9th GRADE SHSAT PRACTICE TEST

(1)  How many multiples of 3 between 1 and 22 are even?

(A)  7  (B)  5  (C)  3  (D)  1  (E)  None

Solution

(2)  2x(3y) =

(A)  12xy  (B)  6xy  (C)  5xy  (D)  6x + 6y  (E)  5x + 5y

Solution

(3) 

In triangle ABC, AB = AC and the measure of angle C is 70°.  What is the  measure of angle A, in degrees ?

(A)  40  (B)  55  (C)  60  (D)  70  (E)  90

Solution

(4)  √36 x √9 + √16 =

(A)  √340  (B)  22  (C)  30  (D)  42  (E)  150

Solution

(5)  At 9 A.M. it was 12 degrees below zero.  By noon the temperature had dropped 7 degrees.  Over the next two hours, the temperature rose  5 degrees.  What was the temperature at 2 P.M.?

(A)   0°  (B)  10° below zero  (C)  14° below zero 

(D)  24° below zero  (E)  none of these

Solution

(6) Bob’s age is now 3 times Tom’s age.  Twelve years from now, Tom will be 15 years old.  How many years old is Bob now?

(A)  3  (B)  5  (C)  9  (D)  27  (E)  45

Solution

(7) 

In rectangle ABCD, point E is on side AB.  What is the measure of angle DEC?

(A)  10°  (B)  48°  (C)  60°  (D)  70°  (E)  90°.

Solution

(8) If 1 < 4n < 50, and n is a positive Integer, what is the largest possible value for n?

(A)  199  (B)  49  (C)  13  (D)  12.5  (E)  12

Solution

(9) Which of the following is equal to (8x-8)/2?

(A)  8x – 4  (B)  4x – 4  (C)  4x – 8  (D)  4x  (E)  4

Solution

(10)  If 7x – 14 = 14 – 7x, then x =

(A)  -4  (B)  -2  (C)  0  (D)  2  (E)  4

Solution

(11)  If N granola bars cost 3 dollars, then the cost of 3 granola bars is

(A)  9/N dollars  (B)  N dollars  (C)  3N dollars 

(D)  1 dollar  (E)  9 dollars

Solution

(12)    In Mr. Romano’s class, the ratio of the number of girls to the number of boys is 3:2.  A student is selected at random from the class.  The probability that the selected student is a boy is

(A)  1/6  (B)  1/3  (C)  2/5  (D)  3/5  (E)  2/3

Solution

(13)  Each of the integers from -3 to 5 inclusive is placed in the diagram, with one number going into each box.  If the sum of the numbers in each row is the same, what is that sum?

 (A)  0  (B)  3  (C)  5  (D)  6  (E)  7

Solution

(14)  What is the median of the set of numbers {4, 16, 12, 10, 6,  8,  12,  12}?

(A)  9  (B)  10  (C)  11  (D)  12  (E)  13

Solution

(15)  If x means (x+3) / x then the value of (3)(6) is

(A)  7/6  (B)  4/3  (C)  3  (D)  16  (E)  18

Solution

(16) What is the least common multiple of P and Q if

P = 3·3·11·11·13 and Q =  3·5·11·11·11?

(A)   3·11  (B) 3·5·11·13  (C)  3·11·11 

(D)  3·3·11·11·11  (E)  3·3·5·11·11·11·13

Solution

(17)  What is the perimeter of figure ABCDEF?      

(A)  33  (B)  34  (C)  35  (D)  36  (E)  none of these

Solution

(18)  The value of 808080 / 80 is

(A)  111  (B)  10101  (C) 101010  (D)  640  (E)  1000

Solution

(19)  From 7:00 P.M. to 8:00 P.M., Jose completed one-third of this homework.  From 8:00 P.M. to 9:00 P.M., he completed 1/4  of the remaining part of his homework.  What fraction of his homework still remained to be completed after 9:00 P.M.?

(A)  1/2  (B)  1/3  (C)  1/4  (D)  1/5  (E)  1/6

Solution

(20)  Which of the following represents the phrase “ 5 less than 8 times n”?

(A)  5 < 8n  (B)  5 – 8n  (C)  8n + 5

  (D)  8n – 5  (E)  n – 3

Solution