NCERTtextbooks.com

The Fish Tale Class 5: NCERT Math-Magic Chapter 1

The Fish Tale Class 5 is the opening chapter of NCERT’s Math-Magic textbook for Class 5, in its 2026-27 NCERT edition.

The chapter runs about 15 printed pages and teaches its maths inside one long story about fish workers — whale-shark sizes, boat speeds, fish-market prices and lakh–crore numbers. The official NCERT PDF of The Fish Tale is available right on this page.

Download the official The Fish Tale Class 5 PDF

Download The Fish Tale Class 5 chapter PDF from NCERT — this is the official file on the ncert.nic.in textbook page, where a student, parent or teacher can read or save the whole Class 5 Math-Magic book without paying anything.

The PDF is the real NCERT edition, so the page numbers, pictures and questions below match the printed book exactly.

What is inside The Fish Tale

The table on this page shows the chapter’s size at a glance — sections, figures, activities and questions — so you know what the file holds before opening it.

The chapter’s sections run in this order:

  • The Fish Tale — page 1
  • The Fish Tail — page 3
  • “Schools” of Fish! — page 3
  • Fishermen in their Boats — page 5
  • Find out — page 7
  • What a Catch! — page 7
  • Which Boat Gets How Much? — page 9
  • The Fish Market — page 11
  • Practice Time — page 11
  • Try saying this fast! — page 12
  • Women’s ‘Meenkar Bank’ — page 12
  • Practice time — page 12
  • Why Don’t We Start a New Fish-drying Factory? — page 13
  • Find out — page 15

The chapter has no separate numbered exercise set. Its questions are the ✻ prompts scattered through the story, plus the two Practice Time blocks on pages 11 and 12.

How the fish story carries the maths

The Fish Tale is one long story, and every part of it practises a maths skill. This map shows which part of the story teaches which idea.

Story part What happens Maths it practises NCERT page
The Fish Tale The haiku, children’s fish drawings, comparing fish sizes Shapes, big and small numbers, comparison p1–2
The Fish Tail and “Schools” of Fish Whale and fish tails; sea animals drawn from shapes Observation, drawing with shapes p3–4
Fishermen in their Boats The log boat travels about 4 km in one hour Speed and distance p5–6
What a Catch! Motor boats go about 20 km in one hour; the trawler worry Speed, distance and time; discussion p7–8
Which Boat Gets How Much? The boat catch-and-speed table; lakh and crore Table reading, multiplication, large numbers p9–10
The Fish Market and Practice Time Prices shouted by the fisherwomen; the 8 kg kingfish Price per kg, money sums p11
Meenkar Bank and Practice time 20 women save monthly; loans repaid with interest Savings, loan repayment p12
The fish-drying factory Equipment costs, drying to one-third weight, salt and profit Cost tables, fractions, profit p13–14

Key concepts in The Fish Tale, explained

This chapter does not stop to teach rules page by page. The fish story carries five maths ideas, and each one is named below with the NCERT page where the book meets it.

Shapes: drawing fish from a square and a triangle

Why does a maths chapter open with drawing? Because every shape around you is built from simpler ones. A square can become the fish’s body and a triangle the tail; add the small details that make it look like a fish (p1).

Later, on page 4, the book turns this around: it shows sea animals — octopus, crab, jellyfish, prawn, squid and more — and asks you to draw them using shapes yourself. The maths idea hiding here is that any flat shape can be made from simple ones, which is exactly the eye you need for geometry.

Big numbers: the whale shark, lakh and crore

The chapter’s first big-number idea is size. The whale shark is the biggest fish — 18 m long and about 16000 kg, roughly the height of 12 children of your size standing one on top of another (p2).

Its second big-number idea is Indian place value. One lakh is one hundred thousand, and the country has about one hundred lakh fishworkers — a number with its own name, one crore (p10).

