Module 1: Modeling with Ratio Practice
Name
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.--- ----- --~--.
Date __ ________ Cl ass Period
1. (a) One out of every 10 girls trying out for the volleyball team is left handed. What is the ratio of
left-handed players to right handed players?
Draw a bar model comparing left-handers to right-handers
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(b) If 18 of the girls trying out for the team are right handed, how many girls are left handed?
Use your model from port A.
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I ~ullf:; 2- 3ir/=:; 2. (a) The ratio of the number of tomatoes and peppers planted in a Mr. Roger's garden is 4: 5.
Express the number of tomato plants as a fraction of the number of pepper plants.
Draw a bar model comparing tomato plants to pepper plants.
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(b) Express the number of pepper plants as a fraction ofthe number oftomato plants_
Use your model from part A.
(c) Mr. Rogers planted 12 tomato plants this year. How many pepper plants did he plant?
Label the known and unknown values on your model to help you answer this question.
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(a) There are 3 times as many girls as boys in the school choir. What is the ratio ofthe number of
girls to the TOTAL number of singers in the choir?
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Draw a bar model comparing girls and boys.
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(b) What fraction of the choir members are boys?
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(c) If there are 24 girls, how many singers are in the choir cNtogether?
Label the known and unknown values on your model to help you answer this question.
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Kiran makes 4/5 of the free throws he attempts. If he missed 3 free throw shots in the last
game, how many did he make?
Draw a bar model comparing the number of shots Kiran makes to the shots he misses
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The results of a survey reveal thatthe number students who prefer snowboarding is 5/8 the
number of students who prefer skiing. If there are 18 more students who prefer skiing than
students who prefer snowboarding, how many students participated in the survey?
Take you time! Draw a model uSing the model drawing rubric,
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Module 2: Ratio and Proportion Practice
Name
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Date _ _ __
1. Class Per iod .____..__
(a) To make lemonade, Raquel mixes 1 cup of juice concentrate with every three cups of water.
Find the ratio of the amount of juice concentrate to the amount of water.
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(b) To make the same drink, how many cups of water are needed to mix with 6 cups of juice concentrate? I ~IAI I+::
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(c) To make the same drink, how many cups of juice concentrate are needed to mix with 15 cups '-) of water?
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2. (a) Ray mixed red paint and blue paint in the ratio 3:2 to make his favorite shade of purple. If he
used 12 liters of red paint, how many liters of blue paint did he use? 12­
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(b) If Ray made 10 liters of purple paint, how many liters of red paint did he use?
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3.
The ratio of Teresa's money to Ken's money is 5:3. If Teresa has $25, how much do they have
altogether?
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Mia and Pia share a bag of candies in the ratio 2 : 5. If Pia has 36 more candy pieces than Mia,
how many candies did Mia get?
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The sides ofa triangle are in the ratio 4 : 5 : 6. If the perimeter of the triangle is 60 cm, find the
length of the shortest side.
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Challenge: Modeling Ratios Mixed Review
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Dat e._ __
1. Class Period
To make cupcakes, the ratio of cups offlour, sugar and milk is 3: 1 : 2. If Yoan uses 8 cups of
milk to make cupcakes, how many cups of flour will he need?
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2.
The sum of 3 numbers A, B, and C is 60. The ratio of A to B is 3: 2. The ratio of B to C is 2: 7.
What are the three numbers?
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(a) The ratio of the number of 8th graders to the number of 6th graders in a school play is 3 : 1.
The ratio of the number of 6th graders to 7th graders is 3 : 5. Find the ratio of the number of 6th
graders to the number of 7th graders to the number of 8th graders .
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(b) Ifthere are fifteen 7th graders in the play, how many 6th graders are in the cast?
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(c) (How many students are in the cast altogether?
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4.
The ratio of Ringo's test score to George's test score is 3 : 5. If Ringo's score is less than George's
by 24 points, what is the sum of their scores?
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Gina is stringing a beaded necklace where the ratio of blue beads to yellow beads is 4 : 3 , She
decided to change the design and add 21Jyellow beads. Now there are twice as many yellow
beads as blue beads. How many blue beads are on the necklace?
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Challenge: How would you present one ofthese problems as an example video? Write a short script '
and check with your teacher about how to produce your own math video!
Modeling with Ratio & Proportion Final Exam
1PJLt:d.)e r .tfe -"-I~'Jt-_ _ __ __
Nam e ___
4,.
Date
Class Period
*Directions: Each question will be scored using the Model Drawing Problem Solving Rubric. Make sure
to draw a detailed model for each problem, include labels, and show your calculations
1. Three out of five students graduating from college are women. If there are 480 students in
the University's graduating class, how many of the graduates are women?
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2. A jar contains a mixture of green and blue beads in the ratio of 4:3 . There are 93 blues beads.
How many beads are there altogether?
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3. Russell's and Katy's savings are in the ratio 5:7. If Russell saved $40 less than Katy, how much
did he save?
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4. Calvin collects red and blue marbles . The ratio of red marbles to blue is 3 to 4. If there are 42
marbles altogether, how many red marbles are there?
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5. A triangular frame will be constructed from a piece of wood that is 5 feet long. The wood is
sawed into three pieces in the ratio of 3 : 4 ~ 5 and then fastened together to create the frame.
What is the length of the longest side of the frame? Express you answer in inches .
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6, Max mixed sugar, lemons, and water in the ratio of 3 : 5 : 7 to make lemonade to sell at his
lemonade stand. He used 12 cups of sugar to make the last batch of lemonade . How many cups
of water did he use?
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7. A cruise line has sold ~O adult tickets for an upcoming tour of the Caribbean. The ratio of
the number of men to the number of women booked for the cruise is 3 : 2. The ratio of the
number of women to the number of children is 4: 5. What is the total number of women and
children who will set sail on the ship?
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