**Halves and Quarters**

*Questions with (*) sign are open ended questions.*

Page 95

If the cats ask you to divide the chapatti equally, how will you divide it?

I will fold the chapatti into two halves and tear them along the middle line.

If two more cats come for food how will you divide one chapati equally for four cats?

First, I will fold the chapatti into two halves and then again fold them into two more halves. I will tear them along the middle lines.

**Half of Many Pieces**

Rani got a chocolate. She divided it equally and gave it to her friend Reena. Circle the portion that Reena got?

Page 96

How many pieces of chocolate are there?

6

How many pieces were left with Rani?

3

Draw different shapes using these triangles. One such shape is shown here.

Page 97

In how many different ways rectangles can you cut a into half? Draw 5 different ways.

Can you check if they are equal?

Each part coincides with the other, therefore they are equal.

In how many different ways can you cut a rectangle into four equal parts? Draw 5 different ways.

Can you check if they are equal?

Each part coincides with the other, therefore they are equal.

Page 98

**Cutting the Cake**

Rajni’s father brought a cake. She divided the cake into 4 equal parts—for herself, her brother Raju, her father and her mother. Colour each share with different colours.

How much does each get?

Each one get one quarter (¼) of the cake.

Mother gave her share of cake to Rajni. Now colour the total part that Rajni will get.

Out of 4 parts Rajni will get __2__ parts, which is equal to half of the cake.

So, she can write it as 2/4 or 1/2.

Colour the share Raju got.

How much of the cake do Rajni and Raju together get? Colour their total share.

Rajni and Raju together got ¾ that is three quarters of the cake.

Page 99

First pumpkin seller ¼ of this pumpkin is for Rs 10.

This full pumpkin will cost Rs ___________.

Cost of one quarter (¼) is Rs 10.

Four quarters make 1 pumpkin.

Cost of 1 pumpkin = 10 X 4

= 40.

Full pumpkin will cost Rs 40.

Kundu—How much of this pumpkin will I get for Rs10?

Second pumpkin seller—Half

This full pumpkin will cost Rs ___________.

Cost of half (½) pumpkin = Rs 10.

Two halves make 1 pumpkin.

Cost of 1 pumpkin = 10 X 2

= 20.

This full pumpkin will cost Rs 20.

Page 100

**Using a Price List**

1a) How much does kg of tomatoes cost?

Cost of 1 kg tomatoes is Rs 8

Cost of kg of tomatoes = 8 X

= 4.

Therefore, cost of kg tomatoes is Rs 4.

1b) Which costs more kg of onions or ¼ kg of carrots?

Cost of 1 kg onions = Rs 10

Cost of ½ kg onions = 10 X ½

= 5

Cost of 1 kg carrots = Rs 16

Cost of ¼ kg carrots = 16 X ¼

= 4

Cost of ½ kg onions is more than ¼ kg carrots.

1c) What is the price of ¾ kg of potatoes?

Cost of 1 kg potatoes = Rs 12

Cost of ¾ kg of potatoes = 12 X ¾

= 36 / 4

= 9

1d) Keerthi is going for shopping. She has only Rs 20 with her. Can she buy all the things in her shopping list?

Cost of 1 kg potatoes = Rs 12

Cost of ½ kg of potatoes = 12 X ½

= 6

Cost of 1 kg pumpkin = Rs 4

Cost of 2 kg of pumpkin = 4 X 2

= 8

Cost of 1 kg carrots = Rs 16

Cost of ¼ kg carrots = 16 X ¼

= 4

Total cost of Keerthi’s shopping list is = 6+8+4

= 18

She can buy all the things in her shopping list.

1e) Make two questions yourself from the price list.

i). find the cost of 2 kg tomatoes?

ii). What is the cost of ¾ kg of carrots?

Page 101

**Practice Time**

1a) What part of the whole is coloured? Write below each shape.

1b) Colour that part of the shape which is written below.

Answer:

c) *Cut in half*

Draw a line which divides these shapes into half.

Page 102

1d) Colour half the number of shapes as shown here.

1e) Colour¼of these shapes.

Answer:

1f ) Match the coloured part as shown.

Answer:

Page 103

1g) half of the picture is drawn here. Can you complete the picture by drawing the other half?

1h) This is a quarter of a picture. Can you complete it? How many more quarters will you draw to complete it? _______________

Page 104

So

½ metre= __50__ cm

¼ metre= __25__ cm

¾ metre= __75__ cm

This bottle is full of milk and it holds one litre. The milk is put into 4 other bottles so that each bottle has litre of milk. Shade the bottles to show the level of milk in each.

How many millilitres of milk does each bottle have? __250 ml__

Shan poured 1 litre of milk into two bottles so that the first bottle holds ¾litre and the other holds¼litre. Shade the level of milk in each bottle.

How many millilitre of milk does each bottles hold?

First bottle hold 750 ml and second bottle hold 250 ml of milk.

Page 105

Choose from the weights above to make the two pans equal. In how many ways can you do it?

1a) Draw the weights in the empty pan.

We can balance in many ways. Some of them are as follows.

2 kg = 1 kg + 500 g + 500 g

2 kg = 500 g + 500g + 250 g + 250 g + 250 g + 200 g +50 g

2 kg = 1 kg + 500 g + 250 g + 250 g

2 kg = 1 kg + 250 g + 250 g + 250 g + 200 g + 50 g

1b) In how many different ways can you balance this weight of¾ kg?

1) ¾ kg = 250 g + 250 g+ 250 g

2) ¾ kg = 500 g + 250 g

3) ¾ kg = 250 g + 250 g+ 200 g + 50 g

Page 106

**Why is It Wrong?**

Kannan shaded some parts as shown. But his friend Mini says that it is wrong. Explain why it is wrong.

It is wrong because instead of ¼ part Kannan has shaded 2/5 part of the shape.

It is wrong because the shaded part is less than ½ part of the triangle.

**Practice Time**

There are 60 mangoes. ½ of them are ripe. How many mangoes are ripe?

Total mangoes = 60

Riped mangoes = 60 X ½

= 30

There are 32 children. ½ of them are girls. How many children are boys?

Total children = 32

Number of girls = ½ X 32

= 16

Number of boys = total children – number of girls

= 32 – 16

= 16

There are 20 stars. A quarter of them are red. How many stars are red? How many are not red?

Total stars = 20

Stars that are red = 20 X ¼

= 5

Stars that are not red = total stars – stars that are red

= 20 – 5

= 15

Ravi wants a pencil. It costs Rs 2. He gives a one-rupee coin, one half-rupee coin and one quarter-rupee coin. Is it enough?

Cost of pencil = Rs 2.

Amount gave by Ravi = 1 rupee + ½ rupee + ¼ rupee

= 1 ¾ rupee

The money gave by Ravi is not enough to buy the pencil.