More Lessons for SAT Test Preparation

Math Worksheets

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More Lessons for SAT Preparation

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.

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

** Given: **

** To find: **

** Solution: **

Translate ‘of’ as ‘×’

**Answer: (A) 70**

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

**Given:**

A square box is divided into 6 compartments

Each of the rectangles *D, E* and *F* has twice the area of each of the equal squares *A, B* and *C *

**To find: **

The probability that a marble dropped will fall into compartment *F*

**Solution:**

Topic(s): Probability

If we take the areas of *A, B* and *C* to be *n* each then the areas of *D*, *E* and *F* will be 2*n*.

Altogether, the areas would be *n + n + n + *2*n + *2*n +*2*n = *9*n*

Area of *F* = 2*n *

Probabilty of it falling in *F* would be

**Answer: (E)**

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

**Given:**

*a* and *b* are odd integers

**To find: **

The expression(s) that must be odd integer(s)

**Solution: **

Topic(s): Even and odd numbers

Refer to the rules regarding operations on even and odd numbers

Since *a* is an odd numbers then, *a* + 1 is even

Check out each of the statement to find out which gives an odd number:

I. (*a* + 1)* b* → Even × Odd = Even (*no*)

II. (*a* + 1) +* b* → Even + Odd = Odd (*yes*)

III. (*a* + 1) –* b* → Even – Odd = Odd (*yes*)

**Answer: (E) II and III**

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

**Given: **

The decimal number 5.1011001000100001 …

After the decimal point, the first 1 is followed by one 0

the second 1 is followed by two 0’s and so on

**To find: **

Total number of 0’s between the 98th to the 101st ones

Solution:

Topic(s): Number sequence problem

Try to detect the pattern

After 1st one → 1 zero

After 2nd one → 2 zeros

.

.

.

After 98th one → 98 zeros

After 99th one → 99 zeros

After 100th one → 100 zeros

(Stop here; do not include the zeros after 101st one)

Total number of zeros from 98th one to 101st one is 98 + 99 + 100 = 297

**Answer: (D) 297**

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

**Given:**

*f*(*x*) =

**To find:**

The value of *f*(2)

**Solution:**

Substitute *x* = 2 into

**Answer: (D)**

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.