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.
11. Correct answer: (B)
The rectangle ABCD is made up of 7 non-overlapping rectangles
The 2 smallest rectangles have the same area
Each of the other rectangles has twice the area of the next smaller rectangle
The area of the shaded rectangle is what fraction of the area of the rectangle ABCD
Solution: Topic(s): Area of rectangle
Fill up the rectangle, each time reducing the area by half.
12. Correct answer: (B)
2x < y < 0
The answer that is the greatest value
Solution: Topic(s): Signed operations
We can choose any values for x and y that is true for the inequality.
2x < y < 0
Choose y = – 1 and x = – 2.
Test each of the answers. Be careful about the signed operations.