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Tuesday, July 7, 2020

Class 4 Maths Chapter - 2 Long and Short (Practice Work)

How Far Apart are the Dots?

  • Guess the distance between any two dots. How many centimetres is it? Now measure it with the help of a scale. Did you guess right?
  • Which two dots do you think are farthest from each other? Check your answer.
  • Which two dots are nearest to each other? Check your answer.

Children can play this game in pairs, making dots on a plain sheet and asking their partner to guess the distance. This can also be extended to estimating bigger distances on the floor.The border of this chapter should also be used as a scale.

The Shorter Line

Akbar was a famous king. He had a smart minister called Birbal. Once Akbar gave him a difficult question. He drew a line on the floor.

Look at the picture and explain how Birbal made Akbar's line shorter.

Now can you be as smart as Birbal? Make his line shorter without erasing it. Just think _ is there any longest line?

Try This

  • Make her right arm1 cmlonger than the left arm.
  • Draw a cup 1 cmshorter than this cup.
  • Draw a broom half as long as this broom.
  • Draw another hair of double the length.

How Tall Have You Grown?

Do you remember that in Class 3 you measured your height?

Do you think you have grown taller?

How much? ____________ (cm)

Have your friends also grown taller?

Find out and fill the table below.

Friend's nameLast year's height(in cm)This year's height(in cm)How many cm have they grown
    
    
    
    
    

Jhumpa once read a list of the tallest people in the world. One of them was 272 cm tall! That is just double of Jhumpa's height. How tall is Jhumpa? cm.

Imagine

  • Could that person pass through the door of your classroom without bending?
  • Will his head touch the roof of your house if he stands straight?

The Long and Short of Your Family!

  • Who is the tallest in your family? _____
  • Who is the shortest in your family? _____
  • What is the difference between their heights? _____

Inter-School Sports Meet

Race

This is a 100 metre race for girls. Arundhati is nearest the finishing line. She is about 6 metres from it.

Behind her is Rehana. Konkana and Uma are running behind Rehana. Look at the picture. To answer the questions below

a) How far is Rehana from Arundhati? 

b) How far ahead is Rehana from Konkana and Uma? 

c) How far are Konkana and Uma from the finishing line? 

Have you heard about a 1500 m or 3000 m race? (You remember that 1000 metres make 1 kilometre and 500 metres make half a kilometre.)

  • So you can say

In a 1500 metres race people run km

In a 3000 metres race people run  km

Have you heard about marathon races in which people have to run about 40 kilometres? People run marathons on roads because the track of a stadium is only 400 metres.

10 rounds of a stadium track =km

So, if you run a marathon on a stadium track, you will have to complete rounds!

Long Jump

This is the long jump for boys.

Dhanu has the longest jump of 3 metres 40 cm. Gurjeet is second. His jump is 20 cm less than Dhanu's. Gopi comes third. His jump is only 5 cm less than Gurjeet's jump.

  • How long is Gurjeet's jump? cm
  • How long is Gopi's jump?cm
  • Try and see how far you can jump.
  • How far can you throw a ball? ___________ metres.
  • Look for a big ball, like a football or volleyball. How far can you kick it? ___________

Here are the Indian Records and World Records for some jumps.

SportsWorld RecordIndian Record
High jump(Men)Javier S.(2m 45cm)Chandra Pal(2m 17cm)
Long Jump(Men)Mike P.(8m 95cm)Amrit Pal(8m 8cm)
High jump(Women)Stefka K.(2m 9cm)Bobby A.(1m 91cm)
Long Jump(Women)Galine C.(7m 52cm)Anju G.(6m 83cm)

Find out from the table _

  1. How many centimetres more should Chandra Pal jump to equal the Men'sWorld Record for high jump?
  2. How many centimetres higher should Bobby A. jump to reach 2 metres?
  3. Remember that1m= 100 cm

    Half metre =  cm

  4. Galina's long jump is nearly
  5. a) 7 metres

    b) 7 and a half metres

    c) 8 metres

  6. Look at the Women's World Records. What is the difference between the longest jump and the highest jump? cm
  7. If Mike P. could jump centimetres longer, his jump would be full 9 metres.
  8. Whose high jump is very close to two and half metres?
  9. a) Stefka K.

    b) Chandra Pal

    c) Javier S.

    d) Bobby A


Running Exercise

The doctor has told Devi Prasad to run 2 km every day to stay fit. He took one round of this field. How far did he run? km

The field was very far from his home. So he chose a park nearby. The boundary of the park was about 400 metres long.

  • How many rounds of the park must Devi Prasad run to complete 2 km
  • One day the weather was very good and a cool breeze was blowing. He felt so good that he kept jogging till he got tired after 8 rounds. That day he ran  km and metres !


