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
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
PSAT MATH ONLINE WORKSHEETS
PSAT online practice test math - Paper 1
PSAT online practice test math - Paper 2
PSAT online practice test math - Paper 3
PSAT online practice test math - Paper 4
PSAT online practice test math - Paper 5
PSAT online practice test math - Paper 6
PSAT online practice test math - Paper 7
PSAT online practice test math - Paper 8
PSAT online practice test math - Paper 9
PSAT online practice test math - Paper 10
PSAT online practice test math - Paper 11
After having gone through the stuff given above, we hope that the students would have understood, how to solve PSAT math problems.
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
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
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