HSPT Math : Problem Solving
Study concepts, example questions & explanations for HSPT Math
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Example Questions
Example Question #26 : How To Multiply And Divide Fractions
Multiplying an algebraic fraction is the same as multiplying fractions. Just multiply the numerators and the denominators and simplify.
To simply, divide the numerator and the denominator by the greatest common factor of 
Example Question #21 : How To Multiply And Divide Fractions
To simplify divide the numerator and the denominator by the Greatest Common Factor, which is 
Example Question #41 : Fractions
To divide fractions, you multiply by the reciprocal (flip the denominator and multiply instead. \
So the problem now looks like
Then you multiply across,
and
So the answer is
Example Question #1 : How To Work With Percentages
The price of a suit after a 20% employee discount is $240.00. What is the original price?
Deducting a 20% discount is the same as charging 80% of the price, so $240.00 is 80% of the original price, which we call 
The suit originally cost $300.00
Example Question #2 : How To Work With Percentages
Express 
Put the percent over 100 and simplify as follows:
Note: all of these choices are equivalent to 
Example Question #1374 : Numbers And Operations
A store normally sells a certain coat for $40. For the holidays it offers a sale where the new price of the coat is now $30. What percent discount is the store selling the coat for?
The coat is $10 cheaper than normal.
Example Question #3 : Percentages
Marshal saves 10% of his paycheck each week. If Marshal earned $652.20 this week, approximately how much money did he save?
The word approximately tells you that you need to estimate to get the answer. $652.20 can round up to $700 because 52.20 is more than half of 100. Since 10% is equal to the decimal 0.10, we multiply 700 by this number in order to find out what 10% of 700 is.
The answer is
Example Question #3 : How To Work With Percentages
The sales tax rate for a particular locality is 9%. How much will be paid after tax for $154.92 worth of groceries?
Multiply the price of the groceries before tax - $154.92 - by the decimal equivalent of 9% , which is 0.09. Round this tax to the nearest hundredth (cents), then add to the price of the groceries.
Tax:
Price after tax:
Example Question #4 : How To Work With Percentages
Susan has a coupon for 10% off any one item at her favorite department store. There is also a storewide sale of 50% off all purchases.
If Susan wants to by a shirt originally priced at $42, how much will she pay?
$16.50
$37.80
$21.00
$20.00
$18.90
$18.90
The storewide sale discounts the shirt by 50%:
Susan also has the 10% off coupon, so she's really paying 90% of the cost of the shirt:
Example Question #1361 : Numbers And Operations
Exactly 
The total number of plants has to be divisible by 3. Of the answer choices, the only one that is divisible by 3 is 18. You can check this because numbers that are divisible have the sum of their digits also divisible by 3. For example,
which is divisible by 3, so 18 is divisible by 3.
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