## 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: