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ISEE Lower Level Math : Geometry

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All ISEE Lower Level Math Resources

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Example Questions

Example Question #291 : Geometry

Set_3

Figure not drawn to scale

Find the perimeter of the trapezoid.

Possible Answers:

$72\ in$

$30\ in$

$46\ in$

$40\ in$

$24\ in$

Correct answer:

$40\ in$

Explanation:

In order to find the perimeter of the trapezoid, you must add up the lengths of all the sides of the trapezoid.

8+10+8+14=40

Because the lengths of the trapezoid are in inches, the answer is 40 in.

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

What would you call a polygon with four sides and four angles, all of different measurements?

Possible Answers:

Rhombus

Square

None of these

Rectangle

Quadrilateral

Correct answer:

Quadrilateral

Explanation:

A quadrilateral has four sides and four angles, but no restrictions on how the lengths or measures are related. Thus, quadrilateral is the right answer.

In squares and rectangles, all four angles measure 90 degrees; thus the angles are all of equal measurements, making square and rectangle incorrect answer choices. A rhombus has two sets of angles of equal measurements, and would also be incorrect.

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Example Question #3 : How To Find The Perimeter Of A Trapezoid

Mrs. Green's garden is shaped like a trapezoid. She wants to build a fence on the perimeter of her garden. The sides of her garden measure 3 ft, 4 ft, 10 ft, 12 ft . How long will the fence need to be?

Possible Answers:

29 ft

124 ft

132 ft

34 ft

28 ft

Correct answer:

29 ft

Explanation:

To calculate the perimeter of a trapezoid, find the sum of the four sides.

P = 3 ft + 4ft + 10ft + 12 ft

P=29ft

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Example Question #3 : How To Find The Perimeter Of A Trapezoid

The perimeter of a trapezoid is two times the base length plus two times the side lengths. True or False?

Possible Answers:

True

False

Correct answer:

False

Explanation:

Since the two base lengths area not the same length, you must add them separately and not just multiple one of the by two.

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Example Question #23 : Trapezoids

Set_3

Figure not drawn to scale

Find the perimeter of the trapezoid.

Possible Answers:

$36\textup{ in}$

$38\textup{ in}$

$32\textup{ in}$

$40\textup{ in}$

$34\textup{ in}$

Correct answer:

$40\textup{ in}$

Explanation:

In order to find the perimeter of the trapezoid, you must add up the lengths of all the sides of the trapezoid.

8+10+8+14=40

Because the lengths of the trapezoid are in inches, the answer is $40\textup{ in}$

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Example Question #292 : Geometry

The base of triangle ABC is $\dpi{100} 6\ cm$ , it's height $\dpi{100} 12\ cm$ . What is the triangle's area?

Possible Answers:

$\dpi{100} 36\ cm^{2}$

$\dpi{100} 72\ cm^{2}$

$\dpi{100} 30\ cm^{2}$

$\dpi{100} 18\ cm^{2}$

Correct answer:

$\dpi{100} 36\ cm^{2}$

Explanation:

$\dpi{100} Area=\frac{1}{2}\ base\times height$

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Example Question #293 : Geometry

What is the area of a triangle that has a base of $14\ cm$ and a height of $5\ cm.$

Possible Answers:

$19 cm^{2 }$

$40 cm^{2}$

$35 cm^{2}$

$38 cm^{2}$

$42 cm^{2}$

Correct answer:

$35 cm^{2}$

Explanation:

In order to find the area of a triangle, we must use the formula

$\frac{1}{2}\left ( b\cdot h \right )$

So the first thing we must do is multiply the base and height.

$14cm\cdot 5 cm = 70 cm^{2}$

The next thing we must do is find $\frac{1}{2}$ of through multiplication.

$\small \frac{1}{2}$ $\cdot 70 cm^{2}=35 cm^{2}$

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Example Question #3 : How To Find The Area Of A Triangle

Find the area of the triangle:

Question_12

Possible Answers:

Correct answer:

Explanation:

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

$A=\frac{1}{2}(10)(7)$

A=(5)(7)=35

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Example Question #2 : How To Find The Area Of A Triangle

A triangle has an area of 36 in.². if its base is 6 in., what is its height?

Possible Answers:

$6\ in$

$12\ in$

$3\ in$

$36\ in$

$24\ in$

Correct answer:

$12\ in$

Explanation:

To find the height of the triangle, you must need to plug in what you know (the area and the base of the triangle) into the formula to find the area of the triangle:

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

$36=\frac{1}{2}6h$

Now that you plugged in the area and the base into the formula to find the area of a triangle, you can solve for the height:

Multiply both sides by 2 (the reciprocal of 1/2) to get rid of the fraction

$2*36=\frac{1}{2}6h*2$

72=6h

Divide both sides by 6 to find the height

$\frac{72}{6}=\frac{6}{6}h$

12=1*h Remember that 1*h is the same as

12=h

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Example Question #294 : Geometry

A triangle has a base that is 8 cm. and a height that is 12 cm. What is the area of this triangle?

Possible Answers:

$48\ cm^{2}$

$60\ cm^{2}$

$36\ cm^{2}$

$50\ cm^{2}$

$96\ cm^{2}$

Correct answer:

$48\ cm^{2}$

Explanation:

To find the area of the triangle, we need to plug in what we know (the base and the height) into the formula to find the area of the triangle:

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

$A=\frac{1}{2}*8*12$

We can know solve for

$A=\frac{1}{2}*8*12$

A=4*12

$A=48cm.^{2}$

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Geometry

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #291 : Geometry

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

Example Question #3 : How To Find The Perimeter Of A Trapezoid

Example Question #3 : How To Find The Perimeter Of A Trapezoid

Example Question #23 : Trapezoids

Example Question #292 : Geometry

Example Question #293 : Geometry

Example Question #3 : How To Find The Area Of A Triangle

Example Question #2 : How To Find The Area Of A Triangle

Example Question #294 : Geometry

All ISEE Lower Level Math Resources

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