PSAT MATH PRACTICE QUIZ

Problem 1 :

PSAT-q8.png

The box plot summarizes 15 data values. What is the median of this data set?

A) 2     B) 3     C) 5     D) 8

Solution

Problem 2 :

What is the x-intercept of the graph shown?

A) (−5, 0)       B) (5, 0)       C) (−4, 0)        D) (4, 0)

PSAT-q9.png

Solution

Problem 3 :

Henry receives a $60.00 gift card to pay for movies online. He uses his gift card to buy 3 movies for $7.50 each. If he spends the rest of his gift card balance on renting movies for $1.50 each, how many movies can Henry rent?

A) 10      B) 25       C) 35      D) 40

Solution

Problem 4 :

x = 49

y = √x+9

The graphs of the given equations intersect at the point (x, y) in the xy-plane. What is the value of y ?

A) 16     B) 40     C) 81     D) 130

Solution

Problem 5 :

If 2x = 12, what is the value of 9x ?

Solution

Problem 6 :

Line k is defined by

y = (1/4)x + 1

Line j is parallel to line k in the xy-plane. What is the slope of j ?

Solution

Problem 7 :

6, 6, 8, 8, 8, 10, 21

Which of the following lists represents a data set that has the same median as the data set shown?

A) 4, 6, 6, 6, 8, 8       B) 6, 6, 8, 8, 10, 10

C) 6, 8, 10, 10, 10, 12      D) 8, 8, 10, 10, 21, 21

Solution

Problem 8 :

The length of the base of a certain parallelogram is 89% of the height of the parallelogram. Which expression represents the length of the base of the parallelogram, where h is the height of the parallelogram?

A) 89h      B) 0.089h     C) 8.9h        D) 0.89h

Solution

Problem 9 :

For a camping trip a group bought x one-liter bottles of water and y three-liter bottles of water, for a total of 240 liters of water. Which equation represents this situation?

A) x + 3y = 240        B) x + y = 240

C) 3x + 3y = 240     D) 3x + y = 240

Solution

Problem 10 :

y = −4x + 40

Which table gives three values of x and their corresponding values of y for the given equation?

PSAT-q10.png

Solution

Problem 11 :

PSAT-q11.png

The shaded region shown represents solutions to an inequality. Which ordered pair (x, y) is a solution to this inequality?

A) (0, −4)    B) (0, 4)      C) (−4, 0)      D) (4, 0)

Solution

Problem 12 :

In triangle JKL , the measures of ∠K and ∠L are each 48°. What is the measure of ∠J, in degrees? (Disregard the degree symbol when entering your answer.)

Solution

Problem 13 :

y = x2 + 14x + 48

x + 8 = 11

The solution to the given system of equations is (x, y). What is the value of y ?

Solution

Problem 14 :

A cleaning service that cleans both offices and homes can clean at most 14 places per day. Which inequality represents this situation, where f is the number of offices and h is the number of homes?

A) f + h ≤ 14      B) f + h ≥ 14       C) f - h ≤ 14      D) f - h ≥ 14

Solution

Problem 15 :

Which expression is a factor of

2x2 + 38x + 10 ?

A) 2      B) 5x     C) 38x    D) 2x2

Solution

Answer Key

1)  Median is 5.

2) (4, 0) and (4, 0).

3)  x = 25

4)  y = 16.

5)  x = 6

6) slope (m) = 1/4

7)   B) 6, 6, 8, 8, 10, 10


8)  0.89 h

9)  1x + 3y = 240

10) option B

11)  (4, 0)

12)  ∠J = 84°

13)  y = 99

14)  f + h ≤ 14.

15)  2

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