MCQ on Playing with Constructions Class 6
Class 6 Maths Chapter 8 MCQ Playing with Constructions
Question 1.
A ruler is used to:
(a) draw lines
(b) draw circles
(c) make an angle of 35°
(d) None of these.
Answer:
(a) draw lines
Question 2.
A circle has:
(a) two centres
(b) a fixed radius
(c) at least one centre
(d) no radius.
Answer:
(b) a fixed radius
Question 3.
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) opposite sides are equal and each angle is equal to 90°
Question 4.
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 these.
Answer:
(c) all sides are equal and each angle is equal to 90°.
Question 5.
A rectangle ABCD can also be written as:
(a) ACDB
(b) DABC
(c) CABD
(d) BDCA
Answer:
(b) DABC
Question 6.
Let AB be a line of length 7 cm and M is the midpoint of AB. What is the distance of M from A ?
Answer:
3.5 cm
Question 7.
What instrument is used to draw a perpendicular to a line?
Answer:
Protractor
Question 8.
A square of side 4 cm is rotated. What is the side of the rotated square?
Answer:
4 cm
Question 9.
Which of the following is not a name for the given square?
ABDC, BCDA, ADCB
Answer:
ABDC
Question 10.
Draw a rectangle of sides 3 cm and 5 cm. Verify that the diagonals are equal in length.
Answer:
Do it yourself.
Question 11.
Draw three circles with common centre and radii 3 cm, 4 cm and 5 cm.
Answer:
Question 12.
Draw two touching circles of radius 3 cm.
Answer:
Question 13.
Construct a figure of the form given below:
Answer:
Do it yourself
Question 14.
Construct a figure of the form given below:
Answer:
Do it yourself
Question 15.
Draw a rectangle with sides 4 cm and 6 cm. Find the length of its diagonals.
Answer:
7.2 cm each
Question 16.
Construct a rectangle of sides 3 cm and 9 cm. Construct a square inside, such that the centre of the square is the same as the centre of the rectangle.
Answer:
Question 17.
Give the lengths of the sides of a rectangle that cannot be divided into:
(i) two identical squares
(ii) three identical squares.
Answer:
(i) 4 cm, 10 cm
(ii) 3 cm, 7 cm
Question 18.
Draw a ‘square with a hole ’taking square of side 5 cm and hole of radius 1.5 cm.
Answer:
Question 19.
Draw a diagram of “falling squares ” taking three squares of sides 2 cm, 4 cm and 5 cm, so that one diagram of each square are on the same line.
Answer:
Question 20.
Draw a diagram shown as below. The side of outer square is 6 cm and side of each small square is 2 cm.
Answer:
Question 21.
Construct a rectangle in which one of the diagonals divides the opposite angle into 70° and 20°. How many such rectangles can be drawn?
Answer:
Infinitely many rectangles can be drawn
Question 22.
Construct a rectangle in which one of the diagonals divides the opposite angles into 45° and 45°. What do you observe about the sides?
Answer:
Question 23.
Construct a rectangle one of whose sides is 3 cm and the diagonal is of length 7 cm.
Answer:
