All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #3 : How To Find Percentage
is a positive integer. Which is the greater quantity?
(A) 25% of
(B) 50% of
(B) is greater
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(A) is greater
It is impossible to determine which is greater from the information given
The greater of the two can be shown to depend on the value of .
Example 1:
Then 25% of is equal to
and 50% of is equal to
This makes (A) greater.
Example 2:
Then 25% of is equal to
and 50% of is equal to
This makes (B) greater.
Therefore, insufficient information is given in the problem to determine which is the greater.
Example Question #45 : Percentage
is a positive number. Which is greater?
(A) 60% of 40% of
(B) 50% of 50% of
It is impossible to determine which is greater from the information given
(B) is greater
(A) and (B) are equal
(A) is greater
(B) is greater
40% of is equal to ; 60% of that is
50% of is equal to ; 50% of that is
Since is positive and ,
,
and (B) is greater.
Example Question #931 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
What is 0.5% of 1,000,000?
Convert the percentage to a decimal:
Multiply by 1,000,000 to get our answer.
Example Question #932 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
What is 200% of 1,000?
Convert the percentage to a decimal.
Multiply 1,000 by the decimal value to find the answer.
Example Question #12 : How To Find Percentage
is positive.
Which is the greater quantity?
(A) Three multiplied by 75% of
(B) Six multiplied by 35% of
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(A) is greater
(B) is greater
(A) is greater
75% of is ; three multiplied by this is
.
35% of is ; six multiplied by this is
.
Since and is positive, , so (A) is greater regardless of the value of .
Example Question #933 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
What is the percent change from 20 to 25?
20 percent increase
20 percent decrease
25 percent increase
25 percent decrease
25 percent increase
Given that the change between 20 and 25 is an increase in 5 from the base of 20, the first step is to calculate the fractional increase.
Given that , there is a 25 percent increase. Thus, "25 percent increase" is the correct answer.
Example Question #934 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
What is the percent change from 60 to 54?
10 percent increase
10 percent decrease
11 percent decrease
10 percent decrease
10 percent decrease
The change from 60 to 54 is a decrease in 6 from the base of 60.
Given that , there is a 10 percent decrease. Thus, "10 percent decrease" is the correct answer.
Example Question #935 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
If 6 out of 8 dogs at a pound get adopted, what percentage of the dogs will get adopted?
If 6 out of 8 dogs get adopted, that means that are adopted.
.
of 100 is 75. Therefore, 75 percent of the dogs were adopted.
Example Question #16 : How To Find Percentage
There is a total of 50 houses in a neighborhood. 20 of the houses have red roofs and 15 of the houses have black roofs. The rest of the houses have green roofs. What percentage of the houses have green roofs?
If there are a total of 50 houses and the total of red and black roofed houses is 35, there must be 15 green houses in this neighborhood.
To figure out what percentage a number makes up of any larger amount, divide the part by the whole. Since there are 15 green roofed houses, you should divide 15 by 50.
When you multiply the decimal by 100, your result will be the percentage the smaller number makes up of the larger amount.
Therefore, the answer is 30%
Example Question #15 : How To Find Percentage
There is a total of 50 houses in a neighborhood. 20 of the houses have red roofs and 15 of the houses have black roofs. The rest of the houses have green roofs. What percentage of the houses have black roofs?
To figure out what percentage a number makes up of any larger amount, divide the part by the whole. Since there are 15 black roofed houses, you should divide 15 by 50.
When you multiply the decimal by 100, your result will be the percentage the smaller number makes up of the larger amount.
Therefore, the answer is 30%
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