NCERT Solutions for Class 2 Maths Chapter 4 Shadow Story (Togalu) (PDF) – 2027
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NCERT Solutions for Class 2 Maths Joyful Mathematics Chapter 4 Shadow Story (Togalu) – step-by-step answers to every exercise and in-text question of the chapter, as per the latest NCERT syllabus for 2027. Read them online or download the free question-answer PDF.
This chapter is about shadows and flat shapes. We meet circles, rectangles, triangles and squares, and we make patterns.
NCERT Solutions for Class 2 Maths Joyful Mathematics Chapter 4 Shadow Story (Togalu) PDF
All the answers are on this page below. The PDF also explains every answer – why it is right and how to check it – so download it for revision.
NCERT Solutions for Class 2 Maths Joyful Mathematics Chapter 4 Shadow Story (Togalu) – Questions and Answers
All 58 questions of the chapter (textbook pages 32 – 43) are answered below, in the order of the book – in-text questions, activities and the end-of-chapter exercises. Each answer is written the way you would write it in the exam.
In-text Questions — Page 32Shadow Story (Togalu) — shadows on the wall
Q1How are these shadows forming?
Answer
Something blocks the light. A dark shape falls behind it.
Light shines on the figures.
The figures stop some light.
A dark shape falls on the screen.
Q2They also wanted to make shadows. So, they made different animal shadows on the wall with their fingers. You can also try to make the shadows.
Answer
Make a dog with your hands!
Sit between a lamp and a wall.
Hold your hands in the light.
Join your hands like the picture. Move your fingers.
Let us Do — Page 33Shadow role-play
Q1Do a role-play by making the shadows of different animals and creating their sounds.
Answer
Make a shadow. Then make its sound.
Make a dog shadow. Say “Bow-wow!”
Make a bird shadow. Say “Chee-chee!”
Let a friend guess the animal.
Let us Talk — Page 33Talking about shadows
Q1A. Have you seen your own shadow or the shadow of a tree, a dog, a cow or any other animal?
Answer
Yes, I have seen them.
Go out on a sunny day.
Look at the ground near your feet.
Look near a tree or a cow too.
Q2B. When do we see a shadow?
Answer
When light falls on a thing.
There must be light, like the sun or a torch.
Something must block the light.
Q3C. When does a shadow vanish?
Answer
When there is no light.
Switch off the torch.
The shadow goes away.
In the dark night, there is no shadow.
Fun with Shadows — Page 33Torch light and shadows
Q1Now put the torch light on the objects around you and observe the shapes of their shadows.A torch shines on each thing. A shadow falls behind it.
Answer
Each shadow has the shape of its thing.
Box: a shadow with straight edges.
Cone: a pointed shadow.
Tin (cylinder): a long shadow.
Ball: a round shadow.
Q2A. Will the size of shadows change on changing the position of the torch?A torch shines on each thing. A shadow falls behind it.
Answer
Yes. The size changes.
Bring the torch close. The shadow grows big.
Move it far away. The shadow gets small.
Shine it from low down. The shadow gets long.
Q3B. At what time of the day is your shadow longest?
Answer
Early in the morning and late in the evening.
Then the sun is low in the sky.
Low light makes a long shadow.
Q4C. At what time of the day is your shadow shortest?
Answer
At noon.
At noon the sun is over your head.
Light from above makes a short shadow.
Let us Trace — Page 34Trace things around you
Q1A. Trace the shape of the objects around you. For example, eraser, leaf, matchbox, sharpener, pencil colour, etc.A pencil at the edge of a matchbox, ready to trace.
Answer
Put it down. Draw all around it.
Put the eraser flat on paper.
Hold it still with one hand.
Run your pencil all around its edge.
Q2B. Draw the shapes you get after tracing.
Answer
Rectangles, a circle and a leaf shape.
The lines you get when you trace around these things.
Matchbox and eraser: rectangles.
Bottle cap or coin: a circle.
Leaf: a leaf shape.
Let us Think — Page 34Things with the same trace
Q1Write the names of objects that have the same trace as: A. Bottle cap ________ ________ ________
Answer
Coin, bangle, plate
A bottle cap gives a circle.
Find things that also give a circle.
Your answers can be different.
Q2Write the names of objects that have the same trace as: B. Eraser ________ ________ ________
Answer
Matchbox, sharpener, book
An eraser gives a rectangle.
Find things that also give a rectangle.
Your answers can be different.
Hide and Seek — Pages 35–36Circle looks for Rectangle
Q1Circle ◯ and rectangle ▭ are playing hide and seek. Rectangle is hiding from the circle. Circle: “Where are you? Are you behind the photo frame?”The room where the shapes play hide and seek.