Number name In digits Zeroes
One lakh 1,00,000 5
One crore 1,00,00,000 7

The book’s own checks on page 10: with about two lakh boats and half without motors, the boats with motors number \(200000 \div 2 = 100000\) — one lakh. If about one-fourth of those are big machine boats, that is \(100000 \div 4 = 25000\) — 25 thousand.

Speed, distance and time: how boat sums work

Speed answers one question: how far does the boat go in one hour? The log boat goes about 4 km in one hour (p6); motor boats go about 20 km in one hour (p7).

From that single idea come two rules in words:

  • Distance = speed × time — how far the boat goes in a given time.
  • Time = distance ÷ speed — how long a given distance takes.

Worked example with new numbers: if the log boat travels for 3 hours, it covers \(4 \times 3 = 12\) km. If the long tail boat (12 km per hour) must cover 30 km, it takes \(30 \div 12 = 2.5\) hours.

Try the chapter’s own checks with the same method: how long does the log boat take for 10 km (p6)? How far does the motor boat go in \(3\frac{1}{2}\) hours, and how long does it take for 85 km (p7)?

Multiplication: reading the boat catch table

The table on page 9 packs four boats into one grid. Reading it is the real lesson: each row gives two facts — the catch in one trip and the speed.

Type of boat Catch in one trip (kg) Speed
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

When a question says “in all”, it is asking for a total, and a total made of equal groups is multiplication. Here are worked examples for all four boats with trip numbers the book does not use:

Boat New question Working Answer
Log boat Catch in 8 trips \(20 \times 8\) 160 kg
Long tail boat Catch in 11 trips \(600 \times 11\) 6600 kg
Motor boat Catch in 5 trips \(800 \times 5\) 4000 kg
Machine boat Catch in 9 trips \(6000 \times 9\) 54,000 kg

You can do the same with time and fresh numbers: in 3 hours the machine boat covers \(22 \times 3 = 66\) km. Then check yourself with the book’s own question — about how much fish does each boat bring in seven trips? The log boat, for example, brings \(20 \times 7 = 140\) kg.

Fractions: the one-third rule for dried fish

Fractions here do real work — they tell you how much money to spend and how much weight drying removes. On page 11, Basheer splits ₹100: one-fourth on squid and three-fourths on prawns. On pages 13–14, the drying rule is that fresh fish becomes one-third of its weight when dried.

That means dried fish is lighter, not heavier. Worked example: 6 kg fresh fish dries to \(6 \div 3 = 2\) kg, and 6000 kg fresh dries to \(6000 \div 3 = 2000\) kg.

Here is the full profit check the women do before starting the factory, step by step (p14):

  1. Step 1: Drying shrinks 6 kg of fresh fish to \(6 \div 3 = 2\) kg of dried fish.
  2. Step 2: Fresh fish costs ₹15 per kg, so 6 kg cost \(6 \times 15 = \text{₹}90\).
  3. Step 3: Dried fish sells at ₹70 per kg, so 2 kg brings \(2 \times 70 = \text{₹}140\).
  4. Step 4: Profit on 6 kg of fresh fish: \(140 – 90 = \text{₹}50\).

\[ 6000\ \text{kg is } 1000 \times 6\ \text{kg, so profit} = 50 \times 1000 = \text{₹}50,000 \]

Step 5: Monthly costs are salt \(1500 \times 2 = \text{₹}3000\) plus packing and bus charges ₹3000, so \(3000 + 3000 = \text{₹}6000\).

\[ 50,000 – 6,000 = \text{₹}44,000 \]

Final answer: the bank earns ₹44,000 every month — the same total Fazila announces in the chapter.

The common slip is to think dried fish is three times as heavy. It is the opposite: drying takes weight away, so you always divide by 3, never multiply.

Money: fish market prices, savings and loans

Fish are sold by the kilogram, so every market price is a rate — so many rupees per kg. Fazila’s kingfish is a price sum: 8 kg for ₹1200 gives \(1200 \div 8 = \text{₹}150\) per kg (p11). Prawns are ₹150 per kg, sardines ₹40, swordfish ₹60 and squid ₹50.

