PSAT MATH PRACTICE ONLINE

About "PSAT Math Practice Online"

PSAT Math Practice Online :

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

PSAT Math Practice Online

PSAT Math Practice Online - Practice questions

Question 1 :

If 2000/2x  =  10, then what is √x?

Solution :

2000/2x  =  10

1000/x  =  10

x  =  1000/10  

 x  =  100 

Taking square roots on both sides, we get

√x  =  √100

√x  =  10

Question 2 :

If x = 9, y = -9 and z = -1, what is the value of yz + √x + yz - √x ?

Solution :

First let us simplify

  yz + √x + yz - √x 

=  2yz

By applying the value of y and z, we get

  =  2(-9) (-1)

  =  18

Question 3 :

1 dollar  =  0.5 pillets

4 coss  =  1 dollar

Lindsey has $20 to spend. She needs to buy exactly 2 pillets. She spends the remaining amount buying coss. How many coss does Lindsey purchase ?

Solution :

1 dollar  =  0.5 pillets ----(1)

Lindsey wants to buy 2 pillets, 

0.5/2  =  4

Multiplying (1) by 4, we get

4 dollar  =  2 pillets

So, she spends 4 dollar to purchase 2 pillets. The remaining amount that she has  =  20 - 4  =  16

Cost of 4 coss  =  1 dollar 

Number of coss purchased for 16 dollars 

  =  16(4)

  =  64 coss

Question 4 :

√100 ÷ √25  =  

Solution :

  =  √100 ÷ √25

  =  √(100/25)

  =  √4

  =  2

Question 5 :

If x = -8, what is the value of (1/2) |4x - 4|?

Solution :

  =  (1/2) |4x - 4|

Applying the value of x in the expression, we get

  =  (1/2) |4(-8) - 4|

  =  (1/2) |-32-4|

  =  (1/2) (36)

  =  18

Hence the answer is 18.

Question 6 :

Triangle NPQ is an equilateral triangle. If its perimeter is 27, what is the length of NP + NQ ?

Solution :

To find the perimeter of the triangle, we have to find the sum of all the sides.

NP + NQ + PQ  =  27

x + x + x  =  27

3x  =  27

x  =  27/3  =  9

NP + PQ  =  9 + 9  =  18

Question 7 : 

If 40% of x is 160, what is x ?

Solution :

40% of x  =  160

(40/100) ⋅ x  =  160

x  =  160 (100/40)

x  =  400

Question 8 :

When d is divided by 7, the remainder is 5, what is the remainder when d + 1 is divided by 7 ?

Solution :

Let d = 12

Here we choose 12, because it is greater than 7, when we divide 12 by 7, we get the remainder 5.

Then d + 1  =  12 + 1  =  13

By dividing this d + 1 by 7, we get 6(5 + 1) as remainder.

Hence the answer is 6.

Note : The number chosen should be 5 more than the multiple of 7.

Question 9 :

In the figure above, O is the center of the square. What is the area of the square ?

Solution :

Side length of square is 4 units.

Area of square  =  a²

  =  4²

  =  16  square units.

Question 10 :

If O is the midpoint of PW, then what is the distance of OE?

Solution :

P(-13, 0)  W(-3, 0)   

O is the midpoint of PW

  =  (x₁ + x₂)/2, (y₁ + y₂)/2

  =  (-13-3)/2, (0+0)/2

  =  O (-8, 0)

E (3, 0)

OE  =  √(x₂ - x₁)² + (y₂ - y₁)²

OE  =  √(-8-3)² + (0-0)²

OE  =  √(-11)²

   =  11

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