Praxis II Mathematics: Proofs, Models, and Problems, Part 1 Test Questions

1. Given that the value of x is between 0 and 5, but not equal to either 0 or 5, which statement is true?

a. 0 ≤ x2 ≤ 5
b. 0 < x2 < 25 c. 0 ≤ x2 ≤ 25 d. x2 ≤ 25 2. A complex right triangle has orthogonal sides of length (6 + i3) and (4 + i√3). The hypotenuse has the length:
a. √(40 + 4i(9 +2√3))
b. √(40 + i(36 + 2√3))
c. (40 + 4i(9 + 2√3))
d. (40 + i(36 + 2√3))

3. A large L-shaped field is 400 m long in its longest side, and 150 m wide at its widest point. The opposite parallel sides are only 1/5 as long. The total perimeter of the field is:

a. 6000 m
b. 900 m
c. 1200 m
d. 1100 m

4. The total perimeter of an L-shaped field is 800 feet. The longest side is 300 feet, and the longest width is 100 feet. The shorter sides are 50 feet and 50 feet respectively. The total area of the field is:

a. 22,500 square feet
b. 30,000 square feet
c. 17,500 square feet
d. 45,000 square feet

5. If 2n = 6 and 28 = 256, then 28 X 2n =

a. 262
b. 2n+8
c. 28n
d. 2n + 6

6. The series sum of 1/n for integer values of n such that 1 ≤ n ≤ 6 is:

a. 2 1/2
b. 2 9/20
c. 2 5/6
d. 2 3/20

7. A certain special die has eight sides instead of six. The probability of rolling an odd number is:

a. The same as for a six-sided die
b. One-third more than for a six-sided die
c. One-third less than for a six-sided die
d. 25% greater

8. The series sum of (n + 1/n) for integer values 1 ≤ n ≤ 4 is:

a. 11
b. An irrational real number
c. A complex number
d. An integer

Praxis II Mathematics: Proofs, Models, and Problems, Part 1 Test Answer Key