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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.

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

**Given: **

The eggs are either white or brown

The ratio of white eggs to brown eggs is

**To find: **

The value that cannot be the number of eggs

**Solution: **

Topic(s): Ratio

The ratio of white eggs to brown eggs is

The total number of parts is 2 + 3 = 5.

So, the total number of eggs must be divisible by 5.

The only given answer that is not divisible by 5 is 12.

**Answer: (B) 12**

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

** Given: **

*r* and *t* are positive integers

*r* > *t*

**To find:**

*rt*

Solution:

Topic(s): Exponents

*rt* = 54 × 2 = 108

**Answer: (C) 108**

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

**Given:**

The diagram

**To find: **

The value of *c* in terms of *a* and *b*

**Solution:**

Topic(s): Angles

The sum of angles on a straight line is 180º.

Since *AED* is a straight line, *x* + *y* + *z* = 180 (equation 1)

The sum of angles in a triangle is also 180º.

For triangle *AEB*,

*x + b + c = *180 * ⇒ x = *180 – (*b + c *)

For triangle *BEC*,

*y + a + b = *180 * ⇒ y = *180 – (*a + b*)

For triangle *DEC*,

*z + a + b = *180 * ⇒ x = *180 – (*a + b*)

Substituting *x, y* and *z* into equation 1.

**Answer: (E) 360 – 3 b – 2a **

**9. Correct answer: 1404 **

**Given:**

*t*^{3}* = *351

**To find: **

4*t*^{3}* *

**Solution:**

*t*^{3}* ** = *351

4*t*^{3}* *= 4 × 351 = 1404

**Answer: 1404**

**10. Correct answer: 57.5 **

**To find: **

The point that is halfway between 53 and 62 on a number line

**Solution:**

The number of units from 53 to 62 is 62 – 53 = 9

Half the number of units would be 9 ÷ 2 = 4.5

The midpoint is then 53 + 4.5 = 57.5

**Answer: 57.5**

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