NCERT Solutions for Class 5 Maths Chapter 2 Shapes And Angles
NCERT Textbook Page 16
Rohini made this shape.
Mohini: Is it a closed shape or an open shape?
Rohini: It is a closed shape.
Mohini: How many sides are there?
Rohini: It has 6 sides.
Question 1. Mohini made this. Now you give the answers.
(a) Is it a closed shape?
(b) Does it have 6 sides?
But it is not the same as the one made by Rohini. So Mohini tried again.
Question 2. This is what she made.
(a)Is it a closed shape with 6 sides?
(b)Is it the same as one made by Rohini?
(c)Is there some way to say in what way these shapes are different?
Answer:These shapes differ in angles.
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(b)Are the angles marked with green equal?
(c)Are the angles marked with blue equal?
Question 2. Four different angles are marked in four colours. Can you find other angles which are the same as the one marked in red? Mark them in red. Do this for other colours.
Answer: The angle marked in yellow is the same as the one marked in red.
All angles of the hexagon are the same as the angle marked in green.
All angles of the octagon are the same as the angle marked in black.
Question 3. How many different shapes can you make by changing the angle between the matchsticks in each of these? Try.
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Question 1. Make 8 triangles using 6 matchsticks. Try!
Question 2. Take 8 matchsticks and make a fish like this. Now pick up any 3 matchsticks and put them in such a way that the fish now starts swimming in the opposite direction. Did it?
Question 3. Using 10 matchsticks make this shape. Pick any 5 matchsticks and put them in such a way that you get the shape of a house.
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Question 1. How do we make equal angles?
Answer: We can use the divider from the geometry box to make equal angles. Measure an angle with the help of the divider and make another angle of equal measurement. The divider is also called the angle tester.
Question 2. How can you make your own angle tester?
Answer: For this, you need the following materials; cardboard strips, drawing pins, or split pins.Take two cardboard strips of the same size. Join their one ends with the help of the drawing pin or split pin. Move the strips from the joint so that they can freely rotate. Your angle tester is ready.
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Question 1. Sukhman made this picture with so many angles.
Use colour pencils to mark.
•Right angles with black colour.
•Angles which are more than a right angle with green.
•Angles which are less than a right angle with blue.
Answer: In the given picture:
•Right angles are shown by the letter ‘R’.
•Angles that are more than the right angle are shown by the letter ‘O’.
•Angles that are less than the right angle are shown by the letter ‘L’.
Question 2. Draw anything of your choice around the angle shown. Also, write what kind of angle it is. The first one is done.
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(а)Take a square sheet of paper.
(b)Fold it in half.
(c)Fold it once more and press it.
(d)Open the last fold so that the sheet is folded in half.
(e)Take one comer and fold it to meet the dotted line.
On the paper you will find lines making a right angle, an angle less than a right angle, and an angle more than a right angle.
Look for each of the angles and mark them with different colours.
Question 2. Activity: Angles with your body Can you make these angles?
(а)A right angle with your hand?
(b)An angle less than a right angle with your leg?
(c)An angle more than a right angle with your arm?
(d)An angle more than a right angle with your body?
Try them out. It’s fun! Draw them in your notebook using stick drawings like these.
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Question 1. Collect some leaves from the garden. Colour each leaf and print it. Look at the angles on the leaves. Which of them are more or less than a right angle?
Answer: Collect leaves of a different kind. Apply some paint on them and take the print on paper. With the help of a divider and protractor, measure the angles. Look for the birds which have beaks with small angles.
Question 2. In the picture, mark angles between the two branches. Which two branches have the biggest angle?
Answer: Birds shown by p, q and r have beaks with small angles.
Branches shown by A and B have the biggest angles.
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Question 1. Write 3 names using straight lines and count the angles.
(а)Put 10 Math-Magic books on top of each other. Keep one book slanting to make a slide.
(b)Now do this with six books.
•Roll a ball from the top. From which slide does the ball roll down faster?
•Which slide has the smaller angle?
Answer: The ball rolls down faster, from the slide made by 10 books.
The slide made by 6 books has a smaller angle.
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Question 1. These are two slides in a park.
•Which slide has a larger angle?
•Which slide do you think is safer for the little boy? Why?
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Question 1. Now make these 4, 5, 6 sided shapes by using tube pieces and matchsticks.
Find out how many angles are there in each of these shapes. Mark them.
Now push each shape downwards with the tip of your finger. Does the angle change when pushed down by the finger? Find out and write your results in the table given:
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Question 1. Shapes and Towers
•From the activity ‘Changing Shapes’ can you guess why triangles are used in these towers, bridges, etc.?
•Look around and find out more places where triangles are used.
Answer: •A triangular shape is strong and does not change easily when pressed.
Triangular shapes are used in bridges, towers, etc. to make them stronger.
•Triangles can be found in the following structures:
Railings, Bus stops railway stations, community halls, etc.
Question 2. Angle and Time
There are many times 4 in a day when the hands of a clock make a right angle. Now you draw some more.
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Question 1. Write what kind of angle is made by the hands at these times. Also, write the time.
Question 2. Draw the hands of the clock when they make an angle that is less than a right angle, Also write the time.
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Question 1. Use your degree clock to measure the right angle of your pencil box. Answer: 90° is the measure of the right angle.
Can you guess how many degrees is the angle which is:
(a)1/2 of a right angle
(b)1/3 of a right angle
(c)2 times of a right angle
Answer:(a) 45° (b) 30° (c) 180°
Question 2. Measure the angles from where Kittu should hit the striker on page 30.
Answer: The measure of the angle from where Kittu should hit the striker is 30°.
NCERT Textbook Page 31
Question 1. Find the angle of 45° and 90° when you open your plane.
Answer: For this, make a paper airplane and measure the angles at different folds.