ISEE Middle Level Quantitative : How to find percentage

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

varsity tutors app store varsity tutors android store

Example Questions

1 3 Next →

Example Question #62 : Percentage

On a farm, there are 12 pigs, 10 cows, and 8 horses. What percent of the animals are pigs?

Possible Answers:

 

Correct answer:

Explanation:

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 #63 : Percentage

Star

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%

Possible Answers:

It is impossible to determine which quantity is the greater from the information given

(a) is the greater quantity

(a) and (b) are equal

(b) is the greater quantity

Correct answer:

(b) is the greater quantity

Explanation:

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 #64 : Percentage

 is a positive number. Which is the greater quantity?

(a) 25% of one third of 

(b) 33% of one fourth of 

Possible Answers:

(a) is the greater quantity

It is impossible to determine which is greater from the information given

(a) and (b) are equal

(b) is the greater quantity

Correct answer:

(a) is the greater quantity

Explanation:

25% of a number is the same as that number multiplied by , so  25% of one third of  is equal to .

Similarly, 33% of a number is the same as that number multiplied by , so 33% of one fourth of  is equal to 

 

We can compare these quantities by finding a common denominator. , so

 

and 

.

25% of one third of  is the greater quantity.

Example Question #65 : Percentage

Assorted 1

Examine the above shapes. Which is the greater quantity?

(a) The percent of the shapes that are squares

(b) 50%

Possible Answers:

(a) is the greater quantity

(b) is the greater quantity

It is impossible to determine which is greater from the information given

(a) and (b) are equal

Correct answer:

(a) and (b) are equal

Explanation:

There are twelve shapes; 50% of them is  shapes.

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 #66 : Percentage

 is equal to one eighth of  and 12% of . All variables stand for nonnegative quantities. Which is the greater quantity?

(a) 

(b) 

Possible Answers:

(a) is the greater quantity

(a) and (b) are equal

(b) is the greater quantity

It is impossible to determine which is greater from the information given

Correct answer:

(b) is the greater quantity

Explanation:

 is equal to one eighth of , so

 

 is equal to 12% of , so

, and

 

, and . , so, for positive , it follows that , and .

Example Question #67 : Percentage

 is a positive number. Which is the greater quantity?

(a) 33% of 

(b) 17% of 

Possible Answers:

(a) is the greater quantity

(a) and (b) are equal

(b) is the greater quantity

It is impossible to determine which is greater from the information given

Correct answer:

(b) is the greater quantity

Explanation:

33% of a number is the same as multiplying it by its fractional equivalent, , so 33% of  is 

Similarly, 17% of  is .

Since  and 

,

and

.

 17% of  is the greater quantity.

Example Question #68 : Percentage

 is a positive number. Which is the greater quantity?

(a) 10% of 

(b) 8% of 

Possible Answers:

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(a) and (b) are equal

(b) is the greater quantity

Correct answer:

(a) and (b) are equal

Explanation:

10% of a number is equivalent to that number multiplied by 0.10, so

10% of  is equal to .

8% of a number is equivalent to that number multiplied by 0.08, so

8% of  is equal to .

The quantities are equal.

Example Question #69 : Percentage

 is  of , which is 10,000 % of .

Which is a true statement?

Possible Answers:

Correct answer:

Explanation:

 is 10,000 % of , so .

 

 is , or , of , so .

Therefore, 

Example Question #70 : Percentage

Scrabble

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)

Possible Answers:

Correct answer:

Explanation:

There are nine "A" tiles, twelve "E" tiles, nine "I" tiles, eight "O" tiles, and four "U" tiles. This is a total of 

 vowel tiles.

12 of the tiles are "E's"; they therefore comprise

.

This rounds to 29%.

Example Question #71 : Percentage

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?

Possible Answers:

Correct answer:

Explanation:

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.

1 3 Next →
Learning Tools by Varsity Tutors