PSAT Math : PSAT Mathematics
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Example Questions
Example Question #81 : Proportion / Ratio / Rate
Six is to thirteen-and-a-half as seventeen is to what?
None of the other answers are correct.
Let us express this as an algebraic expression:
We can cross multiply:
Example Question #1632 : Psat Mathematics
Out of 85 students in a certain class, 42 own a laptop and 54 own an mp3 player. If 5 students don't own either, what fraction of the students own both a laptop and an mp3 player?
19/80
7/40
1/8
16/85
1/10
16/85
Once you subtract the 5 students that don't own either, there are 80 students left.
There's 96 total students when you add the number that own an mp3 and the number that own a laptop, meaning 16 own both.
Recall that the fraction will be number of students who have both laptop and mp3 divided by the total students in the class.
Example Question #72 : Fractions
express 7/8 as a ratio
7:8
0.875
not possible to express as a ratio
1.15
8:7
7:8
a ratio that comes from a fraction is the numerator: denominator
7/8 = 7:8
Example Question #71 : Fractions
1 meter contains 100 centimeters.
Find the ratio of 1 meter and 40 centimeters to 1 meter:
7:5
12:5
2:3
9:6
3:2
7:5
1m 40cm = 140cm. 1m = 100cm. So the ratio is 140cm:100cm. This can be put as a fraction 140/100 and then reduced to 14/10 and further to 7/5. This, in turn, can be rewritten as a ratio as 7:5.
Example Question #72 : Fractions
When television remotes are shipped from a certain factory, 1 out of every 200 is defective. What is the ratio of defective to nondefective remotes?
199:1
200:1
1:199
1:200
1:199
One remote is defective for every 199 non-defective remotes.
Example Question #1 : How To Express A Fraction As A Ratio
On a desk, there are 
Begin by making your life easier: presume that there are 
By cross-multiplying you get:
Solving for 
(Many students will likely see this fact without doing the algebra, however. The numbers are rather simple.)
Now, this means that our desk has on it:
Therefore, you have 
Example Question #31 : Fractions
In a classroom of 
To begin, you need to calculate how many students are taking Old Norse. This is:
Now, the ratio of students taking Old Norse to students taking Greek is the same thing as the fraction of students taking Old Norse to students taking Greek, or:
Next, just reduce this fraction to its lowest terms by dividing the numerator and denominator by their common factor of 
This is the same as 
Example Question #81 : Fractions
In a garden, there are 
To begin, you need to do a simple addition to find the total number of flowers in the garden:
Now, the ratio of petunias to the total number of flowers in the garden can be represented by a simple division of the number of petunias by 
Next, reduce the fraction by dividing out the common 
This is the same as 
Example Question #1631 : Psat Mathematics
Simplify:
Simplify the numerator and the denominator, then divide, as follows:
Example Question #2 : Complex Fractions
Evaluate:
Simplify the numerator and the denominator, then divide, as follows:
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