August 4, 2015

Praxis II Pennsylvania Grades 4-8 Subject Concentration: Mathematics (5158) Test Questions

1. Which of the following sets is not closed under subtraction?
a. integers
b. real numbers
c. natural numbers
d. rational numbers

2. A dress is marked down 45%. The cost, after taxes, is $39.95. If the tax rate is 8.75%, what was the original price of the dress?
a. $45.74
b. $58.61
c. $66.79
d. $72.31

3. Which of the following represents an inverse proportional relationship?
a. y=3x
b. y=1/3 x
c. y=3/x
d. y=3x^2

4. Which of the following expressions is equivalent to -3x(x-2)^2?
a. -3x^3+6x^2-12x
b. -3x^3-12x^2+12x
c. -3x^2+6x
d. -3x^3+12x^2-12x

5. A city is at an elevation of 6,700 feet. Which of the following best represents the elevation in miles?
a. 0.77 miles
b. 1.27 miles
c. 1.56 miles
d. 1.89 miles

6. A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?
a. 17.2 in³
b. 19.4 in³
c. 21.2 in³
d. 23.4 in³

7. An oatmeal manufacturer claims to include 18 ounces in each container, with a standard deviation of 0.3 ounces.

A random sample of 25 containers shows a mean of 17.9 ounces. Which of the following statements is true?

a. The manufacturer’s claim is likely true, as evidenced by a p-value less than 0.05.
b. The manufacturer’s claim is likely true, as evidenced by a p-value greater than 0.05.
c. The manufacturer’s claim is likely false, as evidenced by a p-value less than 0.05.
d. The manufacturer’s claim is likely false, as evidenced by a p-value greater than 0.05.

8. A professor claims that the average on his final exam is 82. A random sample of 30 students shows an exam mean of 83 and a standard deviation of 2 points. Which of the following statements is true?
a. The professor’s claim is likely true, as evidenced by a p-value less than 0.05.
b. The professor’s claim is likely false, as evidenced by a p-value less than 0.05.
c. The professor’s claim is likely true, as evidenced by a p-value greater than 0.05.
d. The professor’s claim is likely false, as evidenced by a p-value greater than 0.05.

Praxis II Pennsylvania Grades 4-8 Subject Concentration: Mathematics (5158) Test Answer Key