**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.

**16. Correct answer: 8/7, 1.14**

Given:

The ratio of peanuts to cashews in a mixture is 5 to 2

The mixture is 4 pounds

To find:

The weight of the peanuts

Solution:

Topic(s): Proportional word problem

The number of parts = 5+2 = 7

The ratio of cashews to mixture is 2 to 7

We can then rewrite the problem as a proportion statement

If 7 pounds mixture then 2 pounds cashew, if 4 pounds mixture then how many pounds cashew

**Answer: 8/7**

**17. Correct answer: 0 < x < 3/8**

Given:

The figure

Line *m* passes through *O* and intersects between *A* and *B *

To find:

One possible value of the slope of line *m *

Solution:

Topic(s): Coordinate geometry

Slope of line *l* =

Slope of *x*-axis = 0

Slope of line *m* is then between 0 and

**Answer: any value between 0 and **

**18. Correct answer: 1350**

Given:

The table showing student enrollment from 1992 through 1996

The median enrolment for the 5 years was 1351

No 2 years have the same enrolment

To find:

The greatest possible value for *x *

Solution:

Topic(s): Statistics

If we order the student enrolment in ascending order we will get:

1238 *x* 1351 1459 1532

*x* must to the left of 1351 in order for 1351 to be the median (in the middle)

*x* cannot be greater than 1350 otherwise it move to the right of 1351 and 1351 will no longer be the median.

**Answer: 1350**

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