6th Grade Ratios and Proportional Relationships

CCSS Math

 





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

QuestionCommon Core Standard #CCSS Excerpt
16.RP.1...understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities...
26.RP.2...understand the concept of a unit rate a/b associated with a ratio a:b...
36.RP.1...understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities...
46.RP.3b...solve unit rate problems including those involving unit pricing and constant speed...
56.RP.3c...solve problems involving finding the whole, given a part and the percent...
66.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:

ApartmentArea(square meters)Rent($)
1100600
2120720
3125x
4140840

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






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