ISEE Lower Level Quantitative : Triangles

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

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Example Questions

Example Question #1391 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

The perimeter of a triangle is 14 inches.  One side is 4 inches long.  Another side is 5 inches long.  How long is the 3rd side?

Possible Answers:

\(\displaystyle 2\ inches\)

\dpi{100} 4\ inches\(\displaystyle \dpi{100} 4\ inches\)

\(\displaystyle 5\ inches\)

\(\displaystyle 6\ inches\)

Correct answer:

\(\displaystyle 5\ inches\)

Explanation:

Add up all of the sides of a triangle to get the perimeter.  Here, 2 of the sides add up to give you 9 inches.  The third side must equal the difference between 14 inches and 9 inches.

\(\displaystyle 14-9=5\ inches\)

Example Question #1392 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Bill found the perimeter of the triangle below to be 34 units. Screenshot_2015-03-25_at_3.10.52_pm

What is the length of the missing side?

Possible Answers:

12 units

20 units

13 units

14 units

15 units

Correct answer:

14 units

Explanation:

The perimeter of a triangle can be found by adding up all of the sides.

 

Start by adding the two sides that are given: 8 + 12 = 20

The third side can be found by subtracting this sum from the total perimeter: 34 - 20 = 14.  The missing side is 14 units long.

Example Question #1393 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Zoe drew the below triangle.

Screenshot_2015-03-25_at_3.11.47_pm

What is the perimeter of the triangle?

Possible Answers:

39 inches

30 inches

40 inches

36 inches

20 inches

Correct answer:

39 inches

Explanation:

The perimeter of a triangle can be found by adding all of the side lengths: 8 + 12 + 19 = P.  Therefore, the perimeter of the given triangle is 39 inches.

Example Question #1394 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Megan drew the triangle below and found its perimeter to be 36 inches.

Screenshot_2015-03-26_at_3.33.33_pm

What is the length of the missing side?

Possible Answers:

12 inches

21 inches

36 inches

9 inches

15 inches

Correct answer:

9 inches

Explanation:

The perimeter of a triangle can be found by adding up all of the sides.

 

Start by adding the two sides that are given: 15 + 12 = 27

The third side can be found by subtracting this sum from the total perimeter: 36 - 27 = 9.  The missing side is 9 inches long.

Example Question #1395 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

James found the perimeter of the triangle to be 95 cm.

Screenshot_2015-03-29_at_2.50.56_pm

What is the length of the missing side?

Possible Answers:

\(\displaystyle 44\:cm\)

\(\displaystyle 42\:cm\)

\(\displaystyle 40\:cm\)

\(\displaystyle 47\:cm\)

\(\displaystyle 38\:cm\)

Correct answer:

\(\displaystyle 44\:cm\)

Explanation:

To find the perimeter of a triangle, add the lengths of the three sides together. In the given triangle, \(\displaystyle x+38+13=95\). Combine like terms and solve for \(\displaystyle x\) in order to find the length of the missing side: 

\(\displaystyle x+51=95\)

\(\displaystyle x+51-51=95-51\)

\(\displaystyle x=95-51=44\)

The missing side is \(\displaystyle 44\:cm\) long.

Example Question #1396 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Screenshot_2015-03-29_at_2.51.35_pm

What is the perimeter of the above triangle?

Possible Answers:

\(\displaystyle 102\:mm\)

\(\displaystyle 155\:mm\)

\(\displaystyle 175\:mm\)

\(\displaystyle 145\:mm\)

\(\displaystyle 71\:mm\)

Correct answer:

\(\displaystyle 155\:mm\)

Explanation:

To find the perimeter of a triangle, add up the lengths of the three sides:

\(\displaystyle 71\:mm\:+62\:mm\:+22\:mm=155\:mm\)

Example Question #521 : Measurement & Data

What is the perimeter of the triangle below? 

Screen shot 2015 11 09 at 8.17.56 am

 

Possible Answers:

\(\displaystyle 42cm\)

\(\displaystyle 40cm\)

\(\displaystyle 36cm\)

\(\displaystyle 46cm\)

\(\displaystyle 38cm\)

Correct answer:

\(\displaystyle 36cm\)

Explanation:

To find the perimeter, we add all of the side lengths together. 

\(\displaystyle 16+16+4=36\)

Example Question #522 : Measurement & Data

What is the perimeter of the triangle below? 

Screen shot 2015 11 09 at 8.18.26 am

 

Possible Answers:

\(\displaystyle 35cm\)

\(\displaystyle 25cm\)

\(\displaystyle 45cm\)

\(\displaystyle 40cm\)

\(\displaystyle 30cm\)

Correct answer:

\(\displaystyle 45cm\)

Explanation:

To find the perimeter, we add all of the side lengths together. 

\(\displaystyle 20+20+5=45\)

Example Question #41 : How To Find The Perimeter Of A Figure

What is the perimeter of the triangle below? 

Screen shot 2015 11 09 at 8.22.47 am

 

Possible Answers:

\(\displaystyle 27cm\)

\(\displaystyle 36cm\)

\(\displaystyle 43cm\)

\(\displaystyle 39cm\)

\(\displaystyle 34cm\)

Correct answer:

\(\displaystyle 39cm\)

Explanation:

To find the perimeter, we add all of the side lengths together. 

\(\displaystyle 17+17+5=39\)

Example Question #42 : How To Find The Perimeter Of A Figure

What is the perimeter of the triangle below? 

Screen shot 2015 11 09 at 8.23.04 am

 

Possible Answers:

\(\displaystyle 31cm\)

\(\displaystyle 37cm\)

\(\displaystyle 29cm\)

\(\displaystyle 41cm\)

\(\displaystyle 34cm\)

Correct answer:

\(\displaystyle 31cm\)

Explanation:

To find the  perimeter, we add all of the side lengths together. 

\(\displaystyle 13+13+5=31\)

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