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Logical Reasoning

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Hello Math Explorer! Get ready for an exciting adventure.

Each topic has fun activities and games to help you learn. Complete all sections to learn well!

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Math Adventure Complete! ๐ŸŽ‰

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Mirror Images ๐Ÿ”

Mirror images are flipped versions of objects. When you look in a mirror:

  • Left and right sides appear swapped
  • Top and bottom remain the same
  • Diagonals are reversed

For example: The letter M looks the same in a mirror, but P looks like its reflection.

P
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Mirror Images Practice ๐Ÿ”

What is the mirror image of this character?

R
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Coding & Decoding ๐Ÿ”ข

Coding is transforming words into patterns. Decoding is reversing the pattern:

  • Each letter is shifted in the alphabet
  • Patterns can be based on position (A=1, B=2, etc.)
  • Words are often reversed or transformed

Example:

EARLY โ†’ NJAUH

Decoding pattern: Each letter is shifted 9 positions forward

Coding Practice ๐Ÿ”ข

If EARLY is written as NJAUH, what would CNAV become?

CNAV โ†’ ?

Direction Sense ๐Ÿงญ

Directions are based on compass points:

  • Cardinal directions: North (N), South (S), East (E), West (W)
  • Point to remember: 90ยฐ = ยผ turn, 180ยฐ = ยฝ turn, 270ยฐ = ยพ turn

๐Ÿ” Quick Tip

Remember: anticlockwise is the opposite of clockwise!

N
S
E
W

Direction Practice ๐Ÿงญ

If you're facing North and turn 135ยฐ clockwise, which direction are you facing?

N
S
E
W

Number & Figure Patterns ๐Ÿ”ฃ

Patterns follow logical sequences:

  • Arithmetic sequences (constant difference: 5, 10, 15...)
  • Geometric sequences (constant ratio: 2, 4, 8...)
  • Alternating patterns (2, 4, 6, 5, 10, 15...)
  • Figure patterns (rotating shapes, changing elements)

Example: 128, 121, 114, __, 100 โ†’ Pattern: Subtract 7 each time

Pattern Practice ๐Ÿ”ฃ

What comes next in this sequence?

Number Relations

Numbers in shapes follow relationships:

  • Center values are derived from corner values
  • Common operations: sum, product, difference
  • Relationships may differ between figures

In the triangle: Center = (6 + 8 + 6) / 2 = 20/2 = 10

Relations Practice ๐Ÿ”บ

What number should replace the question mark?