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HSPT Math : HSPT Mathematics

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 #1247 : Concepts

Rectangle 2

The above rectangle has perimeter 100. Give its area in terms of .

Possible Answers:

$50 N - N^{2}$

$100 N - N^{2}$

$2N + \frac{200}{N}$

$N + \frac{100}{N}$

Correct answer:

$50 N - N^{2}$

Explanation:

If we let be the width of the rectangle, then the perimeter can be given as the sum of the sidelengths, which is

W + N + W + N = 2W + 2N

If we set this equal to 100, then we can solve for in terms of as follows:

2W + 2N = 100

2W + 2N - 2N = 100 - 2N

2W = 100 - 2N

$\frac{2W}{2} = \frac{100 - 2N}{2}$

W = 50 - N

Multiply this width by length to get the area:

$N (50 - N)= 50 N - N^{2}$

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Example Question #1841 : Hspt Mathematics

Square a

The area of the above square is 40% of what number?

Possible Answers:

360

19.2

57.6

120

Correct answer:

360

Explanation:

The area of a square with sides of length 12 is the square of 12, or

$12 ^{2} = 12 \times 12 = 144$

The number of which 144 is 40% can be found by dividing 144 by 40%, or $\frac{40}{100}$ :

$144 \div \frac{40}{100}= 144 \times \frac{100}{40} = 360$ .

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Example Question #4 : How To Find The Area Of A Rectangle

What is the area of the figure below?

Possible Answers:

32in^2

22in^2

10in^2

12in^2

28in^2

Correct answer:

22in^2

Explanation:

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

11.5

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

$A=6\times 2$ $A=5\times 2$

A=12in^2 A=10in^2

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

12in^2+10in^2=22in^2

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Example Question #5 : How To Find The Area Of A Rectangle

What is the area of the figure below?

Possible Answers:

40in^2

28in^2

18in^2

32in^2

14in^2

Correct answer:

32in^2

Explanation:

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

10.5

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

$A=7\times 2$ $A=6\times 3$

A=14in^2 A=18in^2

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

14in^2+18in^2=32in^2

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Example Question #11 : How To Find The Area Of A Rectangle

What is the area of the figure below?

Possible Answers:

100in^2

96in^2

24in^2

72in^2

112in^2

Correct answer:

96in^2

Explanation:

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

9.5

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

$A=9\times 8$ $A=8\times 3$

A=72in^2 A=24in^2

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

72in^2+24in^2=96in^2

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

What is the area of the figure below?

Possible Answers:

24in^2

8in^2

32in^2

12in^2

28in^2

Correct answer:

32in^2

Explanation:

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

8.5

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

$A=4\times 6$ $A=4\times 2$

A=24in^2 A=8in^2

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

24in^2+8in^2=32in^2

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Example Question #4 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

18in^2

9in^2

34in^2

25in^2

36in^2

Correct answer:

34in^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

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

A=25in^2 A=9in^2

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

25in^2+9in^2=34in^2

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

What is the area of the figure below?

Possible Answers:

36in^2

40in^2

44in^2

48in^2

8in^2

Correct answer:

44in^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

$A=4\times 2$ $A=9\times 4$

A=8in^2 A=36in^2

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

8in^2+36in^2=44in^2

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Example Question #8 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

22in^2

40in^2

35in^2

9in^2

31in^2

Correct answer:

31in^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

$A=3\times 3$ $A=11\times 2$

A=9in^2 A=22in^2

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

9in^2+22in^2=31in^2

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Example Question #411 : Measurement & Data

What is the area of the figure below?

Possible Answers:

40in^2

24in^2

68in^2

64in^2

62in^2

Correct answer:

64in^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

$A=8\times 5$ $A=6\times 4$

A=40in^2 A=24in^2

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

40in^2+24in^2=64in^2

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #1247 : Concepts

Example Question #1841 : Hspt Mathematics

Example Question #4 : How To Find The Area Of A Rectangle

Example Question #5 : How To Find The Area Of A Rectangle

Example Question #11 : How To Find The Area Of A Rectangle

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

Example Question #4 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

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

Example Question #8 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

Example Question #411 : Measurement & Data

All HSPT Math Resources

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