# Free PSAT Math Practice Test Questions

**1. If 14 y – 4 = 24y + 26, then 12y =**

- -24
- -36
- 12
- 12

**2. If x is odd and y is odd, which of the following must be even?**

*x*+*y*- i>xy
*x*/*y**y*/*x*

**3. What is the absolute value of -5 + 3 ?**

- -2
- 8
- -8
- 2

**4. If x + 4 = y, then x + 12 =**

*y**y*+ 8*y*– 4*y*– 8

**5. If Ron scored 74 points in three basketball games, then his average score is calculated:**

- 74/3
- 3/74
- 74 x 4
- 74 – 4

**6. If a coin is tossed twice, what are the chances that one toss will land heads-up and the other will land tails-up?**

- one in three
- one in two
- two in five
- two to one

**7. If 12% of x is 45, what is 20% of x?**

- 65
- 60
- 55
- 75

**8. The square root of a quarter of the product of 4, 2, and 8 is what number?**

- 2
- 6
- 8
- 4

**9. What is the maximum area of a four-sided plane with a perimeter of 12 inches?**

- 8 square inches
- 10 square inches
- 6 square inches
- 9 square inches

**10. What is the average of 1/3 and 1/6?**

- 1/4
- 1/9
- 2/9
- 2/3

**Answer Key**

**1. B.** Solve for *y* in the first equation, then substitute the value for *y* into the second equation.

**2. A.** Two odd numbers added together will always produce an even number.

**3. D.** Absolute value is the number of units from zero on a real number line.

**4. B.** Select values for *x* and *y* that make the first equation true, and then substitute these values into the second equation.

**5. A.** Divide the total number of points scored by the number of games.

**6. B.** There are four possible results: heads-heads, heads-tails, tails-heads, and tails-tails.

**7. D.** Determine the value of *x* by setting up the following equation: 12/100 = 45/*x*.

**8. D.** The product is 64; a quarter of this is 16, of which 4 is the square root.

**9. D.** A square is the four-sided figure with the greatest area; so the maximum area will be 3 x 3 = 9.

**10. A.** Convert the fractions so that they have a common denominator, then add them together and divide by 2.

**For additional information, we recommend you check out these free PSAT test resources:**

PSAT Study Guide

PSAT Writing Practice

PSAT Reading Practice

PSAT Math Practice

PSAT Practice Questions