HSPT Math : Arithmetic
Study concepts, example questions & explanations for HSPT Math
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Example Questions
Example Question #1 : How To Solve Arithmetic Word Problems
The menu of a local coffeehouse reads as follows:
Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and an espresso. The sales tax is five percent. How much change does she receive back for a twenty-dollar bill?
A twenty-dollar bill isn't enough to buy the drinks.
The three cappuccinos cost:
The two iced teas cost
The two cafe lattes cost
The espresso costs 
Add these amounts to get the cost before tax:
The tax is five percent of 
Add both values in order to obtain the total cost after tax.
As a result, the change from a twenty-dollar bill is as follows:
Example Question #1 : How To Multiply And Divide Decimals
What is 48,570 in scientific notation?
Convert to scientific notation by creating a number that is greater than or equal to 1 AND less than 10 AND includes the same digits as the original number. Remove all zeros before the first natural number and after the last natural number.
So, we have 48,570.
Now we move the decimal to create our number between 1 and 10.
4.8570
We have one zero after the last natural number, which is 7. Remove that.
4.857
Now we must multiply that number by 10 to a certain power. We choose our power by how many places the decimal must move to get our original number. In this case, the decimal would have to move 4 places to the right.
4.857
48.57
485.7
4857.
48,570.
So our final answer is
Example Question #51 : The Number System
If Exam 1 is worth 25% of the total grade, Exam 2 is worth 25% and Exam 3 is worth 50%, what is Dave’s final grade?
84
82
83.5
79
85.75
84
Final Grade = Exam1 * 0.25 + Exam 2 * 0.25 + Exam3 * 0.50 =
96*0.25 + 70*0.25 + 85*0.5 =
24 + 17.5 + 42.5 = 84
Example Question #1 : How To Multiply Decimals
Kevin is looking at the blueprint of the house he is building. The scale is 1 inch = 5 feet. On paper, the master bedroom is 2.5 inches by 3 inches. What is the actual size of the bedroom?
20 ft x 30 ft
10 ft x 10 ft
7.5 ft x 9 ft
12.5 ft x 15 ft
15 ft x 25 ft
12.5 ft x 15 ft
The given dimensions must be multiplied by 5, so 2.5 inches becomes 12.5 feet, and 3 inches becomes 15 feet.
Example Question #2 : How To Multiply Decimals
A car has gas mileage of 46 miles per gallon. Assume that gas costs $3.90 per gallon. What would be the total cost of gas if the car traveled 1,150 miles?
$100.00
$115.60
$97.50
$179.40
$125.70
$97.50
First find out how many gallons of gas the car consumed while traveling 1150 miles. This can be found out like so:
1150 miles x gallons/46 miles = 25 gallons
Multiplying 25 by $3.90 yields $97.50.
Example Question #2 : How To Multiply And Divide Decimals
If 
Using the factor-label method we get the following equation.
We treat the units as if they are numbers, and can cancel the units from the fractions.
Example Question #11 : Decimals
You bought a dozen eggs marked at 
Set the equation up as
Solve for 
or
Therefore the percent sales tax is:
Example Question #11 : Arithmetic
Multiply:
To multiply, there is no need to solve for a least common denominator. Simply multiply the numerator with the numerator and the denominators together.
Example Question #7 : Multiplying Multi Digit Decimals
Multiply:
Multiply the terms as is, ignoring the decimal.
Since there is one decimal from the original problem, the decimal place is one unit from the right. Therefore, the final answer must have a decimal one unit to from the right.
The answer is 
Example Question #1 : How To Multiply And Divide Decimals
Above is the menu at the concession stand at a school carnival.
David wants to buy some chicken strips for himself and his companions. He wants six strips, his brother Mickey wants five strips, his girlfriend Vickie wants three, and Mickey's girlfriend Jenny wants five. Since the concession stand only sells the strips in orders of four, he has decided to just purchase as many orders as it takes to feed the entire group. How much will he spend on enough orders of strips to satisfy the group?
(No tax is charged, since this is a school event)
The group wants a total of 
Dave will need to purchase five orders of strips (he cannot purchase a partial order). This will cost him
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