The Fish Tale || Class 5 || Mathematics || NCERT Solutions

Haiku

Q. 1 What is a Haiku?

Ans: A Haiku is a short poem about nature. It is of three lines. These poems are popular in Japan.

Q. 2 Give an example of a Haiku ?

Ans: The lake, calm, smooth, still

A fish jumps up and returns

Ripples shake the lake

Fish Size

Q. 3 How long is the smallest fish ?

Ans: The smallest fish is about 1 cm long.

Q. 4 Name the biggest fish.

Ans: The biggest fish is the Whale Shark.

Q. 5 How long is the biggest fish ?

Ans: It is about 18 m long.

Q. 6 What is the weight of a whale shark ?

Ans: It weighs 16000 kg.

Difference between Fish and Whales

Q. 7 Write any four differences between fish and whales.

Fish	Whale
Fish breathe through their gills.	Whales breathe through their noses.
Fish lay eggs.	Whales give birth to babies.
Fish tail stands flat along its body.	Whale tail almost look like two legs.
Fish are cold blooded.	Whales are warm blooded.

Fishermen in their Boats

Log boats do not go very far. If the wind is helpful, they travel about 4 km in one hour.

Q. How long will they take to go a distance of 10 km ?

Ans:

A log boat travels in 1 hour = 4 km

A log boat travels in 2 hours = 4 X 2 = 8 km

A log boat travels in half an hour = 4 ÷ 2 = 2 km

So for travelling a distance of 10 km a log boat will take 2 and a half hour.

Q. From where you are, what interesting thing do you see to your east?

Ans :

I am from Koraput. I see beautiful mountains and springs to my east.

Q. Name two things that are lying to your west.

Ans :

Two things that are lying to my west are

The palace of Jeypore ( King Vikram Dev )
The holy Shiv shrine Gupteswar

What a catch!

Motor boats travel faster , at the speed of about 20 km in one hour.

Q. How far would the motor boats go in three and a half hours ?

Ans :

Motor boats travel in 1 hour = 20 km

They will travel in half an hour = 20 ÷ 2 = 10 km

They will travel in 3 hours = 20 X 3 = 60 km

Hence the motor boats would travel in 3 and a half hours

= 60 km + 10 km = 70 km.

Q. How much time will they take to go 85 km ?

Ans :

Time taken by motor boats to travel 20 km = 1 hour

Time taken by those to travel 85 km = 85 ÷ 20

20 │8 5 │4

- 8 0

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Time taken by motor boats to travel 5 km

= quarter hour or 15 minutes

Hence the motor boats will take 4 hours and 15 minutes to travel 85 km.

Which Boat Gets How Much ?

In one trip the log boat brings about 20 kg of fish. But other types of boats bring a bigger catch as given in the table. The table also shows the speed of each type of boat, which is how far each boat goes in one hour. Look at the table and calculate –

Type of boat	Catch of fish in one trip ( in kg )	Speed of the boat ( how far it goes in one hour )
Log boat	20	4 km per hour
Long tail boat	600	12 km per hour
Motor boat	800	20 km per hour
Machine boat	6000	22 km per hour

Q. a ) About how much fish in all will each type of boat bring in seven trips ?

Answer :

Log boat brings fish in 1 trip = 20 kg

It will bring in 7 trips = 20 X 7 = 140 kg

Long tail boat brings fish in 1 trip = 600 kg

It will bring in 7 trips = 600 X 7 = 4200 kg

Motor boat brings fish in 1 trip = 800 kg

It will bring in 7 trips = 800 X 7 = 5600 kg

Machine boat brings fish in 1 trip = 6000 kg

It will bring in 7 trips = 6000 X 7 = 42000 kg

Q. b ) About how far can a motor boat go in six hours ?

Answer :

A motor boat goes in 1 hour = 20 km

It will go in 6 hours = 20 X 6 = 120 km

Q. c ) If a long tail boat has to travel 60 km how long will it take ?

Answer :

Time taken by a long tail boat to travel 12 km = 1 hour

Time will be taken by a long tail boat to travel 60 km = 60 ÷ 12

= 5 hours

Hence a long tail boat will take 5 hours to travel 60 km.

Some Big, Big Numbers!

