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)
6 out of 10 cars are red
Probability of selecting a red car
Solution: Topic(s): Probability
6 out of 10 cars would be
2. Correct answer: (A)
The figure AB = BC
Which of the following CANNOT be concluded
Solution: Topic(s): SSS rule
Given AB = BC
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)
30% of m is 40
15% of m
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
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)
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
We welcome your feedback, comments and questions about this site - please submit your feedback via our Feedback page.