PSAT MATH PRACTICE TEST
About "PSAT Math Practice Test"
PSAT Math Practice Test :
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 Test - Practice questions
Question 11 :
If 8575 = 5x ⋅ 7y, what is (xy) - 5 ?
Solution :
First, let us find the prime factors of 8575.
8575 = 52 ⋅ 73
x = 2 and y = 3
xy - 5 = 2(3) - 5
= 6 - 5
= 1
Hence the answer is 1.
Question 12 :
When d is divide by 8, the remainder is 3. What is the remainder when d + 3 is divided by 8 ?
Solution :
Let d = 11
Here we choose 11, because it is greater than 8, when we divide 11 by 8, we get the remainder 3.
Then d + 3 = 11 + 3 = 14
By dividing this d + 3 by 8, we get 6(3 + 3) as remainder.
Hence the answer is 6.
Note : The number chosen should be 3 more than the multiple of 8.
Now let us see the next example on "PSAT Math Practice Test".
Question 13 :
Tommy is making as 6 letter password using only the letters A, B, C, D, E and F. How many different codes can Tommy make, if every letter can only be used once in each code ?
Solution :
Let us mark 6 blank spaces.
____ ____ ____ ____ ____ ____
The first letter chosen be placed in any of the above 6 dashes.
Now, we have remaining 5 letters.
The second letter chosen, out of 5 may be placed in any one of the remaining 5 places.
In this way, we may create 6! codes by using 6 letters.
Hence the answer is 720.
Question 14 :
-5 (x -3) ≥ 20 what is the solution to the inequality shown above ?
Solution :
-5 (x -3) ≥ 20
-5x + 15 ≥ 20
Subtract 15 on both sides, we get
-5x ≥ 20 - 15
-5x ≥ 5
Divide by -5 on both sides, we get
x ≤ -1
Question 15 :
Which numbers line below shows the solution to the inequality -2 < x/3 ≤ 2 ?
Solution :
= -2 < x/3 ≤ 2
Multiply the entire inequality by 3. So we get,
= -6 < x ≤ 6
The fourth option represents the the solution which is greater than -6 and less than or equal to 6.
Question 16 :
There are 15, 000 teens whose favorite genre is comedy. How many teens have a favorite genre of action ?
Solution :
Number of teens have a favorite genre of action
= 30% of 15000
= (0.30) 15000
= 4500
Question 17 :
A computer originally prices at $550.50 is on sale for 20% off. Jamie used a 5% discount coupon which was applied to the sales price. How much did Jamie pay for the computer ?(Assume there is no tax)
Solution :
Original price of computer = $550.50
From the 100% of price, the shop is going to give 20% off. Hence we have to pay 80% of the original price for the computer.
80% of 550.50 = $440.40
Again we have 5% discount, so we have to calculate 95% of discounted price.
0.95 (440.40) = 418.38
Hence the final amount for the computer is 418.38.
Question 18 :
Given the following value 4, 760 solve the following, x2/y, if x represents the smallest prime factor of the given value and y represents the greatest prime factor of the given value.
Solution :
4760 = 2 ⋅ 2 ⋅ 2 ⋅ 5 ⋅ 7 ⋅ 17
Smallest prime factor = 2, largest prime factor = 17
x2/y = 22/17 = 4/17
Hence the answer is 4/17.
Question 19 :
An adult male Diptera has a mass of 11.5 milligrams. What is the Diptera's mass in grams?
Solution :
1000 milli grams = 1 gram
= (11.5/1000) grams
= 0.0115 grams.
Question 20 :
Michel has a project due in exactly 83 hours. It is currently 8 : 30 on Monday morning. What time is his project due ?
Solution :
Every day consists of 24 hours, we have three consecutive days and 11 hours remaining.
Since he starts the project at 8 : 30 on Monday, he has remaining 15.30 hours.
Monday (8:30 A.M) to Tuesday (8 : 30 A.M) ==> 24 hours
Tuesday (8:30 A.M) to Wednesday (8 : 30 A.M) ==> 24 hours
Wednesday (8:30 A.M) to Thursday (8 : 30 A.M) ==> 24 hours
In Thursday morning 8 : 30 to evening 8 : 30, we have 12 hours, but he finish the given work at exactly 7 : 30 P.M
After having gone through the stuff given above, we hope that the students would have understood "PSAT Math Practice Test".
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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
