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Class 6 Playing with Constructions worksheet

CBSE Mathematics. Circles, radius and diameter, rectangles and squares, their sides and diagonals. 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.

    What is the diameter of a circle of radius 5 cm?

    1. 2.5 cm
    2. 10 cm
    3. 25 cm
    4. 7 cm
    Answer

    (b) 10 cm

    2 × 5 = 10

  2. 2.

    A circle has a diameter of 32 cm. How wide must the compass be opened to draw it?

    1. 16 cm
    2. 32 cm
    3. 64 cm
    4. 17 cm
    Answer

    (a) 16 cm

    the compass opening is the radius: 32 ÷ 2 = 16

  3. 3.

    The instrument used to draw a circle is a:

    1. protractor
    2. ruler
    3. compass
    4. set square
    Answer

    (c) compass

Section B · short answer

  1. 4.

    A rectangle has a perimeter of 38 cm and a length of 14 cm. Find its width.

    Answer

    5 cm

    38 ÷ 2 = 19; 19 − 14 = 5

  2. 5.

    A square has a perimeter of 16 cm. How long is each side? What is each angle?

    Answer

    4 cm; 90°

    16 ÷ 4 = 4

Section C · long answer

  1. 6.

    Vikram has a piece of wire 130 cm long and bends it into a rectangle 62 cm long, using all of the wire. How wide is the rectangle? If it were bent into a square instead, how long would each side be?

    Answer

    3 cm wide; square side 32.5 cm

    130 ÷ 2 − 62 = 3; 130 ÷ 4 = 32.5

Fresh sheets for your child

In the app, every Playing with Constructions 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