HSPT Math : HSPT Mathematics
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Example Questions
Example Question #461 : Hspt Mathematics
Jason is driving across the country. For the first 3 hours, he travels 60 mph. For the next 2 hours he travels 72 mph. Assuming that he has not stopped, what is his average traveling speed in miles per hour?
In the first three hours, he travels 180 miles.
In the next two hours, he travels 144 miles.
for a total of 324 miles.
Divide by the total number of hours to obtain the average traveling speed.
Example Question #3 : Calculating Rate
Tom runs a 100m race in a certain amount of time. If John runs the same race, he takes 2 seconds longer. If John ran at 8m/s, approximately how fast did Tom run?
Tom runs a 100m race in a certain amount of time. If John runs the same race, he takes 2 seconds longer. If John ran at 8m/s, how fast did Tom run?
Let 
Example Question #4 : How To Do Distance Problems
Find the distance from point 
Write the distance formula.
Substitute the values of the points into the formula.
The square root of 
Now we have
Example Question #4 : How To Do Distance Problems
Find the distance between the points 
Write the distance formula.
Plug in the points.
The distance is:
Example Question #11 : How To Do Distance Problems
Suppose a student ran a pace of eight minutes per mile at consistent pace. He arrived at the school in thirty minutes. How far is the school in miles?
The consistent pacing tells us that this is a linear relationship between distance and the student's speed and time.
Write the equation for the distance travelled.
The speed can be rewritten as:
Substitute the speed and time.
Example Question #22 : Word Problems
Mr. Thomas's car holds exactly 14 gallons of gasoline, and gets 24 miles per gallon. He gets into his car, which has a full gas tank, and drives 
Mr. Thomas gets 24 miles per gallon, and has driven 
Note that the amount of gasoline that the tank will hold is irrelevant to the problem.
Example Question #24 : Word Problems
Mrs. Williams' car gets 
In order to determine the amount Mrs. Williams paid for the gasoline, you need to know the value of each of the following varables except:
The price of the gasoline Mrs. Williams purchased is the number of gallons multiplied by the price per gallon. 
To find the amount of gasoline purchased - which is the amount she used - it is necessary to divide the number of miles she drove by the gas mileage in miles per gallon. These are 
Example Question #12 : How To Do Distance Problems
Six friends work for a company as maintenance staff.
Above are six graphs. Each graph shows the distance that one of the six is from his home from 8 AM to 9 AM on a particular day, relative to the time. The time of day is represented by the horizontal axis, and the distance from home is represented by the vertical axis. The name of the person represented by each graph is under the graph.
Of the six, who stopped for some breakfast on the way to work?
Mr. Idle
Mr. Palin
Mr. Chapman
Mr. Jones
Mr. Chapman
We are looking for someone whose distance from home increased steadily for a while, then became constant (since the person had to have not been moving), then increased steadily again. This describes the graph for Mr. Chapman.
Example Question #13 : How To Do Distance Problems
Six friends work for a company as maintenance staff.
Above are six graphs. Each graph shows the distance that one of the six is from his home from 8 AM to 9 AM on a particular day, relative to the time. The time of day is represented by the horizontal axis, and the distance from home is represented by the vertical axis. The name of the person represented by each graph is under the graph.
Of the six, which one started out, realized he forgot his briefcase, went back for it, and went to work?
Mr. Idle
Mr. Gilliam
Mr. Chapman
Mr. Palin
Mr. Idle
The distance this person was from his home increased steadily as he went to work, then decreased as he went back home for his briefcase, then increased again as he went on to work. This describes the graph for Mr. Idle.
Example Question #14 : How To Do Distance Problems
Six friends work for a company as maintenance staff.
Above are six graphs. Each graph shows the distance that one of the six is from his home from 8 AM to 9 AM on a particular day, relative to the time. The time of day is represented by the horizontal axis, and the distance from home is represented by the vertical axis. The name of the person represented by each graph is under the graph.
Of the six, which one works the night shift, and therefore went from work to home between 8 AM and 9 AM?
Mr. Palin
Mr. Gilliam
Mr. Cleese
Mr. Jones
Mr. Palin
Since the person in question went home, his distance from home decreased rather than increased as time went on. The graph will be a falling line; this graph represents Mr. Palin.
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