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SSAT Elementary Level Math : Geometry

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #61 : Geometry

Use the following square to solve the problem:

Square1

Find the perimeter.

Possible Answers:

$10\text{cm}$

$\text{There is not enough information to solve the problem.}$

$20\text{cm}$

$25\text{cm}$

$15\text{cm}$

Correct answer:

$20\text{cm}$

Explanation:

To find the perimeter of a square, we will use the following formula:

P = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

Now, given the square

Square1

we can see the length is 5cm. Because it is a square, all sides are equal. Therefore, all sides are 5cm. So, we will substitute.

$P = 5\text{cm} + 5\text{cm} + 5\text{cm} + 5\text{cm}$

$P = 20\text{cm}$

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Example Question #62 : Geometry

The perimeter of a square is 24in. Find the length of one side.

Possible Answers:

$6\text{in}$

$8\text{in}$

$4\text{in}$

$9\text{in}$

$7\text{in}$

Correct answer:

$6\text{in}$

Explanation:

To find the perimeter of a square, we can use the following formula:

P = 4a

where a is the length of one side. Because a square has 4 equal sides, we can take 4 times the length of one side. So, to find the length of one side, we will solve for a.

We know the perimeter of the square is 24in. So, we will substitute. We get

$24\text{in} = 4a$

$\frac{24\text{in}}{4} = \frac{4a}{4}$

$6\text{in} = a$

$a = 6\text{in}$

Therefore, the length of one side of the square is 6in.

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Example Question #2 : Geometry

Which shape has only angles?

Possible Answers:

Cube

Pentagon

Triangle

Hexagon

Square

Correct answer:

Square

Explanation:

A square as only angles.

Screen shot 2015 09 09 at 12.05.23 pm

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Example Question #1 : Rectangles

Aaron and his family just moved into a new house. He wants to figure out the size of his new room. It is a rectangle. One side is 12 feet and the other side is 10 feet. What is the area of his new room?

Possible Answers:

$120ft^{2}$

$44ft^{2}$

$100ft^{2}$

$22ft^{2}$

$12ft^{2}$

Correct answer:

$120ft^{2}$

Explanation:

To find the area of a rectangle, multiply the length by the width $(l \times w)$ .

The question tells us that the length is 12 feet and the width is 10 feet.

$12 ft \times10ft = 120ft^{2}$

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Example Question #1 : Rectangles

If Tim draws a rectangle with a long side of 8 mm and a short side of 4 mm, what is the area?

Possible Answers:

$32mm^{2}$

$28mm^{2}$

$24mm^{2}$

$12mm^{2}$

Correct answer:

$32mm^{2}$

Explanation:

To find the area of a rectangle, multiply the length (8mm) by the width (4mm).

$8mm\times 4mm=32mm^{2}$

Therefore, the area is $32mm^{2}$ .

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Example Question #1 : Rectangles

Screen_shot_2013-12-23_at_8.09.23_pm

What is the area of the above rectangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of the rectangle, multiply the longer side (8) and shorter side (3) together.

$8\times 3=24$

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Example Question #1 : Rectangles

John needs a tablecloth that covers his entire dining room table. The tabletop measures 4 feet by 7 feet. Which of the following tablecloths should John buy?

Possible Answers:

$11\:ft^2$

$22\:ft^2$

$\fn_cm 27\:ft^2$

$\fn_cm \fn_cm 32\:ft^2$

Correct answer:

$\fn_cm \fn_cm 32\:ft^2$

Explanation:

The tablecloth measurements are areas, shown by the ft^2 units in the answer choices. Since the tabletop is 4 ft by 7 ft, John needs a tablecloth with an area of AT LEAST $28\: ft^2$ .

$\fn_cm \fn_cm 32\:ft^2$ is the only answer choice that meets that requirement.

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Example Question #61 : Geometry

Screen_shot_2014-01-02_at_10.15.24_pm

What is the area of the above rectangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of the rectangle, multiply the longer side (12) and the shorter side (3) together.

$12\times 3 = 36$

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Example Question #61 : Plane Geometry

A rectangle has a perimeter of $20\ m$ . One of its sides has a length of $4\ m$ .

What is the area of the rectangle?

Possible Answers:

$36\ m^2$

$20\ m^2$

$24\ m^2$

$40\ m^2$

$64\ m^2$

Correct answer:

$24\ m^2$

Explanation:

The perimeter of a figure is the sum of the lengths of all its sides. Every rectangle has two sets of two equal-length sides. One set of sides is $4\ m$ each, or $8\ m$ when added together.

$2 \times 4\ m = 8\ m$

We subtract $8\ m$ from the total $20\ m$ perimeter to find the lengths of the remaining sides.

$20\ m - 8\ m = 12\ m$

Since there are two remaining sides, the length of each of the remaining sides must be $6\ m$ .

$12\ m \div 2=6\ m$

The area of a rectangle is given by multiplying the length of its longer side by the length of its shorter side.

$6\ m \times 4\ m = 24\ m^2$

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Example Question #1 : Rectangles

Screen_shot_2014-02-12_at_9.31.18_pm

What is the area of the above rectangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of the rectangle, multiply the longer side (7) and the shorter side (5) together.

$$7\times 5 = 35$

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SSAT Elementary Level Math : Geometry

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

All SSAT Elementary Level Math Resources

Example Questions

Example Question #61 : Geometry

Example Question #62 : Geometry

Example Question #2 : Geometry

Example Question #1 : Rectangles

Example Question #1 : Rectangles

Example Question #1 : Rectangles

Example Question #1 : Rectangles

Example Question #61 : Geometry

Example Question #61 : Plane Geometry

Example Question #1 : Rectangles

All SSAT Elementary Level Math Resources

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