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More Lessons for SAT Test Preparation

Math Worksheets

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

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: (B)**

Given:

The figure

To find:

The measure of

Solution:

Topic(s): Supplementary angles

80 + *x* + *x* = 180 (supplementary angles)

2*x* = 100

*x* = 50

**Answer: (B) 50º **

**12, Correct answer: (C)**

Given:

*k* is a positive integer

To find:

The least value of *k* for which

Solution:

We can substitute in the values for *k* starting from the smallest value.

**Answer: (C) 15**

**13. Correct answer: (C)**

Given:

A figure showing 3 pieces of cardboard

To find:

Which of the following figures could be made from the 3 pieces of cardboard

Solution:

In order for a figure to be made from the 3pieces of cardboard, the area of the figure must be the sum of the areas of the 3 pieces of cardboard.

Area of the 3 pieces of cardboard:

If we count the number of small squares, we would get 1 + 5 + 3 = 9

Yes, we find that the 3 pieces of cardboard can form the shape in II

**Answer: (C) II only**

**14. Correct answer: (D)**

To find:

The number of integers greater than 20 and less than 30 that are the product of exactly 2 different numbers, both of which are prime

Solution:

We have to test all the nine numbers from 21 to 29:

**Answer: (D) Three**

**15. Correct answer: (A)**

Given:

The figure of a right triangle

To find:

The value of 49 + *x*^{2}

Solution:

Topic(s): Pythagoras theorem

Since it is a right triangle, we can use Pythagoras theorem

Substitute *x*^{2} = 1

49 + *x*^{2} = 49 + 1 = 50

**Answer: (A) 50**

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 widget 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.