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.
6. Correct answer: (A)
A machine mints coins at the rate of one coin per second
It does this for 10 hours each day
The number of days it will take the machine to mint 360,000 coins
10 hours = 10 × 60 × 60 = 36,000 seconds
In one day, it produces 36,000 coins.
So, it would take 10 days to produce 360,000 coins
Answer: (A) 10
7. Correct answer: (C)
The average of x and 3x is 12
The value of x
Answer: (C) 6
8. Correct answer: (C)
Some members on the chess club are on the swim team
No members of the swim team are 10 th graders
There is no calculation here, only some logical thinking
The given conditions mean that if a member belongs to both the chess club and the swim team he could not be in the tenth grade.
Therefore, “Some members in the chess club are not tenth graders.”
Answer: (C) Some members in the chess club are not tenth graders
9. Correct answer: (D)
3x + n = x + 1
n in terms of x
Topic(s): Isolate variable
3x + n = x + 1
n = x + 1 − 3x = 1 − 2x
Answer: 1 − 2x
10. Correct answer: (E)
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