PSAT MATH PRACTICE ONLINE

Question 1 :

If 2000/2x  =  10, then what is √x?

(A)  √10  (B)  10  (C)  √1000  (D)  100  (E)  1000

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 ?

(A)  -24  (B)  -18  (C)  0  (D)  18  (E)  24

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 ?

(A)  4  (B)  5  (C)  64  (D)  72  (E)  76

Solution :

1 dollar  =  0.5 pillets ----(1)

2 pillets  =  4 dollar

She is spending 4 dollar to purchase 2 pillets. So, the remaining amount that she has  =  20 - 4  =  16 dollar

For this 16 dollars, she has to buy coss.

Give n that :

1 dollar  =  4 coss

16 dollar  =  4 (16) coss 

16 dollar  =  64 coss 

Hence, she has to purchase 64 coss.

Question 4 :

√100 ÷ √25  =  

(A) √2  (B)  2  (C)  4  (D)  10  (E)  1/2

Solution :

  =  √100 ÷ √25

  =  √(100/25)

  =  √4

  =  2

Question 5 :

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

(A)  -18  (B)  -14  (C)  -8  (D)  14  (D)  14  (E)  18

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 ?

(A)  16  (B)  18  (C)  4  (D)  32  (E)  0

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 ?

(A)  0.0025  (B)  4  (C)  64  (D)  360  (E)  400

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 ?

(A)  0  (B)  1  (C)  4  (D)  5  (E)  6

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 ?

(A)  8  (B) 16  (C)  32  (D)  64  (E)  256

Solution :

Side length of square is 8 units.

Area of square  =  a²

  =  8²

  =  64  square units.

Question 10 :

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

(A)  10  (B)  11  (C)  12  (D)  13  (E)  17

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

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

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

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

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

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6