Have a query? Let us call you for FREE
X+91
E.g : 9884012345, 01123456789
Office hours: 9:00 am to 9:00 pm IST (7 days a week)
Half-Half
If the cats ask you to divide the chapati equally, how will you divide it?
Solution:
Half of Half
If two more cats come for food, how will you divide one chapati equally for four cats?
Solution:
Half of Many Pieces
Rani got a chocolate. She divided it equally and gave half to her friend Reena.
• Circle the portion that Reena got.
How many pieces of chocolate are there? _______
How many pieces were left with Rani? _______
Solution:
There are 6 pieces of chocolate.
Rani gave half of her chocolate to her friend Reena. Rani was left with the remaining half, that is, 3 pieces.
• Draw different shapes using these triangles. One such shape is shown here.
Solution:
Disclaimer: The answer may vary from student to student, based on his/her observation. The answer provided here is for reference only.
In how many different ways can you cut a rectangle into half?
• Draw 5 different ways.
Can you check if they are equal?
Solution:
Yes, 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?
Solution:
Yes, they are equal.
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? ________
Solution:
Mother gave her share of cake to Rajni. Now colour the total part that Rajni will get.
Solution:
Out of 4 parts Rajni will get _________ parts, which is equal to half of the cake. So she can write it as or .
Solution:
Out of 4 parts Rajni will get 2 parts, which is equal to half of the cake. So she can write it as or .
How much of the cake do Rajni and Raju together get? Colour their total share.
Altogether they get 3 parts out of 4, so we can write it as .
Solution:
Rajni and Raju together get of the total cake.
One day he wants to eat pumpkin halwa (sweet dish). He tries to buy a big pumpkin with only Rs 10. He asks the first pumpkin seller the price of a big pumpkin.
First pumpkin-seller— of this pumpkin is for Rs 10.
• This full pumpkin will cost Rs __________.
Solution:
Cost of of the pumpkin = Rs 10
∴ Cost of 1 full pumpkin = Rs 10 = Rs 40
This full pumpkin will cost Rs 40.
Kundu walks to the next seller and looks for a pumpkin of the same size.
Kundu — How much of this pumpkin will I get for Rs 10?
Second pumpkin-seller — Half.
• This full pumpkin will cost Rs _________.
Solution:
Cost of of the pumpkin = Rs 10
∴ Cost of the full pumpkin = 2Rs 10 = Rs 20
This full pumpkin will cost Rs 20.
Using a Price List
Item | Price in Rs (per kg) |
Tomato Potato Onion Carrot Pumpkin |
8 12 10 16 4 |
Solution:
(a) Cost of 1 kg tomatoes = Rs 8
∴ Cost of kg tomatoes = Rs 8 ÷ 2
= Rs 4
(b) Cost of 1 kg onions = Rs 10
Cost of 1 kg carrots = Rs 16
∴ Cost of kg onions = Rs 10 ÷ 2
= Rs 5
And,
Cost of kg carrots = Rs 16 ÷ 4
= Rs 4
The cost of kg onions is more than the cost of kg carrots.
(c) Cost of 1 kg potatoes = Rs 12
Cost of kg carrots = Rs 12 ÷ 4
= Rs 3
∴ Cost of kg potatoes = Rs 3 × 3
= Rs 9
(d) Keerthi has Rs 20.
Her shopping list includes kg potatoes, 2 kg pumpkins and kg carrots.
Cost of kg potatoes = Rs 12 ÷ 2
= Rs 6
Cost of 2 kg pumpkins = Rs 24
= Rs 8
Cost of kg carrots = Rs 16 ÷ 4
= Rs 4
Total cost of all vegetables = Rs 6 + Rs 8 + Rs 4 = Rs 18
Keerthi can purchase all the vegetables in her shopping list, as she has Rs 20.
(e)
1. How much pumpkin can she buy with the total money?
2. What will be the cost of 2 kg onions?
Disclaimer: It is highly recommended that the students prepare the sample questions on their own.
Make the other half
of the picture is drawn here. Can you complete the picture by drawing the other half?
Solution:
This is a quarter of a picture. Can you complete it? How many more quarters will you draw to complete it? ___________
Solution:
Three more quarters are required to complete the picture.
Half and Quarter of a Metre
Using your metre scale, cut a string of one metre.
• On this string, mark the length metre, metre and metre.
• Using your string, draw a line of length metre on the floor.
How many centimetres long is the line? ___________
Remember, 1 metre = 100 cm
So
metre = ....... cm
metre = ....... cm
metre = ....... cm
Can you see that when we add and we get ?
Solution:
1 m = 100 cm
Line of m on the floor = 100 cm ÷ 2 = 50 cm
So, a line of m on the floor is 50 cm long.
m = 100 cm ÷ 2 = 50 cm
m = 100 cm ÷ 4 = 25 cm
m = 25 cm × 3 = 75 cm
Disclaimer: Students are advised to do the activity by themselves.
Sharing Milk
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.
Remember, 1 litre = 1000 millilitres
• How many millilitres of milk does each bottle have? _________
Solution:
Sharing Milk
Shan poured 1 litre of milk into two bottles so that the first bottle holds litre and the other holds litre.
• Shade the level of milk in each bottle.
• How many millilitres of milk does each bottle hold?
Solution:
Balance the Weight
• Choose from the weights above to make the two pans equal. In how many ways can you do it?
(a) Draw the weights in the empty pan.
Remember, 1kg = 1000 g
Solution:
We know
1 kg = 1000 g
Thus,
2 kg = 21000 g = 2000 g
Following are the different ways in which we can make the two weights equal.
1) 1 kg + 500 g + 500 g = 2000 g
2) 1 kg + 500 g + 250 g + 250 g = 2000 g
3) 1 kg + 500 g + 250 g + 200 g + 50 g = 2000 g
4) 1 kg + 500 g + 200 g + 200 g + 100 g = 2000 g
5) 1 kg + 250 g + 250 g + 250 g + 200 g + 50 g = 2000 g
We can make five different combinations to get 2 kg weight.
Disclaimer: The answer may vary from student to student. The answer provided here is for reference only.
Balance the Weight
In how many different ways can you balance this weight of kg?
(1) .....................
(2) .....................
(3) .....................
Solution:
We know
1 kg = 1000 g
Thus,
kg =
kg =
Following are the different ways in which we can balance the weight of kg:
1) 500 g + 200 g + 50 g = 750 g
2) 250 g + 250 g + 250 g = 750 g
3) 250 g + 250 g + 200 g + 50 g = 750 g
Practice Time
• There are 60 mangoes. of them are ripe. How many mangoes are ripe?
• There are 32 children. of them are girls. How many children are boys?
• There are 20 stars. A quarter of them are red. How many stars are red?
How many are not red?
• 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?
Solution: