Both choices (C) and (E) are correct answers to question 59 (page 70) in the Math section of the first practice test in the newly published Official ACT Prep Guide 2016. I have reproduced the entire question along with my video explanation that clarifies this mistake.

Practice Test #1: Question 59 Mathematics

In scalene triangle $\triangle GHI$ shown below, point $J$ lies on side $\overline{HI}$, $\overrightarrow{GJ}$ bisects $\angle HGI$ such that $\angle HGJ$ and $\angle IGJ$ each measure $\theta$, and the given lengths $a$, $b$, $c$, $d$, and $e$ are in inches and are distinct. For all possible values of $\theta$, the area of $\triangle GHJ$ is what fraction of the area of $\triangle GHI$ ?

1. $\dfrac{1}{2}$
2. $\dfrac{a}{b}$
3. $\dfrac{d}{d+e}$
4. $\dfrac{ad \sin{\theta}}{b(d+e)\sin{2\theta}}$
5. $\dfrac{c \sin{\theta}}{b \sin{2 \theta}}$

The new Official ACT Prep Guide, 2016 – 2017 1st Edition has been released in May 2016. This is the first major update to the Official ACT guide since 2011 and this guide is a complete disappointment. All my comments below are based on the analysis of the math section of the guide.

• The number of practice tests in this guide is 3, compared to the 5 in the 2011 Real ACT Guide. Students need more practice tests, not fewer.

• The practice tests are a patchwork of questions from the the 5 tests in the Real ACT Guide and recently released ACT tests from 2015.

• First Practice Test: The math section in the first practice test in the guide has around 40 questions from the June 2015 ACT test (Form 73C), and the remainder are a combination of new questions and questions from the five tests in the Real ACT Guide.

• Second Practice Test: Half of the math questions are from the Test#2 from Real ACT guide and the remainder are either new or from the other tests in the Real ACT guide.

• Third Practice Test: Half of the math questions are from April 2015 ACT test (Form 73G) and the rest are from Test#4 from the Real ACT Guide.

• Because they have reused part of the tests that are in the older Real ACT guide, this makes the practice tests in the older guide useless. I don’t know if this was done deliberately to ensure “planned obsolescence” of the older guide.

My final recommendation would be to use the April and June 2015 ACT tests on their own, and use the five practice tests in the Real ACT Guide, 3rd Edition for additional practice. I do not recommend buying this guide.

As I have said before, this analysis is based on the math section only, but I am pretty certain it will be mirrored in the remaining sections of the tests as well. I will leave it to others to analyze those sections.