Answer
No. Rectangle is behind the shoe box.
Look at the floor.
Rectangle peeps out from behind the shoe box.
Q2Circle ◯ and rectangle ▭ are playing hide and seek. Rectangle is hiding from the circle. Circle: “Where are you? Are you behind the TV?”The room where the shapes play hide and seek.
Answer
No. He is behind the shoe box.
The TV screen is a rectangle.
But Rectangle is not there.
Circle finds him behind the shoe box.
Q3Circle ◯ and rectangle ▭ are playing hide and seek. Rectangle is hiding from the circle. Rectangle: “It is my turn now 1, 2, 3…10” Circle: “Where should I hide?”The room where the shapes play hide and seek.
Answer
Behind the clock or the ball.
Look for round things in the room.
The clock on the wall is round.
The ball on the floor is round.
They all are playing together now — Page 37Where can each shape hide?
Q1A. Circle ◯ can hide in the clock, ball, ________, ________.The room where the shapes play hide and seek.
Answer
Circle can hide in the clock, ball, plate, round table.
Look for round things.
The plate on the table is round.
The top of the table is round too.
Q2B. Rectangle ▭ can hide in the shoe box, photo frame, ________, ________.The room where the shapes play hide and seek.
Answer
Rectangle can hide in the shoe box, photo frame, TV, door.
Look for things with 4 straight edges.
The TV screen is a rectangle.
The door is a rectangle too.
Q3C. But Triangle △ and Square □ are confused and wonder where to hide now. Suggest them some places where they can hide. i. Triangle △ can hide in ________, ________.The room where the shapes play hide and seek.
Answer
Triangle can hide in the samosa, the party cap.
Look for things with 3 corners.
The samosa on the plate has 3 corners.
The cap on the drawer looks like a triangle.
Q4C. But Triangle △ and Square □ are confused and wonder where to hide now. Suggest them some places where they can hide. ii. Square □ can hide in ________, ________.The room where the shapes play hide and seek.
Answer
Square can hide in the dice, a floor tile.
Look for things with 4 equal sides.
The dice on the table has square faces.
Each floor tile is a square.
Colour the Carpet — Page 37Colour each shape
Q1Colour the Triangles red.The carpet, ready to colour.
Answer
Colour 7 triangles red.
The carpet with this shape coloured.
Find shapes with 3 corners.
They are around the big circle.
Count them: 7.
Q2Colour the Circles green.The carpet, ready to colour.
Answer
Colour 17 circles green.
The carpet with this shape coloured.
The big circle is in the middle: 1.
The small ones are on the border: 16.
16 and 1 make 17.
Q3Colour the Rectangles yellow.The carpet, ready to colour.
Answer
Colour 8 rectangles yellow.
The carpet with this shape coloured.
Find the long, thin boxes on the border.
There are 2 on each of the 4 sides.
Count: 2, 4, 6, 8.
Q4Colour the Squares blue.The carpet, ready to colour.
Answer
Colour 4 squares blue.
The carpet with this shape coloured.
Look just inside the border.
There is one square in each corner.
Count them: 4.
Q5Make your own design with different shapes and colour them.
Answer
Draw and colour your own carpet.
Draw a big rectangle.
Put circles and squares on the border.
Put triangles in the middle. Colour them.
Catch the Corner! — Page 38Look at the picture and answer the following questions.
Q1Naveen and his friends are playing a game. Naveen is standing facing the wall and clapping. His friends are running along the table as he claps. When he stops clapping, everybody stops. The child who is not at a corner will be out. Then the child will clap and the game will go on. Look at the picture and answer the following questions. A. Name the children standing near the corners of the table.The table seen from above. The names are from the book.
Answer
Udit, Paramjeet, Naysa and Seema.
The table has 4 corners.
Find the child at each corner.
One child at each: 4 children.
Q2Naveen and his friends are playing a game. Naveen is standing facing the wall and clapping. His friends are running along the table as he claps. When he stops clapping, everybody stops. The child who is not at a corner will be out. Then the child will clap and the game will go on. Look at the picture and answer the following questions. B. Can you tell who will clap next?The table seen from above. The names are from the book.
Answer
Wasim.
There are 4 corners, but 5 children run.
Wasim is not at a corner.
So Wasim is out.
Q3Naveen and his friends are playing a game. Naveen is standing facing the wall and clapping. His friends are running along the table as he claps. When he stops clapping, everybody stops. The child who is not at a corner will be out. Then the child will clap and the game will go on. Look at the picture and answer the following questions. C. Where is Wasim standing?The table seen from above. The names are from the book.
