PSAT MATH QUESTION PAPER WITH SOLUTIONS

About "PSAT Math Question Papers With Solutions"

PSAT Math Question Papers With Solutions :

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.

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PSAT Math Question Papers With Solutions - Practice questions

(1)  It takes George 3 minutes to read 300 words. If each page in a book that he is reading has 750 words, how long will it take George to read 6 pages ?

(A)  30 minutes  (B)  45 minutes  (C)  60 minutes 

(D)  90 minutes  (E)  250 minutes

Solution

(2)  [(1/2) - (3/4)]2 + (5/10)  =  

(A)  9/16  (B)  1/2  (C)  1/16  (D)  3/4  (E)  1/4

Solution

(3)  If x = 25 ⋅ 3⋅ 7, then what is the value of x ?

(A)  1150  (B)  2000  (C)  2015  (D)  2016  (E)  3050

Solution

(4)  A right cylindrical can is being filled with water. At 1 P.M, it is half full at 2 P.M. It is 3/4 the full. At this rate, what was it empty ?

(A)  11 : 00 A.M  (B)  11 : 30 A.M  (C)  12 : 00 P.M

(D)  12 : 30 P.M  (E)  3 : 00  P.M

Solution

(5)  If x8  =  (22) 4, what is x2 ?

(A)  2  (B)  4  (C)  8  (D)  64  (E)  128

Solution

(6)  James has yard work to finish. He finishes 1/8 of the total work on the first day. What fraction of the work is left ?

(A)  1/8  (B)  3/8  (C)  7/8  (D)  3/4  (E)  1/4

Solution

(7)  

There are two different pathways connecting 1 and and 2. How many fewer steps is the solid line path than the dotted line path. (A step is defined as a line segment connecting 2 circles)

(A)  -4  (B)  -1  (C)  1  (D)  4  (E)  7

Solution

(8)  Jackie and Jesse each solve the same problem a different way 

Problem √(a + b)  =  ?

Jackie's way  =  √(a + b)  =  √a + √b

Jesse's way : √(a + b)  =  √(a+b)

If a = 9 and b = 25, how much bigger is Jakie's way than Jesse's way ?

(A)  -2  (B)  0  (C)  2  (D)  √36  (E)  8 - √34

Solution

(9)  If  θ { a, b, c, d, e, f, g, h, i }  =  ab - cd + (ef)2 (gh)2/i

Which cannot be value of θ ?

(A)  θ (0, 0, 0, 0, 0, 0, 0, 0, 1)

(B)  θ (1, 1, 1, 1, 1, 1, 1, 1, 0)

(C)  θ (2, 2, 2, 2, 2, 2, 2, 2, 10)

(D)  θ (2,3, 1, 4, 5, 6, 7, 0, 10)

(E)  0

Solution

(10)  If James grows by 20 inches every day starting Monday. What is the difference in his height between Wednesday and Monday ?

(A)  0 inches  (B)  20 inches  (C)  30 inches 

(D)  40 inches  (E) 60 inches

Solution

(11)  ([1/2)-(/4)] ÷ (1/2)  =  

(A)  1/2  (B)  3/2  (C)  -1/2  (D)  -3/4  (E)  1

Solution

(12)  

Line q intersects the parallel lines p and l. What is y3/3 ?

(A)  x4/3  (B)  x6  (C)  x9  (D)  x4/9  (E)  x6/3

Solution

(13)   Given the arithmetic sequence x, y, 30, z, f find x + y + z + f ?

(A)  60  (B)  80  (C)  120  (D)  130  (E)  140

Solution

(14)  If (-1)2  =  1, then the value (-1) 2023 is

(A)  -2023  (B)  -1  (C)  0  (D)  1  (E)  2023

Solution

(15)  Caroline has two times as many marbles as Jake. Jake has 12 less than 7 times as many marbles James has. James has 14 marbles. How many marbles dies Caroline have ?

(A)  52  (B)  54  (C)  86  (D)  98  (E)  172

Solution

(16)  John is trying to escape a ditch. Every time he jumps 10 meters, he falls back 5 meters right after. The ditch is 19 meters long. What is the minimum number of jumps he needs to make to escape ?

(A)    (B)  4  (C)  5  (D)  7  (E)  8

Solution

(17)  What is the largest number of digits the product of  3 digit and 2 digit number has ?

(A)  4  digit  (B)  5 digit  (C)  6 digit 

(D)  7 digit  (E)  8 digit

Solution

(18)  If Fn  =  2 Fn-1 + 3 Fn-2, then what is F3 if F =  F2  =  1 ?

(A)  2  (B)  3  (C)  4  (D)  5  (E)  10

Solution

(19)  Sam walks 3 m to the west, then 4m south, then 4 m North. How far is he from his original location?

(A)  3 m (B)  5 m (C)  7 m  (D)  8 m  (E)  12 m

Solution

(20)  If a =  3 and b = 5, what is the value of 9a/(b-a) ?

(A)  9  (B)  27  (C)  13/5  (D)  27/2  (E)  26/5

Solution

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