SHSAT MATH SAMPLE TEST

(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 16^th 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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