# 6th Grade Ratios and Proportional Relationships

This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards:

 Question Common Core Standard # CCSS Excerpt 1 6.RP.1 ...understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities... 2 6.RP.2 ...understand the concept of a unit rate a/b associated with a ratio a:b... 3 6.RP.1 ...understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities... 4 6.RP.3b ...solve unit rate problems including those involving unit pricing and constant speed... 5 6.RP.3c ...solve problems involving finding the whole, given a part and the percent... 6 6.RP.3a ...find missing values in the tables, and plot the pairs of values on the coordinate plane...

Question 1: The ratio of the quantities of sugar and flour needed to bake a cake is 2:5. What is the quantity of sugar needed for a cake, if 750 grams of flour are used to bake it?

Question 2: A school cafeteria spent \$2,700 for ingredients necessary to prepare 450 meals. What is the rate spent per meal?

Question 3: A school has 300 students and 30 teachers. What is the ratio between the number of teachers and the number of students of the school?

Question 4: If it takes a company 4 hours to build 1,300 cell phones, at the same rate it will take the company hours to build 39,000 cell phones.

Question 5: A family went out to dinner and the cost of the food was \$80. If the tip given was 15%, what was the total cost?

Question 6: The rents of apartments in a building are proportional to the areas rented, per the table below:

 Apartment Area(square meters) Rent(\$) 1 100 600 2 120 720 3 125 x 4 140 840

What is the rent x of the apartment 3 in the table above?

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