ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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Example Questions

Example Question #6 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

240 is 30% of what number?

Possible Answers:

Correct answer:

Explanation:

Set up the proportion statement and solve for :

Cross-multiply:

Example Question #7 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

420 is 150% of what number?

Possible Answers:

Correct answer:

Explanation:

Set up the proportion statement and solve for  by cross-multiplying:

Example Question #1 : How To Find The Whole From The Part With Percentage

70 is  of what number?

Possible Answers:

Correct answer:

Explanation:

Set up the proportion statement and solve for  by cross-multiplying:

Example Question #2 : How To Find The Whole From The Part With Percentage

24 is 25% of what number?

Possible Answers:

Correct answer:

Explanation:

Think is of .

 

So:

 

and .

 

We have:

 

 

Example Question #82 : Hspt Mathematics

Julie bought some groceries at the store where she works for $196.57. She got an employee discount of 15%. How much would the same groceries cost a non-employee?

Possible Answers:

Correct answer:

Explanation:

Paying at a 15% discount is equvalent to paying 85% of the original price, so $196.57 is 85% of the original (non-employee) price, or, equivalently, 0.85 times that price. If  is that price, then we can set up and solve the equation:

A non-employee would pay $231.26 for the groceries.

Example Question #21 : How To Work With Percentages

Becky ate  of a batch of cupcakes. She ate  cupcakes. How many cupcakes were there in total?

Possible Answers:

Correct answer:

Explanation:

This can be solved using a proportion:

Cross multiply and solve for :

Example Question #23 : How To Work With Percentages

For her birthday, Susan asks her mother to buy her a car. Susan’s mother agrees to give Susan 150 percent of whatever amount Susan can save up in six months. If Susan saves , how much does Susan’s mother owe her?

Possible Answers:

$900

 

 

 

 

$300

$700

$550

$750

Correct answer:

$900

 

 

 

 

Explanation:

When Susan's mother agreed to match her savings plus fifty percent, she agreed to give Susan % plus %.  

Before multiplying by the amount Susan saved, we must convert % to a decimal by dividing by .

Now we multiply time $.

Susan's mother owes her $.

Example Question #24 : How To Work With Percentages

If sales tax on a pair of jeans is , and the jeans cost  before tax, what is the final price of the jeans including tax?

Possible Answers:

$56

$58

$60

$66

$62

Correct answer:

$58

Explanation:

Since the jeans are the only item being purchased, and they cost $, we must first find % of $.  In order to do that we multiply $ by the decimal form of %, which is .

Note: In order to find the decimal form of a percent, we divide it by .  

Find the tax:

 

Therefore the sales tax added to the original price is $

The final cost of the jeans is $.

 

Example Question #851 : Numbers And Operations

At a pet store, there are 12 dogs and 8 cats. The following week, the number of dogs increases by 25%, while the number of cats decreases by 25%. What is the total number of animals at the store the following week?

Assume the store only sells dogs and cats.

Possible Answers:

Correct answer:

Explanation:

If the population of dogs increases by 25%, then we first find 25% of 12 (which is 3) and add the 3 to 12. This gives us 15 dogs.

If the population of cats decreases by 25%, then we find 25% of 8 (which is 2), and subtract if from 8. This gives us 6. 

Now that we know the final individual numbers of dogs and cats, we can add them to find the final answer.

Example Question #852 : Numbers And Operations

Tom the baker made  blueberry muffins on Tuesday, and Stan the baker made and  muffins that day. On Wednesday, each baker decided to increase his production of blueberry muffins by . What is the average of blueberry muffins that Tom and Stan baked on Wednesday?

Possible Answers:

Correct answer:

Explanation:

Tom made  blueberry muffins on Tuesday, and Stan made and  muffins that day. On Wednesday, each baker decided to increase his production of blueberry muffins by .

Given that  of  is , the number of muffins made by Tom on Wednesday would be 

Given that  of  is , the number of muffins made by Stan on Wednesday would be 

The average is calculated by adding numbers in a list together, and then dividing by the number of items in that list. This gives us:

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