Teachers can assign these Ganita Prakash Class 6 Worksheet and Class 6 Maths Chapter 8 Playing with Constructions Worksheet with Answers Pdf Download for daily practice.
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
Multiple Choice Questions
1. 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) Compass
2. What is the measure of each angle in a square?
(a) 45°
(b) 60°
(c) 90°
(d) 120°
Answer:
(c) 90°
3. When drawing a rectangle, which of the following is true about its diagonals?
(a) They are always parallel.
(b) They bisect each other at 90°.
(c) They are equal in length.
(d) None of these
Answer:
(c) They are equal in length.
4. To draw a square with a side of length 6 cm using a compass and a ruler, what is the first step?
(a) Draw one side of the square
(b) Draw a diagonal
(c) Measure a 6 cm length on compass
(d) Draw a perpendicular bisector
Answer:
(a) Draw one side of the square
5. If you want to find a point that is equidistant from two given points, which geometrical instrument would you use?
(a) Ruler
(b) Compass
(c) Protractor
(d) Set square
Answer:
(b) Compass
6. A simple closed curve all of whose points are at the same distance from a fixed point is
(a) Radius
(b) Circle
(c) Square
(d) Rectangle
Answer:
(b) Circle
7. A maximum of _______ diagonals can be drawn in a rectangle,
(a) Three
(b) Two
(c) One
(d) Infinite
Answer:
(b) Two
8. Let AB be a line of 11 cm and M is the mid-point of PQ. What is the distance of M from P?
(a) 5.5 cm
(b) 5 cm
(c) 6 cm
(d) 7 cm
Answer:
(a) 5.5 cm
9. Which of the following cannot be the name for the given figure (square)
(a) ABCD
(b) CABD
(c) BCDA
(d) DABC
Answer:
(b) CABD
10. A figure made by only half circles is called _______,
(a) line
(b) rectangle
(c) wavy wave
(d) square
Answer:
(c) wavy wave
Assertion (A) and Reason (R)
Study the Assertion (A) and Reason (R) statements given below, and choose the correct alternative.
1. Assertion (A) A square can be thought of as a special rectangle.
Reason (R) A rectangle with all sides equal becomes a square.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(a) Both A and R are true and R is the correct explanation of A.
2. Assertion (A) If the radius of a circle is 5 cm, then its diameter is 10 cm.
Reason (R) The radius passes through the centre of the circle.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(b) Both A and R are true but R is not the correct explanation of A.
Fill in the blanks
1. The distance from the center of a circle to any point on the circle is called the ________.
Answer:
Radius
2. The geometrical instrument used to draw perfect circles and arcs is called a ________.
Answer:
Compass
3. The sum of all angles in a rectangle is ________ degrees.
Answer:
360°
4. A square has ________ equal sides and ________ right angles.
Answer:
4, 4
5. To draw a perpendicular line through a point on a line segment, you would typically use a ________.
Answer:
Protractor
6. All the points of a circle are at the same distance from its ________.
Answer:
Centre
7. The opposite sides of a ________ are equal in length and each angle at the vertex is 90°.
Answer:
Rectangle
8. Rotating a ________ and ________ does not change their length and angles.
Answer:
Square and rectangle
True or False
State whether the following statements are True or False.
1. All the sides of a rectangle are equal in length.
Answer:
False
2. The diagonals of a rectangle are always equal.
Answer:
True
3. A rotated square is still a square as long as all sides remain equal and all angles remain 90c
Answer:
True
4. The point where the two diagonals of a rectangle intersect, divides the diagonals into two equal parts.
Answer:
True
5. A compass can be used to measure the length of a side without a ruler.
Answer:
False
6. Rotating a square does not change its lengths and angles.
Answer:
True
Match the following.
Question 1.
| Column A | Column B |
| (i) Geometrical instrument used to draw and measure angles | (a) Rectangle |
| (ii) Opposite sides are equal in a | (b) Compass |
| (iii) All the sides are equal in a | (c) Ruler |
| (iv) Geometrical instrument used to mark of equal lengths and draw arcs and circles | (d) Protractor |
| (v) A line is drawn by the edge of a | (e) Square |
Answer:
| Column A | Column B |
| (i) Geometrical instrument used to draw and measure angles | (d) Protractor |
| (ii) Opposite sides are equal in a | (a) Rectangle |
| (iii) All the sides are equal in a | (e) Square |
| (iv) Geometrical instrument used to mark of equal lengths and draw arcs and circles | (b) Compass |
| (v) A line is drawn by the edge of a | (c) Ruler |
Complete the table given below.
