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Class 6 Symmetry worksheet

CBSE Mathematics. Lines of symmetry, rotational symmetry and angles of symmetry, letters and designs. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheetCheat sheet: formulas and key points

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    How many lines of symmetry does a regular hexagon have?

    1. 5
    2. 6
    3. 7
    4. 12
    Answer

    (b) 6

    a regular shape with 6 sides has 6 lines of symmetry

  2. 2.

    What is the smallest angle of rotational symmetry of a regular hexagon?

    1. 60°
    2. 30°
    3. 90°
    4. 61°
    Answer

    (a) 60°

    360° ÷ 6 = 60°

  3. 3.

    How many lines of symmetry does a square have?

    1. 2
    2. 1
    3. 4
    4. 8
    Answer

    (c) 4

    2 through the middles of the sides, 2 along the diagonals

Section B · short answer

  1. 4.

    Write the three smallest angles of rotational symmetry of an equilateral triangle.

    Answer

    120°, 240°, 360°

    multiples of 360° ÷ 3 = 120°

  2. 5.

    A figure has a smallest angle of symmetry of 120°. How many times does it look the same during one full turn?

    Answer

    3

    360° ÷ 120° = 3

Section C · long answer

  1. 6.

    A rangoli design has 4 identical petals around its centre. It looks the same after each turn of the same size. What is the smallest such turn, and how many lines of symmetry does it have if every petal is symmetrical?

    Answer

    90°; 4 lines

    360° ÷ 4 = 90°; one line through each petal

Fresh sheets for your child

In the app, every Symmetry sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

Coming soon for Android and iPhone.

More Class 6 Mathematics