All ISEE Middle Level Math Resources
Example Questions
Example Question #1 : How To Find The Whole From The Part With Percentage
Refer to the above diagram. If there were 15,934 voters who were affiliated with a political party in Smith County in 2009, how many voters (nearest whole number) were there total?
40% of the voters were registered as independents, so 60% were registered as a member of a political party. Since 60% of the voters numbered 15,934, we can find the total number of voters by setting up and solving a proportion:
which rounds to 26,557 voters.
Example Question #83 : Arithmetic
Refer to the above graph. If there were 17,856 registered voters in Smith County in 2009, how many voters were registered as neither Republicans nor Democrats (nearest whole number)?
2% of the voters were registered as members of other parties, and 40% were unaffiliated, so we want to calculate 42% of 17,856, or, equivalently,
which, to the nearest whole number, rounds to 7,500 voters.
Example Question #1141 : Hspt Mathematics
240 is 30% of what number?
Set up the proportion statement and solve for :
Cross-multiply:
Example Question #3 : How To Find The Whole From The Part With Percentage
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 #84 : Arithmetic
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 #1 : How To Find The Whole From The Part With Percentage
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?
$700
$900
$300
$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 #1 : How To Find The Whole From The Part With Percentage
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?
$66
$60
$62
$56
$58
$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 $.
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All ISEE Middle Level Math Resources