New worked example: buying 3 kg of prawns and 2 kg of squid costs \((3 \times 150) + (2 \times 50) = 450 + 100 = \text{₹}550\).

Then the chapter moves to saving and borrowing (p12). The Meenkar Bank has 20 members saving ₹25 each per month: \(20 \times 25 = \text{₹}500\) in one month, and \(500 \times 120 = \text{₹}60,000\) in ten years.

Loans are repaid monthly. Gracy pays \(345 \times 12 = \text{₹}4140\) on a ₹4000 loan, and Jhansi’s family repays \(23,520 \div 12 = \text{₹}1,960\) per month. The extra money paid back on top of the loan is the interest.

The drying factory’s equipment — a bore well, 20 bamboo racks, 4 cement tanks, 20 trays with knives and 20 buckets — totals ₹54,500 (p13).

Reading the pictures: a walk through the chapter’s figures

Try to use a square and a triangle to draw a fish.
Try to use a square and a triangle to draw a fish. Source: NCERT
The biggest fish is the whale shark.
The biggest fish is the whale shark. Source: NCERT
One whale shark was as long as 18 m.
One whale shark was as long as 18 m. Source: NCERT
To see the difference between whales and fish look carefully at their tails.
To see the difference between whales and fish look carefully at their tails. Source: NCERT
Fish like to swim together in the sea in big groups called "schools" of fish.
Fish like to swim together in the sea in big groups called "schools" of fish. Source: NCERT
To scare away the bigger fish, some small fish drink up a lot of water, swell up and look big!
To scare away the bigger fish, some small fish drink up a lot of water, swell up and look big! Source: NCERT
Guess how far you can go in one hour if you walk fast.
Guess how far you can go in one hour if you walk fast. Source: NCERT
Fishermen can feel the wind and look at the sun to find out which way to go.
Fishermen can feel the wind and look at the sun to find out which way to go. Source: NCERT
Out on the sea, fishermen look for a place where they hope to find a good catch of fish.
Out on the sea, fishermen look for a place where they hope to find a good catch of fish. Source: NCERT
Some boats have motors and go further into the sea.
Some boats have motors and go further into the sea. Source: NCERT
Big machine boat (trawler)
Big machine boat (trawler) Source: NCERT
Look, Fazila can hardly carry this big kingfish!
Look, Fazila can hardly carry this big kingfish! Source: NCERT
3) Gracy sold 6 kg sword fish.
3) Gracy sold 6 kg sword fish. Source: NCERT
She is sure that the shells that she sells will be there no more.
She is sure that the shells that she sells will be there no more. Source: NCERT
But if we dry 6000 kg we can earn ₹ × 1000 in one month!
But if we dry 6000 kg we can earn ₹ × 1000 in one month! Source: NCERT

The pictures in The Fish Tale are not decoration — each one carries a maths idea. Read them the way the chapter does.

A fish from a square and a triangle (page 1)

A child's drawing of a fish built from a square body and a triangle tail, showing how simple shapes join to make a picture
Try to use a square and a triangle to draw a fish. Source: NCERT

The first picture question asks you to build a fish from two shapes you already know. The square is the body and the triangle is the tail; you add the details that make it look like a fish. The lesson is that every complicated shape is made of simple ones.

The whale shark: size as a number story (page 2)

The whale shark swimming in the sea, the biggest fish in the world, large and spotted but described in the book as quite harmless
The biggest fish is the whale shark. Source: NCERT

The whale shark is the biggest fish — big and dangerous-looking, but the book says it is quite harmless and does not attack humans. Its name is the trap: despite being called a shark, this is a fish, not a whale.

One whale shark as long as 18 metres drawn beside twelve children standing one on top of another to compare its length
One whale shark was as long as 18 m. Source: NCERT

The second picture gives the same fish two numbers to feel its size: 18 m long, drawn beside 12 children of your size standing one on top of another, and about 16000 kg in weight. The two questions that follow — write your own weight, estimate 12 children’s total, then subtract — are the maths hiding in the picture.

