All ISEE Middle Level Math Resources
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?
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?
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?
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?
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?
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?
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?
$900
$300
$700
$550
$750
$900
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?
$56
$58
$60
$66
$62
$58
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.
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?
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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All ISEE Middle Level Math Resources
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