ISEE Lower Level Quantitative : Operations

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

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Example Questions

Example Question #21 : How To Divide

Francis baked a cake that weighed 16 ounces. He then cut the cake into 4 equal pieces and gave one piece to his mother. His mother ate half of the piece of cake. How many ounces of cake did she eat?

Possible Answers:

Correct answer:

Explanation:

If Francis baked a cake that weighed 16 ounces and then cut the cake into 4 equal pieces, each piece weighed  ounces. 

If Francis's mother ate half of the piece of cake, she ate  ounces.

Example Question #22 : How To Divide

What is the value of ?

Possible Answers:

Correct answer:

Explanation:

In order to solve , the second fraction must be flipped and multiplied by the first fraction. This gives us:

 

The numerators are multiplied by one another, as are the denominators. This results in , which is the correct answer. 

 

Example Question #23 : How To Divide

What is the value of ?

Possible Answers:

Correct answer:

Explanation:

 is equivalent to , which is equal to .

Therefore,  is the correct answer. 

Example Question #24 : How To Divide

What is half the product of r and s?

Possible Answers:

Correct answer:

Explanation:

The product of r and s is eqal to . Therefore, half of the product of rs will be equal to rs divided by 2. This results in:

Example Question #25 : How To Divide

Write .8 as a fraction in its simplest form. 

Possible Answers:

Correct answer:

Explanation:

The decimal .8 is equal to . When the numerator and denominator are divided by 2, the result is , which is the correct answer. 

Example Question #26 : How To Divide

What is 14 divided by 5?

Possible Answers:

Correct answer:

Explanation:

When 14 is divided by 5, the result is 2 with a remainder of 4. This is because 5 times 2 is 10, and 14 minus 10 is 4. 

Therefore, the correct answer is 

Example Question #27 : How To Divide

If 17 divided by x is equal to 3 remainder 2, what is the value of x?

Possible Answers:

Correct answer:

Explanation:

A simple way to solve this problem is to plug in one of the answer choices for x. If 5 is plugged in as x, 17 divided by 5 is 3 with a remainder of 2. This is because 5 times 3 equals 15, and 17 minus 15 is equal to 2. 

Therefore, 5 is the correct answer. 

Example Question #28 : How To Divide

Oliver has a map where 1.5 centimeters represents 2 city blocks. If her house is 7.5 centimeters from the bus stop, what is the distance in city blocks?

Possible Answers:

Correct answer:

Explanation:

One of the ways to solve this problem is to divide 7.5 centimeters by 1.5 centimeters which will tell us how many times we travelled two blocks.

This gives us the answer 5.

This means that Oliver travelled 1.5 centimeters 5 times.

We know that each time he travels 1.5 centimeters, he goes two city blocks, so we can multiply. 

 city blocks.

Example Question #29 : How To Divide

Possible Answers:

Correct answer:

Explanation:

In order to divide fractions, we first take the reciprocal of the second fraction. To find the reciprocal, we switch the numerator and the denominator. So, the reciprocal of    is .

Then we multiply the first fraction and the reciprocal.

We then multiply the numerators together: .

Then we multiply the denominators together: .

We divide the numerator (25) by the denominator (24) to get .

Example Question #30 : How To Divide

When a number is divided by , and the remainder is , which could be the number? 

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to divide our answer choices by , and then see which has a remainder of

Therefore,  is the correct answer for this problem. 

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