PSAT QUESTION PAPER FOR MATH

(1)  Convert 7/20 to decimal form 

(A)  0.0035  (B)  0.035  (C)  0.35  (D)  3.50  (E)  35.0

Solution

(2)  The value of 500000 + 400 + 5 is 

(A)  500, 450  (B)  540, 005  (C) 540, 500 

(D)  500, 405  (E)  540, 450  

Solution

(3) If x = 4 and y = 3, what is (x + y)² ?

(A)  25  (B)  32  (C)  7  (D)  49  (E)  50

Solution

(4) (√144)(√16)  =  

(A)  16  (B)  48  (C)  12  (D)  32  (E)  20

Solution

(5)

1 knot  =  3 vines

2 shings  =  4 knots

How many Shings are in 9 Vines ?

(A)  4/5  (B)  2/3  (C)  5/4  (D)  3/2  (E)  1/2

Solution

(6)  What numbers is half way between 2 ⋅ (3/6) and 4 ?

(A)  2  (B)  2.5  (C)  3.5  (D)  3  (E)  1.5

Solution

(7)  In the figure given below LGQ is a triangle. What is z in terms of y ?

(A)  30 - y  (B)  y + 150  (C)  2y + 30 

(D)  2y - 30  (E)  180 + y

Solution

(8)  -2 + 5 (-18 ÷ 3 + 9) - 13  =  

(A)  3   (B)  -4  (C)  13  (D)  0  (E)  -15

Solution

(9)  The area of a square is equal to the area of circle, whose diameter is 10. What is the length of a side of the square ?

(A)  π r √5  (B)  25 π r  (C)  √5 r²

  (D)  5 √π  (E)  25 √πr

Solution

(10) 4a (3b - 6)

(A)  7a b - 6  (B)  7ab - 2a  (C)  12 ab - 6

(D)  12b - 24  (E)  12ab - 24a 

Solution

(11)  (-39)²/13³  =

(A)  -3  (B)  -1/13  (C)  9/13  (D)  12/13  (E)  3

Solution

(12)  In a scaled diagram, 1 inch represents 20 feet. How many square inches on the diagram represent 1 square foot ?

(A)  0.0025  (B)  0.04  (C)  0.4  (D)  0.05  (E)  400

Solution

(13)  What is the greatest common factor of 2,240 and 3,360 ?

(A)  105  (B)  280  (C)  1120  (D)  2240  (E)  6720

Solution

(14)  If 50% of 2y is 12, what is y² ?

(A)  36  (B)  6  (C)  16  (D)  144  (E) 256

Solution

(15)  In the figure given below ∢ PRL is 150 degree. What is (a² - b²)/(a - b) ?

(A)  30   (B)  120  (C)  150  (D)  160  (E)  180

Solution

(16)  If y = 3/4 and xy²  =  9/16, what is (x - 4)?

(A)  -3  (B)  -13/4  (C)  -9/16  (D)  -4  (E)  0  

Solution

(17)  If P is an odd integer, which of the following must be an even number ?

(A)  P² - (P/4) / (P²P⁴)   (B)  P - 2P² / (2P + 5)

(C)  P²   (D)  (2p² - 2P³) / 2P  (E)  3P

Solution

(18)  If the diameter of a circle is P, and P²/4  =  2, what is the area of the circle ?

(A)  4π  (B)  8π  (C)  2 π √2  (D)  2 π  (E)  16 π

Solution

(19)  If a regular polygon has (N - 10) sides, where, N = (40/10)², what is the measure of one of its angles?

(A) 120 degree    (B)  160 degree  (C)  240 degree

(D)  340 degree  (E)  720 degree

Solution

(20)

If the perimeter of the triangle shown above is the circumference of a circle, then what is the radius of the circle ?

(A)  12  (B)  9π  (C)  4   (D)  6  (E)  6π

Solution

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