HSPT Math : HSPT Mathematics
Study concepts, example questions & explanations for HSPT Math
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Example Questions
Example Question #11 : How To Find The Area Of A Rectangle
Give the area of a rectangle with a length of 
We know that:
where:
So we can write:
Example Question #23 : Geometry
A rectangular table has a length of 
We know that:
where:
So we can write:
Example Question #104 : Plane Geometry
The length of a rectangle is three times longer than its width. If the width of the rectangle is 
The length of the rectangle would be:
We know that:
where:
So we can write:
Example Question #173 : Plane Geometry
Which of the following is the area of a rectangle with a width of 4 feet and a length that is twice the width?
The area of a rectangle is found by multiplying the width by the length.
We know that the width is 4 feet and the the length must be twice the width. Multiply the width by 2 to find the length.
Multiply the length and width to find the area.
Example Question #22 : Geometry
Jeff decided to build a play area for his guinea pigs. The play area would be an enclosure 6 feet long, 2 feet wide, and 2 feet tall. In cubic feet, how big is the play area?
The cubic feet of an area is found by multiping the length times the width times the height. Given that the length is six feet, the width is two feet, and that the height is two feet, the total cubic area would be found using this equation:
Here is the equation with the appropriate numbers plugged in:
Therefore, 24 cubic feet is the correct answer.
Example Question #3 : Area Of A Rectangle Or Square
Jessica's blanket is 12 square feet. Lisa has a blanket that is half the size of Jessica's blanket. Which of the following are possible dimensions of Lisa's blanket?
The area of a rectangle if found by multiplying the length times the width. Here, we know that Lisa's blanket is half the area of Jessica's blanket. Since Jessica's blanket is 12 square feet, that means that Lisa's blanket must be 6 square feet.
The only length and width values that give us 6 square feet when multiplied by one another are 3 feet by 2 feet. This is therefore the correct answer.
Example Question #1211 : Concepts
Which of the following is equal to the area of a square with perimeter 8 meters?
The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 8, or 2, meters. One meter is equal to 100 centimeters, so the sidelength is 200 centimeters. Square this to get the area:
Example Question #1212 : Concepts
Which of the following is the area of a square with perimeter 7 feet?
Convert 7 feet to inches by multiplying by 12: 
The sidelength of a square is one-fourth its perimeter, so the sidelength here is one-fourth of 84 inches. This is 
Square this to get the area:
Example Question #31 : Geometry
What is the area of a square with a side length of 4?
16
8
4
14
12
16
The area of a square is represented by the equation 
Therefore the area of this square is 
Example Question #32 : Geometry
Square A has sides measuring 5 meters. A second square, Square B, has sides that are 2 meters longer than the sides of Square A. What is the difference in area of Square A and Square B?
The area of Square A is 5 * 5, or 25 m2.
Since each of Square B's sides is 2 meters longer, the sides measure 7 meters. Therefore, the area of square B is 49 m2.
Subtract to find the difference in areas:
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