**PSAT Math Question Paper with Solutions :**

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

Students can practice the PSAT Math questions given below and verify their answer with the step by step solution explained for each problem.

(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

(2) [(1/2) - (3/4)]^{2} + (5/10) =

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

(3) If x = 2^{5} ⋅ 3^{2 }⋅ 7, then what is the value of x ?

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

(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^{th} full. At this rate, when 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

(5) If x^{8} = (2^{2}) ^{4}, what is x^{2} ?

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

(6) James has a 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

(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

(8) Jackie and Jesse each solve the same problem in 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

(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

(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

(11) Evaluate ([1/2)-(3/4)] ÷ (1/2) =

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

(12)

Line q intersects the parallel lines p and l. What is y^{3}/3 ?

(A) x^{4}/3 (B) x^{6} (C) x^{9} (D) x^{4}/9 (E) x^{6}/3

(13) Given the arithmetic sequence x, y, 30, z, f then find the value of x + y + z + f

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

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

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

(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

(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) 3 (B) 4 (C) 5 (D) 7 (E) 8

(17) What is the largest number of digits that 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

(18) If Fn = 2 F_{n-1} + 3 F_{n-2}, then what is F_{3} if F_{1 } = F_{2} = 1 ?

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

(19) Sam walks 3m 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

(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

If you would like to have more questions on PSAT math, please click on the links given below.

**PSAT online practice test math - Paper 1**

**PSAT online practice test math - Paper 2**

**PSAT online practice test math - Paper 3**

**PSAT online practice test math - Paper 4**

**PSAT online practice test math - Paper 5**

**PSAT online practice test math - Paper 6**

**PSAT online practice test math - Paper 7**

**PSAT online practice test math - Paper 8**

**PSAT online practice test math - Paper 9**

**PSAT online practice test math - Paper 10**

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