[ CBSE CLASS 6 / COMPUTATIONAL THINKING / CHAPTER 8 / 2026-27 ]

Class 6 Playing with Constructions: Computational Thinking Questions and Answers

The Playing with Constructions CT chapter treats a geometric construction as a precise set of steps with a ruler and compass. Writing and following those steps in order is algorithmic thinking; knowing what a circle or square “must” have is abstraction.

Practise 6 questions Printable worksheet
Skills: Algorithmic thinking · Abstraction · Decomposition · Linked to Ganita Prakash Chapter 8: Playing with Constructions

[ WORKED EXAMPLE ]

To draw a circle with a diameter of 10 cm, how wide should you open the compass?

Answer: 5 cm.

  1. The radius is half the diameter.
  2. 10 ÷ 2 = 5.
  3. Open the compass to 5 cm.

What this chapter is about

Students draw circles, squares and rectangles with a compass and ruler, and make designs from arcs.

Every construction is an algorithm: do the steps in the right order and the shape comes out exact every time.

Students reason about properties (equal sides, right angles, equal diagonals) instead of trusting how a drawing looks.

[ PRACTICE MODE / 6 QUESTIONS ]

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AbstractionQuestion 1 of 6 · Score 0

To draw a circle with a diameter of 10 cm, how wide should you open the compass?

Choose one answer

All Playing with Constructions questions with answers

Try each one first, then open it to check the answer and the reasoning.

Q1To draw a circle with a diameter of 10 cm, how wide should you open the compass?
  • 10 cm
  • 5 cm
  • 20 cm
  • 2.5 cm

Answer: B. 5 cm

Hint: The compass opening is the radius.

  1. The radius is half the diameter.
  2. 10 ÷ 2 = 5.
  3. Open the compass to 5 cm.

Skill: Abstraction · Level: easy · Report an error

Q2Which set of steps correctly constructs a 6 cm × 4 cm rectangle?
  • Draw a 6 cm base, draw right angles at both ends, mark 4 cm up each, join the tops
  • Draw four lines of any length and join their ends
  • Draw a circle first, then draw one line across it
  • Mark 4 cm, then measure any angle at one end

Answer: A. Draw a 6 cm base, draw right angles at both ends, mark 4 cm up each, join the tops

Hint: A rectangle needs the right lengths and right angles at every corner.

  1. Start with an exact 6 cm base.
  2. Right angles at both ends make the sides upright.
  3. Marking 4 cm on each and joining gives the fourth side, so all angles are 90°.

Skill: Algorithmic thinking · Level: medium · Report an error

Q3All the points that are exactly 3 cm from a point O make which shape?
  • A line
  • A square
  • A circle
  • A triangle

Answer: C. A circle

Hint: Imagine a compass fixed at O and opened to 3 cm.

  1. Every point the pencil touches is 3 cm from O.
  2. Those points form a closed round curve.
  3. That is a circle with centre O and radius 3 cm.

Skill: Abstraction · Level: easy · Report an error

Q4Which statement is NOT true for every square?
  • All sides are equal
  • All angles are 90°
  • The two diagonals are equal
  • Each diagonal is the same length as a side

Answer: D. Each diagonal is the same length as a side

Hint: Draw a square and measure a diagonal against a side.

  1. Squares always have equal sides, right angles and equal diagonals.
  2. A diagonal cuts across the square, so it is longer than a side.
  3. So “each diagonal is the same length as a side” is not true.

Skill: Abstraction · Level: medium · Report an error

Q5Two circles each have radius 5 cm, and their centres are 5 cm apart. At how many points do they cross?
  • 0
  • 1
  • 2
  • Infinitely many

Answer: C. 2

Hint: The centres are closer than the two radii added together (10 cm).

  1. If centres are more than 10 cm apart, the circles do not meet.
  2. If exactly 10 cm apart, they touch at 1 point.
  3. At 5 cm apart they overlap and cross at 2 points.

Skill: Abstraction · Level: challenge · Report an error

Q6What is always true about the two diagonals of a rectangle?
  • They are equal in length
  • They are always at right angles
  • They are as long as the sides
  • They are never equal

Answer: A. They are equal in length

Hint: Measure both diagonals of your notebook.

  1. A rectangle’s diagonals always have the same length.
  2. They meet at right angles only if the rectangle is a square.
  3. So the true statement is: they are equal in length.

Skill: Abstraction · Level: easy · Report an error

Frequently asked questions

What does the Class 6 Playing with Constructions Computational Thinking chapter cover?

The Playing with Constructions CT chapter treats a geometric construction as a precise set of steps with a ruler and compass. Writing and following those steps in order is algorithmic thinking; knowing what a circle or square “must” have is abstraction.

Which computational thinking skills does Playing with Constructions use?

Playing with Constructions mainly practises algorithmic thinking, abstraction, decomposition. It links to Ganita Prakash Chapter 8: Playing with Constructions.

Where are the official CBSE Playing with Constructions questions?

The official questions are in the CBSE Class 6 Computational Thinking and AI handbook for 2026-27, free on the CBSE Academic website. The practice on this page is original and mapped to the same chapter.

More Class 6 chapters