PSAT MATH QUESTION PAPER ONLINE

(1)  If Anthony and Bridget take turns watching T.V every 4 hours and Anthony's third watch was at 10 : 00 P.M and Bridget was the first to watch T.V, then when did Bridget begin her second watch ?

(A)  6:00 P.M  (B)  2:00 P.M  (C)  10:00 A.M

(D)  10:00 P.M  (E)  6:00 A.M

Solution

(2)  There is a total of 9 bicycles and unicycles in a path. There are 13 wheels in total. If x is the number of bicycles, what is x² ?

(A)  16  (B)  12  (C)  23  (D)  13  (E)  9

Solution

(3)  A boy moves 4 miles south, Then he turns 90 degree to the left. He moves forward 6 miles. He turns 90 degree to the left. He moves forward 4 miles. How far is he now than from his starting point ?

(A)  4 miles   (B)  3 miles  (C)  6 miles

(D)  5 miles (E)  8 miles

Solution

(4)  

The angle is between two diagonal lines of the cube.

In the figure, what is θ

(A)  45  (B)  56  (C)  60  (D)  90  (E)  30

Solution

(5)  

OL is the radius. What is the perimeter of the figure above ?

(A)  12 + 5π     (B)  12 + 25π     (C)  6 + 25π 

(D)  22 + 5π    (E)  22 + 25π

Solution

(6) What is 0.53 bar - 0.36 bar?

(A)  7/50  (B)  17/100  (C)  7/99  (D)  17/99  (E)  7/9

Solution

(7)  The sum of two positive numbers is 6 times their difference. What is the ratio of reciprocal of larger number to the reciprocal of smaller ?

(A)  5/7  (B)  7/5  (C)  5/2  (D)  2/5  (E)  9/5

Solution

(8)  The mean weekly salary of 9 teachers in a school is $1,000. If there are 9 teachers and 11 assistant principals and the mean weekly salary for assistant principals and teachers is $1,275, what is the mean salary of the assistant principals ?

(A)  $1,100  (B) $1,500  (C) $1,137.50 

(D) $1,300  (E) $1,000

Solution

(9)  Given  x_n  =  x_{n - 1} + x_n-2, what is x₆/x₅, knowing that x₄  =  3 and x₃  =  2?

(A)  3/2  (B)  5/8  (C)  8/5  (D)  2/3  (E)  13/5

Solution

(10)  f(x)  =  (1 - x)/(x - 1), which of the following set is not a possible domain for the given function ?

(A)  {2, 3, 5}  (B)  {1, 0 , 6}  (C)  {π, 2.17, 10}

(D)  {2π, π², 0.65}  (E)  {4, 6, 10}

Solution

(11)  √100 √64

(A)  8  (B)  10  (C)  18  (D)  80  (E)  164

Solution

(12) 

7.2 aliens  =  1 monster

1 monster  =  15.5 oranges

Using the conversion above, how many oranges are equal to 1 alien ?

(A)  0.46  (B)  1.95  (C)  2.15  (D)  22.7  (E)  111.6

Solution

(13)  What is the greatest common factor of 147 and 198 ?

(A)  2  (B)  3  (C)  7  (D)  14  (E)  49

Solution

(14)  If x = 7 and y = 0, what is the value of 11x/x-y?

(A)  0  (B)  7  (C)  10  (D)  11  (E)  77

Solution

(15)  Heiga has 4 dogs, 3 cats and 2 birds. If she closes her eyes and picks one animal. What is the probability that it does not have 4 legs ?

(A)  3/7  (B)  2/7  (C)  7/9  (D)  2/9  (E)  4/7

Solution

(16)  If y = x²⋅x^x, what is y when x = 2 ?

(A)  16  (B)  8  (C)  4  (D)  32  (E)  0

Solution

(17)  Train A, travelling at 200 mph, leaves station A at 1 P.M train B travelling at 300 mph, leaves station B ar 3 P.M. Both stations are directly across each other and X miles away. If the trains meet at 4 P.M, What is X?

(A)  500 ml  (B)  900 ml  (C)  700 ml 

(D)  600 ml  (E)  400 ml

Solution

(18)  Bernard is now y years old. Luis is 8 years older than Bernard. In terms of y, how old was Luis 5 years ago?

(A)  8y  (B)  8y - 5  (C)  y + 3  (D)  y + 13  (E)  y - 5

Solution

(19)  

In a figure above, ABC, DBE, EFG and CFH are straight line segments. What is the value of x ?

(A)  25  (B)  45  (C)  65  (D)  70  (E)  75

Solution

(20)  Which of the following shows the fraction 13/3, 37/8 and 19/4 in order from greatest to least ?

(A)  37/8, 19/4, 13/3

(B)  37/8, 13/3, 19/4

(C)  19/4, 13/3, 37/8

(D)  19/4, 37/8, 13/3

(E)  13/3, 19/4, 37/8

Solution