# SAT Skills Insight

Next Tests:
11/7 , 12/5

#### Skills needed to score in this band

SKILL 1: Recognize and use the following:
— Simple inscribed and circumscribed figures
— The Pythagorean Theorem
— Coordinate geometry (e.g., slope calculations)
— Parallelism and perpendicularity
— Two- and three-dimensional figures
— Figures composed of two or more simple shapes

SKILL 2: Interpret and solve two-step problems involving geometric proportions

1. 1

Recognize and use the following: Simple inscribed and circumscribed figures

Example

In the figure above, square is inscribed in the circle. What is the degree measure of arc ?

Answer Choices
2. 2

Recognize and use the following: The Pythagorean Theorem

Example

In triangle above, what is the length of side ?

Answer Choices
3. 3

Recognize and use the following: Coordinate geometry (e.g., slope calculations)

Example

In the -plane, what is the slope of the line through the points and ?

Answer Choices
4. 4

Recognize and use the following: Parallelism and perpendicularity

Example

In the figure above, lines and are parallel. What is the value of ?

Answer Choices
5. 5

Recognize and use the following: Two- and three-dimensional figures

Example

What is the maximum number of rectangular blocks measuring inches by inches by inch that can be packed into a cube-shaped box whose interior measures inches on an edge?

Answer Choices
6. 6

Recognize and use the following: Figures composed of two or more simple shapes

Example

What is the area of the figure above?

Answer Choices
7. 7

Interpret and solve two-step problems involving geometric proportions

Example

The large cube in the figure above is divided as shown into smaller cubes, all of equal volume. If of these smaller cubes have a combined volume of , what is the volume of the large cube?

Answer Choices

#### Skills needed to score in the next band

Recognize and use volume in solving multistep problems

Use the relationships between the slopes of parallel and perpendicular lines in the coordinate plane

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