Whale tails, fish tails and schools of fish (page 3)

A fish tail standing flat along its body next to a whale tail shaped almost like two legs, showing how whales differ from fish
To see the difference between whales and fish look carefully at their tails. Source: NCERT

This picture settles the whale-versus-fish question with the tail: a fish tail stands flat along its body, while a whale’s tail looks almost like two legs. The chapter adds that whales breathe through their noses and give birth to babies, while fish take in water and lay eggs.

A big group of fish swimming together in the sea, called a school of fish, where small fish feel safe from bigger ones
Fish like to swim together in the sea in big groups called “schools” of fish. Source: NCERT

The word “school” has a second meaning here: a school of fish is a big group swimming together, and small fish feel safe in it. The book even jokes with you — do you feel safe in your school?

Boats: from walking speed to trawlers (pages 6–8)

A child walking fast beside a log boat on the sea, a picture question asking how far you can go in one hour
Guess how far you can go in one hour if you walk fast. Source: NCERT

Page 6 asks you to guess how far you can go in one hour if you walk fast. That guess is your measuring stick: a log boat goes about 4 km in one hour, so you can judge whether the boat is fast or slow compared with you.

Motor boats with engines heading further into the sea, boats that travel about 20 kilometres in one hour and catch more fish
Some boats have motors and go further into the sea. Source: NCERT

Motor boats change the numbers. They go about 20 km in one hour — five times as fast as the log boat — which is why they can go further into the sea and catch more fish.

A big machine boat called a trawler with its large net, the boat that goes far out and catches baby fish too
Big machine boat (trawler). Source: NCERT

The trawler is the biggest machine boat, and its picture comes with a worry. Trawlers drag big nets deep in the sea, stay out for many days and catch baby fish too; the smaller boats let baby fish pass so they can grow.

The fishermen’s argument is a maths argument — if trawlers take thousands of kilograms every day, there will soon be nothing left in the sea (p8).

The market, the kingfish and the drying factory (pages 11 and 14)

Fazila struggling to carry a very large kingfish that weighs 8 kilograms and sells for 1200 rupees for the whole fish
Look, Fazila can hardly carry this big kingfish! Source: NCERT

Fazila can hardly carry the kingfish in this picture, and the picture is the price problem. It weighs 8 kg and she wants ₹1200 for the whole fish, so the price per kg is \(1200 \div 8 = \text{₹}150\) — the answer to the first Practice Time question.

Women at the drying factory with baskets of dried fish, where 6000 kilograms of fresh fish shrink to one-third of their weight
But if we dry 6000 kg we can earn ₹ × 1000 in one month! Source: NCERT

The last picture shows the drying factory plan that earns the women their profit. The missing number in the bubble is the ₹50 profit on each 6 kg lot: fresh fish dries to one-third of its weight, and drying 6000 kg sets off the chain that ends with the bank earning ₹44,000 a month (p14).

Other story pages carry smaller pictures too — the fish that swells up to scare bigger fish on page 4, the sun and the fishermen on page 7, and the sea-shell tongue twister on page 12. They are part of the story; the maths sits in the questions next to them.

Words to know from The Fish Tale

These are the chapter’s special words, in one line each — handy for a parent helping at home.

Word What it means NCERT page
haiku A three-line nature poem, popular in Japan p1
Meen, Meenakshi “Meen” means fish; Meenakshi is a girl whose eyes look like a fish p1
whale shark The biggest fish — harmless despite its size, and not a whale p2
school of fish A big group of fish swimming together for safety p3
log boat A simple boat made from logs of wood tied together p5
speed How far a boat goes in one hour p7
trawler A very big machine boat that drags deep nets and catches baby fish too p8
lakh One hundred thousand — written 1,00,000 p10
crore One hundred lakh — written 1,00,00,000 p10
interest The extra money paid back on a loan, on top of the amount borrowed p12

Common mistakes in The Fish Tale and how to fix them

The word problems in this chapter hide a few classic traps. Here they are, named before you meet them.