How Many Rooms High?

The Qutab Minar is 72 metres high.

About how many metres high is your classroom?

Guess how many rooms, one on top of the other, will be equal to the Qutab Minar. ______________

Explain how you made a guess


From Kozhikode to Thalassery

Subodh is going to Kozhikode which is 24 kilometres (km) away.

Manjani is going to Thalassery which is 46 km away in the opposite direction.

How far is Kozhikode from Thalassery? km

How Far is Your Home from School?

Momun comes to school from very far. He first walks about 400 metres to the pond. With slippers in his hands, he then walks 150 metres through the pond. Next he runs across the 350 metres wide green field. Then he carefully crosses the 40 metres wide road to reach his school

How much does Momun walk every day to reach school? metres. Is it more than 1 km? 

  • Find out how far your friends live from school and fill the table.Write in metres or kilometres
Friend's nameDistance of home from school
        
        
        
        
        
        

Who among you lives nearest to the school? ___________

Who lives farthest from the school? ___________

How many children live less than 1 kilometre away from your school? ____________

Is there anyone who lives more than 5 km away from the school?

How do they come to school? __________________________________

Guess and Find Out

  1. How long is the thread in a reel?
  2. How long is the string of a kite reel? Can it be more than a kilometre long?
  3. If a handkerchief is made out of a single thread, how long would that thread be?

Children will get a good idea of 1 kilometre distance if it is possible to take them for a 1 km walk, preferably along a straight path.

Try to find out:

  1. Which is the highest building that you have seen? About how many rooms high was it?
  2. How high can a kite go? Can it go higher than the Qutab Minar?
  3. How high can a plane fly? Can it fly higher than Mount Everest which is about 9 kmhigh?
  4. Have you ever seen clouds below you?

It would be useful here to discuss about children's experiences, particularly when talking about clouds and their height, so that they get an intuitive feel of relative heights, and can begin to estimate large distances.

Click Here To Check Your Answers

Class 4 Maths Chapter - 2 A Trip To Bhopal Practice work

Today Sugandha is very excited. All the children of her school are going on a trip to Bhopal with their teachers. Ms. Meenakshi and Mr. Rakesh are talking about the number of buses needed.

Ms. Meenakshi–We will need 4 buses.

Mr. Rakesh –I think we need at least 5.

Ms. Meenakshi –Each bus has 50 seats.

Mr. Rakesh – Let us see how many children are going.

ClassNumber of children
I33
II32
III42
IV50
V53
  Total 
  • So there are a total of children going.
  • If they get 4 buses, how many children will get seats? 
  • Will there be any children left without seats?

Children should be encouraged to estimate first and then find out the answer using any method they want. It is important to discuss the methods children use to solve a problem.

Waiting for the Buses

Sahiba jumps out of the line to see if the buses are coming. She shouts loudly – Hey! I can see them. Run! Grab the window seats.

Many children start jumping in excitement. But ..........

Now there is an argument.

Each mini bus can take 35 students. How many mini buses are needed? 

The Journey Begins

As the buses start moving, children sing at the top of their voices. Some look outside to enjoy the view of the green fields and the hills.

Indra–When will we reach Bhopal?

Ms. Asha – If we don't stop anywhere, we should reach there in 2 hours, that is around ______ o' clock.

Manjeet – Is it very far?

Mr. Bhimsen – It is about 70 km.

Ruby – Are we going to stop anywhere?

Mr. Rakesh – May be at Bhimbetka, about 50kmfrom here.

  • If they go to Bhimbetka, they will reach there
  • – Before 10 o'clock

    – Between 10 o'clock and 11 o' clock

    – After 11 o' clock

As they are talking, Bahadur shouts–Hey! look at the Narmada.

Everyone looks out of the windows.

Ruby – Wow! it is soooo long and so wide!

Let us guess how wide it is.

Gopi – Uhm---m, 100 metres? No, it is much more. Can't say.

Victoria – It must be more than half a kilometre.

Ms. Asha – Look, it is written – 'This bridge is 756.82 metres long'. So we can guess that the Narmada must be about 500 metres wide at this place.

  • Was Victoria right ?

Sadaf – I just can't imagine 500 metres.

Ms. Asha – See, our bus is about 5 metres long. Imagine how many buses can stand in a line on this bridge.

  • Have you ever crossed a long bridge? About how many metres long was it? ____________

Everyone looks down at the river.

Mr. Rakesh–The water level now is quite low. It must be about 40 metres below the bridge.

Ms. Asha – But in the rainy season, the water had risen. Then it was just about 15 metres below the bridge.

