# MATH PSAT PRACTICE TEST

Math PSAT Practice Test :

Here we are going to see some sample questions for PSAT exams. For each and every questions, you will have solutions with step by step explanation.

Each question paper will contain set of 20 questions.

PSAT Math Practice Test Questions

## PSAT Math Practice Test Questions

To see first 10 questions, please visit "PSAT Math Test Preparation".

Question 11 :

The prime factors of 232 are ?

(A)  2, 2, 2, 29     (B)  116, 2     (C)  2, 29    (D)  2, 2, 58

Solution :

Hence the distinct prime factors are 2, 2, 2 and 29.

Question 12 :

Find the value of t if t/32  =  x/p

(A)  32p/x     (B)  32/px     (C)  32x/p   (D)  32px

Solution :

t/32  =  x/p

Multiply by 32 on both sides, we get

t  =  32x/p

Question 13 :

If (x + y)2  =  x2 + y2, then what condition must be true ?

(A)  x + y  =  0    (B)  2x  =  0    (C)  2y  =  0  (D)  xy  =  0

Solution :

Formula for (x + y)2  =  x2 + y2 + 2xy

In order to make the right hand side as x2 + y2, we have to the value of xy as 0.

Question 14 :

Sarah has a trick coin that has heads on both sides. She asks he friend John, who believes the coin is fair, to guess what face it will land on. If they flip the coin 100 times, how many times bigger is Sarah's expected probability of the coin landing on heads than John's expected probability of the coin landing on heads ?

(A)  0.25  (B)  0.5  (C)  1  (D)  2  (E)  4

Solution :

According to Sarah's belief probability of getting head =  1 (Sure event)

According to John's belief probability of getting head =  1/2 (Sure event)

1 is 2 times greater than 1/2.

Hence 2 times is the answer.

Question 15 :

What is the square of a number that when added to any number does not change that number's value ?

(A)  0  (B)  0.5  (C)  1  (D)  4  (E)  undefined

Solution :

0 is the number, when we add any number with zero, it will become the same number. By squaring 0, we get 0.

Question 16 :

How many non zero numbers are between 3 and 5 ?

(A)  0  (B)  2  (C)  8  (D)  9  (E)  undefined

Solution :

The question is, how many non zero numbers are between 3 and 5, it should not be decimal.

Hence the answer is undefined.

Question 17 :

What time will it  be 53 hours after 3 : 30 P.M on Thursday ?

(A)  7 : 30 A.M Saturday  (B)  8 : 30 A.M Saturday

(C)  7 : 30 P.M Saturday  (D)  8 : 30 P.M Saturday

(E)  8 : 30 P.M Sunday

Solution :

First let us divide 53 by 24.

3 : 30 PM - 3 : 30 PM (Thursday - Friday)

3 : 30 PM - 3 : 30 PM (Friday - Saturday)

53  =  2 (24) + 5

5 hours after 3 : 30 P.M on Saturday

8 : 30 PM on Saturday

Question 18 :

Samuel scored a 72, 92 and 80 on his first three exams. What is the minimum score he needs to get an average of 85 ?

(A)  85  (B)  90  (C)  93  (D)  96  (E)  100

Solution :

Let "x" be the required score.

(72 + 92 + 80 + x)/4  =  85

(244 + x)  =  340

x  =  340 - 244

x  =  96

Question 19 :

Five out of marbles in a bag are red. What percentage of the marbles is not red ?

(A)  50%  (B)  55%  (C)  60%  (D)  75%  (E)  80%

Solution :

Total number of marbles  =  10

Number of red marble  =  5

Percentage of red marble  =  (5/10) x 100 %

=  50%

What percentage of the marbles it is not red  =  50%

Question 20 :

√81 √25 + √16  =

(A)  5  (B)  40  (C)  49  (D)  56  (E)  64

Solution :

=  √81 √25 + √16

=  √(9 ⋅ 9) √(5 ⋅ 5) + √(4 ⋅ 4)

=  (9 ⋅ 5) + 4

=  45 + 4

=  49

Hence the answer is 49.

After having gone through the stuff given above, we hope that the students would have practiced, Math PSAT Practice Test

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Algebra word problems

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Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

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Pythagorean theorem word problems

Percent of a number word problems

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Word problems on average speed

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Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6