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 measure of
Topic(s): Supplementary angles
80 + x + x = 180 (supplementary angles)
2x = 100
x = 50
Answer: (B) 50º
12, Correct answer: (C)
k is a positive integer
The least value of k for which
We can substitute in the values for k starting from the smallest value.
Answer: (C) 15
13. Correct answer: (C)
A figure showing 3 pieces of cardboard
Which of the following figures could be made from the 3 pieces of cardboard
In order for a figure to be made from the 3pieces of cardboard, the area of the figure must be the sum of the areas of the 3 pieces of cardboard.
Area of the 3 pieces of cardboard:
If we count the number of small squares, we would get 1 + 5 + 3 = 9
Yes, we find that the 3 pieces of cardboard can form the shape in II
Answer: (C) II only
14. Correct answer: (D)
The number of integers greater than 20 and less than 30 that are the product of exactly 2 different numbers, both of which are prime
We have to test all the nine numbers from 21 to 29:
Answer: (D) Three
15. Correct answer: (A)
The figure of a right triangle
The value of 49 + x2
Topic(s): Pythagoras theorem
Since it is a right triangle, we can use Pythagoras theorem
Substitute x2 = 1
49 + x2 = 49 + 1 = 50
Answer: (A) 50
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