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)