# PSAT MATH QUESTIONS AND ANSWERS

PSAT Math Questions and Answers :

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

## Sample Questions on PSAT Math - Practice questions

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)=  7=  49

Question 4 :

(√144)(√16)

Solution :

√144  =  √(12 ⋅ 12)  =  12

√16  =  √(4 ⋅ 4)  =  4

(√144) (√16)  =  12 ⋅ 4  =   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

⋅ (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

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

a2  =  π r2

Diameter of the circle  =  10

radius of circle  =  10/2  =  5

a2  =  π (5)2

a2  =  25 π

a  =  √(25π)  ==>  a  =  5 π

Hence the side length of square is 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.

You can also visit our following web pages on different stuff in math.

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