**This is for SAT in Jan 2016 or before.**

The following are worked solutions for the questions in the math sections of the SAT Practice Tests found in the The Official SAT Study Guide Second Edition.

It would be best that you go through the SAT practice test questions in the Study Guide first and then look at the worked solutions for the questions that you might need assistance in. Due to copyright issues, we are not able to reproduce the questions, but we hope that the worked solutions will be helpful.

**11. Correct answer: 45**

Given:

Car *A* traveled 60 miles and averaged 20 miles per gallon of gasoline

Car *B* traveled 15 miles for each gallon of gasoline it used

Car *B *used the same amount of gasoline that car* A *used to travel 60 miles

To find:

The number of miles traveled by car *B *

Solution:

Topic(s): Proportional word problem

First, we need to find out how many gallons of gasoline were used by car *A* to travel 60 miles.

We can rewrite it as a proportion statement

If 20 miles then 1 gallon, if 60 miles then how many gallons?

Then, we need to calculate how many miles car *B* can travel with 3 gallons of gasoline

If 1 gallon then 15 miles, if 3 gallons then how many miles?

**Answer: 45**

**12. Correct answer: 105**

Given:

The figure

Points *A, D* and *E* lie on the same line

To find:

The value of *x *

Solution:

Topic(s): Sum of angles in a polygon, supplementary angles

Use the formula: Sum of angles of a quadrilateral = 360

*x* = 180 – 75 =105 (supplementary angles)

**Answer: 105**

**13. Correct answer: 12.5, 25/2**

Given:

The 1^{st} term in a sequence is 20

The 2^{nd }term is 8

The 3^{rd} term and each term thereafter is the average of the 2 terms immediately preceding it

To find:

The value of the 1 st term in the sequence that is not an integer

Solution:

Topic(s): Number sequence problems

Write out the terms

**Answer: 25/2**

**14. Correct answer: 3/50, .06**

Given:

*z* = 0

To find:

*x* is what fraction of *z*

Solution:

Topic(s): Substitution

** **

**Answer: 3/50**

**15. Correct answer: 192**

Given:

The figure

*EBCD* is a square

*AE* = 8

To find:

Area of *EBCD*

Solution:

Topic(s): 30-60-90 triangle

Triangle *ABE* is a 30-60-90 triangle.

From the ratio of the sides, we can determine that *BE* =

The area of *EBCD* =

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