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: 10
2 circles with same center
Shaded area = 64π
The smaller circle has a radius of 6
The radius of the larger circle
Topic(s): Area of circle
Let r be the radius of the bigger circle
Shaded area = Area of bigger circle – area of smaller circle
17. Correct answer: 8
p, r and s are 3 different prime numbers greater than 2
n = p × r × s
The number of positive factors of n, including 1 and n
The positive factors of n are
1, n, p, r, s, pr, ps, and sr
There are 8 factors
18. Correct answer: 70
h(t)= c – (d – 4t)2
At t = 0, the height = 6
At t = 2.5, the height = 106
The height of the ball at time t
Substitute t = 0 and h(t) = 6
6 = c – d2 (equation 1)
Substitute t = 2.5 and h(t) = 106
Replace c – d 2 by 6 (from equation 1)
To find height at t =1.
Substitute equation 1 and equation 2 into equation 3
h(1) = 6 + 8(10) – 16 = 70
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