High School Numbers Practice - Quantities

CCSS Math Practice


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

QuestionCommon Core Standard #
indicates a modeling standard.
+ indicates a college and career ready standard.

All questions of this quiz illustrate the difficulty of the high school N.Q standards required for all students, including the college and career ready students.

Question 1: A team of painters is hired to paint two houses of different sizes. It takes a team twice the time to paint the larger house than it takes the team to paint the smaller house. If a quarter of the team can paint the smaller house in 16 hours, how long does it takes the whole team to paint both houses?

Question 2: Suppose that you deposit $1000 at the beginning of each year for six years and leave the money into the account for six more years. If the annual interest rate is 5%, how much interest do you get at the end of those twelve years?

Question 3: A bus travels from town A to town B for 2 hours at a speed of 60 miles/hour. The bus stops in town B for 2 hours and then travels from town B to town C for 1 hour, at a speed of 50 miles/hour. What is the average speed of the bus?

Question 4: Which of the following vehicles has the best gas mileage?

Question 5: A digital voltmeter is designed to measure voltages between 0 Volts and 6 Volts. The voltmeter has a digital display with five digits: one digit left of the decimal point and four digits right of the decimal point. Which of the following are valid readings from this voltmeter?

Question 6: Michael drove at an average speed of 65 miles/hr. from Boston to New York and then he drove 60 miles/hr. from New York to Washington. If the distance between Boston and New York is about 200 miles and the distance between New York and Washington is about 220 miles, what was the total amount of time it took Michael to travel from Boston to Washington? Give your answer to a reasonable level of accuracy.

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