NCERT Solutions for Class 3 Maths Chapter 5 Fun with Shapes (PDF) – 2027

Copy Amma’s rangoli dot by dot.

1. An orange square at each corner.
2. A green triangle in the middle of each side.
3. Four blue circles in between.
4. A big yellow square in the middle, standing on a corner.
5. A small red square inside it.

The three shapes are square, triangle and circle.

• The orange shapes at the corners are squares.
• The green shapes are triangles.
• The blue shapes are circles.

(a) Curved lines: 4 — the four blue circles.

(b) Straight lines: 10.

1. Cut squares, triangles and circles from coloured paper.
2. Arrange them on a sheet as a pretty design.
3. Draw around each cut-out with a pencil.
4. Lift the cut-outs and colour inside the outlines.

Match your cut-outs to the pictures.

• Boat: 1 rectangle, 4 triangles, 3 small squares.
• Butterfly: 2 triangles for wings, a circle and an oval for the body, 2 small circles.
• Rocket: 1 rectangle, 3 triangles, 2 small circles and a half circle.

You see rectangles (and sometimes squares).

A box opens out into 6 flat faces. Each face is a rectangle or a square.

Fold a square sheet in four steps.

1. Keep the square standing on a corner.
2. Fold the left and right corners in.
3. Fold the bottom corner up.
4. Fold the top corner down to close it.

All of them have rectangular faces.

The TV screen, the lid of the box and the bar of chocolate are all rectangles.

Because they traced different faces.

• The wooden box has a square face and a rectangle face. So one child got a square and a rectangle.
• The matchbox has three faces of different sizes. So the other child got three different rectangles.

Any three of these are correct:

• a maths book
• a duster
• a brick
• a soap box, a matchbox, a mobile phone, a door

Take an eraser and trace every face.

1. Put the eraser on the page and draw around it.
2. Turn it on to the next face and draw again.
3. Do this for every face.

You get 6 outlines.

You get 6 faces in all.

But only 3 of them are of different sizes. The faces come in pairs. The top matches the bottom, the front matches the back, and one side matches the other side.

They are rectangles.

If the object is a cube, like a dice, then every face is a square.

It depends on the object you chose.

• An eraser usually gives only rectangles. Then write No.
• A sharpener or a dice gives squares. Then write Yes.

No.

Opposite faces of a cuboid are exactly the same. So the six outlines make only 3 different rectangles, each drawn twice.

No.

Every face of a cuboid has 4 sides and 4 square corners. A triangle has only 3 sides.

The faces of a cuboid are rectangular or square in shape.

Add the missing sides to each drawing.

1. Count the dots along the side that is drawn.
2. Draw a side of the same length opposite it.
3. Join the ends.

Draw each new rectangle one dot further out on every side.

There are 10 rectangles.

A rectangle has 4 sides.

Pick any rectangle in the picture and run your finger round it. You touch four straight sides and come back to the start.

A rectangle has 4 corners.

A corner is made where two sides meet. Four sides meet at four places.

Yes.

The two sides facing each other are equal. So a rectangle has two pairs of equal sides.

• A rectangle has 4 straight sides and 4 corners.
• The sides facing each other are equal.
• All its corners are square corners.
• It can be big or small, lying down or standing up.

The difference is in the sides.

• In a square, all four sides are equal.
• In a rectangle, only the opposite sides need to be equal.

Both have 4 sides.

Count the sides of the square: 1, 2, 3, 4. Count the sides of the rectangle: 1, 2, 3, 4.

Both have 4 corners.

All eight of these corners are square corners.

There are 6 squares.

Draw each new square one dot further out on every side.

You get 5 squares.

Every side of a square must be the same length.

1. Count the dots along the side that is drawn.
2. Draw the other sides just as long.
3. Join the ends.

Only 1 shape.

Two squares joined along a side make a rectangle. Standing it up does not make a new shape.

You can make 2 different shapes.

• All three squares in a straight line.
• Two in a line and the third turning the corner, like the letter L.

You can make 5 different shapes.

A straight line of four, a big square, an L, a T and a step shape.

5 shapes are rectangles (tick them). The other 6 are not.

The 6 shapes that are not rectangles have sloping sides, so their corners are not square corners.

Yes.

Fold all four corners in to the middle point. The folded sheet is a smaller square. It still has 4 corners.

With three triangles you can make 4 different shapes.

With four triangles you can make many more (14). Draw each one you find.

The square tile will fit.

Yes, the same tile fits the corner of the maths book too.

Yes, all four corners of a square are the same.

Pile some same-size squares on one another. Every corner sits exactly on the corner below it.

Yes, all four corners of a rectangle are the same.

Pile some same-size rectangles on one another. The corners match exactly.

Yes, they are the same.

Put the corner of a square on the corner of a rectangle. They fit on top of each other.

Things in the class with only square corners:

• the blackboard
• the maths book and the notebook
• the duster
• the window, the door and the desk top

No. The corners of this triangle are not square corners.

