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.
1. Correct answer: (E)
2, 6, 14, 30, …
The 1 st term is 2
Each number after the first is obtained by adding 1 to the preceding number and then doubling the result
The 6th number in the sequence
Topic(s): Number sequence problems
We can continue by calculating the 5th term from the 4th term and so on
5th term: 2(30 + 1) = 62
6th term: 2(62 + 1) =126
Answer: (E) 126
2. Correct answer: (E)
a(x + y) = 45
ax = 15
The value of ay
Topic(s): Isolate variable
a(x + y) = 45
ax + ay = 45
15 + ay = 45
ay = 30
Answer: (E) 30
3. Correct answer: (B)
The figure of the speedometer
The speed in miles per hour, indicated by the needle position
Looking at the miles per hour speedometer, we find that the values from 30 to 60 are divided into 4 segments.
This means that each segment is = 7.5 miles per hour.
The needle is at the first segment after 30. So, it is at 30 + 7.5 = 37.5
Answer: (B) 37.5
4. Correct answer: (C)
The number of different positive 3-digit integers that can be formed if the three digits 4, 5, and 6 must be used in each of the integer
We can use the permutation formula. The number of possible ways to arrange 3 digits would be 3 × 2 × 1 = 6
Answer: (C) 6
5. Correct answer: (B)
Each rectangular face has area r
Each triangular face has area t
The total surface area in terms of r and t
In the figure, there are 3 rectangular faces and 2 triangular faces.
The total surface area is 3r + 2t
Answer: (B) 3r + 2t
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