ISEE Middle Level Quantitative : How to find percentage
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All ISEE Middle Level Quantitative Resources
Example Questions
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 #21 : How To Find Percentage
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
It is impossible to determine which quantity is the greater from the information given
(a) is the greater quantity
(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 #282 : Numbers And Operations
Examine the above shapes. Which is the greater quantity?
(a) The percent of the shapes that are squares
(b) 50%
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(a) and (b) are equal
(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 #22 : How To Find Percentage
(a) 10% of
(b) 8% of
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(a) and (b) are equal
(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.
Example Question #26 : How To Find Percentage
Which is a true statement?
Therefore,
Example Question #291 : Numbers And Operations
A popular word game uses one hundred tiles, each of which is marked with a letter or a blank. The distribution of the tiles is shown above, with each letter paired with the number of tiles marked with that letter. Notice that there are two blank tiles.
To the nearest whole percent, what percent of the vowel tiles are "E's"?
(Note: for this problem, "Y" is considered a consonant)
There are nine "A" tiles, twelve "E" tiles, nine "I" tiles, eight "O" tiles, and four "U" tiles. This is a total of
12 of the tiles are "E's"; they therefore comprise
This rounds to 29%.
Example Question #292 : Numbers And Operations
The Ace of Spades and the King of Spades are both removed from a standard deck of 52 playing cards. What percent of the remaining cards are spades?
13 of the 52 cards in a standard deck are spades. If two spades are removed, then there will remain 11 spades out of 50 cards, or
of the remaining cards.
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All ISEE Middle Level Quantitative Resources
