PSAT PRACTICE QUESTION PAPER IN MATH

(1)  If x and y are integers, which is always even ?

(A)  (x + y)/2  (B)  2(x + y)/x  (C)  x - y 

(D)  2(x + y)  (E)  x2 + y2

Solution 

(2)

What is the probability that a point chosen will be in the shaded region. ?

(A)  y2/x2  (B)  (x + y)2/y2  (C)  x2/(y2-x2)  

(D)  (y2-x2)/y2  (E)  π

Solution

(3)  If q = x + y and x = y + z, what is z in terms of y and q?

(A)  q- 2x  (B)  q - 2y  (C)  2x - q  (D) 2y + q   (E)  2q + x

Solution

(4)  What is (5 !)!/ 5! ?

(A)  1  (B)  5  (C)  120  (D)  720  (E)  None of these

Solution

(5)  What is (a2 + 2ab + b2)/(a + b)3 ?

(A)  a + b    (B)  a2 + b2    (C)  1/(a + b) 

(D)  1/(a+ b)2    (E)  (a + b)2

Solution

(6)  It takes 3 cats 3 minutes to catch 3 mice. How many cats are needed to catch 99 mice in 99 minutes ?

(A)  3  (B)  6  (C)  11  (D)  33  (E)  99

Solution

(7)  The sum of seven consecutive odd integers is 749. What is the largest of the seven integers ?

(A)  99  (B)  103  (C)  11  (D)  113  (E)  115

Solution

(8)  V = πr2 h Using the formula, if r is doubled and h is divided by 2, what is the ratio of the original volume to the new volume ?

(A)  1 : 4  (B)  1 : 2  (C)  1 : 1 (D)  2 : 1  (E)  4 : 1

Solution

(9)  A yellow cab has the base fare of $ 3.50 per ride plus $0.20 for each 1/4 of mile ridden. If a yellow cab costs $ 22.50, how many miles long was the ride ?

(A)  23.75 miles  (B)  42.5 miles  (C)  47.5 miles 

(D)  95 miles  (E)  112.5 miles

Solution

(10)  John works 40 hours a week, and his monthly salary in June was $ 4000. In the month July, John got 4% raise on his monthly salary. In the month of July, what was John's hourly rate ?

(A)  $ 25  (B)  $ 26  (C) $ 40  (D)  $ 100  (E)  $104

Solution

(11)  If 8575  =  5⋅ 7y, what is x y - 5 ?

(A)  1  (B)  3  (C)  6  (D)  7  (E)  12

Solution

(12)  When d is divided by 8, the remainder is 3. What is the remainder when d + 3 is divided by 8 ?

(A)  1  (B)  3  (C)  4  (D)  6  (E)  7

Solution

(13)  Tommy is making as 6 letter password using only the letters A, B, C, D, E and F. How many different codes can Tommy make, if every letter can only be used once in each code ?

(A)  1  (B)  6  (C)  120  (D)  720  (E)  46, 656

Solution

(14)  -5 (x -3) ≥ 20 what is the solution to the inequality shown above ?

(A)  x ≥ -1  (B)  x ≥ 7  (C)  x ≤ -1  (D)  x ≤ 7  (E)  x ≥ 1

Solution

(15)  Which numbers line below shows the solution to the inequality -2 < x/3 ≤ 2 ?

Solution

(16)  There are 15,000 teens whose favorite genre is comedy. How many teens have a favorite genre of action ?

(A)  30  (B) 41,250  (C)  52,500

(D)  56,250  (E)  70,000

Solution

(17)  A computer originally prices at $550.50 is on sale for 20% off. Jamie used a 5% discount coupon which was applied to the sales price. How much did Jamie pay for the computer ?(Assume there is no tax)

(A)  $412.88  (B)  $418.38  (C)  $440.40

  (D)  $522.98  (E)  539.49

Solution

(18) Solve the following, x2/y, if x represents the smallest prime factor and y represents the greatest prime factor of 4760.

(A)  119/4  (B)  4/17  (C)  2/119   (D)  4/119  (E)  2/17

Solution

(19)  An adult male Diptera has a mass of 11.5 milligrams. What is the Diptera's mass in grams?

(A)  0.0115 g  (B)  0.115 g  (C)  1.15 g  

(D)  11.5 g  (E)  115 g

Solution

(20)  Michel has a project due in exactly 83 hours. It is currently 8 : 30 on Monday morning. What time is his project due ?

(A)  6:30 PM Friday  (B)  7:30 PM Friday  

(C)  7:30 AM Thursday

(D)  7:30 PM Thursday  (E)  9:30 PM Thursday

Solution

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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