HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #604 : Arithmetic

20 is  % of what number?

Possible Answers:

Correct answer:

Explanation:

Let  be the number in question. If 20 is  % of , then 

Example Question #81 : Percentages

Four students ran for student body president - Anya, Florida, Moesha, and Winston.

According to the rules, a candidate must win more than 50% of the vote in order to claim an outright victory; otherwise, a runoff must be held between the top two vote-getters. It is known that  Florida won 67 votes, Moesha won 91 votes, and Winston won 180 votes. It is also known that there will be a runoff. At the very least, what percent of the vote did Anya win? (Nearest whole percent)

Possible Answers:

Correct answer:

Explanation:

Neither Florida nor Moesha won the most votes, so either Winston or Anya did. If there is going to be a runoff, then regardless of the outcome, the total of the votes won by Winston's opponents must at least equal the votes won by Winston. If we let stand for the number of votes Anya won, then

At the very least, Anya must have won 22 votes, which in this scenario would have been equal to:

This makes 6% the best choice.

Example Question #171 : Grade 7

If you get a 25% discount, what percentage of the original price will you have to pay?

Possible Answers:

Correct answer:

Explanation:

The original price will represent 100% of the item price since that represents the whole for the problem.  

If you get 25% off, you must take that away from the 100%.  

 

so you will have to pay 75% of the original price.

Example Question #1201 : Hspt Mathematics

What is the sale price of a product that costs  if the sale is  off the original price?

Possible Answers:

Correct answer:

Explanation:

First, find  of :

Then, subtract this value from the whole:

Example Question #1202 : Hspt Mathematics

What is the sale price of a television if it is on sale for % off the original price of

Possible Answers:

Correct answer:

Explanation:

First, multiply:

Then subtract that amount from the original price:

Answer: The sale price is .

Example Question #1203 : Hspt Mathematics

24 is what percent of 96?

Possible Answers:

Correct answer:

Explanation:

Translate the sentence into an equation

Isolate  and you get .

Remember that the question is asking for a percentage, so convert  into .

Example Question #1204 : Hspt Mathematics

If you rewrite the phrase "the product of nine and a number added to the sum of six and twice the number" as an algebraic expression, then simplify the expression, the result is:

Possible Answers:

Correct answer:

Explanation:

"The product of nine and a number" is .  "Twice the number" is , and "The sum of six and twice the number" is 

"The product...added to the sum..." is ; simplify to get

Example Question #1205 : Hspt Mathematics

Simplify the expression: 

Possible Answers:

Correct answer:

Explanation:

 

Example Question #1206 : Hspt Mathematics

Simplify: 

Possible Answers:

Correct answer:

Explanation:

Example Question #1207 : Hspt Mathematics

Possible Answers:

Correct answer:

Explanation:

Add the numbers and keep the variable:

Answer:

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