CBSE Class 6 Mathematics Playing with Constructions MCQs Set B

Question. What is the length of the side of a square with an area of 64 cm²?
(a) 8 cm
(b) 6 cm
(c) 4 cm
(d) 12 cm

Answer: A

Question. Which tool can be used to measure the length of a line segment?
(a) Compass
(b) Protractor
(c) Divider
(d) Rulercorrec

Answer: D

Question. What is the method used to divide a rectangle into identical squares?
(a) Measuring diagonals
(b) Using a protractor
(c) Drawing parallel lines
(d) Folding the paper

Answer: C

Question. In a rectangle PQRS, the line segments PR and QS are called ________.
(a) medians
(b) bisectors
(c) diagonals
(d) heights

Answer: C

Question. The shortest distance between two points is called ______.
(a) line segment
(b) line
(c) ray
(d) point

Answer: A

Question. Which of the following shapes has equal diagonals that bisect each other at right angles?
(a) Rectangle
(b) Parallelogram
(c) Square
(d) Trapezium

Answer: C

Question. Which instrument is primarily used to measure angles?
(a) Compass
(b) Divider
(c) Protractor
(d) Ruler

Answer: C

Question. For a rectangle, which of the following is true about its two diagonals?
(a) They are always unequal
(b) They are equal in length
(c) They are perpendicular
(d) They are equal only if it is a square

Answer: B

Question. A square rotated at an angle is still a square because
(a) The sides become unequal
(b) It turns into a rhombus
(c) The shape changes to a rectangle
(d) The angles remain 90° and all sides remain equal

Answer: D

Question. A ruler is used to:
(a) draw lines
(b) draw circles
(c) make an angle of 35°
(d) None of the options

Answer: A

Question. If the radius of a circle is 5 cm, what is the diameter?
(a) 2.5 cm
(b) 5 cm
(c) 10 cm
(d) 20 cm

Answer: C

Question. Which shape has four sides of equal length but does not always have equal diagonals?
(a) Square
(b) Rhombus
(c) Rectangle
(d) Trapezoid

Answer: B

Question. A diagonal of a rectangle divides a right angle into two parts. Which statement is correct in general?
(a) The two parts are always equal
(b) The two parts can vary depending on the rectangle’s side lengths
(c) The two parts are 60° and 30° only
(d) They are never equal

Answer: B

Question. To construct a rectangle when one side (5 cm) and one diagonal (7 cm) are given, a key planning step is to:
(a) guess the other side by trial
(b) draw the base, then a perpendicular line at an endpoint, and mark the diagonal length via a circle/arc
(c) draw two equal sides at 60°
(d) start with the diagonal as a side

Answer: B

Question. Which one of the following instruments is used to draw arcs and circles?
(a) a ruler
(b) a pair of compasses
(c) a divider
(d) a set-square

Answer: B

Question. Which of the following is a property of the diagonals of a rectangle?
(a) They are equal in length
(b) They bisect at 90°
(c) They are unequal
(d) They divide the rectangle into four equal parts

Answer: A

Question. Which of the following shapes has a center point from which all points on the boundary are equidistant?
(a) Rectangle
(b) Triangle
(c) Circle
(d) Square

Answer: C

Question. Which of the following is NOT a property of a rectangle?
(a) Opposite sides are equal
(b) All sides are equal
(c) It has two diagonals
(d) All angles are 90°

Answer: B

Question. What is the measure of each angle in a square?
(a) 45 degrees
(b) 60 degrees
(c) 90 degrees
(d) 120 degrees

Answer: C

Question. A rectangle ABCD can also be written as:
(a) ACDB
(b) DABC
(c) CABD
(d) BDCA

Answer: B

Question. What is the circumference of a circle with a radius of 7 cm? (Use π = 22/7)
(a) 44 cm
(b) 22 cm
(c) 14 cm
(d) 28 cm

Answer: A

Question. In a square, how many sides are equal?
(a) 1
(b) 2
(c) 3
(d) 4

Answer: D

Question. The set of all points that are exactly 5 cm from a point B forms:
(a) a line segment
(b) a circle of radius 5 cm centred at B
(c) a rectangle
(d) a square

Answer: B

Question. To locate a point A that is 5 cm from both B and C (forming an isosceles “roof”), you should draw:
(a) arcs of radius 5 cm with centres at B and C and take their intersection
(b) a 5 cm line from B only
(c) a perpendicular bisector of BC only
(d) an angle bisector at B

Answer: A

Question. Which one of the following statements is not true for constructions using a ruler and compass?
(a) Draw thin line and mark the point lightly.
(b) Draw thick line and mark the point in bold.
(c) Instruments should have sharp tips.
(d) Instruments should have fine edges.

Answer: B

Question. How many diagonals does a square have?
(a) 1
(b) 2
(c) 3
(d) 4

Answer: B

Fill in the blanks:

Question. The tool used to draw perfect circles and arcs is called a _____.
Answer: Compass

Question. The compass is used to draw circles and ______________
Answer: arcs

Question. A square has _____ equal sides and _____ right angles.
Answer: 4, 4

Question. Protractor is an instrument which helps us to ______________ and draw angles.
Answer: measure

True/False 

Question. The diagonals of a rectangle are always equal.
Answer: True

Question. The point where the two diagonals of a rectangle intersect divides the diagonals into two equal parts
Answer: True

Question. A compass can be used to measure the length of a side without a ruler.
Answer: True