PSAT ONLINE PRACTICE TEST MATH
About "PSAT Online Practice Test Math"
PSAT Online Practice Test Math :
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.
Each question paper will contain set of 20 questions.
PSAT Online Practice Test Math
PSAT Online Practice Test Math - Practice questions
Question 1 :
The perimeter of a square is four times the circumference of a circle with radius of 1 m. What is the area of the square ?
Solution :
Perimeter of square = 4 Circumference of circle
Radius of circle = 1 m
4a = 4(2π r)
4a = 8π (1)
a = 8π/4 ==> 2π
Area of square = a2
= (2π)2
= 4π2
Question 2 :
Solution :
Since the given shapes are similar, we may equate the corresponding angles.
<a = 4, <b = 5, <c = 7 and <d = 8
bc + ad = 5(7) + 4(8)
= 35 + 32
= 67
Question 3 :
Convert 3/40 to a decimal.
Solution :
To present the given fraction in decimal form, we have to convert the denominator as 10, 100 or 1000 etc.
By multiplying 40 by 25, we get 1000.
= (3/40) ⋅ (25/25)
= 75/1000
= 0.075
Question 4 :
For what value of q is 6(q + 3) = 2(q + 4) ?
Solution :
6(q + 3) = 2(q + 4)
6q + 18 = 2q + 8
6q - 2q = 8 - 18
4q = -10
q = -10/4
q = -5/2
Question 5 :
What is angle x of the circle O?
Solution :
OA = OB = r
OA = OB (Equal sides makes an equal angle)
The sum of the angles in a triangle.
x + x + 30 = 180
2x + 30 = 180
2x = 180 - 30
2x = 150
x = 150/2 = 75
Question 6 :
For how many values of x is -3x2/4 > 0
Solution :
For all positive and negative values of x, x2 will be come positive, but in front we have negative sign. So, we get negative values for all positive and negative values of x.
Hence the answer is 0.
Question 7 :
x is 40% of y and y is the square of x, which is x?
Solution :
x = 40% of y ----(1)
y = x2 -----(2)
Applying the value of y in (1), we get
x = 40% of x2
x = 0.4x2
Hence the answer is 0.4x2.
Question 8 :
If x = 7 and 4x (3y - 2x) = 112, what is the value of y?
Solution :
By applying x = 7, we get
4x (3y - 2x) = 112
4(7) (3y - 2(7)) = 112
28 (3y - 14) = 112
3y - 14 = 112/28
3y - 14 = 4
3y = 4 + 14 = 18
y = 18/3 = 6
Question 9 :
If x ⟩ y = (x + y)/(x-y), what is a⟩(a-b) ?
Solution :
Given that :
x ⟩ y = (x + y)/(x-y)
We need to find, a ⟩ (a-b). Here instead of "x" we have "a" and instead of y, we have (a-b)
a ⟩ (a-b) = (a + a - b)/(a - (a-b))
= (2a - b)/(a - a + b)
= (2a - b)/b
Question 10 :
What is the value of √25 + √64?
Solution :
√25 + √64 = √(5 ⋅ 5) + √(8 ⋅ 8)
= 5 + 8
= 13
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WORD PROBLEMS
HCF and LCM 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
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