Hold the corner of your book against each corner of the triangle. It does not fit any of them.

Join two paper strips at one end, then open them.

• Open like the corner of your book: square corner.
• Open a little: less than a square corner.
• Open wider: more than a square corner.

Yes.

Set the strips to a square corner and hold them on the corner of the table. If both strips lie along the edges, it is a square corner. The table and the board have square corners.

Three shapes have square corners.

• The green square: 4.
• The blue square standing on its corner: 4.
• The tall red rectangle: 4.

The other three shapes have none.

You get 2 squares.

Join every other dot. The top, bottom, left and right dots make one square. The other four dots make the second square.

The boat has 17 corners.

There are 6 square corners.

• The mast (a rectangle): 4.
• The red sail: 1, at the bottom next to the mast.
• The blue sail: 1, at the bottom next to the mast.

Cross one stick over the other.

• A T shape gives 2 square corners.
• A cross (+) gives 4 square corners.

You can make 4 small squares (5, if you count the big outside square).

All of them have triangular faces.

The samosa, the sandwich, the flag and the slice of cake all show a triangle.

Triangles have 3 sides. They have 3 corners.

Run your finger along the shape. You count three straight sides and three corners.

Draw any of these in your notebook and write the name below each one:

• a samosa
• a slice of pizza
• a flag on a stick
• a set square, a hanger, a paper boat’s sail

There are 16 triangles.

There are 16 triangles.

You can make 4 different triangles.

A triangle needs 3 dots. Leave out one of the 4 dots each time. There are 4 dots to leave out, so you get 4 triangles.

Lift the two sticks at the bottom right corner and lay them inside.

Now there are 2 triangles that touch at one point.

Yes, I have been to a circus. I saw a clown with rings, a girl swinging on a ring and a seal with a ball.

A circle is round, like a bangle or a wheel.

• A circle has no straight side and no corner.
• A rectangle has 4 straight sides and 4 corners.

Things that are like circles:

• a bangle
• a bottle cap
• a coin and a chapati
• a wheel, a plate, a clock face

Draw over each dotted ring and colour it.

1. Put a bangle or a bottle cap on the dotted ring.
2. Draw around it with a pencil.
3. Colour the ring with a bright colour.

Trace round things to make circles.

1. Hold the bottle cap firmly on the page.
2. Draw all round its edge.
3. Do the same with a bangle and a ring.

You get circles of different sizes.

Yes.

• In marbles we draw a circle and keep the marbles inside it.
• In ghera games all the children stand in a circle.

Use a rope and a stick.

1. Push a peg into the ground. This is the centre.
2. Tie one end of the rope to the peg.
3. Hold a stick at the other end and keep the rope tight.
4. Walk right round, drawing with the stick.

Yes. The point where the two fold lines meet is the centre of the circle.

A mouse puppet.

1. Cut one big circle for the face and two small circles for the ears.
2. Paste the ears on the face.
3. Draw round eyes, a round nose and whiskers.
4. Fix it on your finger and play.

Tick different.

The square’s corners are square corners. The triangle’s corners are not.

Tick different.

But both are alike in one way — all their sides are straight.

the triangle and the five-sided shape.

• Same: all their sides are straight.
• Different: the triangle has 3 sides and 3 corners; the other has 5 sides and 5 corners.

The red outline shows the largest rectangle in each shape.

• (a) 12 squares across, 3 down
• (b) 12 across, 4 down
• (c) 8 across, 4 down
• (d) 9 across, 4 down

There are 3 triangles.

There will be 6 triangles.

Squares torn: (a) 3, (b) 8, (c) 9, (d) 3, (e) 9, (f) 8.

• Red square: only one with a circle cut out.
• Orange square: only small one.
• Blue triangle: only one with 3 sides.
• Green square: only big plain square.

Tick the 6 rectangles.

Each gap is a rectangle, so only the rectangles fit. The triangles, round shapes, small square and diamond do not fit.

Draw both lines from the top corner: one to the bottom left corner and one to the bottom right corner.

The shape is now cut into 3 triangles.

Draw one line from the top left corner to the bottom right corner, through the inside corner of the L.

You get 3 triangles: small at the top, small at the right, big below.

Draw each shape small, big and turned.

1. Triangle: standing up, lying on a side, upside down.
2. Rectangle: long and flat, tall, standing on a corner.
3. Circle: trace a coin, a bottle cap and a bangle.
4. Your shape: a square, drawn in two sizes.

1. Draw two straight lines across the page.
2. Above them, draw a row of small arcs (half circles).
3. Below them, draw a row of little triangles.
4. Repeat to the end.

Draw the same shape again, starting where the black line stops.

Yes, you can.

1. Cut out the seven tangram pieces.
2. Look at the outline of the shape.
3. Lay the biggest piece first.
4. Fill the rest with smaller pieces. Turn or flip them if needed.