# SAT Skills Insight

Next Tests:
12/5 , 1/23

#### Skills needed to score in this band

SKILL 1: Solve the first stage of a problem, and then apply that solution to solve the next stage of the problem

SKILL 2: Recognize complexity in problems that appear at first to be routine

SKILL 3: Develop and apply an effective strategy and keep track of information in solving a nonroutine problem

SKILL 4: Identify relevant and irrelevant information when choosing a solution strategy

SKILL 5: Solve multistep problems involving properties of integers

1. 1

Solve the first stage of a problem, and then apply that solution to solve the next stage of the problem

Example

If and are positive odd integers and , what is one possible value of ?

50 or 58 or 82

2. 2

Recognize complexity in problems that appear at first to be routine

Example

3. 3

Develop and apply an effective strategy and keep track of information in solving a nonroutine problem

Example

In the figure above, and each circle is tangent to the other two circles at the labeled points. If each circle has diameter and is tangent to one of the two lines, what is the distance, , between and ?

4. 4

Identify relevant and irrelevant information when choosing a solution strategy

Example

In the figure above, the vertices of quadrilateral lie on the sides of quadrilateral . What is the sum of the degree measures of the eight indicated angles?

5. 5

Solve multistep problems involving properties of integers

Example

If is the square of a positive integer and is divisible by both and , what is the least possible value of ?