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.
16. Correct answer: (E)
What happens to the value of y when both x and z are doubled
Double x and z
Answer: (E) y is multiplied by 4
17. Correct answer: (B)
The value of the automobile n years from the date of purchase is
The number of years from the date of purchase when the value of the automobile will be $3,200
Answer: (B) Two
18. Correct answer: (D)
The figure showing how three wires are braided
The numbered step when the braid repeat the original order A, B,
The orders of the braids are as follows:
The braid repeats the original order at step 6.
Answer: (D) 6
19. Correct answer: (E)
A set of eleven different numbers
Which of the following will not affect the value of the median
If the eleven different numbers were to be arranged in order, the median would be the 6th number.
We would have to determine which of the answers would not change the median.
(A) Doubling each number. (The median is also doubled)
(B) Increasing each number by 10. (The median is also increased by 10)
(C) Increasing the smallest number only. (The median would be changed if the smallest number was increased such that it becomes bigger than the 6th number)
(D) Decreasing the largest number only. (The median would be changed if the largest number was decreased such that it becomes smaller than the 6th number)
(E) Increasing the largest number only. ü (Increasing the largest number would not affect the median)
20. Correct answer: (B)
SBT is one quarter of a circle with center R and radius 6
Length plus width of rectangle ABCR = 8
Perimeter of the shaded region
Topic(s): Circumference of circle
Length of arc ST =
Given AR + RC = length + width = 8
SR + RT = 6 + 6 = 12
SA + CT = SR + RT – (AR + RC) = 12 – 8 = 4
AC = BR = radius of circle = 6
Perimeter of shaded region = 6 + 4 + 3π = 10 + 3π
Answer: (B) 10 + 3π
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