**PSAT Practice Math Worksheet 3 :**

Worksheet given in this section will be much useful for the students who are preparing for PSAT.

Students can practice the math questions given here and they can improve their sills to score better in PSAT

(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

(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 x^{2} ?

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

(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

(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

(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

(6) What is 0.53 bar - 0.36 bar?

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

(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

(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

(9) Given x_{n} = x_{n - 1} + x_{n-2}, what is x_{6}/x_{5}, knowing that x_{4 } = 3 and x_{3} = 2?

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

(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, π^{2}, 0.65} (E) {4, 6, 10}

(11) √100 √64

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

(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

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

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

(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

(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

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

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

(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

(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

(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

(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

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