All HSPT Math Resources
Example Questions
Example Question #81 : Arithmetic
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 #82 : 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 #5 : How To Find The Whole From The Part With Percentage
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 : 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 #22 : 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?
$550
$900
$700
$300
$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 #23 : 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
$60
$62
$66
$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 $.
Example Question #24 : Percentages
If Suzie's birthday cake costs $15 and it is on sale for 25% off how much will she pay at the register?
To find the answer you must first convert the sales percentage to a decimal by moving the decimal left two places yielding
Then multiply the total cost by the decimal .
We then subtract the sales number from the original cost to get the answer:
Example Question #2 : Number Concepts And Operations
There are 500 students at the high school. There are only two menu options: chicken or fish. If 15% of students ordered fish, how many students ordered chicken?
If 15% of students ordered fish, then 85% of the students must have ordered chicken. Then multiply 85% or .
Example Question #63 : Algebraic Concepts
A college has students. If percent of them are boys, how many girls are there?
percent of the students are boys, so percent of the students are girls.
Let = number of girls.
Then we can set up the following proportion:
Example Question #834 : Isee Upper Level (Grades 9 12) Mathematics Achievement
In appreciation for a job well done, Loretta is being awarded a bonus equal to 7.5% of the salary she earned over the last two years. Her monthly salary over the last twelve months was $3,500 per month; she received a raise of $500 per month twelve months ago. What is the amount of the bonus?
Loretta earned $3,000 per month for twelve months, and $3,500 per month for the following twelve months. This is a total of
earned over two years. 7.5% of this is
,
the amount of Loretta's bonus.