**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.

**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 438^{th} symbol ?

**Solution :**

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

To find the symbol at the 438^{th} place, let us divide 438 by 6.

Since 438 is divisible by 6, the symbol at the 6^{th} place is the answer.

Note : The set of symbols ends up with 438^{th} 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 5^{5} + 5^{5} + 5^{5} + 5^{5 }+ 5^{5 }= 5^{a + 1}, what is a ?

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

**Solution :**

5^{5} + 5^{5} + 5^{5} + 5^{5 }+ 5^{5 }= 5^{a + 1}

5 (5^{5}) = 5^{a + 1}

5 ^{1 + 5} = 5^{a + 1}

5 ^{6} = 5^{a + 1}

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

a + 1 = 6

a = 5

**Question 16 :**

If (x + y)^{2} = x^{2} + y^{2}, 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)^{2 }= x^{2} + y^{2} + 2xy

To make the right hand side as x^{2} + y^{2}, 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 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 problems in PSAT.

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

HTML Comment Box is loading comments...

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 **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**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**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**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 **

**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 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**