HTET /Reasoning Ability

Figure series

Non-Verbal & Puzzles · free study notes

Figure Series – Quick & Easy Study Guide

For the HTET – Reasoning Ability (Figure Series)


1. What Is a Figure Series?

  • Definition: A figure series is a set of shapes that change in a predictable way from one picture to the next.
  • Goal: Find the missing figure (or the next one) by spotting the rule that connects all the pictures.

Analogy: Imagine a row of colored beads on a string. If the beads change color every time you add one, the rule is “alternate colors.” The figure series is the same idea for shapes, sizes, positions, etc.


2. How to Approach a Figure Series

Step What to Do Quick Tip
1️⃣ Look at the whole row Treat it like a sentence – read it from left to right.
2️⃣ Identify common elements Do all figures have a circle? Are they all squares?
3️⃣ Note how each element changes Size, orientation, number of parts, color, position.
4️⃣ Find one rule that fits all changes Prefer the simplest rule that explains everything.
5️⃣ Apply the rule to get the missing figure Check if the result matches all other options.
6️⃣ Double‑check Make sure no other rule fits better.

3. Common “Rule” Types (No Jargon)

Rule Type What It Means Everyday Analogy
Size change Figures get bigger or smaller. Growing plants.
Rotation Figures turn clockwise or counter‑clockwise. Turning a TV remote.
Number of parts Pieces added or removed. Adding more boxes to a pile.
Color change Colors shift (red→blue, etc.). Changing a light bulb’s color.
Position shift Move left, right, up, down. Sliding a book on a shelf.
Shape transformation Circle→square→triangle. A shape morphing in a cartoon.
Combination of two Size + rotation simultaneously. A spinning top that grows.

4. Tiny Example (With ASCII Art)

Series:

1.  O     2.  O   3.  O   4.  ?
       (small)  (medium)  (large)  (huge)
Figure Size
1 Small circle
2 Medium circle
3 Large circle
4 Huge circle

Rule: “Increase size by the same amount each step.”
Answer: A huge circle (choose the option that shows a circle larger than the third).


5. Quick “Rule‑Finding” Checklist

  1. Count the parts – how many separate pieces are there?
  2. Spot the orientation – are shapes pointing up, down, left, right?
  3. Check the color – does one color appear more often?
  4. Look for symmetry – do the figures mirror each other?
  5. Notice the background – sometimes the background changes (solid → dotted).

If you finish the list and still can’t find a rule, try reversing the series (look from right to left). That sometimes makes the pattern clearer.


6. Practice Tips

Tip Why It Helps
Draw it out Seeing the shapes on paper can reveal hidden patterns.
Use a table List attributes (size, color, parts) row by row.
Try “what if” Imagine the next figure if the rule continues.
Eliminate impossible options If an option breaks the rule, drop it.
Time yourself In exams you’ll have limited seconds – the simpler the rule, the faster you solve.

7. One More Mini‑Practice

Series

A.  ▫️   B.  ▫️▢   C.  ▫️▢▢   D.  ?
Figure Parts
A 1 square
B 2 squares
C 3 squares
D 4 squares

Rule: “Add one more square each time.”
Answer: Option D (the figure with 4 squares).


8. Quick Recap

  1. Read the row – treat it like a story.
  2. Spot the common elements – shape, size, colour, number.
  3. Find the simplest rule – always prefer the rule that explains everything.
  4. Apply & check – test all choices; pick the one that follows the rule.
  5. Practice – the more you see patterns, the faster you’ll solve them.

Happy solving! 🚀

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