PSAT Math : PSAT Mathematics
Study concepts, example questions & explanations for PSAT Math
All PSAT Math Resources
Example Questions
Example Question #6 : How To Simplify A Fraction
Simplify:
None of the other answers
With this problem the first thing to do is cancel out variables. The x2 can all be divided by each other because they are present in each system. The equation will now look like this:
Now we can see that the equation can all be divided by y, leaving the answer to be:
Example Question #7 : How To Simplify A Fraction
Simplify the given fraction:
120 goes into 6000 evenly 50 times, so we get 1/50 as our simplified fraction.
Example Question #274 : Algebra
Simplify the given fraction:
125 goes into 2000 evenly 16 times. 1/16 is the fraction in its simplest form.
Example Question #271 : Gre Quantitative Reasoning
Simplify the following expression:
Following this equation, you divide 4 by 8 to get 1/2. When a variable is raised to an exponent, and you are dividing, you subtract the exponents, so 6 – 3 = 3.
Example Question #12 : How To Simplify A Fraction
Reduce the fraction:
The numerator and denominator are both divisible by 12. Thus, we divide both by 12 to get our final answer.
If we instead divide by another common factor, we may need to complete the process again to make sure that we have completely reduced the fraction.
In mathematical words we get the following:
Example Question #1311 : Psat Mathematics
If (t-5)/2t =13/19, what is the value of t?
80/19
95/7
(-65)/25
(-95)/7
(-95)/7
We start by cross multiplying to get the equation 26t=19t-95. We then subtract 19t from 26t giving us 7t= -95. We then divide by 7, giving us t= (-95)/7.
Example Question #1312 : Psat Mathematics
If x/3 = 50, then what is x/10 equal to?
1500
5
50
150
15
15
1. Solve for x in x/3 = 50
2. x = 150
3.Substitute 150 for x in x/10
4. x = 15
Example Question #1313 : Psat Mathematics
There are m number of people on a deserted island. They drink n liters of water a day. There are x number of 10 liter bottles on the island. On what day will they run out of water?
n/10xm
10x/mn
m/10xn
10/nxm
10mn/x
10x/mn
There are only x * 10 liters of water on the island. n * m equals how many liters are consumed per day. Divide x * 10 liters by n * m. Note the units (days) are correct in the answer.
Example Question #1314 : Psat Mathematics
The maximum number of sweaters that Lauren can sew every day is equal to s, and the amount, in cents, that she charges for each sweater is equal to c. Which of the following expressions is equivalent to the maximum amount of money that Lauren can make, in dollars, after three weeks?
3c/(100s)
21sc/100
2100sc
300c/s
2100s/c
21sc/100
The amount of money that Lauren can make depends on the number of sweaters that she can make. If she makes at most s sweaters a day, then we can multiply the number of days that she works by s to determine the total number of sweaters she makes.
total number of sweaters = (s)(number of days)
We are told to consider a time interval of three weeks. Because there are seven days in one week, the number of days over this period of time would equal 3(7), or 21 days. In other words, there are 21 days in three weeks Thus, the number of sweaters is equal to the product of s and 21.
total number of sweaters = (s)(21)
Now that we have the number of sweaters Lauren can make, we can multiply this by the cost of each sweater, which is equal to c cents, in order to obtain the amount of money she eared.
amount of money earned = (number of sweaters)(cost of each sweater)
amount of money earned = s(21)(c)
However, because the price of each sweater is given in terms of cents, the amount of money s(21)(c) will be equal to the number of cents she makes. The question, though, asks us to find the amount of money in dollars. We must use a conversion factor to change the number of cents to dollars. Remember that there are 100 cents per dollar.
Example Question #1315 : Psat Mathematics
If 
To find 40 percent of 
The result is 
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