discounted, so subtract the discount price from $84.
9.
It takes Luis 20 minutes to get to school from his house. It takes Amanda 1 hour to get to school from her
house.
What is the ratio of Luis’s travel time to school to Amanda’s travel time in school?
The choices are what made this question tricky. Yes, 60 minutes equals 1 hour, but which of them shows the
ratio in the correct order, Luis:Amanda?
A.
B.
C.
D.
10.
1:3
1:20
20:1
60:20
There are 15 boys and 6 girls.
How many girls are there?
How many boys are there?
What is the ratio of girls to boys?
11.
A sixth grade class has 11 boys and 15 girls.
How many boys are there?
How many girls are there?
What is the ratio of boys to girls?
12.
Riley went snowboarding for the first time. He completed 20% of his total runs on the beginner slope. He
went down the beginner slope 3 times.
How many total runs did he make?
Write 20% as a fraction.
Is 3 part of the slopes he ran or all of them?
Set up a part over whole proportion and cross multiply to solve.
13.
A bag contains 12 red marbles and 23 white marbles.
How many white marbles are in the bag?
How many total marbles are there in the bag?
What is the ratio of white marbles to all marbles in the bag?
14.
Melanie paid $3000 in taxes which was 30% of her yearly income.
What was her yearly income?
Rewrite 30% as a fraction.
Does $3000 represent part of her salary or the whole thing?
Write a part over whole proportion and solve.
15.
In a class survey, 7 students chose red as their favorite color. This is 35% of the students in the class.
How many students are in the class?
Rewrite 35% as a fraction.
Does 7 students represent part of the class or the whole class?
Write a part over whole proportion and solve.
16.
At Johanna’s school, 20% of the 120 students take the bus.
Create an expression that represents this percentage problem. (Hint: Convert the percentage to a fraction.)
--------------------------------------
X
Rewrite 120 as a fraction.
Multiply the two fractions. Times the numerators. Times the denominators. Simplyfy.
There are ____________________ students who take the bus to school.
17.
Fill in the blank.

We drove 150 miles in 3 hours. The unit rate was _______ miles per hour.
Divide 150 by 3.

Katrina worked 6 hours and earned $108. She earned $________ per hour.
Divide 108 by 6.

Tim answered 119 math problems in 17 minutes which is a rate of _________ math questions per
minute.
Divide 119 by 17.

Kari ran 14 miles in 168 minutes, which is a rate of ________ minutes per mile.
Divide 168 by 14.
18.
A supermarket is selling 5 apples for $2.50 and 4 oranges for $2.00.
What is the cost of 1 apple? (Divide 2.50 by 5)
What is the cost of 2 apples?
What is the cost of 1 orange? (Divide $2.00 by 4)
What is the cost of 2 oranges?
Find the total cost of buying 2 apples and 2 oranges. (Add together the two apples and two oranges.)
19.
Ian has 10 items of clothing in his closet. The clothing is pants and shirts. The ratio of pants to shirts is 2 to 3.
Draw the number of pants and shirts that Ian has in his closet.
Draw 2 pants and 3 shirts.
How many pieces of clothing did you draw?
You need 10 items. How many times would you have to draw that to make 10?
How many shirts and pants does Ian have?
20.
A cake recipe calls for 4 cups of flour and 3 cups of sugar.
Which of the following has the same ratio of flour to sugar?
Simplify each of the following ratios.
I.
12 cups of flour and 9 cups of sugar
II.
2 cups of flour and 4 cups of sugar
III.
3 cups of flour and 2 cups of sugar
Which ones simplifies to equal 4 cups of flour and 3 cups of sugar?
21.
The following table shows a constant ratio between cats and dogs at a pet store.
Cats
4
I
II
III
Dogs
8
16
24
32
Which three numbers should be put in place of I, II, and III?
8 times what equals 16?
Times 4 by that number.
8 times what equals 24?
Times 4 by that number.
8 times what equals 32?
Times 4 by that number.
22.
A tip is a small sum given for service. At a restaurant, Felipe left a 15% tip on his food bill. The tip amount was
$6.75.
How much was the bill?
Rewrite 15% as a fraction.
Is $6.75 part of his total bill or the whole thing?
Write a part over whole proportion and solve.
23.
The following table shows the prices for items at the supermarket.
Item
Almonds
Peanuts
Pumpkin Seeds
Sunflower Seeds
Weight
(Ounces)
25
30
15
20
Which item has the lowest unit price?
How much does one ounce of almonds cost? (10.75 ÷ 25)
How much does one ounce of peanuts cost? (9.3 ÷ 30)
How much does one ounce of pumpkin seeds cost? (6.3 ÷ 15)
How much does one ounce of sunflower seeds cost? 3.6 ÷ 20)
Which one costs the least?
Price
(Dollars)
10.75
9.30
6.30
3.60