Class 5 Maths Chapter 10, Symmetrical Designs, explores reflection symmetry (lines of symmetry) and rotational symmetry (quarter-turn and half-turn symmetry) through paper-folded alphabet cutouts, DIY paper windmills (firki) and tile design puzzles.
What Class 5 Mathematics Chapter 10 Covers
Alphabet Cutouts & Lines of Reflection Symmetry folds paper once (vertically or horizontally) or twice (into quarters) to cut symmetrical letters like A, H, E, M, T, V, X and O, identifying shapes with one, two or multiple lines of symmetry.
Making a Windmill (Firki) & Rotational Symmetry constructs a spinning paper firki that looks identical after every quarter turn (1/4 turn) and half turn (1/2 turn), comparing figures that have reflection symmetry, rotational symmetry, or both.
Exercises in Chapter 10
- Let Us Do, Let Us Think, and Let Us Solve practice exercises.
- Interactive number games, visual grids, and hands-on puzzles.
Read Class 5 Mathematics Chapter 10 Online
More Chapters
- Previous: Chapter 9: Coconut Farm
- Next: Chapter 11: Grandmother’s Quilt
- Hindi medium: Class 5 Maths Chapter 10 PDF in Hindi (Ganit Mela)
- All Mathematics chapters and the other Class 5 books: Class 5 NCERT books 2026-27
- All Class 1 to 12 NCERT Textbooks: NCERT Books PDF (Class 1–12)
- Every book chapter by chapter: NCERT chapter wise PDF
FAQ
Why can the letter ‘H’ be cut out by folding a sheet of paper into one-fourth?
Because the letter ‘H’ has both a vertical line of symmetry and a horizontal line of symmetry (two lines of symmetry).
Does a paper windmill (firki) have reflection symmetry or rotational symmetry?
A paper windmill (firki) looks the same after a 1/4 turn and a 1/2 turn, so it has rotational symmetry, but its folded blades do not match upon mirror reflection.