Answer
In the middle of the long side, away from the corners.
Wasim is at the back of the table.
Paramjeet is on one side of him.
Naysa is on his other side.
Q4Naveen and his friends are playing a game. Naveen is standing facing the wall and clapping. His friends are running along the table as he claps. When he stops clapping, everybody stops. The child who is not at a corner will be out. Then the child will clap and the game will go on. Look at the picture and answer the following questions. D. Can this game be played around a round table? Why or why not?The table seen from above. The names are from the book.
Answer
No.
A round table has a curved edge.
It has no corners.
No one can stand at a corner.
Q5E. Name the objects around us that have straight edges.
Answer
Table, book, door, blackboard
Run your finger along the edge.
If it does not bend, it is straight.
Q6F. Many objects around us have curved edges. Some are shown below. Explore and share the names of such objects that you see around.Things with curved edges: a ball, a clock and a watermelon.
Answer
Plate, bangle, coin, orange
Run your finger along the edge.
If it bends round, it is curved.
Let us Think — Page 39Corners and curved edges
Q1A. How many corners do objects with curved edges have?
Answer
0 — no corners.
Look at a ball or a coin.
Run your finger round its edge.
It never turns at a point.
Q2B. Name the objects that have both straight and curved edges? ________ ________ ________
Answer
Glass, bucket, slice of watermelon
Look at a glass from the side.
Its two sides are straight.
Its top and bottom are curved.
Origami Fun! — Page 39Make a paper dog
Q1A. Take a paper and fold it to make it a square. B. It has ____ corners and ____ edges.The steps to fold a paper dog, as in the book.
Answer
It has 4 corners and 4 edges.
A square: 4 corners (yellow) and 4 edges (blue).
Touch each corner and count: 1, 2, 3, 4.
Run a finger on each edge: 1, 2, 3, 4.
Q2C. Fold it in half by joining two corners as shown in the picture. D. Tick ✓ the shape which you get.The steps to fold a paper dog, as in the book.The three shapes to choose from.
Answer
iii. The tick goes on the triangle.
The tick goes on the triangle.
Bring the top corner down to the bottom corner.
Press the fold flat.
Now the paper has 3 corners.
Q3E. This shape has ____ corners and ____ edges.The steps to fold a paper dog, as in the book.
Answer
This shape has 3 corners and 3 edges.
A triangle: 3 corners (yellow) and 3 edges (blue).
Count the corners: 1, 2, 3.
Count the edges: 1, 2, 3.
Q4F. Fold the paper again into half to get a triangle and then unfold it. G. Now make two triangles from two corners of the triangle. H. How many corners are there now? ____The steps to fold a paper dog, as in the book.
Answer
5 corners
Count the pointed corners after folding the ears.
Fold the two top corners down. These are the ears.
Count the pointed corners: 2 on top, 2 ears, 1 at the bottom.
Count: 2, 4, 5.
Q5I. Fold the third corner upwards and make the nose and eyes as shown. Your paper dog is ready!The steps to fold a paper dog, as in the book.
Answer
Your paper dog is ready!
Fold the bottom tip up a little.
Draw two dots for eyes.
Draw a small triangle for the nose.
Q6Can you fold the square sheet in such a way so as to get a shape with 4 sides? How many corners does it have now?The steps to fold a paper dog, as in the book.
Answer
Yes. It has 4 corners.
Fold the square in half, edge on edge. You get a rectangle.
Fold the square in half, edge on edge.
You get a rectangle.
Count its corners: 1, 2, 3, 4.
Patterns — Page 40Stamp and trace designs
Q1A. Make designs by stamping objects having different shapes like — bottle caps, erasers, pencils, coins, etc.
Answer
Dip, press, lift — and repeat!
A sample design: bottle cap, eraser, cap, eraser … and a row of pencil prints.
Dip a bottle cap in paint.
Press it on paper. Lift it.
Then stamp an eraser. Keep the same order.
Q2B. Radha is applying mehandi on her hands. You can also trace your hand to make a mehandi pattern or design.
Answer
Trace your hand. Fill it with a design.
Put your hand flat on paper.
Draw all around your fingers.
Fill it with dots, circles and lines.
Let us Do — Page 41Leaf prints
Q1Nitya is playing with leaves and making patterns.Nitya’s leaf pattern: groups of 4 leaves, one high, one low.Now you also collect some leaves and make a pattern. Paint one side of the leaf and print it on the space given below.
Answer
Paint, press and repeat, like Nitya.
Paint one side of a leaf.
Press it on paper. Lift it gently.
