# PSAT MATH WORD PROBLEMS

PSAT Math Word Problems :

Here we are going to see some practice questions for PSAT exams. For each and every questions, you will have solutions with step by step explanation.

## PSAT Math Word Problems - Practice Problems with Solutions

Question 11 :

The distinct prime factors of 232 are

(A)  2, 2, 2, 29  (B)  116, 2  (C)  2, 29

(D)  2, 2, 58  (E)  2, 58

Solution : Hence the distinct prime factors are 2 and 29.

Question 12 :

If the pattern continues, what will be the 438th symbol ? Solution :

By grouping the symbols, every group consists of 6 different symbols.

To find the symbol at the 438th place, let us divide 438 by 6. Since 438 is divisible by 6, the symbol at the 6th place is the answer.

Note : The set of symbols ends up with 438th position.

Question 13 :

Find the value of t.

t/32  =  x/p

(A)  32p/x (B)  xp/32  (C)  32/px  (D)  32x/p  (E)  32px

Solution :

t/32  =  x/p

Multiply by 32 on both sides, we get

t  =  32x/p

Question 14 :

What is the largest integer greater than 52/3 ?

(A)  16   (B)  17  (C)  18  (D)  19  (E)  20

Solution :

By dividing 52/3, we get 17.33333

The largest integer greater than 52/3 is 18.

Question 15 :

If 55 + 55 + 55 + 5+ 55  =  5a + 1, what is a ?

(A)  3  (B)  4  (C)  5  (D)  6  (E)  7

Solution :

55 + 55 + 55 + 5+ 55  =  5a + 1

5 (55) =  5a + 1

5 1 + 5  =  5a + 1

6  =  5a + 1

Since the bases are equal, the power are also equal.

a + 1  =  6

a  =  5

Question 16 :

If (x + y)2  =  x2 + y2, then what condition must be true ?

(A)  x  =  y  =  0  (B)  x + y  =  0  (C)  2x  =  0

(D)  2y  =  0  (E)  xy  =  0

Solution :

Formula for (x + y)=  x2 + y2 + 2xy

To make the right hand side as x2 + y2, we have to apply xy = 0.

Question 17 :

What is the maximum number of points that two distinct circles intersect at ?.

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

Solution : Two circles will intersect maximum at 2 points.

Question 18 :

A cumulative product of a set {a, b, c, ............} is the sequence a, ab, abc,.............. What is the mean of the terms in cumulative product of {1, 2, 3, 0} ?

(A)  0  (B)  2  (C)  2.25  (D)  3.5  (E)  6

Solution :

The sequence formed by the cumulative product

1, 2, 6, 0.

The mean of the sequence  =  (1 + 2 + 6 + 0)/4

=  9/4

=  2.25

Question 19 :

How many integers are in the set of non positive, non negative  integers?

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

Solution :

The only non negative and non positive integer is 0. Hence the answer is 1.

Question 20 :

How many chords are in the circle below ? (A)  0  (B)  1  (C)  2  (D)  3  (E)  7

Solution :

The chord must touch the circle at two points. The only segment that does this is the diameter.

Hence there is only one chord, that is diameter. 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

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

Apart from the stuff given above, if you want to know more about , please use our google custom search ere.

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 