ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

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Example Questions

Example Question #281 : Plane Geometry

If a triangle has a height of 2 inches and a base that is 3 times as long, what is the area?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Given that the height is 2 inches, and the base is 3 times that of the height, the base is 6 inches. 

 

 

Example Question #13 : How To Find The Area Of A Triangle

If the area of a triangle is 15 feet and the height is 5 feet, what is the length of the base?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Each side of the equation should be multiplied by 2. 

Each side should be divided by 5. 

Therefore, the base has a value of 6. 

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

A triangle has a height of 6 inches and a base of 3 inches. What is the area, in square inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Here, the base is 3 inches and the height is 6 inches. When plugging this information into the formula, we get:

This fraction reduces to 9, the correct answer. 

Example Question #12 : How To Find The Area Of A Triangle

Find the area of a triangle whose base is  and height is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a triangle. Thus,

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

If you have a right triangle with a height of 6 inches, a base of 8 inches, and a hypotenuse of 10 inches, what is its area?

Possible Answers:

Correct answer:

Explanation:

If you have a right triangle with a height of 6 inches, a base of 8 inches, and a hypotenuse of 10 inches, what is its area?

To find area of a triangle, we use

So, plug in our base and height measurements to get our answer:

Coincidentally, the same as our perimeter

Example Question #12 : How To Find The Area Of A Triangle

How much area does a triangular garden have with a base of  and a height of ?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is 

 

so given that the base is 5 and the height is 6, the area equation becomes,

  

and 

.

Example Question #18 : How To Find The Area Of A Triangle

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If the formula for the area of a triangle is

,

what is the area of this triangle?

Possible Answers:

Correct answer:

Explanation:

Using the formula:

where

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Since  the equation becomes

Note: Answer will always be represented with the measurement to the second power when calculating the area of a triangle.

Example Question #19 : How To Find The Area Of A Triangle

Find the area of a triangle with a height of 12in and a base that is half the height.

Possible Answers:

Correct answer:

Explanation:

The formula to find the area of a triangle is

where b is the base and h is the height of the triangle.

 

We know the height of the triangle is 12in.  We know the base is half the height, so the base is 6in.  Now, we can substitute.  We get

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

The base of a triangle is  inches, and the height of the triangle is  inches.  What is the area of the triangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two.  The best answer is:

 

Example Question #21 : How To Find The Area Of A Triangle

The base of a triangle is  inches, and the height of the triangle is  inches.  What is the area of the triangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two.  The best answer is:

 

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