I have finally completed the entire set of video explanations to all three PowerPrep Plus Online tests released by ETS. The first two PowerPrep Plus tests 1 and 2 were released in 2017, and PowerPrep Plus test 3 was released in 2019. Section 3 is the first quantitative reasoning section in each of the PowerPrep Plus tests and this is the same for all test takers. Depending on how well you do on Section 3, you will be assigned an Easy, Medium, or Hard category in Section 5. This means there are a total of four sections in each PowerPrep Plus test and that comes out to 80 unique quantitative reasoning questions. In all there are 240 quantitative reasoning questions in the three PowerPrep Plus tests. Of course, when you take these tests individually you will only see 120 of the questions.

## Why I recommend practicing with official GRE questions?

The following image summarizes why I recommend students to solely practice with official GRE questions.

## PowerPrep Plus Online: Release of Practice Test 3

ETS the organization behind the GRE tests has released a new third practice test which is part of the PowerPrep Plus Online software in July 2019. This new test can be purchased directly from ETS at this link: Practice Test 3: PowerPrep Plus Online. The test is priced at $\$39.95$.

## Similar triangles and area: GRE Math Practice Question#65

Try this GRE question that tests your understanding of finding areas of shaded regions, and also on how the areas of similar triangles are related to the ratios of lengths of the corresponding sides of the two triangles.

In the triangle $ABC$ shown above the line segments $BA$, $DE$, and $FG$ are parallel to each other. The lengths of segments $BD$, $DF$ and $FC$ are in the ratio of $1$ to $2$ to $3$. What is the ratio of the area of the shaded region to the area of the unshaded region in triangle $ABC$ ?

- $\quad \dfrac{16}{27} $
- $\quad \dfrac{3}{4} $
- $\quad \dfrac{4}{5} $
- $\quad \dfrac{5}{6} $
- $\quad \dfrac{8}{9} $

## Statistics and averages: GRE Math Practice Question#64

Try this GRE question that tests your ability to manipulate the equation of average (arithmetic mean) of a large set of numbers.

After finding the average of $35$ scores, a student carelessly included the average with the $35$ scores and found the average of these $36$ numbers. The ratio of the second average to the true average was

- $\quad 1:1 $
- $\quad 35: 36 $
- $\quad 36: 35 $
- $\quad 2: 1 $
- $\quad \textrm{None of the above} $

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