More Lessons for SAT Math

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:

*k* is a positive integer divisible by 3

*k* < 60

To find:

The greatest possible value of *k*

Solution:

If you can remember the rule “A number is divisible by 3 if the sum of the numbers is divisible by three” then you can test out each answer mentally.

Otherwise, use you calculator to test each number.

**Answer: (C)**

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

Given:

The letter H is symmetric with respect to two different lines

To find:

The letter that is symmetric with respect to at least two different lines

Solution:

** Answer: (D)**

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

Given:

He receives $2 for each chore and a weekly allowance of $10

He did *n* chores

To find:

Expression that represents the amount he receives for the week

Solution:

Topic(s): Translating words to equations

Bobby received $10 allowance.

He did *n* chores at $2 each.

The expression is then 10 + 2*n*

**Answer: (D) 10 + 2 n**

**4. C****orrect answer: (C) **

Given:

The smallest squares in figure *A* and figure *B* are all equal in size

Area of *A* is 26 cm 2

To find:

Area of figure *B *

Solution:

Topic(s): Proportional word problem

Figure A has 13 squares and figure B has 8 squares.

Rewrite question as

If 13 squares then 26, if 8 squares then how many?

13 → 26

8 →

** Answer: (C) 16 sq cm**

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

Given:

The graph

To find:

The salesperson who has the greatest increase in units sold from 1998 to 1999

Solution:

The greatest increase in the number of units sold from 1998 to 1999 would be shown in the graph where the shaded bar (1999) is taller than the non-shaded bar (1998) and the difference in height is the greatest. You should be able to see that Goldberg fits those criteria.

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.