Let's start with the basics of angles.

Angles are essentially the slant of something.

Below are examples of what angles look like. You don't necessarily need to know the names of the types of angles (although it’s useful to know), but that they:

• Measure the degree of things – look at the shaded areas.
• A full angle is 360 and that's the "whole circle".
• They are a fraction of the whole circle.

Within abstract reasoning angles appear quite a bit:

• In shapes – they are a component of a shape transformation. Think about a parallelogram (with wider angles) to a diamond (with sharper angles), or a diamond to a kite.
• In direction and positioning – if you've got something that's moving anticlockwise on each corner of a square, you've got an angle movement of 90 degree each time starting at North West.

In this checkpoint we discover a new type – when angles change their degree e.g. increasing degree, decreasing degree, repeating degree.

Angles themselves can also form patterns such as:

• Increasing or decreasing by x degrees each time for example, increasing by 45 degrees for each movement or reducing by 90 degrees each time.
• They can fractionalize a full image with their angles by increasing or decreasing the portion available for viewing.

Because abstract reasoning involves visual pattern detection, let’s apply this to the following question/s.

Example Question/s

Watch video for explanation of the following question/s:

Source: NSW Schools

Key Rules to remember

• Increasing or decreasing by x degrees each time for example, increasing by 45 degrees for each movement or reducing by 90 degrees each time.
• They can fractionalize a full image with their angles by increasing or decreasing the portion available for viewing.

Practice time!

Now, it's your turn to practice.

Click on the button below and start your practice questions. We recommend doing untimed mode first, and then, when you're ready, do timed mode.

Every question has two solutions videos after you complete the question. The first is a quick 60 second video that shows you how our expert answers the question quickly. The second video is a more in-depth 5-steps or less explainer video that shows you the steps to take to answer the question. It's really important that you review the second video because that's where you'll learn additional tips and tricks.

Once you're done with the practice questions, move on to the next checkpoint.

Now, let’s get started on your practice questions.

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