CBSE Class 6 Mathematics Playing with Constructions MCQs Set C

Question. How many degrees are in each angle of a square?
(a) 60°
(b) 90°
(c) 120°
(d) 45°

Answer: B

Question. If a rectangle has a diagonal of 10 cm and one side is 6 cm, what is the length of the other side?
(a) 4 cm
(b) 5 cm
(c) 8 cm
(d) 3 cm

Answer: C

Question. Which statement is true about constructing a rectangle that can be split into two identical squares?
(a) The long side is twice the short side
(b) Both sides are equal
(c) The longer side equals two times the shorter side
(d) The rectangle cannot be split into squares

Answer: C

Question. Which geometrical instrument would you use to draw a perfect circle with a 5 cm radius?
(a) Ruler
(b) Compass
(c) Set square
(d) Protractor

Answer: B

Question. What is the perimeter of a square with side length 6 cm?
(a) 18 cm
(b) 20 cm
(c) 24 cm
(d) 30 cm

Answer: C

Question. Which of the following is true for all rectangles?
(a) All sides are equal
(b) Opposite sides are equal
(c) Diagonals bisect each other at right angles
(d) Diagonals are unequal

Answer: B

Question. To draw a perpendicular bisector of a line segment, arcs are drawn with radius ________.
(a) less than half the segment
(b) equal to half the segment
(c) greater than half the segment
(d) double the segment

Answer: C

Question. What is the shape of the curve obtained when all points are at equal distance from a center?
(a) Triangle
(b) Square
(c) Circle
(d) Rectangle

Answer: C

Question. A circle has:
(a) two centres
(b) a fixed radius
(c) at least one centre
(d) no radius.

Answer: B

Question. Which of the following is true for all squares?
(a) All sides are equal
(b) Diagonals are unequal
(c) Opposite angles are unequal
(d) The diagonals do not bisect each other

Answer: A

Question. Which of the following is true for the diagonals of a square?
(a) They are unequal
(b) They are equal and bisect each other at 90°
(c) They are parallel
(d) They divide the square into four triangles

Answer: B

Question. To draw a square with a side length of 6 cm using a compass and ruler, what is the first step?
(a) Draw one side of the square.
(b) Draw a diagonal.
(c) Measure a 6 cm length on the compass.
(d) Draw a perpendicular bisector.

Answer: A

Question. Which of the following instruments is most useful to draw an angle of 90°?
(a) Compass
(b) Protractor
(c) Divider
(d) Ruler only

Answer: B

Question. A figure bounded by four sides is called a square if:
(a) each side is equal to 3 cm.
(b) each angle is equal to 90°.
(c) all sides are equal and each angle is equal to 90°.
(d) None of the options

Answer: C

Question. What is the formula for the area of a square?
(a) Side × Side
(b) Length × Breadth
(c) 2 × Side
(d) Side ÷ Side

Answer: A

Question. Which instrument is needed to draw a rectangle if the side lengths are known?
(a) Protractor
(b) Compass
(c) Ruler
(d) Set square

Answer: C

Question. The intersection point of angle bisectors of a triangle is called its ________.
(a) circumcentre
(b) orthocentre
(c) centroid
(d) incentre

Answer: D

Question. The distance from the center of a circle to any point on its circumference is called the:
(a) Diameter
(b) Radius
(c) Chord
(d) Arc

Answer: B

Question. A figure bounded by four sides is called a rectangle if:
(a) opposite sides are equal
(b) opposite angles are equal
(c) opposite sides are equal and each angle is equal to 90°
(d) opposite sides are unequal.

Answer: C

Question. What is the perimeter of a square with side length 12 cm?
(a) 48 cm
(b) 24 cm
(c) 36 cm
(d) 60 cm

Answer: A

Question. Which tool helps in drawing a circle with a specific radius?
(a) Divider
(b) Set square
(c) Compass
(d) Protractor

Answer: C

True/False

Question. Wavy lines drawn on a central line do not need to be symmetrical.
Answer: False

Question. Rotating a square does not change its lengths and angles.
Answer: True

Question. The length of the diagonal of a rectangle is irrelevant when constructing the rectangle.
Answer: False