**PSAT Math Questions and Answers :**

Here we are going to see a some practice questions for PSAT exams.

**Question 1 :**

Convert 7/20 to decimal form

**Solution :**

In order to find the decimal form of the given fraction, we have to convert the denominator as 10, 100, 1000, etc.

Now we have 20 in the denominator, inorder to convert it as 100, we have to multiply both numerator and denominator by 5.

So, we get

= (7/20) ⋅ (5/5)

= 35/100

= 0.35

Hence the decimal form of 7/20 is 0.35.

**Question 2 :**

The value of 500, 000 + 400 + 5 is

**Solution :**

By adding 400 and 5, we get 405. So we have to change the last three digits of 500, 000.

So, we get 500405

**Question 3 :**

If x = 4 and y = 3, what is (x + y)^{2 }?

**Solution :**

In order to find the value of (x + y)^{2}, first we have to find the value of x + y.

x + y = 4 + 3 = 7

(x + y)^{2 }= 7^{2 }= 49

**Question 4 :**

(√144)(√16)

**Solution :**

√144 = √(12 ⋅ 12) = 12

**√16** = √(4 ⋅ 4) = 4

(√144) (**√16) = 12 **⋅ 4 = 48

Hence the answer is 48

**Question 5 :**

1 knot = 3 vines

2 shings = 4 knots

How many Shings are in 9 Vines ?

**Solution :**

Given that :

1 knot = 3 vines ---(1)

4 knots = 2 shings

1 knot = (1/2) shings ----(2)

(1) = (2)

3 vines = (1/2) shings

By multiplying 3 on both sides, we get

9 vines = (3/2) shings

Hence the answer is 3/2 shings.

**Question 6 :**

What numbers is half way between 2 ⋅ (3/6) and 4 ?

**Solution :**

First let us simplify

2 ⋅ (3/6) = 1

The number between 1 and 4 are 2 and 3.

To find the half way, we have to find the average of 2 and 3.

= (2 + 3)/2 = 2.5

Hence the answer is 2.5

**Question 7 :**

In the figure given below LGQ is a triangle. What is z in terms of y ?

**Solution :**

<PLR + <RLQ = 180

x + 30 = 180

x = 180 - 30 ==> 150

<RGQ = y

x + y + z = 180

150 + y + z = 180

z = 180 - 150 - y

z = 30 - y

Hence the required angle is 30 - y.

**Question 8 :**

-2 + 5 (-18 ÷ 3 + 9) - 13

**Solution :**

By using PEMDAS rule, first we have to simplify the terms inside the parenthesis.

= -2 + 5 (-18 ÷ 3 + 9) - 13

In the parenthesis, we have to perform division.

= -2 + 5(-6 + 9) - 13

= -2 + 5(3) - 13

Then we have to perform multiplication.

= -2 + 15 - 13

= - 15 + 15

= 0

**Question 9 :**

The are of a square is equal to the area of circle, whose diameter is 10. What is the length of a side of the square ?

**Solution :**

Area of square = Area of circle

a^{2} = π r^{2}

Diameter of the circle = 10

radius of circle = 10/2 = 5

a^{2} = π (5)^{2}

a^{2} = 25 π

a = √(25π) ==> a = 5 √π

Hence the side length of square is 5 √π.

**Question 10 :**

4a (3b - 6)

**Solution :**

We have to distribute 4a with the terms inside the parenthesis.

= 4a (3b - 6)

= 12 ab - 24 a

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

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

Widget 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**