SSAT Elementary Level Math : Geometry

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #1 : Use Rectangles And Circles To Show Halves And Fourths: Ccss.Math.Content.1.G.A.3

If I cut a rectangle into fourths, how am I changing the size?

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Possible Answers:

The four pieces will be smaller than the rectangle
    

The four pieces will be different sizes

 The four pieces will be bigger than the rectangle

The four pieces will be the same size as the rectangle

Correct answer:

The four pieces will be smaller than the rectangle
    

Explanation:

When we cut something in fourths, we get four smaller pieces that equal each other. If we put those pieces back together, we’d get the original size of the rectangle. 

Example Question #1 : Use Rectangles And Circles To Show Halves And Fourths: Ccss.Math.Content.1.G.A.3

If I cut a rectangle in half, how am I changing the size? 

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Possible Answers:

Each piece will be different sizes

Each piece will be the same size as the rectangle

Each piece will be bigger than the rectangle

Each pieces will be smaller than the rectangle, they will be half the size. 
    

Correct answer:

Each pieces will be smaller than the rectangle, they will be half the size. 
    

Explanation:

When we cut something in half, we get two smaller pieces that equal each other. If we put those pieces back together, we’d get the original size of the rectangle.

Example Question #23 : How To Find The Area Of A Rectangle

If I cut a rectangle into two parts, I am cutting it in ___________

Possible Answers:

Fourths

Half

Thirds

Quarters

Correct answer:

Half

Explanation:

When we cut something into two parts, which means the same thing as cutting it in half. 

Example Question #1352 : Common Core Math: Grade 1

What portion of the circle is striped? 

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Possible Answers:

A third of the circle is striped

A fifth of the circle is striped

Half of the circle is striped
 

A fourth of the circle is stripedd

Correct answer:

Half of the circle is striped
 

Explanation:

The circle is divided into two equal sizes. One side is striped and one side is blue. So half of the circle is striped. 

Example Question #1353 : Common Core Math: Grade 1

A fourth means the same thing as a ____________

Possible Answers:

 Third

Fifth

Fourth

Quarter
    

Correct answer:

Quarter
    

Explanation:

A fourth and a quarter mean the same thing because both words mean \(\displaystyle 4\) pieces. 

Example Question #32 : Rectangles

Tim's mom wants to put new tiles in their kitchen. She bought enough tiles to fit a \(\displaystyle 420\) square foot room. Tim measures the size of the kitchen and finds that one wall is \(\displaystyle 19\) feet long and the other wall is \(\displaystyle 23\) feet long. Has his mom purchased enough tiles to complete the entire floor in the kitchen? In your answer, include the square footage of the kitchen, according to Tim's measurements.

Possible Answers:

\(\displaystyle \textup{Yes, the area of the kitchen is 84 square feet.}\)

\(\displaystyle \textup{Yes, the area of the kitchen is 420 square feet.}\)

\(\displaystyle \textup{No, the area of the kitchen is 437 square feet}.\)

\(\displaystyle \textup{Yes, the area of the kitchen is 417 square feet.}\)

\(\displaystyle \textup{No, the area of the kitchen is 448 square feet.}\)

Correct answer:

\(\displaystyle \textup{No, the area of the kitchen is 437 square feet}.\)

Explanation:

To find the area of a rectangle, you need to multiply the length times the width.

\(\displaystyle \textup{Area} = \textup{l} \times \textup{w}\)

Tim measured the kitchen and found the two walls to be \(\displaystyle 19\) ft. and \(\displaystyle 23\) ft. To find the area we need to plug those numbers into our formula:

\(\displaystyle \textup{Area} = 19 \times 23\)

\(\displaystyle \textup{Area} = 437 \textup{ square feet}\)

We know that Sam's mother only ordered enough tiles to fill a \(\displaystyle 420\) square foot room, so she does NOT have enough tiles to fill the kitchen.

Example Question #5251 : Ssat Elementary Level Quantitative (Math)

What is the AREA of the rectangle in the figure?Screen_shot_2014-01-31_at_3.59.34_pm

Possible Answers:

\(\displaystyle 80 cm^2\)

\(\displaystyle 300 cm^2\)

\(\displaystyle 30 cm^2\)

\(\displaystyle 40 cm^2\)

\(\displaystyle 150 cm^2\)

Correct answer:

\(\displaystyle 300 cm^2\)

Explanation:

Because the question asks you to find the AREA of the rectangle, you are looking to figure out how much space the rectangle covers. You find the area of rectangle by multiplying the length of the rectangle times the width. So \(\displaystyle A = L \times W\), or \(\displaystyle A = 30 \: cm \times 10 \: cm.\) Therefore the correct answer is \(\displaystyle 300 cm^2\).

Example Question #35 : How To Find The Area Of A Rectangle

Find the area of a rectangle with a length of \(\displaystyle 6\) and a width of \(\displaystyle 10\).

Possible Answers:

\(\displaystyle 60\)

\(\displaystyle 16\)

\(\displaystyle 160\)

\(\displaystyle 30\)

\(\displaystyle 26\)

Correct answer:

\(\displaystyle 60\)

Explanation:

Write the area of a rectangle.

\(\displaystyle A= \textup{Length }\times \textup{Width }\)

Substitute the dimensions and solve for the area.

\(\displaystyle A=6\times 10 = 60\)

The area is \(\displaystyle 60\).

Example Question #91 : Geometry

Find the area of a rectangle whose width is 5 and length is 7.

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 12\)

\(\displaystyle 24\)

\(\displaystyle 35\)

Correct answer:

\(\displaystyle 35\)

Explanation:

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

\(\displaystyle A=w*l=5*7=35\)

Example Question #92 : Plane Geometry

Find the area of a rectangle whose width is 2 and length is 11.

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 22\)

\(\displaystyle 26\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 22\)

Explanation:

To find area of a rectangle, simply use the following formula.

\(\displaystyle A=w*l=2*11=22\)

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