  • What is the difference between the water level of the Narmada in the rainy season and now?  metres.

The children discuss about the river for some time. ......

Suddenly, the bus stops with a jerk.

Oh! The petrol pump. Two buses need to be refilled.

The buses stand in a line. Children are sticking their necks out to see how diesel is filled in the bus. Some children have got down to look more closely.

  • Each bus takes about 15 minutes to refill and there are two buses to be refilled. So they stop there for about  minutes, which means they are late by about  minutes late
  • Look in the picture and find the price of 1 litre of diesel. 

As the buses are being refilled, some children go to the toilet near the petrol pump.

How much time did Aman take to come out of the toilet? 

To Bhimbetka

After the buses are refilled, the journey starts again. Now the children are told that they are stopping at Bhimbetka.

Anjan – What is Bhimbetka?

Ms. Raina – It's a place with lots of caves and cave-paintings made by people ten thousand years ago.

Sumonto – Ten tho....uu....saa ...nd years! I cannot even think of one thousand years back!

Gopi – Oh! one thousand years is a big thing, I can't even think of one hundred years.

Gauri – I can think of 100 years because my father's grandmother is 100 years old.

Manjeet – That means those caves are almost hundred great grandmothers old!!

Everybody bursts into laughter – Ha! Ha! Ha!

Now the children are really excited to see the cave-paintings. It is about 11 o' clock when they reach Bhimbetka.

Shankar – This painting also has bisons. Hey, I got

Shankar – This painting also has bisons. Hey, I got an idea. I will count the and you count the deer in the paintings.

Bonomala – I will count people. Let us see which are the most – , deer or people.

  • How many more deer are there than bisons? 

But Bonomala is the happiest because the number of people is even more than the number of deer and bisons together. Her count is less than 200.

  • How many people must Bonomala have counted? 214 / 154 / 134 / 177

The guide tells them that there are 600 cave-paintings in all.

It is time to leave Bhimbetka.

  • They have spent 1 hour there. What time is it? 

They are now moving towards Bhopal. They should reach there in less than 1 hour, at about  o' clock.

Lunch Time

The children are hungry by this time so they take out their lunchpacks. Biscuits, oranges and bananas are also distributed in all the buses.

Each child is to be given 1 orange, 1 banana and 5 biscuits.

All the children take oranges and biscuits but 38 children do not take bananas.

  • How many oranges, biscuits and bananas are distributed?

Manjeet and Bhanu quickly finish their lunch and start asking puzzles to pass the time.

Manjeet – Tell me the number which is exactly between 100 and 150.

Bhanu – 120 ... no, 130 ... no it is 125.

Manjeet – Right. OK! You ask now.

Other children join in. Everyone is asking puzzling questions.

Children can be asked to solve many more similar questions or puzzles, both orally and in writing. They should also be encouraged to explain the strategies they use.

Can you solve these? Try them out.

Which Boat do We Take?

They are so lost in puzzles that they do not notice they have reached the lake. It is a very big lake with a small island in it.

The lake looks very beautiful at this time. There are a lot of ducks making a loud noise. Some children give them popcorn.

Now comes the exciting part! It is time to go for boating. They have to choose which boat to take. But that is not easy.

There are different kinds of boats. Each has a different ticket price, and also different trip times.

Based on the table showing ticket rates, trip time etc. some questions are given in the book. Children should be motivated to make many more questions themselves

  • Indra and Bhanu first went in the motor–boat, and then took the oar-boat.
  • How much did they pay for both the boats? Rs 

    How much time did they get for both rides?  min

  • One group of children went for the double–decker trip. They paid Rs 450 in total. How many children went for the double–decker trip? 
  • Which boat makes two trips in 1 hour?
  • Which boat gives them the most time taking the least money?
  • Javed went twice for boating. He paid a total of Rs 40. and boated for 50 minutes. Which two boats did he take? ________

Time to Return

Children enjoy different boat rides till 4 o'clock. It is time to return. Now they will not stop anywhere and reach back in two hours.

So, they should reach Hoshangabad by  o'clock.

Find out

Have you ever been on a school trip? How many children were there in all? How did you go and how far? How much time did it take? Try to find out the cost of travel for each child.

PRACTICE TIME
  1. There are four very old cave-paintings. Mark the oldest.
  2. a) 4200 years old           c) 8500 years old

    b) 1000 years old           d) 1300 years old

  3. One bus can carry 48 children. How many children can three buses carry? About–
  4. a) 100           b) 200           c) 150

  5. Which pair of numbers add to make more than 500?
  6. a) 152 and 241           c) 99 and 299

    b) 321 and 192           d) 401 and 91

  7. What happened at what time? Draw lines to match.