Question 1.
Answer:
(i) Infinite
(ii) Compass
(iii) Protractor, 180°
(iv) Diagonal
(v) OP, QQ, and OR are the radii of the circle
Very Short Answer Type Questions
Question 1.
Construct a line segment of length 5.6 cm using ruler and compass.
_____________________________________
Answer:
Do yourself
Question 2.
Draw a circle of radius 3.2 cm.
_____________________________________
Answer:
Do yourself
Question 3.
With PQ of length 6.1 cm as diameter, draw a circle.
_____________________________________
Answer:
Do yourself
Short Answer Type Questions
Question 1.
Construct a rectangle with sides 4 cm and 6 cm. Verify if the diagonals are equal.
_____________________________________
Answer:
Do yourself
Question 2.
Using a compass, draw a circle with a radius of 3 cm. Then, draw another circle with the same radius but with a different centre.
_____________________________________
Answer:
Do yourself
Question 3.
With the same centre as 0, draw three circles of radii 3 cm, 5 cm and 6 cm. Are these circles called concentric circles?
_____________________________________
Answer:
yes, the circles with the same centre is called concentric circles.
Question 4.
Draw a square with a side length 5 cm using a compass and ruler.
_____________________________________
Answer:
Do yourself
Question 5.
Construct a rectangle where one of its sides is 5 cm and the length of a diagonal is 7 cm.
_____________________________________
Answer:
Do yourself
Question 6.
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:
Do yourself
Question 7.
Using compass and ruler, construct AB of length 17.8 cm. From this, cut off AC of length 14.7 cm. Measure BC.
_____________________________________
Answer:
Do yourself
Long Answer Type Questions
Question 1.
Draw a line segment PQ = 6 cm. Mark any point M on it. Through M, draw a perpendicular to PQ using ruler and compass.
_____________________________________
Answer:
Do yourself
Question 2.
Draw a circle with centre C and radius 3.4 cm. Draw any diameter AB. Construct the perpendicular bisector of AB and examine if it passes through C.
_____________________________________
Answer:
Do yourself
Case based questions.
Rahul after retirement thought to stay in his village’s house. After going there he found there was shortage of water, so he thought of constructing a well. He hired some labours and guided them that the well should be 4.5 m in radius.
Based on the above information, answer the following questions.
(i) What is the shape of the well?
(a) Rectangle
(b) Square
(c) Circle
(d) Semi-circle
Answer:
(c) Circle
(ii) What is the diameter of the well?
(a) 9 m
(b) 8 m
(c) 4.5 m
(d) 5 m
Answer:
(a) 9 m
(iii) A small part of the circumference of this well is called
(a) segment
(b) radius
(c) diameter
(d) arc
Answer:
(d) arc
(iv) What is the first step of constructing a well?
(a) Marking arc
(b) Marking centre point
(c) Marking side point
(d) Drawing a line
Answer:
(b) Marking centre point
Activity
Activity 1
Given below are the steps of constructing a bisector EF of a line segment AB (6.8 cm) in a random order. Read the steps carefully and mention the correct step number in the bracket. Rearrange the steps in the correct order and follow the correct sequence of steps to draw the required construction.
(i) Step (___) With centre A and radius more than half of AB, draw arcs, one on each side of AB.
(ii) Step (___) Draw a line segment AB of the given length.
(iii) Step (___) Join EF intersecting AB at M. Then, M bisects the line segment AB.
(iv) Step (___) With B as centre and the same radius as before, draw arcs, cutting the previously drawn arcs at E and F respectively.
Answer:
(i) Step (2)
(ii) Step (1)
(iii) Step (4)
(iv) Step (3)
The post Playing with Constructions Class 6 Worksheet with Answers Maths Chapter 8 appeared first on Learn CBSE.
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