ISEE Middle Level Quantitative : Numbers and Operations

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

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Example Questions

Example Question #231 : Numbers And Operations

What is 75% of 25% of 48?

Possible Answers:

Correct answer:

Explanation:

The question asks you to find 75% of a smaller part of 48. In order to figure this out, you must first figure out what the value of the smaller part is. To figure out what 25% of 48 is, multiply 48 by 25%. First, divide the percentage by 100.

Then, multiply 48 by the result.

The second part of the question asks you to figure out what 75% of this new number is. Just like before, first divide the percentage by 100.

Then, multiply the result times 12.

The result is the answer.

Example Question #232 : Numbers And Operations

What is 50% more than 15% of 40?

Possible Answers:

Correct answer:

Explanation:

The question asks you to figure out what 50% more than a smaller part of 40 is. To do this, you must first solve what 15% of 40 is. First, divide the percentage by 100.

Then, multiply the result times 40.

You then must figure out what 50% more than this new number is. 50% more is equal to 150% of the original value. Just like before, divide this percentage by 100.

Then, multiply the result times 6.

This result is your answer.

Example Question #231 : Numbers And Operations

What is 20% more than half of 40?

Possible Answers:

Correct answer:

Explanation:

The question asks you to figure out what 20% more than a smaller amount of 40 is. To do this, you must first solve for the smaller amount. So, first divide 40 by 2 since it asks for half of 40.

Since 20% than a number is equal to 120% of the original value of that number, multiply 20 by 120%. To do this, first divide the percentage by 100.

Then, multiply the result times 20.

This result is your answer.

 

Example Question #232 : Numbers And Operations

What is 300% of 12?

Possible Answers:

Correct answer:

Explanation:

To figure out what a percentage of a particular number is, first divide that percentage by 100.

Then, multiply the result times the original number.

This result is your answer.

Example Question #234 : Numbers And Operations

A clothing store discounted a shirt by 25% one week. The following week, they discounted that new price by another 20% What is currently the price of the shirt if it originally cost $20?

Possible Answers:

Correct answer:

Explanation:

If the clothing store discounts an already discounted price, it means that we are trying to find a percentage of an already smaller part of the original number. First, if the original discount was 25%, that means that the shirt was sold for 75% the original price the first week.

So, we must first figure out what the shirt was worth at 75% the original price. To do this, divide the percentage by 100.

Multiply the result times the original price of the shirt.

This is the price of the shirt after the first discount. This new price is then discounted by another 20%. So, the newest price will be 80% of the value of the first discount.

To find out what the price is after this is done, multiply the percentage by the new price. So, first divide the percentage by 100.

Multiply this result by the discounted price.

The result is your answer.

Example Question #233 : Numbers And Operations

Jamal, Sophia, Jake, and Eric went to a restaurant for a special occasion. Their bill totalled $96.22. If they left an 18% tip, how much was the tip?

Possible Answers:

Correct answer:

Explanation:

To figure out what 18% of any number is, first divide the percentage by 100.

Then, multiply this result times the original number.

The result is your answer.

Example Question #234 : Numbers And Operations

Jamal, Sophia, Jake, and Eric went to a restaurant for a special occasion. Their bill totalled $96.22. If they left an 18% tip, how much did they pay in all (tip included)?

Possible Answers:

Correct answer:

Explanation:

To figure out what 18% of any number is, first divide the percentage by 100.

Then, multiply this result times the original number.

The result is the tip. To figure out the total amount paid, add the tip to the original price of the bill.

Example Question #237 : Numbers And Operations

 and  are positive integers; . Which is the greater quantity?

(a)  of 

(b)  of 

Possible Answers:

(a) and (b) are equal

(b) is the greater quantity

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

(a) is the greater quantity

Correct answer:

(a) and (b) are equal

Explanation:

 of  is equal to 

 

 of  is equal to 

 

The two are equal regardless of the value or relation of  and .

Example Question #238 : Numbers And Operations

 and  are positive integers; . Which is the greater quantity?

(a)  of 

(b) 0.5 % of 

Possible Answers:

(a) is the greater quantity

(b) is the greater quantity

(a) and (b) are equal

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

Correct answer:

(b) is the greater quantity

Explanation:

, so 0.5% of a number is the same as  of the number. Therefore, in each choice, we are taking the same percent of a number. Since , 0.5%, or , of  is less than 0.5% of .

Example Question #235 : Numbers And Operations

You are given a bag with 5 red marbles, 3 green marbles and 7 blue marbles. What percent of the bag are red marbles? 

Possible Answers:

Correct answer:

Explanation:

When finding the percent, we must take the part and divide it by the whole. 

In this case, 5 is the part and we must find the sum of everything to make the whole as shown in the denominator below.  

We can now reduce the fraction and convert to percent. 

 

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