# PSAT ONLINE MATH PRACTICE TEST

PSAT Online Math Practice Test :

Online 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 Online Math Practice Test - Questions

(1)  If x*  =  7/x, what is the value of 14 (14*)?

(A)  0.25  (B)  0.50  (C)  7  (D)  14  (E)  196

Solution

(2)  What is the least common multiple of 4, 16, 25, and 30 ?

(A)  30  (B)  160  (C)  240  (D)  480  (E) 1200

Solution

(3)  How many positive integers are between -7/3 and 5/2 ?

(A)  0  (B)  1  (C)  2  (D)  3  (E)  4

Solution

(4)  The perimeter of the rectangle is 80 inches. If the width is 18 inches, what is the area of the rectangle ?

(A)  22 sq.in  (B)  80 sq.in  (C)  324 sq.in

(D)  396 sq.in  (E)  6400 sq.in

Solution

(5)  7|-x - 3|  =  b, if x = -3, what is b ?

(A)  24  (B)  40  (C)  42  (D)  26  (E)  0

Solution

(6)  1 + 2 + 3 + 4 + 5 + ............. + 100  =

(A)  1010  (B)  5050  (C)  101  (D)  5000  (E)  1000

(7)  After a 10% increase, a population was 55. What was the population before the increase ?

(A)  44  (B)  50  (C)  40  (D)  45  (E)  51

(8)  The length of a rectangular solid is 10. The width, w and the height h follow the relationship, w3h =  27. What is the volume of the rectangular solid ?

(A)  270  (B)  30  (C)  90  (D)  60  (E)  33

Solution

(9) AC has a length of 10 and r, the radius is 7. What is x ?

(A)  5  (B)  7  (C)  7√2  (D)  10  (E)  17

(10)  Find the value of x in the diagram shown below. (A)  2√5  (B)  √83  (C)  2√83  (D)  2√332  (E)  332

(11)  If A  =  3r2h2 and (rh) increases by 100%, then the new A is what times of the old A ?

(A)  2  (B) 3  (C)  4  (D)  5  (E)  12

Solution

(12)  If xa  =  q√xp, what is p2/q2 ?

(A)  √a    (B)  a1/3    (C)  a2    (D)  a    (E)  a3

(13)  Set A  =  {1, 2, 3, a} set B  =  {2, 4, 5, a2, b} what is AnB ?

(A)  {2, a}  (B)  {2, a2, b}  (C) {2, b/a}  (D)  {2}  (E)  {2,a/b}

(14)  2√75 - (√25) (√3)

(A)  5√3  (B)  10√5  (C)  √70 (E)  2 √5  (E)  5

(15)  Express 0.0345/10 in scientific notation.

(A)  3.45 x 10-2  (B)  0.345 x 10-2 (C)  3.45 x 10-3

(D)  0.345 x 10-3  (E)  0.00345 x 10

Solution

(16)  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

(17)  y = x3

The only possible values of x are those in the set {-1/3, 1/2, 1/3} what is the maximum value of y ?

(A)  1/27  (B)  -1/127  (C)  1/4  (D)  1/8  (E)  1/6

(18)  What is (x3y2z4)/(z3y3) equal to ?

(A)  x3yz  (B)  x3/3  (C)  x3yz2  (D)  x3z/y  (E)  x3y/z

(19)  What is the length of RL ? (A)  3  (B)  6  (C)  5  (D)  4  (E)  7

(20) In a triangle, the first angle is two times the second angle and the second angle is three times the third angle. Find the measure of the third angle.

(A)  10°  (B)  15°  (C)  18°  (D)  25°  (E)  90° 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

After having gone through the stuff given above, we hope that the students would have understood, how to solve math questions in PSAT.

Apart from the stuff given in this section, please use our google custom search here.

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 