SHSAT MATH SAMPLE TEST

About "SHSAT Math Sample Test"

SHSAT Math Sample Test :

Here we are going to see some practice questions questions for SHSAT exams. Each question paper consists of 20 question. For each questions, you can find solution with detailed explanation. 

SHSAT Math Sample Test - Practice questions

(1)  If p = -3 and q = 2, what is the value of p2 – (q – p)?

(A)  -14  (B)  14  (C)  -4  (D)  4  (E)  11

Solution

(2)  What is the area of triangle ABC?

(A)  15  (B) 18  (C) 22 ½  (D)  25  (E)  30

Solution

(3)  If (64/(x-8)) + 7 = 11, what is the value of (64/(x-8)) ?

(A)  2  (B)  4  (C)  16  (D)  24  (E)  32

Solution

(4)  If the diameter of a circle is 6.4 x 108, then the radius of the circle is

(A)  3.2 x 108  (B)  3.2 x 104  (C)  3.2 x 58 

(D)  6.4 x 104  (E)  6.4 x 58

Solution

(5)  When 1/11 is expressed as a decimal, what digit appears in the 16th place to the right of the decimal point?

(A)  0  (B)  1  (C)  2  (D)  5  (E)  9

Solution

(6)  (7)(6) – 6 =

(A)  0  (B)  1  (C)  7  (D)  36  (E)  42

Solution

(7)  Fred and Michael collected money for the school trip.  Fred collected 50% more than Michael.  If Michael collected $150, how much did Fred and Michael collect all together?

(A)  $150  (B)  $225  (C)  $375  (D)  $450  (E)  $475

Solution

(8)  5.835 x 104 is equal to

(A)  .0005835  (B)  .005835  (C)  58,350 

(D)  583,500  (E)  58,350,000

Solution

(9)  What is the value of |x - y| + |y – x| if x = 9 and y = 2x?

(A)  18  (B)  9  (C)  4.5  (D)  0  (E)  -9

Solution

(10)  When 54 is divided by the  positive integer N, the quotient is 13 and the remainder is R.  The value of R is

(A)  0  (B)  1  (C)  2  (D)  3  (E)  4

Solution

(11)  If N = √(36 + 49), then N is

(A)  a number between 9 and 10 

(B)  a number between 10 and 11

(C)  a number between 11 and 12 

(D)  a number between 12 and 13  (E)  13

Solution

(12)  Susan is 5 years older than Phen is now.  In N years, Susan will be twice as old as Phen is now.  If Susan is now 22 years old, what is the value of N?

(A)  5  (B)  12  (C)  17  (D)  22  (E)  34

Solution

(13)  The number of integer values of n for which 1 ≤ √n ≤ 3 is

(A)  3  (B)  9  (C)  7  (D)  1  (E)  0

Solution

(14)  In right triangle ABC, angle ACB is 90°.  The  number of degrees in angle BEC is

(A)  80  (B)  70  (C)  60  (D)  50  (E)  40

Solution

(15)  If it is now 12:00 noon, what time was it 40 hours ago?

(A)  4 A.M.  (B)  6 A.M.  (C)  8 A.M

(D)  4 P.M.  (E)  8 P.M.

Solution

(16)  The mean of all the odd integers between 6 and 24 is

(A)  11  (B)  12  (C)  13  (D)  14  (E)  15

Solution

(17)  Let x be an element of the set {.2, 1.2, 2.2, 3.2, 4.2}.  For how many values of x is 10x/3 an integer?

(A)  0  (B)  1  (C)  2  (D)  3  (E)  4

Solution

(18)  George has just enough money to buy 3 chocolate bars and 2 ice cream cones.  For the same amount money, he could buy exactly 9 chocolate bars.  For the same amount of money, how many ice cream cones could George buy?

(A)  3  (B)  5  (C)  6  (D)  7  (E)  9

Solution

(19)

ABCD and PQRS  are squares, as shown.  The area of PQRS is

(A)  3  (B)  4  (C)  5  (D)  6  (E)  7

Solution

(20)  If x = 10 and y = 8, what is the value of y(3x – 2y)?

(A)  112  (B)  224  (C)  1792  (D)  -144  (E)  140

Solution

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