Each of our Ganita Prakash Class 6 Worksheet and Class 6 Maths Chapter 8 Playing with Constructions Worksheet with Answers Pdf focuses on conceptual clarity.
Class 6 Maths Chapter 8 Playing with Constructions Worksheet with Answers Pdf
Playing with Constructions Class 6 Maths Worksheet
Class 6 Maths Chapter 8 Worksheet with Answers – Class 6 Playing with Constructions Worksheet
A. Choose the correct option.
Question 1.
A compass can be used to construct and their parts.
(a) circles
(b) lines
(c) rays
(d) none of these
Answer:
(a) circles
Question 2.
All the points of a circle are at the same distance from its
(a) boundary
(b) centre
(c) radius
(d) diameter
Answer:
(b) centre
Question 3.
An instrument used to draw a line segment of a given measurement is
(a) a ruler
(b) a protractor
(c) a pair of compasses
(d) none of these
Answer:
(a) a ruler
Question 4.
How do you draw a 90° angle?
(a) By drawing a perpendicular to a line from a point lying on it.
(b) By bisecting a 120° angle.
(c) By bisecting a 60° angle.
(d) By drawing-multiples of 40°
Answer:
(a) By drawing a perpendicular to a line from a point lying on it.
Question 5.
You are asked to “construct” an angle of 90°. Which of the following methods is considered appropriate for construction?
(a) Using a compass and straightedge, copy an angle that appears to be close to 90° from a diagram in your textbook.
(b) Using a compass and straightedge, construct two parallel lines and label one of the angles 90°.
(c) Using a compass and straightedge, construct angles of 60° and 120° and bisect the angle between them.
(d) Using a protractor, draw an angle of 90°.
Answer:
(d) Using a protractor, draw an angle of 90°.
Question 6.
Here are the steps for constructing a square of side length 4 cm.
(i) Draw a line segment AB of 4 cm by using a ruler.
(ii) Mark C on the perpendicular such that AC = 4 cm using a ruler.
(iii) Mark a point to draw a perpendicular to AB through A.
(iv) Mark D on the perpendicular such that BD = 4 cm using a ruler.
(v) Draw a perpendicular to line segment AB through B.
(vi) Join C and D to get the required square ABCD of side length 4 cm.
Which of the following shows the correct order of the steps of construction?
(a) (i), (ii), (iii), (iv), (v) and (vi)
(b) (i), (iii), (ii), (v), (iv) and (vi)
(c) (i), (ii), (iii), (v), (iv) and (vi)
(d) (i), (iii), (ii), (iv), (vi) and (v)
Answer:
(b) (i), (iii), (ii), (v), (iv) and (vi)
B. Fill in the blanks.
1. A ruler is used to draw a ___________
Answer:
straight line; length
2. In a ___________, the end of an arm is pointed and at the other arm, a pencil can be fitted with a screw.
Answer:
compass
3. A protractor is ___________ in shape, graduated into 180-degree parts.
Answer:
semicircular
4. An arc is a part of a ___________.
Answer:
circle
5. A rough diagram can be useful in planning how to ___________ a given figure.
Answer:
construct
C. Solve the following.
Question 1.
Try to recreate ‘A Person’ and ‘Eyes’ using ideas involved in the ‘House’ construction.
Question 2.
The Fibonacci sequence is the sequence of numbers where each number is the sum of the two preceding numbers.
Question 3.
Observe the above Fibonacci sequence diagram and redraw it by using a ruler and a pair of compasses.
Shrjita and Sonali are practising rangoli designs in their drawing bools for the Bihu celebration in the school. Those who make beautiful rangoli will win the reward from their class teacher.
Shrijita: Sonali! How are you making circles in your rangoli?
Soriall: I am using a bangle to make circles. And you?
Shrijita: I am using a pair of compasses and a ruler to draw circles by considering certain radii.
Sonali: Ohh! You know how to construct a circle of a given radius using a pair of compasses and a ruler. Can you make a circle of radius 3 cm?
Question 1.
Help Shrijita to draw a circle of the given radius of 3 cm by writing the steps of construction.
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Question 2.
Complete the outlines of the given rangoli and colour using different colours.
Question 3.
An arc is a part of a circle. Observe the given emoji face and try to redraw the same figure by constructing arcs and circles.
Question 4.
Wavy Wave
Observe the given diagram. Construct a similar wave diagram by using a pair of compasses and a ruler. Take semicircles of radius 2 cm.
Think and Answer
How do you draw these petals of a flower with a pair of compasses? Make the similar flower with petals.
Square And Rectangle
- The opposite sides of a rectangle are equal and parallel to each other. The Interior angle of a rectangle at each vertex is 90°.
- A square is a polygon of four sides. All four sides of a square are equal and parallel to each other. Its Interior angles are equal to 90°.
Question 5.
Draw a similar diagram using a rectangle of dimensions 9 × 5 units and four squares of dimensions 4 × 4 units on the given dot paper.
Question 6.
Draw two rotated squares oj dimensions 3 × 3 units and 4 × 4 units, respectively, and a rectangle of dimensions 6 × 4 units on the given dot grid in such a way that their corners are on the dots.
Constructing Squares and Rectangles
Question 7.
Construct a square of dimensions 4 cm × 4 cm by using a pair of compasses and a ruler. Also, write the steps of construction.
Question 8.
Construct a rectangle of dimensions 5 cm × 3 cm by using a pair of compasses and a ruler. Also, write the steps of construction.
Breaking Rectangles
Question 9.
Here, a rectangle of dimensions 6 cm × 3 cm. Break it into two squares of equal size.
Question 10.
Construct a rectangle of sides 9 cm × 5 cm. Also, construct a square of side 5 cm inside the rectangle such that the centre of the square is the same as the centre of the rectangle.
Question 11.
Construct a rectangle where one of its sides is 6 cm and the length of a diagonal is write the steps of construction.
Question 12.
Complete the construction of the incomplete rectangle given below. One of its two sides is 8 cm and the length of a diagonal is 10 cm.
Question 13.
Construct the similar house by completing the given diagram.
Fun Time
Construct the image of a rainbow using a ruler and a compass and colour appropriately.