ISEE Middle Level Quantitative : ISEE Middle Level (grades 7-8) Quantitative Reasoning
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All ISEE Middle Level Quantitative Resources
Example Questions
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.
Example Question #18 : How To Find Percentage
What is 5 more than 20% of 20?
The question asks you to find 5 more than 20% of 20. In other words, what is 20% of 20 plus 5.
First, multiply 20 times 20%. To do this, divide 20% by 100:
Multiply your result times 20:
4 is 20% of 20.
Add 5 to this number.
Example Question #61 : Percentage
What percentage of 12 is 3?
We can start to solve by setting up a proportion:
In order to figure out what percentage a smaller makes up of a larger value, divide the smaller number by the larger one. So, divide 3 by 12.
Multiply the result of this operation by 100. The new result will be your percentage.
Example Question #21 : How To Find Percentage
On a farm, there are 12 pigs, 10 cows, and 8 horses. What percent of the animals are pigs?
In order to figure out what percentage a number is of a larger amount, divide the smaller number by the larger one.
Since there are 12 pigs, divide 12 by 30, the total.
When you multiply the decimal by 100, you are left with your percent.
Example Question #941 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Refer to the above figure. The star is divided into triangles of equal area. Which is the greater quantity?
(a) The percent of the figure that is shaded.
(b) 67%
(a) and (b) are equal
(a) is the greater quantity
It is impossible to determine which quantity is the greater from the information given
(b) is the greater quantity
(b) is the greater quantity
The star is divided into twelve triangles of equal measure, eight of which are shaded. This is
This is less than 67%, so (b) is the greater,
Example Question #283 : Numbers And Operations
(a) 25% of one third of
(b) 33% of one fourth of
(b) is the greater quantity
(a) and (b) are equal
(a) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
25% of a number is the same as that number multiplied by 
Similarly, 33% of a number is the same as that number multiplied by 
We can compare these quantities by finding a common denominator. 
and
25% of one third of 
Example Question #942 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Examine the above shapes. Which is the greater quantity?
(a) The percent of the shapes that are squares
(b) 50%
It is impossible to determine which is greater from the information given
(b) is the greater quantity
(a) and (b) are equal
(a) is the greater quantity
(a) and (b) are equal
There are twelve shapes; 50% of them is 
Of the twelve shapes, six are squares - therefore, the percent of the figures that are squares is 50%, and the quantities are equal.
Example Question #285 : Numbers And Operations
(a)
(b)
It is impossible to determine which is greater from the information given
(b) is the greater quantity
(a) and (b) are equal
(a) is the greater quantity
(b) is the greater quantity
Example Question #24 : How To Find Percentage
(a) 33% of
(b) 17% of
(a) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
(b) is the greater quantity
(b) is the greater quantity
33% of a number is the same as multiplying it by its fractional equivalent, 
Similarly, 17% of 
Since 
and
17% of 
Example Question #943 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
(a) 10% of
(b) 8% of
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) and (b) are equal
(a) is the greater quantity
(a) and (b) are equal
10% of a number is equivalent to that number multiplied by 0.10, so
10% of 
8% of a number is equivalent to that number multiplied by 0.08, so
8% of 
The quantities are equal.
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All ISEE Middle Level Quantitative Resources
