More Lessons for SAT math

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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 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.

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

Given:

1 package contains 12 rolls

Other packages contain 8 rolls

She bought 5 packages

To find:

The number of rolls purchased

Solution:

She bought 5 packages: 1 package with 12 rolls and 4 packages with 8 rolls.

1 × 12 + 4 × 8 = 12 + 32 = 44

**Answer: (C) 44**

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

**Given:**

*A, B* and *C* are points on a line in that order.

*AB = *30

*BC* is 20 more than *AB*

To find:

*AC*

Solution:

*AB* = 30.

*BC* is 20 more than *AB*; *BC *= 20 + 30 = 50

*AC= AB* + *BC* = 30 + 50 = 80

**Answer: (D) 80**

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

Given:

*x* + 3 = *a*

To find:

2*x* + 6

Solution:

2*x* + 6 = 2(*x* + 3) = 2*a*

**Answer: (C) 2 a**

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

Given:

The graph

To find:

The student whose change from Test I to Test II is the greatest

Solution:

The *x*-coordinate of a point represents the score on Test I.

The *y*-coordinate of a point represents the score on Test II.

We can calculate the difference between the *x* and *y* coordinates to determine the change in scores.

Point *A* is (40, 70), 70 – 40 = 30

Point *B* is (40, 60), 60 – 40 = 20

Point *C* is (60, 70), 70 – 60 = 10

Point *D* is (80, 80), 80 – 80 = 0

Point *E* is (80, 60), 80 – 60 = 20

The point with the greatest difference is A.

** Answer: (A) A **

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

Given:

The graph

To find:

Average of the scores of the 5 students on Test II

Solution:

Topic(s): Statistics

To get the average of the scores of 5 students on test II, add up all the scores of Test II (which is the *y*-coordinates of the points) and divide by 5

**Answer: (C) 68**

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