# DAT PAT Guide

## Angle Ranking (AR) Questions

#### What is an angle ranking problem?

Angle ranking problems are the **third group of problems** that appear on the perceptual ability test (PAT) of the dental admissions test (DAT) and comprise **Items 31-45**. For each angle problem, you will be shown four different angles, labeled 1, 2, 3, and 4. Your task is to rank the angles from SMALLEST to LARGEST and select the answer with the correct ranking.

Angles must be viewed by their inner angles - i.e. by the smallest angle formed by the two intersecting “arms” shown.

All angles differ by at least one degree. As such, there is only one correct angle ranking and only one correct answer choice.

Angles can be turned in different directions and shown with different “arm” lengths. Some angles may even have “asymmetrical arms,” with one arm being shorter than the other. None of this should change the way the angle measurement is interpreted.

Note: Directions given on test day may be formatted differently, but objectives are the same.

#### Example problem

Here is a typical angle ranking problem you’d encounter on your DAT, along with an Erudition-style explanation to help you understand how to solve it.

You can **start by looking for obvious outliers**. It is easiest to see that **angle 4 is the largest**. Notice that it is closest to a right angle, whereas the other angles look more acute. This allows you to eliminate Choice D.

It may be easiest to **compare angles 1 and 3 next**, **since they are oriented the same way**; notice that** angle 3 is narrower** towards its tip and is therefore the smallest angle. This lets you eliminate Choice B.

You still need to **compare angles 1 and 2**. Since angle 1 has uneven legs, try** looking at an area where they both have legs.** And, it might help to **turn your head** to view each angle from a similar perspective/straight on. This will make it easier to see that** angle 2 is more open**, and you can eliminate Choice C, and Choice A is correct.

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#### AR tips & strategies!

Look for obvious outliers first, and eliminate answer choices immediately, based on these.

For acute angles, make sure you’re** focusing on areas that are equidistant from the angles’ tips** when you’re comparing angles. You may find it’s easier to focus a little closer towards the tip; *or start from the tip and move outwards* if if helps you to see which angles are opening faster.

For large acute or near-right angles, try **comparing the angles to right angles** in your head. Sometimes it can also help to compare angles that are oriented similarly first.

For problems containing angles with uneven legs,** compare angles only in the areas where all angles have arms**. For instance, for the example below, just look at the regions near the tip where all angles have arms, and focus in this area to compare angles.

For obtuse angles arranged similarly to this, **try visualizing them as reclining chairs** to more easily see which is more open. You can try to visualize other angles or their arms as objects - like mountain slopes or scissors - if it helps you better perceive differences.

## ... And more! You’ll find a lot more great angle ranking TIPS and strategies in our course videos and individual problem explanations!

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#### More information on PAT problems

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