Mistake Correct rule How to check your answer
Writing one lakh with the wrong number of zeroes One lakh = 1,00,000 (5 zeroes); one crore = 1,00,00,000 (7 zeroes) Count the zeroes after the 1 in groups of two — lakh ends with 5, crore with 7
Multiplying instead of dividing to find time Time = distance ÷ speed, so 10 km at 4 km/h is \(10 \div 4 = 2.5\) hours Work backwards: 2.5 hours × 4 km/h = 10 km
Forgetting the half hour in three and a half hours \(3\frac{1}{2}\) hours = 3.5 hours, so the motor boat covers \(20 \times 3.5 = 70\) km Write \(3\frac{1}{2}\) as 3.5 before multiplying; 20 × 3 = 60 is only the whole hours
Thinking dried fish is three times heavier Drying shrinks fish to one-third, so 6000 kg fresh gives \(6000 \div 3 = 2000\) kg dried Dried fish must be lighter than fresh — divide by 3, never multiply
Mixing up kg and rupees in market sums Always attach the unit: ₹1200 for 8 kg gives \(1200 \div 8 = \text{₹}150\) per kg Read your answer aloud — “₹150 per kg” makes sense; “150 kg” does not
Forgetting a year of repayments is 12 months Monthly × 12 = yearly: \(345 \times 12 = \text{₹}4140\); yearly ÷ 12 = monthly: \(23,520 \div 12 = \text{₹}1,960\) For Gracy, compare ₹4140 with the ₹4000 borrowed — the extra ₹140 is the interest

What you should be able to do after Chapter 1

Each item below comes from a question the chapter actually asks. If you can do all six, you have finished the chapter’s maths.

  • Read the boat table (p9) and multiply a boat’s catch by the number of trips — the chapter asks for seven trips.
  • Use speed to find distance or time — the log boat’s 10 km on page 6 and the motor boat’s \(3\frac{1}{2}\) hours on page 7.
  • Write lakh and crore in digits without losing zeroes (p10).
  • Work out price per kg from a total price, like Fazila’s 8 kg kingfish at ₹1200 (p11).
  • Use one-fourth, three-fourths and one-third in money and weight sums (p11 and p14).
  • Work out monthly savings and loan repayments, like the Meenkar Bank’s ₹25-a-month saving and Jhansi’s yearly repayment (p12).

The chapter’s two Practice Time blocks give you a quick self-test. Full working with units — ₹, kg, km, hours — is what a complete answer shows.

Practice block Question Answer
Practice Time, p11 Price per kg of Fazila’s kingfish \(1200 \div 8 = \text{₹}150\) per kg
Practice Time, p11 Floramma’s money from 10 kg prawns \(10 \times 150 = \text{₹}1500\)
Practice Time, p11 Mini’s sardines to match Gracy’s swordfish Gracy earns \(6 \times 60 = \text{₹}360\); Mini sells \(360 \div 40 = 9\) kg
Practice Time, p11 Basheer’s squid and prawns from ₹100 One-fourth of ₹100 = ₹25 → \(25 \div 50 = \frac{1}{2}\) kg squid; three-fourths = ₹75 → \(75 \div 150 = \frac{1}{2}\) kg prawns
Practice time, p12 Gracy’s repayment for one year \(345 \times 12 = \text{₹}4140\)
Practice time, p12 Jhansi’s payment every month \(23,520 \div 12 = \text{₹}1,960\) per month

The book’s own note calls this opening chapter a creative revision of ideas learnt earlier, and the checklist shows why: multiplication, money, fractions and shapes all come back inside one fish story. A textbook’s contents and the examinable syllabus are not always identical, so check the current official syllabus for what your school assesses.

The Fish Tale at a glance: every skill in one table

The chapter closes with a “Find out” activity rather than a printed summary, so this recap is built from the questions the chapter itself asks.

