More Lessons for SAT Preparation

Math Worksheets

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.

**16. Correct answer: 5**

Given:

The figure

To find:

Area of shaded square

Solution:

Topic(s): Complementary angles, ASA rule

*x* and *y* are complementary angles.

We can deduce that the unshaded triangles are congruent because of the ASA rule. This means the length of *AB* = *CD* = 2

Using Pythagoras theorem, we can calculate *AC*

Area of the shaded square =

**Answer: 5**

**17. Correct answer: 11**

Given:

To find:

The value of *k *

Solution:

Topic(s): Symbol problems

13 +

**Answer: 11**

**18. Correct answer: 3/8, .375**

Given:

Average test scores of a class of *p* students = 70

Average test scores of a class of *n* students = 92

When scores of both classes are combined, the average score = 86

To find:

The value of

Solution:

Topic(s): Statistics

Let *s* be the sum of the scores of the first class

*t* be the sum of the scores of the second class

SumOfTerms = Average × NumberOfTerms

*s *= 70*n
*

Combined average score

**Answer:**

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.