# PSAT MATH PRACTICE TEST ONLINE FREE

PSAT Math Practice Test Online Free :

Math questions 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 Online Free - Questions

(1)  [(2/3) + (1/4)]  ÷ 2  =

(A)  22/12  (B)  1/12  (C)  11/24  (D)  1/3  (E)  12

Solution

(2)  Michelle bought a dress that costs \$103.00, a pair of shoes that costs \$73.00 and a bag that costs \$111.00. There is a 7% sales tax on all items priced at \$90.00 and higher. There is no sales tax on items under \$90.00. How much did Michelle spend on the following items, including tax ?

(A)  \$287.00  (B)  266.00  (C)  295.47

(D)  300.60  (E)  \$301.98

(3)  How many terms are in the sequence

0, 3, 6,.............57, 60 ?

(A)  20  (B)  21  (C)  23  (D)  30  (E)  60

(4)  The larger of two consecutive even integers is two times the smaller. What is their sum ?

(A)  2  (B)  3  (C)  4  (D)  6  (E)  8

(5)  3x  =  27 a+b and (a2 - b2) / (a-b)  =  5, what is x ?

(A)  6  (B)  9  (C)  12  (D)  15  (E)  27

(6)  In Mr.Farmer's class there are 30 kids. If there are twice as many boys as there are girls in the English club, then what percentage of the English club are boys ?

(A)  33.3%  (B)  10%  (C)  30%  (D)  20%  (E)  66.6%

(7)  a⊗b  =  a3- 3a2b + 3ab2 - b3 and ⊕b  =  (a-b)(a-b), what is (a⊗b) / (a⊕b)

(A)  a2 + b2  (B)  a - b  (C) a2 + 3b2 + 3ab

(D)  a2 - b2  (E)  b2 + 3a

(8)  What is the prime factorization of 752 ?

(A) 2⋅ 48  (B) 2⋅ 49  (C) 3⋅ 49

(D) 2⋅ 47  (E) 3⋅ 47

(9)  If x can be any integer, what is least possible value of the expression 4x2 - 10 ?

(A)  -10  (B)  -4  (C)  4  (D)  10  (E)

(10)  There is a total of 5 bicycles and tricycles in a park. There are 12 wheels.How many tricycles are there ?

(A)  2  (B)  3  (C)  6  (D)  7  (E)  8

(11)  What is the least possible value of (x2 - 1)/x if x ≥ 1 ?

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

(12)  What is the maximum number of points in which a circle and triangle can intersect ?

(A)  3  (B)  5  (C)  6  (D)  8  (E)

(13) What is the area of the shaded region ?

(A)  48 - 10π  (B)  64 - 22π  (C)  10π

(D)  48 - 6π  (E)  16π

Solution

(14)  There are 45 plastic ducks in a bag. If there are black, green, blue and purple plastic ducks and 1/3 of the plastic ducks are black, 1/5 of the plastic ducks are blue, one third of the number of black plastic ducks are green, then how many purple plastic ducks are in the bag ?

(A)  6  (B)  15  (C)  16  (D)  21  (E)  39

(15) In the figure above, point B is on the line segment DC. If AB  =  BC, what is the measure of the angle ABE ?

(A)  20°  (B)  40°  (C)  80°  (D)  90°  (E)  100°

(16) According to the figure given above, what is the value of y ?

(A)  3  (B)  6  (C)  12  (D)  15  (E)  18

Solution

(17)  A painter needs 4 gallons of paint to paint each room. If a house has 8 rooms in total, how many quarts of paint is he going to need ?

(A)  12  (B)  32  (C)  128  (D)  200 (E)  512

(18)  A rectangle is inscribed in a circle. The rectangle is tangent at the points A, B, C and D. If the diagonal of the rectangle is 20 inches long. What is the are of the circle ? (A)  10π  (B)  15π  (C)  20π  (D)  100π  (E)  400π

(19)  The prices in the table given below  show the different types of gas offered at a gas station and the prices of gas per gallon. If Emily has \$50, what is the least amount of gas, in gallons, she can purchase subtracted from the greatest amount of gas, in gallons, she can purchase ? (A)  2  gallons  (B)  3 gallons  (C)  5 gallons

(D)  20 gallons  (E)  25 gallons

(20)  3[9 ÷ (-3)]  + [-3 - (-8)]  =

(A)  -20  (B)  -4  (C)  -2  (D)  2  (E)  14 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 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

use the  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

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Algebra word problems

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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

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Complementary and supplementary angles word problems

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Markup and markdown word problems

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Word problems on fractions

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Pythagorean theorem word problems

Percent of a number word problems

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Word problems on average speed

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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 