ISEE Middle Level Quantitative : Numbers and Operations
Study concepts, example questions & explanations for ISEE Middle Level Quantitative
All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #45 : Percentage
(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 
50% of 
Since 
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
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 
35% of 
Since 
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 
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 
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 
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%
Example Question #1 : Finding Part, Percent, And Whole
A school board plans to renovate one of its schools in order to make room for more people. After the renovation, the school's maximum capacity will increase by 20%. If the school's current maximum capacity is 1020 people, what will its maximum capacity be after the renovation?
A 20% increase is equal to 120% of the original value. To figure out how much more space the building will have if expanded 20%, you must multiply the existing maximum capacity (1020) by 120%. To do this, first divide 120 by 100.
Then, multiply the result times the existing maximum capacity.
The result is your answer.
All ISEE Middle Level Quantitative Resources
