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HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

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

Example Questions

Example Question #281 : Plane Geometry

What is the area of the figure below?

Possible Answers:

37in^2

49in^2

74in^2

63in^2

25in^2

Correct answer:

74in^2

Explanation:

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

7.5

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

$A=7\times 7$ $A=5\times 5$

A=49in^2 A=25in^2

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

49in^2+25in^2=74in^2

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Example Question #51 : Rectangles

What is the area of the figure below?

Possible Answers:

132in^2

127in^2

35in^2

119in^2

84in^2

Correct answer:

119in^2

Explanation:

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

6.5

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

$A=7\times 12$ $A=7\times 5$

A=84in^2 A=35in^2

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

84in^2+35in^2=119in^2

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Example Question #52 : Rectangles

What is the area of the figure below?

Possible Answers:

46in^2

77in^2

55in^2

25in^2

37in^2

Correct answer:

77in^2

Explanation:

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

5.5

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

$A=5\times 5$ $A=13\times 4$

A=25in^2 A=52in^2

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

25in^2+52in^2=77in^2

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Example Question #53 : Rectangles

What is the area of the figure below?

Possible Answers:

40in^2

70in^2

118in^2

132in^2

48in^2

Correct answer:

118in^2

Explanation:

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

4.5

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

$A=10\times 7$ $A=6\times 8$

A=70in^2 A=48in^2

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

70in^2+48in^2=118in^2

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Example Question #54 : Rectangles

What is the area of the figure below?

Possible Answers:

16in^2

58in^2

64in^2

28in^2

48in^2

Correct answer:

64in^2

Explanation:

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

3.5

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

$A=12\times 4$ $A=4\times 4$

A=48in^2 A=16in^2

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

48in^2+16in^2=64in^2

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Example Question #55 : Rectangles

What is the area of the figure below?

Possible Answers:

50in^2

64in^2

18in^2

32in^2

72in^2

Correct answer:

50in^2

Explanation:

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

1.5

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

$A=4\times 8$ $A=3\times 6$

A=32in^2 A=18in^2

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

32in^2+18in^2=50in^2

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Example Question #56 : Rectangles

What is the area of the figure below?

Possible Answers:

57in^2

51in^2

25in^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

Report an Error

Example Question #41 : Geometry

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

Possible Answers:

12.5

Cannot be determined

125

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:

$99\ cm^{2}$

$45\ cm^{2}$

$98\ cm^{2}$

$198\ cm^{2}$

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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HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #281 : Plane Geometry

Example Question #51 : Rectangles

Example Question #52 : Rectangles

Example Question #53 : Rectangles

Example Question #54 : Rectangles

Example Question #55 : Rectangles

Example Question #56 : Rectangles

Example Question #41 : Geometry

Example Question #42 : Geometry

Example Question #43 : Geometry

All HSPT Math Resources

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