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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.

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

Given:

A table showing the test scores for 16 students

Sam’s score of 95 is added to the group

To find:

The median score for the test

Solution:

Topic(s): Statistics

The median of the 16 students is the average of the 6^{th} and 7^{th} student, which is 90.

After adding Sam’s score, the median would be the 9^{th} student, which is 85 (remember to add Sam to the number of students with score of 95)

**Answer: (C) 85**

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

Given:

Total capacity of 16 containers of one size is *x* gallons

Total capacity of 8 containers of another size is also *x* gallons

*x* > 0

To find:

The capacity of the larger container in terms of *x*

Solution:

Let *a* be the size of the 1^{st} container

Let *b* be the size of the 2^{nd} container

12*a* = *x*

8*b* = *x*

The second container is bigger. Rewrite *b* in terms of *x*

**Answer: (D) **

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

Given:

Rectangle *ABCD* lies in the *xy*-coordinate plane so that its sides are not parallel to the axes

To find:

The product of the slopes of all 4 sides of rectangle *ABCD *

Solution:

Topic(s): Coordinate geometry

The product of the slopes of perpendicular lines = -1.

From the sketch above,

**Answer: (D) 1**

**9. Correct answer: 2/3, 0,666 0,667**

Given:

An hour-long television program included 20 minutes of commercials

To find:

The fraction of the hour-long program that was not commercials

Solution:

Not commercial is 60 minutes – 20 minutes = 40 minutes Fraction of not commercials =

**Answer: 2/3, 0,666 0,667 **

**10. Correct answer: 10/3, 3.33**

Given:

The product of 0.3 and a number is equal to 1

To find:

The number Solution:

Let *x* be the number

**Answer: 10/3, 3.33**

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