PSAT MATH QUESTIONS

Question 1 :

If x*  =  7/x, what is the value of 14 (14*) ?

Solution :

Given : x*  =  7/x. 

Then, we have

14(14*)  =  14(7/14)

  14(14*)  =  14(1/2)

14(14*)  =  7

Hence, the answer is 7.

Question 2 :

What is the least common multiple of 4, 16, 25, and 30 ?

Solution :

least common multiple  =  2 ⋅ 2 ⋅ 5 ⋅ 4 ⋅ 5 ⋅ 3

  =  1200

Question 3 :

How many positive integers are between -7/3 and 5/2 ?

Solution :

The decimal form of -7/3  =  -2.33

Decimal form of 5/2  =  2.5

Between -7/3 and 5/2, we have 

-2, -1, 0, 1, 2

Integers are 1 and 2.

Hence there are 2 positive integers between -7/3 and 2/5.

Question 4 :

The perimeter of the rectangle is 80 inches. If the width is 18 inches, what is the area of the rectangle ?

Solution :

Perimeter of rectangle  =  80 inches

2 (l + w)  =  80

l + w  =  40

width  =  18 inches

l + 18  =  40

l  =  40 - 18  =  22 inches

Area of the rectangle is 

=  l ⋅ w

=  22 ⋅ 18

=  396 square inches.

Question 5 :

7|-x - 3|  =  b, if x = -3, what is b ?

Solution :

7|-x - 3|  =  b

Substitute -3 for x. 

7|-(-3) - 3|  =  b

7|3 - 3|  =  b

7|0|  =  b

0  =  b

So, the value of b is 0.

Question 6 :

1 + 2 + 3 + 4 + 5 + ............. + 100  =  

Solution :

To find the sum of first n natural numbers, we have a formula

Sn  =  n(n + 1)/2

S100  =  100(100 + 1)/2

  =  50 (101)

=  5050

Hence the answer is 5050.

Question 7 :

After a 10% increase, a population was 55. What was the population before the increase ?

Solution :

Let "x" be the population before the increase.

x + 10% of x  =  55

x + 10x/100  =  55

 x + x/10  =  55

(10x + x) /10  =  55

11x/10  =  55

x  =  55 (10/11)

x  =  50

Question 8 :

The length of a rectangular solid is 10. The width, w and the height h follow the relationship, w3h =  27. What is the volume of the rectangular solid ?

Solution :

w3h =  27

(wh)3  =  27

(wh)3  =  3==> wh  =  3

Length of rectangular solid  =  10

Volume of rectangular solid  =  lwh

=  10 (3)

=  30

Question 9 :

AC has a length of 10 and r, the radius is 7. What is x ?

Solution :

OA  =  r (radius)

OC  =  x (radius)

Hence the value of x is 7.

Question 10 :

Find the value of x in the diagram shown above.  

Solution :

In a right triangle, the square of hypotenuse side is equal to the sum of squares of other two sides.

(12√3) =  x2 + 10

144(3)  =  x2 + 100

x2  =  432 - 100  =  332

x  =  332

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Solo Build It!

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Law of Cosines Worksheet

    Aug 06, 22 11:56 PM

    Law of Cosines Worksheet

    Read More

  2. Laws of Cosines

    Aug 06, 22 11:31 PM

    Laws of Cosines - Proof - Solved Problems

    Read More

  3. Perpendiculars and Bisectors Worksheet

    Aug 06, 22 09:01 AM

    Perpendiculars and Bisectors Worksheet

    Read More