Skill One-line example NCERT page
Shapes Draw a fish from a square and a triangle p1
Length The whale shark, 18 m, is as long as about 12 children stacked p2
Speed Log boat 4 km per hour; motor boat 20 km per hour p6–7
Boat catch 20 kg, 600 kg, 800 kg and 6000 kg in one trip p9
Large numbers 1 lakh = 1,00,000; 1 crore = 1,00,00,000 p10
Price 8 kg kingfish for ₹1200 → ₹150 per kg p11
Fractions One-fourth and three-fourths of ₹100 p11
Savings 20 × ₹25 = ₹500 per month; ₹60,000 in ten years p12
Loans ₹23,520 ÷ 12 = ₹1,960 per month p12
Drying 6000 kg fresh → 2000 kg dried; profit ₹44,000 p14

Things to try: activities from The Fish Tale

This chapter is built around do-it activities, so try them while you read — each one takes a few minutes.

  • Draw a fish using a square and a triangle (p1).
  • Look for fish designs on cloth, in paintings and on mats (p1).
  • Draw sea animals — octopus, crab, jellyfish, prawn and more — from shapes (p4).
  • Watch where the sun rises from where you are, and name two things to your west (p7).
  • Write a news report about the dangers faced by fish in rivers and seas (p8).
  • Say the tongue twister, “She sells sea shells on the sea-shore”, faster and faster (p12).
  • Find out about the words and tunes of fishermen’s songs (p15).

If the download at the top of this page does not open, go straight to the official NCERT Math-Magic page on ncert.nic.in, where the whole Class 5 book — including The Fish Tale — can be read or printed for free.

Working through the whole book? The Class 5 NCERT books hub gathers what this site holds for the class, and the Math-Magic book page places Chapter 1 among the other chapters of the Class 5 mathematics textbook.

For revision rather than the book itself, the CBSE notes section holds the Class 5 notes hub and the Class 5 mathematics notes; the next chapter in this book, Shapes and Angles, has its own revision notes page.

NCERT publishes the textbook and the official PDFs; boards and schools decide the syllabus and how the chapter is assessed.


What the chapter holds Count Where it is used
Printed pages 15
Figures with NCERT captions 15
Tables 4
Activities 2
Official NCERT PDF Download the chapter PDF the chapter exactly as NCERT publishes it

Reference: NCERT Class 5 Mathematics (Math-Magic) textbook, chapter 1, official edition on ncert.nic.in.

Frequently asked questions about The Fish Tale

Is the whale shark a whale or a fish?

The whale shark is a fish — the biggest fish in the story. Whales breathe through their noses and give birth to babies; fish take in water and lay eggs. The whale shark looks dangerous, but the book says it is quite harmless (p2).

How many zeroes are in one lakh and one crore?

One lakh has 5 zeroes: 1,00,000. One crore has 7 zeroes: 1,00,00,000. Because one crore is one hundred lakh, it is exactly one hundred times bigger (p10).

What are the speeds and catches of the boats in The Fish Tale?
  • Log boat: 20 kg in one trip, 4 km per hour
  • Long tail boat: 600 kg in one trip, 12 km per hour
  • Motor boat: 800 kg in one trip, 20 km per hour
  • Machine boat: 6000 kg in one trip, 22 km per hour

These are all on page 9.

How much dried fish do you get from fresh fish?

One-third. Fresh fish dries to one-third of its weight, so 6 kg of fresh fish gives 2 kg of dried fish, and 6000 kg gives 2000 kg (p14).

How does the Meenkar Bank work?

Twenty fisherwomen run it. Each saves ₹25 every month, so the group collects \(20 \times 25 = \text{₹}500\) per month. Members borrow for things like nets and boats and return the loan with interest, paying a fixed amount every month (p12).

Where can I download the official The Fish Tale Class 5 PDF?

The official NCERT PDF is linked at the top of this page — Download The Fish Tale Class 5 chapter PDF from NCERT — and the same file lives on the ncert.nic.in textbook page.


Related

More from this section