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: (B)

Given:
6 out of 10 cars are red

To find:
Probability of selecting a red car

Solution: Topic(s): Probability

6 out of 10 cars would be

Answer: (B)

2. Correct answer: (A)

Given:
The figure AB = BC

To find:
Which of the following CANNOT be concluded

Solution: Topic(s): SSS rule

Given AB = BC

Given

The two triangles share the side BD

So, all the corresponding sides of the two triangles ABD and BDC are equal.

From the SSS rule, the two triangles are congruent; equal in shape and size, and all the corresponding angles are equal.

One way to do this type of question would be to eliminate the answers that can be concluded.

The only answer that cannot be concluded is (A)

Answer: (A) w = x

3. Correct answer: (B)

Given:
30% of m is 40

To find:
15% of m

Solution:
30% × m = 40 what is 15% × m ?

You don’t really need to solve for m. Notice that 15% is half of 30%.

So, 15% × m =

Answer: (B) 20

4. Correct answer: (E)

Given: n is any negative number

To find:
Which of the following must be positive

Solution: Topic(s): Signed operations

The negative of a negative number is positive i.e. – n would be positive.

So, 2 – n = 2 + ( – n) would be positive

Answer: (E) 2 – n

5. Correct answer: (D)

To find
Ratio 1.2 to 1 is equal to which of the following

Solution: Topic(s): Ratio

Ratio 1.2 to 1 =

Answer: (D) 6 to 5

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