Make groups of 4 leaves, one high, one low.
Project Work — Page 41A wall hanging of shapes
Q1Make a wall hanging using cutouts of different shapes with the help of your elders to decorate your home or classroom.
Answer
Make a wall hanging of shapes.
Cut circles, squares and triangles from coloured paper.
Stick them on a long string in an order.
Hang it up with an elder’s help.
Extend the following patterns — Page 42Picture and letter patterns
Q1Extend the following patterns. A.The arrows in the book.
Answer
↑ ↓ ↑ ↓
Up, down, up, down …
Read the arrows: up, down, up, down.
Up and down come again and again.
So draw up, down, up, down.
Q2Extend the following patterns. B.The flowers. The last three have only the centre dot.
Answer
1 petal, 3 petals, 5 petals
Flowers with 1, 3, 5 petals, again and again.
Count the petals: 1, 3, 5.
Then again: 1, 3, 5.
On the three dots, draw 1, 3, 5 petals.
Q3Extend the following patterns. C.The half circles on the strip.
Answer
Keep turning the half circle.
Each shape turns a quarter turn: flat side down, left, up, right.
See the flat side: down, left, up, right.
The 5th one is flat side down again.
Next: left, up, right, down … to the end.
Q4Extend the following patterns. D.Four squares, then three empty boxes.
Answer
Blue part at the top, then left, then bottom.
The blue part moves: top, left, bottom, right.
The blue triangle moves: top, left, bottom, right.
Then it starts again at the top.
Q5Extend the following patterns. E.Six seeds with marks, then six empty seeds.
Answer
Draw the six seeds again.
The six seeds repeat.
Marks: 1 up, 1 down, 2 down, 2 up, 3 up, 3 down.
Put the same marks on the six empty seeds.
Q6Extend the following patterns. F.A border of leaf shapes, V shapes and small rings.
Answer
Draw the same leaves, Vs and rings.
The same leaves, Vs and rings go on to the end.
Look at one part: two leaf shapes, a V on top and a ring.
Draw it again and again to the end.
Q7Extend the following patterns. G. AB BC CD ____________
Answer
DE EF FG
Each pair has two letters in order: A B.
The next pair starts with the last letter: B C.
So after C D come D E, E F, F G.
Q8Extend the following patterns. H.Each letter, then the same letter turned the other way.
Answer
F and a back-to-front F, G and a back-to-front G
Each letter, then the same letter turned the other way.
Each letter comes two times.
The second one is turned the other way.
It looks like the letter in a mirror.
Q9Extend the following patterns. I.A wall of yellow and red bricks.
Answer
Go on: yellow, red, yellow, red.
The wall goes on: yellow, red, yellow, red.
Top and bottom rows: yellow, red, yellow, red.
The middle row starts with half a red brick.
Each brick sits between two bricks above.
In-text Questions — Page 43Kikku rabbit’s jumps
Q1Kikku rabbit jumps on the 4th tile. He forgot where to jump next. Help him by drawing a circle ◯ on the next tiles. 1, 4, ____, ____, ____, ____, ____, ____Kikku’s path of tiles, 1 to 30.
Answer
1, 4, 7, 10, 13, 16, 19, 22
Kikku’s jumps: every third tile.
From 1 to 4 is a jump of 3.
Count 3 on from 4: 5, 6, 7.
Keep going: 10, 13, 16, 19, 22.
Q2Kikku’s mother also jumps on the 6th tile. Help her by putting a × on the next tiles. 1, 6, 11, ____, ____, ____, ____, ____Kikku’s path of tiles, 1 to 30.
Answer
1, 6, 11, 16, 21, 26, 31, 36
Mother’s jumps: every fifth tile.
From 1 to 6 is a jump of 5.
Count 5 on each time: 16, 21, 26.
Go on counting: 31, 36.
Let us Do — Page 43Extend the following number patterns.
Q1Extend the following number patterns. A. 5, 10, 15, ____ ____ ____ ____ ____
Answer
5, 10, 15, 20, 25, 30, 35, 40
Each number is 5 more.
Count 5 on from 15: 16, 17, 18, 19, 20.
Keep adding 5: 25, 30, 35, 40.
Q2Extend the following number patterns. B. 7, 14, 21, ____ ____ ____ ____ ____
Answer
7, 14, 21, 28, 35, 42, 49, 56
Each number is 7 more.
Count 7 on from 21: 22, 23, 24, 25, 26, 27, 28.
Keep adding 7: 35, 42, 49, 56.
Q3Extend the following number patterns. C. 1, 7, 13, ____ ____ ____ ____ ____