CBSE Class 6 · Computational Thinking · 2026-27

Playing with Constructions: Worksheet

Skills: Algorithmic thinking, Abstraction, Decomposition. Circle the correct answer. Show your working in the space beside each question.

To draw a circle with a diameter of 10 cm, how wide should you open the compass?
- (a) 10 cm
- (b) 5 cm
- (c) 20 cm
- (d) 2.5 cm
Which set of steps correctly constructs a 6 cm × 4 cm rectangle?
- (a) Draw a 6 cm base, draw right angles at both ends, mark 4 cm up each, join the tops
- (b) Draw four lines of any length and join their ends
- (c) Draw a circle first, then draw one line across it
- (d) Mark 4 cm, then measure any angle at one end
All the points that are exactly 3 cm from a point O make which shape?
- (a) A line
- (b) A square
- (c) A circle
- (d) A triangle
Which statement is NOT true for every square?
- (a) All sides are equal
- (b) All angles are 90°
- (c) The two diagonals are equal
- (d) Each diagonal is the same length as a side
Two circles each have radius 5 cm, and their centres are 5 cm apart. At how many points do they cross?
- (a) 0
- (b) 1
- (c) 2
- (d) Infinitely many
What is always true about the two diagonals of a rectangle?
- (a) They are equal in length
- (b) They are always at right angles
- (c) They are as long as the sides
- (d) They are never equal

Answer key: Playing with Constructions

(b) 5 cm – Open the compass to 5 cm.
(a) Draw a 6 cm base, draw right angles at both ends, mark 4 cm up each, join the tops – Marking 4 cm on each and joining gives the fourth side, so all angles are 90°.
(c) A circle – That is a circle with centre O and radius 3 cm.
(d) Each diagonal is the same length as a side – So “each diagonal is the same length as a side” is not true.
(c) 2 – At 5 cm apart they overlap and cross at 2 points.
(a) They are equal in length – So the true statement is: they are equal in length.