Q. 1 Write the number names of the following numbers. Also write the number of digits in the following numbers.

Numbers	Number of digits	Number names
1	one	One
10	Two	Ten
100	Three	One Hundred
1000	Four	One Thousand
10000	Five	Ten Thousand
100000	Six	One lakh ( Hundred Thousand )
1000000	Seven	Ten Lakh
10000000	Eight	One Crore ( Hundred Lakh )
100000000	Nine	Ten Crore

Q. 2 Answer the following

A ) One hundred thousand = ……………. Lakh

Ans : One Lakh

B ) One hundred lakh = …………… Crore

Ans : One Crore

C ) How many zeroes are there in the number one lakh ?

Ans : There are five zeroes in one lakh.

D ) There are about two lakh boats in our country. Half of them are without a motor. What is the number of boats with a motor ?

Ans:

Half of 200000 is 100000

So there are 100000 boats with a motor.

E ) About one fourth of the boats with a motor are big machine boats. How many thousand machine boats are there ?

Answer :

Total boats = 200000

One fourth of 200000 = 200000 ÷ 4

= 50000

So Fifty thousand machine boats are there.

F ) Write One crore in number.

Ans : 10000000

G ) Fill in the blanks

Five hundred thousand = ……………….
Thirteen hundred lakh = …………………
Twenty two hundred lakh = ……………..
Seventeen hundred thousand = …………….
Number of zeroes in one hundred lakh = ……………..

Place Value

Q. 1 How many symbols are used for writing numbers ? What are they ?

Answer :

We write numbers using only ten symbols 0 , 1, 2 , 3 , 4 , 5 , 6 , 7 , 8 and 9.

Q. 2 What are the symbols used for writing numbers called ?

Answer :

The symbols used for writing numbers are called as digits.

Q. 3 What is Place Value ?

Answer :

Each digit has a place or position in a number.
The value of a digit depends on its place or position.
Place value describes the position or place of a digit in a number.
The places are

Crores

Ten lakhs

Lakhs

Ten thousands

Thousands

Hundreds

Tens

Ones

Q. 4 Write the place value of the underlined digits in the following numbers.

5689234, 85740262 , 12548964

Answer:

The place value of 9 in 5689234 is Nine thousand or 9000
The place value of 7 in 85740262 is Seven lakh or 700000
The place value of 2 in 12548964 is Twenty lakh or 2000000

Q. 5 Write the place value of the underlined digits in the following numbers.

5864203 = …………………………….
97542132 = ……………………………
2100564 = ……………………………
5000000 = …………………………….
32645012 = ……………………………

Periods

Q. What are periods ?

Ans:

A place value chart has been separated into groups.

Each group is called as period.

Q. Name the groups of Indian place value system.

Ans:

The periods in Indian place value system are –

Crores , Lakhs, Thousands, Ones

Q. How are the periods grouped in Indian place value system ?

Ans:

In Indian place value system a number is grouped from right with three digits there after 2 digits.

Q. List the places in the following periods.

Ones period , Thousands period, Lakhs period , Crores period

Solution

The places are as follow.

Crores		Lakhs		Thousands		Ones
Ten crores	Crores	Ten lakhs	Lakhs	Ten thousands	Thousands	Hundreds	Tens	Ones

Q. Re-write the numbers by using commas.

15874602 , 56987401 , 224539 , 4005002 , 12354780, 5620

Solution

15874602 can be written as 1,58,74,602
56987401 can be written as ………………..
224539 can be written as …………………
4005002 can be written as …………………
12354780 can be written as …………………
5620 can be written as …………………

Reading Large Numbers

For reading a number we have to put commas as per periods.

For Example :

Q. Read the number 5680243

5680243 can be written as 56,80,243

56 is in lakhs period

80 is in thousands period

243 is in ones period.

So we can read the number as Fifty six lakh eighty thousand two hundred forty three.

