7th Grade Ratios and Proportional Relationships

SBAC Math Practice

 





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

QuestionCommon Core Standard #CCSS Math Excerpts
17.RP.1...compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units...
27.RP.1...compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units...
37.RP.2a...decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin...
47.RP.2b...identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships...
57.RP.2b...identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships...
67.RP.2c...represent proportional relationships by equations...
77.RP.2d...explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0,0) and (1,r) where r is the unit rate...
87.RP.3...use proportional relationships to solve multistep ratio and percent problems...
97.RP.3...use proportional relationships to solve multistep ratio and percent problems...
107.RP.3...use proportional relationships to solve multistep ratio and percent problems...



Question 1: Half a pound of flour is poured into a jar. If the flour occupies two fifths of the jar, what quantity of flour could be stored in the jar?












Question 2: Three fourths of two thirds of a meter is:












Question 3: Line v in the coordinate graph below represents the distance in time travelled by a vehicle. What is the distance travelled after 75 minutes?













Question 4 and 5: The revenue of an online store is proportional to the monthly marketing budget of the store, as can be seen in the table below:

MonthMarketing Budget($)Online Revenue($)
January105,000262,500
February140,000350,000
March70,000175,000
April140,000350,000

The constant of proportionality between the online revenue and the marketing budget is . If the marketing budget for the month of May was $128,000, the online revenue of the same month was $.





Question 6: If the average duration of a song on a CD is x, the number of songs on the CD is n, and the total duration of the songs from the CD is q, then:










Question 7: In the coordinate plane below, the equation of the line that passes through the points O(0,0) and A(1,n) is:












Question 8: There were 260 students enrolled in a school last year and 40 teachers employed by the same school. This year the number of students increased by 10% but the number of teachers decreased by 5%. Find the percent change of the student per teacher ratio of the school.













Question 9: The average price of a gallon of gas increased by 12% in 2010 and by 10% in 2011. By what percentage did the average price of a gallon of gas increase between January 1st 2010 and January 1st 2012?











Question 10: A school has 500 students and 30 English teachers and 20 math teachers. The ratio between the number of math teachers and the number of students of the school is .



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