SHSAT MATH PRACTICE TEST FOR 9th GRADERS

Question 1 :

Thirty of the fifty students who took an exam received a grade of 90%  or greater.  What percentage of those fifty students received a grade of less than 90%?

(A)  70  (B)  35  (C)  40  (D)  30  (E)  10

Solution

Question 2 :

Let n be a number from -3 to 4 inclusive.  What is the range of values of n²?

(A)  -9 ≤ n² ≤ 16  (B)   9 ≤ n² ≤ 16  (C)  3 ≤ n² ≤ 4 

(D)  0 ≤ n² ≤ 2  (E)  0 ≤ n² ≤ 16

Solution

Question 3 :

A is 3 times C.  B is 8 less than C.  For what value of C does A = B?

(A)  -4  (B)  0  (C)  1  (D)  2  (E)  5/2

Solution

Question 4 :

In a class of 28 students, everyone likes math, English, or both.  If 17 like math and 19 like English, how many like both?

 (A)  2  (B)  8  (C)  16  (D)  20  (E)  28

Solution

Question 5 :

Let x = 3²·5³·7⁴ and y = 2³·3·5².  What is the greatest common factor of and y?

(A)  2· 3 · 5 · 7  (B)  2³ · 3² · 5³ · 7⁴  (C)  3 · 5 

(D)  3 · 5²  (E)  3²·5³

Solution

Question 6 :

The population density of Cedar County is 230 people per square mile. The county has a population of 85,100 people. What is the area, in square miles, of Cedar County?

Question 7 :

For the function f, the graph of y = f(x) in the xy-plane has slope of 3 and passes through the point (0, -8). Which equation defines f ?

a) y = 3x     b) y = 3x - 8      c) y = 3x + 5    d) y = 3x + 11

Question 8 :

The y-intercept of the graph of 

12x + 2y = 18

in the xy-plane (0, y). What is the value of y ?

Question 9 :

If quotient = 3x² – 2x + 1, remainder = 2x - 5 and divisor = x + 2, then the dividend is:

A) 3x³ - 4x² + x - 3       B) 3x³ - 4x ² - x + 3

C) 3x³ + 4x ² -x + 3       D) 3x³ + 4x ² - x - 3

Question 10 :

Factor it completely 

2k³ + 6k² + 5k + 15

Question 1 :

The equation 2(3x + 8) = 3(2x + 4) is satisfied by

(A)  no value of x.  (B)  only negative values of x 

(C)  only x = 0.  (D)  only positive values of x. 

(E)  all values of x.

Solution

Question 2 :

In the formula V = s²h, if s is doubled and h is tripled, then V is multiplied by

 (A)  5  (B)  6  (C)  12  (D)  18   (E)  36

Solution

Question 3 :

You have 10 large boxes that can each hold 8 soccer balls, and 10 small boxes that can each hold 5 of the same soccer balls.  If you have 99 soccer balls, what is the greatest number of boxes you can completely fill? 

(A)  13  (B)  14  (C)  15  (D)  16  (E)  19

Solution

Question 4 :

The straight line graph shows the relationship between number of hours worked and amount earned.  How much would be earned for 50 hours of work?

(A)  $50  (B)  $83  (C)  $120  (D)  $150  (E)  $300

Solution

Question 5 :

The perimeter of a triangle, all of whose sides have integer length, is 19.  A possible length for the largest side is

(A)  6  (B)  8  (C)  10  (D)  15  (E)  17

Solution

Question 6 :

f(x) = (3x/4) - 2

Which of the following could be the graph in the xy-plane of the function above

Solution

Question 7 :

As a part of he role on a planning committee for high school prom, Keisha hired a DJ. The DJ charges $150 per hour for performing plus $100 flat fee for set up and takedown . The committee budgeted $700 for a DJ for the prom. Which of the following represents the number of preforming hours x, for which DJ could hired to stay within the committee budget ?

A) x ≥ 7     B) x ≤ 7      C) x ≥ 4     D) x ≤ 4

Solution

Question 8 :

y = x - 4

y = x² - 16

If (x, y) is the solution to the system of equations above, which of the following could be the value of x ?

A)  20     B)  12    C) -3    D) -4

Solution

Question 9 :

To ship a parcel based on its weight, a certain mail shipping service charges $2.50 for the first pound and $0.50 for each additional pound. If the parcel weights w pounds where w is a positive integer, which of the following represents the shipping charge c in dollars in terms of w ?

A) c = 2.5 + 0.5 (w - 1)     B) c = 0.5 + 2.5(w - 1)

C) c = 2.5 + 0.5w       D)  c = 0.5 + 2.5 w

Solution

Question 10 :

The equation y = 7^x - 1 is graphed in the xy-plane. What is the y-intercept of the graph ?

A)  (0, -1)   B) (0, 0)    C) (0, 6)    D) (0, 7)

Solution

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