# 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

(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 ⋅ (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

(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

(10) 4a (3b - 6)

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

(D)  12b - 24  (E)  12ab - 24a

(11)  (-39)2/13 =

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

(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

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

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

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

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

(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

(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

(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

(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 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 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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