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HSPT Math : HSPT Mathematics

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6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #33 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

25in^2

51in^2

57in^2

43in^2

37in^2

Correct answer:

37in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles.

2.5

Using our area formula, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=5\times 5$ $A=4\times 3$

A=25in^2 A=12in^2

To find our final answer, we need to add the areas together.

25in^2+12in^2=37in^2

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Example Question #41 : Geometry

What is the area of a triangle with a side lengths of 5?

Possible Answers:

12.5

125

Cannot be determined

Correct answer:

Cannot be determined

Explanation:

The area of a triangle is found with the equation

$a=\frac{1}{2}b h$ .

Since we do not have the height, we cannot answer the question.

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Example Question #42 : Geometry

What is the area of a triangle with a base of 22 cm and a height of 9 cm?

Possible Answers:

$99\ cm^{2}$

$45\ cm^{2}$

$198\ cm^{2}$

$98\ cm^{2}$

Correct answer:

$99\ cm^{2}$

Explanation:

Use the area of a triangle formula

$A=\frac{1}{2}bh$

Plug in the base and height. This gives you $99\ cm^{2}$ .

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Example Question #43 : Geometry

What is the circumference of a circle with a radius of 5?

Possible Answers:

$\dpi{100} 10\pi$

$\dpi{100} 50\pi$

$\dpi{100} 5\pi$

$\dpi{100} 25\pi$

Correct answer:

$\dpi{100} 10\pi$

Explanation:

The formula for circumference is $\dpi{100} \pi d$ or $\dpi{100} 2\pi r$ .

Since we are given the radius, we will use $\dpi{100} 2\pi r$ .

$\dpi{100} 2\pi r=2\pi (5)=10\pi$

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Example Question #2 : How To Find The Perimeter Of A Figure

What is the perimeter of a square with a side length of 4?

Possible Answers:

$\dpi{100} 16$

$\dpi{100} 20$

$\dpi{100} 12$

$\dpi{100} 5$

Correct answer:

$\dpi{100} 16$

Explanation:

The formula for the perimeter of a square is $\dpi{100} 4s$ , where $\dpi{100} s$ is the length of one side of the square.

So $\dpi{100} 4\cdot (4)=16$

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Example Question #51 : Geometry

If the perimeter of a rectangle is 40, and the width of the rectangle is 8, what is the length of the rectangle?

Possible Answers:

$\dpi{100} 12$

$\dpi{100} 4$

$\dpi{100} 5$

$\dpi{100} 10$

Correct answer:

$\dpi{100} 12$

Explanation:

The formula for the perimeter of a rectangle is $\dpi{100} P=2l+2w$ , where $\dpi{100} l$ is the length of the rectangle and $\dpi{100} w$ is the width.

Plug in the numbers that we are given into the equation.

$\dpi{100} 40=2l +2(8)$

$\dpi{100} 40=2l +16$

$\dpi{100} 40-16=2l +16-16$

$\dpi{100} 24=2l$

$\dpi{100} \frac{24}{2}=\frac{2l}{2}$

$\dpi{100} l=12$

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Example Question #52 : Geometry

What is the perimeter of a rectangle with a base of 4 and a height of 8?

Possible Answers:

Correct answer:

Explanation:

When searching for the perimeter of a rectangle we are looking for the sum of the lengths of all of the sides enclosing the figure. In this case there are four sides, two that are the base and two that are the height. To find the perimeter we add all four of them together.

Therefore the equation for the perimeter of a rectangle is $2(Base)+2(Height)=Perimeter\: of\: a\: Rectangle$

In this case the equation looks like this 2(4)+2(8)

Multiply the numbers together 8+16

Then add them to get the answer

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Example Question #5 : How To Find The Perimeter Of A Figure

What is the height of a rectangle with a perimeter of 30 and base of 12?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is the sum of four sides, two that are the base and two that are the height. To find the perimeter we add all four of them together.

Therefore the equation for the perimeter of a rectangle is

In this example we plug in the base and the perimeter so the equation looks like this 2(Height)+2(12)=30

Perform the multiplication to get 2(Height)+24=30

Subtract from both sides to arrive at 2(Height)=6

Then divide by 2 to find the height $\frac{2(Height)}{2}=\frac{6}{2}$

The answer Height=3

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Example Question #6 : How To Find The Perimeter Of A Figure

What is the perimeter of a square with a side legnth of 8?

Possible Answers:

Correct answer:

Explanation:

When searching for the perimeter of a square we are looking for the sum of the lengths of all of the sides enclosing the figure. In this case there are four sides that are all equal length. To find the perimeter we add all four of them together or multiply the side length by four.

In this example the equation looks like this:

$Perimeter\: of\: square=4*8$

Multiply the numbers together to get .

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Example Question #7 : How To Find The Perimeter Of A Figure

What is the radius of a circle with a circumference of $64\pi$ ?

Possible Answers:

Correct answer:

Explanation:

To find the radius of a circle given the circumference we must first know the equation for the circumference of a circle which is

$Circumference=2\pi(r)$

Then we plug in the circumference into the equation for yielding $64\pi=2\pi(r)$

We then divide each side by $2\pi$ : $\frac{64\pi}{2\pi}=32$

We then have the answer for which is .

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #33 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

Example Question #41 : Geometry

Example Question #42 : Geometry

Example Question #43 : Geometry

Example Question #2 : How To Find The Perimeter Of A Figure

Example Question #51 : Geometry

Example Question #52 : Geometry

Example Question #5 : How To Find The Perimeter Of A Figure

Example Question #6 : How To Find The Perimeter Of A Figure

Example Question #7 : How To Find The Perimeter Of A Figure

All HSPT Math Resources

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