# PSAT MATH PRACTICE TEST

PSAT Math Practice Test :

Math practice test 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.

## PSAT Math Practice Test - Questions

(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

(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

(4)  √100 ÷ √25  =

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

(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

(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

(7)  If 40% of x is 160, what is x ?

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

(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

(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

(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

(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

(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

(13)

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

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

(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

(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

(16)  A certain sub stance 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

(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

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

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

(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

(20)  √81 √25 + √16  =

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

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

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 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

We hope that the stuff given in this section would have been much useful for the students who are preparing for PSAT exam.

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You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6