Name:______
Unit 1: Ratios and Proportional Reasoning Assessment Review Sheet
1. Jeremy has a board that is 12 feet long. He needs to cut pieces that are 16 inches long from the boards.
What is the greatest number of 15 inch pieces he can cut from the board?
- How many inches are in 12 feet?
- How many 16 inch pieces can I cut from the board?
2. Pianos and pipe organs contain keyboards, a portion of which is shown below.
a)What is the ratio of white keys to black keys in the picture above?
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b) If the pattern shown continues, how many black keys appear on a portable keyboard with 28white keys?
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c) If the pattern shown continues, how many black keys appear on a pipe organ with a total of 96keys?
(Remember to use a ratio table that shows part:part:whole )
Black / White / Whole96
3. a) Mr. Donahoe’s class has a female student to male student ratio of 3:2. Mr. Donahoe’s class has 9
girls. How many boys does he have?
Female Students / Male Students / Total StudentExplain your reasoning in words______
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b) Ms. Bryan’s class has the same number of students as Mr. Donahoe’s class. Her female-to-maleratio is 2:1.
Female Students / Male Students / Total StudentWhich class has a greater number of male students?______
4. Use the recipe shown in the table to answer the questions below. Use pictures, tables or number
sentences to solve the task.
Grandma’s Recipe for Sugar Cookies
3cups butter
4 cups sugar
8 eggs
1 1/2teaspoon baking powder
1 ¼ cups flour
1/2 teaspoon salt
a)How many cups of sugar are needed for each egg? How do you know?
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Eggs / Sugarb) Your sister notices that she needs three times as much baking powder as salt in this recipe.
What is the ratio of baking powder to salt? Explain your reasoning in words.
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5. Fashion designers are trying to decide on just the right shade of blue for a new line of jeans.
They have several bottles of fabric color, some with blue color and some with white color. They
plan to mix these together to get the desired color.
Mix A
Mix B
a)Will both mixes produce the same color jeans? Use mathematical reasoning to justify youranswer.
Mix A
Blue / WhiteMix B
Blue / Whiteb) A designer uses the table below to think about her own special mix, Mix C. How many liters ofblue colorwill she need to make a total of 32 liters? Explain your reasoning in words.
Liters of Blue Color / Liters of White Color / Total Liters5 / 3 / 8
10 / 6 / 16
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6.The Jeans Source sells jeans for $20 per pair. Mary’s Boutique sell jeans for $30 per pair.
a)Make a table for each store that shows the total cost for 1, 2, 3, or 4 pairs of jeans.
List the information as ordered pairs (number of pairs, total cost).
Graph the ordered pairs for each store on the same coordinate plane.
Then using the tables and graphs, write a few sentences comparing
the ratios of amount charged per pair of jeans for each store.
How is this shown on the graph?
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