PSAT Math Practice Questions

1. If 14y - 4 = 24y + 26, then 12y =
A: -24
B: -36
C: 12
D: 12

2. If x is odd and y is odd, which of the following must be even?
A: x + y
B: xy
C: x/y
D: y/x

3. What is the absolute value of -5 + 3 ?
A: -2
B: 8
C: -8
D: 2

4. If x + 4 = y, then x + 12 =
A: y
B: y + 8
C: y - 4
D: y - 8

5. If Ron scored 74 points in three basketball games, then his average score is calculated:
A: 74/3
B: 3/74
C: 74 x 4
D: 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?
A: one in three
B: one in two
C: two in five
D: two to one

7. If 12% of x is 45, what is 20% of x?
A: 65
B: 60
C: 55
D: 75

8. The square root of a quarter of the product of 4, 2, and 8 is what number?
A: 2
B: 6
C: 8
D: 4

9. What is the maximum area of a four-sided plane with a perimeter of 12 inches?
A: 8 square inches
B: 10 square inches
C: 6 square inches
D: 9 square inches

10. What is the average of 1/3 and 1/6?
A: 1/4
B: 1/9
C: 2/9
D: 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.

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