PSAT MATH PRACTICE TEST

(1)  If 2000/2x  =  10, then what is √x ?

(A)  √10  (B)  10  (C)  √1000  (D)  100  (E)  1000

Solution

(2)  If x = 9, y = -9 and z = -1, what is the value of yz + √x + yz - √x ?

(A)  -24  (B)  -18  (C)  0  (D)  18  (E)  24

Solution

(3)                        1 dollar  =  0.5 pillets

4 coss  =  1 dollar

Lindsey has $20 to spend. She needs to buy exactly 2 pillets. She spends the remaining amount buying coss. How many coss does Lindsey purchase ?

(A)  4  (B)  5  (C)  64  (D)  72  (E)  76

Solution

(4)  √100 ÷ √25  =  

(A) √2  (B)  2  (C)  4  (D)  10  (E)  1/2

Solution

(5)  If x  =  - 8, what is the value of (1/2) |4x - 4| ?

(A)  -18  (B)  -14  (C)  -8  (D)  14  (D)  14  (E)  18

Solution

(6)

Triangle NPQ is an equilateral triangle. If its perimeter is 27, what is the length of NP + NQ ?

(A)  16  (B)  18  (C)  4  (D)  32  (E)  0

Solution

(7)  If 40% of x is 160, what is x ?

(A)  0.0025  (B)  4  (C)  64  (D)  360  (E)  400

Solution

(8)  When d is divided by 7, the remainder is 5, what is the remainder when d + 1 is divided by 7 ?

(A)  0  (B)  1  (C)  4  (D)  5  (E)  6

Solution

(9)  

In the figure above, O is the center of the square. What is the area of the square ?

(A)  8  (B) 16  (C)  32  (D)  64  (E)  256

Solution

(10)  

If O is the midpoint of PW, then what is the distance of OE ?

(A)  10  (B)  11  (C)  12  (D)  13  (E)  17

Solution

(11)  The average of 7 consecutive even integers is 20. What is the median ?

(A)  18  (B)  20  (C)  20.5  (D)  22  (E)  24

Solution

(12)  What is 0.003815 in scientific notation ?

(A)  3815 x 10^-2  (B)  3.815 x 10^-3  (C)  3.85 x 10

(D)  0.003815 x 10²    (E)  3.815 x 10³

Solution

(13)  

In the figure above, what is the length of AC ?

(A)  8  (B)  12  (C)  2√66  (D)  2√289  (E)  √314

Solution

(14)  What time will it  be 53 hours after 3 : 30 P.M on Thursday ?

(A)  7 : 30 A.M Saturday  (B)  8 : 30 A.M Saturday

(C)  7 : 30 P.M Saturday  (D)  8 : 30 P.M Saturday

(E)  8 : 30 P.M Sunday

Solution

(15)  

If x represents the circumference of the above figure and y represents the area, what is x/y ?

(A)  10 π/25  (B)  5/2  (C)  2/5  (D)  25 π/10  (E)  5π/25

Solution

(16)  A certain substance has a mass of 98 milligrams. What is the mass of his substance in kilograms ?

(A)  9.8 x 10⁵ kg  (B)  9.8 x 10³ kg  (C)  9.8 kg

(D)  9.8 x 10^-3 kg  (E)  9.8 x 10^-5 kg

Solution

(17)  Samuel scored a 72, 92 and 80 on his first three exams. What is the minimum score he needs to get an average of 85 ?

(A)  85  (B)  90  (C)  93  (D)  96  (E)  100

Solution

(18)  Five out of 10 marbles in a bag are red. What percentage of the marbles is not red ?

(A)  50%  (B)  55%  (C)  60%  (D)  75%  (E)  80%

Solution

(19)  

In the figure above, the rectangle ABCD is inscribed in the circle.Where E is the center and the radius is 5. If the length of BD is 6, what is the area of rectangle ABCD ?

(A)  30  (B)  48  (C)  60  (D)  25 π  (E)  180

Solution

(20)  √81 √25 + √16  =  

(A)  5  (B)  40  (C)  49  (D)  56  (E)  64

Solution

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