PSAT Math : PSAT Mathematics
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Example Questions
Example Question #2 : How To Divide Integers
If x and y are positive integers and 2y = 16x, what is the value of y/x?
4
1/2
1/4
2
4
Making the equation even yields y = 4 and x = 1, since 24 = 16. This makes y/x = 4.
Example Question #2 : How To Divide Integers
If 
1
9
8
5
2
8
For this problem, you need to use process of elimination.
When
The remainder of 
Example Question #1871 : Psat Mathematics
The annual number of cellular phones purchased from a company is illustrated in the following graph. How many more phones were sold in 2009 than 2011?
3,000
6
17
17,000
6,000
6,000
In 2009, 32,000 phones were sold (according the the label on the y-axis, each number is equal to 1,000 phones). In 2011, 26,000 phones were sold.
Example Question #1 : How To Multiply Integers
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
Example Question #1872 : Psat Mathematics
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
Example Question #1 : Basic Operations
What property of arithmetic is demonstrated below?
Distributive
Transitive
Commutative
Symmetric
Associative
Distributive
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
Example Question #2 : How To Multiply Integers
What property of arithmetic is demonstrated here?
Associative
Transitive
Commutative
Symmetric
Associative
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
Example Question #3 : How To Multiply Integers
Multiply in modulo 8:
None of the other responses is correct.
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
Example Question #1 : How To Add Integers
My sister invited me to play an online word game. In the game vowels (a,e,i,o,u) are worth 3 points and consonants are worth 5. How much would I score if I use the word “University” ?
63
30
45
42
42
In the word we have 4 vowels (3 x 4 = 12 points) and 6 consonants (5 x 6= 30). If we add the points together we get a total of 42 points.
Example Question #1 : How To Add Integers
What is the sum of multiples of 10 from 10 to 140 inclusive?
Listing them all, 10-20-30-40-50-60-70-80-90-100-110-120-130-140 you see you can divide the numbers in half (7 pairs). Alternatively you can take (140-10+10)/2/10, adding that additional +10 in the numerator because it is inclusive, giving you 7. Just adding the top and bottom numbers gives you 10+140 for 150. 150*7 is 1050.
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