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Abstract Reasoning in Philippine College Entrance Exams

How abstract reasoning works in Philippine college entrance exams like the PLMAT and PUPCET: 6 patterns, worked examples, and a fast way to solve them.

Mariano Luiz King

Mariano Luiz King

Published November 6, 2026 · Updated November 9, 2026

Colorful magnetic tangram pieces, triangles, a square, and parallelograms, arranged on a dark board
Photo by Fumikas Sagisavas, CC0 1.0, via Wikimedia Commons. An illustration only, not real test material.

Abstract reasoning questions show you a series of shapes and ask what comes next, or which one doesn't belong. In the Philippines, they're part of several college entrance exams, like the PLMAT and PUPCET. They look random at first, but most of them use the same few rules: things rotate, move, add up, alternate, or get mirrored. This post shows those patterns with original examples, and a checklist for spotting them fast.

After reading this, you can solve a basic abstract reasoning question by checking the patterns in a fixed order instead of staring at it.

Which Philippine entrance exams have abstract reasoning

Each of these is one university's own admission test:

ExamWhere it shows up
PLMAT (Pamantasan ng Lungsod ng Maynila Admission Test)Its own section, 30 items in 10 minutes
PUPCET (Polytechnic University of the Philippines College Entrance Test)Its own section
USTET (University of Santo Tomas Entrance Test)Inside the 80-item Mental Ability subtest
ACET (Ateneo College Entrance Test)Inside Mental Ability and Reasoning, as "shapes and patterns"

The schools don't publish detailed exam content. So the item counts, time limits, and question types here come from people who've taken these tests.

I took the PLMAT myself, a few cycles ago, but I don't remember its specific questions. And I wouldn't share them if I did. Every example below is one I made for this post. None are copied from a real exam.

Why speed matters more than difficulty

On the PLMAT, 30 items in 10 minutes gives you 20 seconds per question. Most abstract reasoning questions aren't hard once you see the rule. The problem is finding the rule fast.

That's why a fixed checklist helps. Instead of looking at everything at once, you check one thing at a time and stop when you find it.

Pattern 1: Rotation

Something turns by the same amount each step.

Five boxes in a row. An arrow points up in box 1, up-right in box 2, right in box 3, and down-right in box 4. Box 5 is a question mark.

What's in box 5? The arrow turns 45° clockwise each step: up, up-right, right, down-right. So box 5 is an arrow pointing straight down.

How to check: pick one end of the shape (the arrowhead here) and follow it box to box. If it moves the same amount each time, it's rotation. Watch the direction. A common trap is an answer choice that turned the right amount but the wrong way.

Pattern 2: Counting

Something increases or decreases by a fixed number. It can be sides, dots, lines, or shaded parts.

Five boxes in a row: a triangle, a square, a pentagon, a hexagon, and a question mark.

What's in box 5? Count the sides: 3, 4, 5, 6. Each step adds one side, so box 5 is a shape with 7 sides (a heptagon).

How to check: count everything countable. Sides, corners, dots, lines, and enclosed spaces. Write the numbers down if you need to. If they go up or down by the same step, you've found it.

Pattern 3: Movement

Something slides to a new position each step, often around the corners or edges of the box. It can also move one square at a time across a grid.

You'll see movement in the next example, combined with another rule.

Pattern 4: Alternating

Two things take turns: circle, square, circle, square. Or shaded, unshaded, shaded.

Pattern 5: Two rules at once

Harder questions combine two simple rules. Most people get stuck because they find one rule and pick an answer that only fits that one.

Five boxes in a row. Box 1 is a circle with a dot at the top-left corner. Box 2 is a square with a dot at the top-right. Box 3 is a circle with a dot at the bottom-right. Box 4 is a square with a dot at the bottom-left. Box 5 is a question mark.

What's in box 5? There are two rules here:

  1. The big shape alternates: circle, square, circle, square. So box 5 is a circle.
  2. The small dot moves clockwise around the corners: top-left, top-right, bottom-right, bottom-left. So box 5 has the dot back at top-left.

The answer is a circle with the dot at the top-left. It looks the same as box 1, which is a nice check. Patterns that loop often come back to the start.

In a real exam, the wrong choices would include a square with a top-left dot, and a circle with the dot somewhere else. Each of those fits one rule but not both.

Pattern 6: Mirror images and "odd one out"

Two other question types show up in reviewers and practice sets:

  • Mirror images. You pick how a figure looks when flipped over a line. Here's the trick: a flip changes left and right (or top and bottom), but a rotation doesn't. If an answer choice could be made by just turning the figure, it's not a mirror image.
  • Odd one out. Four figures follow a rule and one doesn't. Use the same checklist below. The odd one is the figure that breaks the count, rotation, or symmetry the others share.

The 20-second checklist

When you see a series, check in this order and stop as soon as something fits:

  1. Count: sides, dots, lines, shaded parts. Do they go up or down by a fixed step?
  2. Rotate: follow one end of a shape. Does it turn the same amount each time?
  3. Move: does a small part change position the same way each time?
  4. Alternate: do two things take turns?
  5. Combine: if one rule explains part of it but not all, look for a second rule.

Then eliminate answer choices instead of drawing the answer yourself. If the rule says the dot must be top-left, cross out every choice where it isn't. That's usually faster than imagining the full figure.

If you can't find a rule in about 20 seconds, guess, mark it, and move on. Spending a minute on one item can cost you three easier ones.

Common mistakes

  • Stopping at the first rule. In the third example, the alternating circle and square jump out first. The moving dot is easy to miss. One rule that fits part of the series is not proof you're done.
  • Mixing up rotation and mirroring. A turned figure and a flipped figure can look alike at a glance. Check which way the "ends" point.
  • Turning the wrong way. If a shape turns 45° clockwise each step, a choice that turned 45° counterclockwise is the trap.
  • Over-thinking. Most rules are simple. If your rule needs three exceptions, it's probably the wrong rule.

How to practice

  • Use a timer. Practice at 20 to 30 seconds per item, since that's the PLMAT's pace.
  • Say the rule out loud after each answer: "rotates 45° clockwise." If you can't say it, you guessed.
  • Practice the question types, not the same questions. Repeating the same set teaches you the answers, not the patterns.

I built prepPH, so I'm biased, but this is why it has an Abstract Reasoning deck with image questions: figure sequences, odd one out, mirror images, and domino patterns. It's included in the practice for the ACET, DCAT (De La Salle College Admission Test), USTET, PLMAT, and PUPCET.

My verdict

Abstract reasoning is the most learnable section on most entrance tests. There's no content to memorize, just a short list of rules. Learn the checklist, practice with a timer, and the 20 seconds per item stops feeling impossible.

Frequently Asked Questions

What is abstract reasoning in an entrance exam?

It's a set of questions using shapes instead of words or numbers. You find the rule behind a series of figures and pick what comes next, or which figure doesn't belong.

Does the UPCAT have abstract reasoning?

No. The UPCAT's four subtests are Language Proficiency, Reading Comprehension, Science, and Math.

How many abstract reasoning items are in the PLMAT?

About 30 items in 10 minutes. PLM doesn't publish official item counts.

How do you answer abstract reasoning questions fast?

Check one rule at a time: count, rotate, move, alternate, then look for a second rule. Eliminate answer choices instead of drawing the answer yourself.

Can you improve at abstract reasoning?

Yes. The question types repeat, so timed practice on many different items helps you spot the rules faster.

Practice figure questions on the free abstract reasoning reviewer, or take full mock questions with the PLMAT reviewer or PUPCET reviewer.

Sources

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