MCAS 1998, 10th Grade Math, Questions 33 to 36


Question #33

The table at the right represents the United States population (in millions) from 1986—1991.

a. On the grid in your Student Answer Booklet [example shown below], plot the data using the year as the horizontal (x) axis.

b. Draw a single straight line that best represents the data.

c. Explain why you drew your line as you did.


Question #34

Students in a 10th-grade math class have arranged the natural numbers in a spreadsheet. Maria's group starts by arranging the numbers in the table to the right.

a. What numbers are in the 7th row?

b. What numbers are in the 50th row? Explain how you determined this.

c. Maria suggests that if she selects any number from column A and multiplies it by any number in column C, she can find the answer somewhere in column C. Is Maria correct? Explain your reasoning.

 


Question #35

The minimum wage increased from $5.25 to $5.75 per hour.

a. What is the rate of increase of the minimum wage?

b. Kevin was earning $6.35 per hour at the time of the minimum wage increase. His employer raised his salary to $7.10 per hour. Did his boss give him an increase comparable to the rate of increase given to the minimum wage earners? Explain your reasoning.

c. Allana, who also works for the same employer, was promised a raise. If she is making $7.40 per hour, what new hourly wage would reflect an increase comparable to that received by the minimum wage earners? Show how you arrived at her new hourly wage.


Question #36

a. What is the area of waste (shaded area) after cutting the largest possible circular area from a 28" square of sheet metal as shown in Figure 1? Show your work.

b. What is the area of waste (shaded area) after cutting the four largest possible circular areas from a 28" square of sheet metal as shown in Figure 2? Show your work.

c. What general expression can you use to find the amount of waste when cutting n2 circles of equal size from a square piece of sheet metal measuring 28" on a side?


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