PSAT ONLINE MATH PRACTICE TEST

(1)  If x*  =  7/x, what is the value of 14 (14*)?

(A)  0.25  (B)  0.50  (C)  7  (D)  14  (E)  196

Solution

(2)  What is the least common multiple of 4, 16, 25, and 30 ?

(A)  30  (B)  160  (C)  240  (D)  480  (E) 1200

Solution

(3)  How many positive integers are between -7/3 and 5/2 ?

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

Solution

(4)  The perimeter of the rectangle is 80 inches. If the width is 18 inches, what is the area of the rectangle ?

(A)  22 sq.in  (B)  80 sq.in  (C)  324 sq.in

(D)  396 sq.in  (E)  6400 sq.in

Solution

(5)  7|-x - 3|  =  b, if x = -3, what is b ?

(A)  24  (B)  40  (C)  42  (D)  26  (E)  0

Solution

(6)  1 + 2 + 3 + 4 + 5 + ............. + 100  =  

(A)  1010  (B)  5050  (C)  101  (D)  5000  (E)  1000

Solution

(7)  After a 10% increase, a population was 55. What was the population before the increase ?

(A)  44  (B)  50  (C)  40  (D)  45  (E)  51

Solution

(8)  The length of a rectangular solid is 10. The width, w and the height h follow the relationship, w³h³  =  27. What is the volume of the rectangular solid ?

(A)  270  (B)  30  (C)  90  (D)  60  (E)  33 

Solution

(9)

AC has a length of 10 and r, the radius is 7. What is x ?

(A)  5  (B)  7  (C)  7√2  (D)  10  (E)  17

Solution

(10)  Find the value of x in the diagram shown below.  

(A)  2√5  (B)  √83  (C)  3√83  (D)  2√332  (E)  √332

Solution

(11)  If A  =  3r²h² and (rh) increases by 100%, then the new A is what times of the old A ?

(A)  2  (B) 3  (C)  4  (D)  5  (E)  12

Solution

(12)  If x^a  =  ^q√x^p, what is p²/q² ?

(A)  √a    (B)  a^1/3    (C)  a²    (D)  a    (E)  a³

Solution

(13)  Set A  =  {1, 2, 3, a} set B  =  {2, 4, 5, a², b} what is AnB ?

(A)  {2, a}  (B)  {2, a², b}  (C) {2, b/a}  (D)  {2}  (E)  {2,a/b}

Solution

(14)  2√75 - (√25) (√3)

(A)  5√3  (B)  10√5  (C)  √70 (E)  2 √5  (E)  5 

Solution

(15)  Express 0.0345/10 in scientific notation.

(A)  3.45 x 10^-2  (B)  0.345 x 10^-2 (C)  3.45 x 10^-3 

(D)  0.345 x 10^-3  (E)  0.00345 x 10

Solution

(16)  If q  =  x + y and x  =  y + z, what is z in terms of y and q ? 

(A)  q - 2x  (B)  q - 2y   (C)  2x - q  (D)  2y + q  (E)  2q + x

Solution

(17)  y = x³

The only possible values of x are those in the set {-1/3, 1/2, 1/3} what is the maximum value of y ?

(A)  1/27  (B)  -1/127  (C)  1/4  (D)  1/8  (E)  1/6

Solution

(18)  What is (x³y²z⁴)/(z³y³) equal to ?

(A)  x³yz  (B)  x³/3  (C)  x³yz²  (D)  x³z/y  (E)  x³y/z

Solution

(19)  What is the length of RL ?

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

Solution

(20) In a triangle, the first angle is two times the second angle and the second angle is three times the third angle. Find the measure of the third angle.  

(A)  10°  (B)  15°  (C)  18°  (D)  25°  (E)  90° 

Solution

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