FREE CMAS Mathematics Questions and Answers

Question 1

150 students were surveyed and asked whether they played a sport and whether they played a musical instrument. The results are shown in the table above.

Accepted Answer

1/5

Answer

Without the specific table, it is assumed that the question asked for a fraction representing a particular group of students out of the total 150 surveyed. The answer 1/5 indicates that 30 students (150 / 5 = 30) fell into the category being questioned, such as those who play only a musical instrument or neither a sport nor an instrument.

Question 2

What fraction of the total surveyed students play a sport?

Accepted Answer

7/15

Answer

To determine the fraction of students who play a sport, one would need to sum the number of students who play a sport (including those who also play an instrument) from the provided table. If 70 out of the total 150 students play a sport, this simplifies to 70/150, which reduces to the fraction 7/15. This calculation directly leads to option B.

Question 3

Which of the following is an integer?

Accepted Answer

-3

Answer

An integer is a whole number (not a fraction or decimal) that can be positive, negative, or zero. Options A (1/4) is a fraction, B (-12.5) is a decimal, and D (0.454545…) is a repeating decimal. Only -3 fits the definition of an integer, as it is a whole number without any fractional or decimal part.

Question 4

The point (4, 3) is rotated 90 degrees clockwise about the origin. What are the coordinates of the resulting point?

Accepted Answer

(3, -4)

Answer

When a point (x, y) is rotated 90 degrees clockwise about the origin, the transformation rule is (x, y) → (y, -x). Applying this rule to the given point (4, 3), the new x-coordinate becomes the original y-coordinate (3), and the new y-coordinate becomes the negative of the original x-coordinate (-4). Therefore, the resulting coordinates are (3, -4).

Question 5

The population of California is approximately 3.7 x 10^7 people. The land area of California is approximately 1.6 x 10^5 square miles. Divide the population by the area to find the best estimate of the number of people per square mile in California.

Accepted Answer

240 people

Answer

To find the people per square mile, divide the population by the area: (3.7 x 10^7) / (1.6 x 10^5). Dividing the numerical parts gives approximately 3.7 / 1.6 ≈ 2.3125. Dividing the powers of ten gives 10^(7-5) = 10^2 = 100. Multiplying these results (2.3125 * 100) yields approximately 231.25, which is best estimated as 240 people per square mile.

CMAS - Colorado Measures of Academic Success Practice Test

CMAS - Colorado Measures of Academic Success Practice Test

FREE CMAS Mathematics Questions and Answers