More Lessons for SAT Test Preparations

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: (A)**

Given:

*s* + *t *= 3

To find:

*s *+ *t* – 6

Solution:

Topic(s): Substitution

*s *+ *t* – 6 = 3 – 6 = – 3

**Answer: (A) – 3 **

**2. Correct answer: (C)
**Given:

The figure of a cube

To find:

The point whose distance is from *P *is different from its distance from *Q *

Solution:

*C* is nearer to *Q* then to *P*. This is because *PQ* is the diagonal of a right triangle whose sides are the same length as *CQ*.

**Answer: (C) C **

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

Given:

The bar graph

To find:

The circle graph that displays the same data as the bar graph

Solution:

We need to estimate how much of the circle would be taken by each category.

Web sites take up 78%.

Web sites should take up more than of the circle. This eliminates (A) and (B).

News Groups take up 2% but that is not shown in (C). This eliminates (C).

In (E), E-mail is shown to be only about twice the size of News Groups when it should be about 18 ÷ 2 = 9 times bigger. This eliminates (E).

So, the most correct graph is (D)

**Answer: (D) **

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

Given:

The numerator of a certain fraction is 5 less than the denominator

The fraction =

To find:

The denominator of the fraction

Solution:

Topic(s): Fractions

Let *x* = denominator

*x* – 5 = numerator

Cross multiply

4(*x* – 5) = 3*x* ⇒ 4*x* – 20 = 3*x* ⇒ *x* = 20

**Answer: (D) 20 **

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

Given:

The figure (be careful about the scale)

Area of triangle *ABC *is 18

To find:

The value of *k *

Solution:

Topic(s): Area of triangle

From the figure, we get *b* = 3*k*, *h* = 4

**Answer: (E) 3 **

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.