Q. Write the number names of the following.

2013456
8574089
94567201
54786021
876420

Q. Write the numbers.

Thirty five lakh seven hundred four
Nine hundred thousand three hundred two
Twenty crore five lakh seven hundred five
Five crore thirteen lakh seven thousand four hundred five
Seven hundred lakh fourteen thousand six hundred four

Writing numbers in Expanded form

Q. Write the following numbers in expanded form.

For example

8712459 = 8000000 + 700000 + 10000 + 2000 + 400 + 50 + 9

9820145

978654

2001456

69025788

Forming largest and smallest numbers

For example

Q. Form the greatest and smallest five digit numbers by using the digits 6 , 2 , 8 , 0 , 5 once only.

Solution

Greatest Number = 86520

Smallest number = 20568

Q. Form the greatest and smallest seven digit numbers by using the digits 6 , 2 , 9 , 1 , 8 , 0 , 5 once only. Also find the difference between them.

Solution

Greatest number = 9865210

Smallest number = - 1025689

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Difference =

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The Fish Market

Many boats have brought a good catch. The fisherwomen are shouting out their prices to the buyers. The price is as follows.

Seller	Name of the fish	Price
Mini	Sardines	40 per kg
Gracy	Sword-fish	60 per kg
Floramma	Prawns	150 per kg
Karuthamma	Squid	50 per kg
Fazila	Kingfish	1200 per 8 kg

Practice Time

Q. 1 At what price per kg did Fazila sell the kingfish ?

Solution:

8 kg of kingfish was sold at price = 1200

1 kg of kingfish was sold at price = 1200 ÷ 8

8│1200│150

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Fazila sold the kingfish at price 150 per kg

Q. 2 Floramma has sold 10 kg prawns today. How much money did she get for that ?

Solution :

Cost of 1 kg prawns = Rs 150

Therefore, the cost of 10 kg prawns = Rs 150 X 10

= Rs 1500

Floramma will get back Rs 1500

Q. 3 Gracy sold 6 kg sword fish. Mini has earned as much money as Gracy. How many kg of sar4dines did Mini sell ?

Solution :

Cost of 1 kg sword fish = Rs 60

Therefore, cost of 6 kg sword fish = 60 X 6

= Rs 360

Gracy earned Rs 360.

Mini earned as much money as Gracy.

So Mini earned Rs 360 by selling sardines.

Sardines fish in Rs 40 = 1 kg

Therefore, sardines fish in Rs 360 = 360 ÷ 40

40│360│9

360

------------

= 9 kg

Mini sold 9 kg sardines fish .

Q. 4 Basheer has Rs 100. He spends one-fourth of the money on squid and another three-fourth on prawns.

a. How many kilograms of squid did he buy ?

Solution:

One-fourth of Rs 100 = 100 ÷ 4 = 25

As the cost of 1 kg squid = Rs 50

So he will get half kg squid with Rs 25

b. How many kilograms of prawns did he buy ?

Solution :

Three-fourth of Rs 100 = 25 X 3 = Rs 75

He bought prawns with Rs 75

1 kg prawns cost Rs 150

So he will get Half kg prawns with Rs 75

Women’s Meenkar Bank

Twenty fisherwomen have made their own bank. Each saves Rs 25 every month and puts it in the bank.

Q. How much money does the group collect each month ?

Solution :

Each woman saved money in a month = Rs 25

Therefore, 20 women saved money in a month

= 25 X 20 = Rs 500

Q. How much money will be collected in ten years ?

Solution :

Money collected in 1 month = Rs 500

Money collected in 1 year ( 12 months )

= 500 X 12

= Rs 6000

Therefore, money will be collected in ten years

= 6000 X 10

= Rs 60,000

Hence 60,000 rupees will be collected in ten years.

Practice time

Gracy needs money to buy a net. Jhansi and her sister want to buy a log boat. So they take a loan from their bank. They will return it with interest.

Q. a ) Gracy took a loan of Rs 4000 to buy a net. She paid back Rs 345 every month for one year. How much money did she pay back to the Bank ?

Solution :

Gracy paid money in 1 month = Rs 345

Therefore, she paid in 1 year ( 12 months )

= 345 X 12

= Rs 4,140

She paid Rs 4,140 to the bank.

Q. b ) Jhansi and her sister took a loan of Rs 21,000 to buy a log boat. They paid back a total of Rs 23,520 in one year. How much did they pay back every month ?

Solution :

Jhansi and her sister paid in 1 year ( 12 months ) = Rs 23520

Therefore, they paid in 1 month = 23520 ÷ 12

12│23520│1960

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115

108

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Hence they paid back 1960 rupees every month.