**“****Halves and Quarters****” **is **Chapter 9 **from **Merry Math IV **for students of** Class 4th **of **JKBOSE**. This particular post is about **Halves and Quarters ****Class 4 Math JKBOSE Solutions**. In a previous post, you read about **Carts and Wheels ****Class 4 Math JKBOSE Solutions. **Let’s get started:

**Halves and Quarters ****Class 4 Math JKBOSE Solutions**

**Page No. 117 Solutions**

**Half-half**

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

Ans. Take a chapati and fold it in such a way that the edges of both the parts touch each other. Then press the chapati on its fold and cut it out in two equal parts.

**Half of half**

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

Ans. Take a chapati and fold it in such a way that the edges of both the parts touch each other. Then press the chapati on its fold and cut it out in two equal parts. After that, take each part one by one and fold it in such a way that the circular edges touch each other at every point, press the fold and divide it. Similarly, the other half should also be divided in the same way.

**Half of Many Pieces**

Meena got a chocolate. She divided it equally and gave half to her friend Veena.

**Circle the portion that Veena got.**

Ans. Veena got half a portion of the chocolate.

**Page No. 118 Solutions**

**How many pieces of chocolate are there?**

Ans. There are six pieces of chocolate.

**How many pieces were left with Meena?**

Ans. Three pieces were left with Meena.

**Many Shapes from a Half Sheet**

Shade the two triangles with different colours.

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

Ans. These are some different shapes using these triangles.

**Page No. 118-119 Solutions**

**Many Ways to Cut Into Half**

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

Ans. These are the 5 different ways to cut a rectangle in half.

**Many Ways to Make Quarters**

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

Ans. A rectangle can be cut into four equal parts as shown:

**Can you check if they are equal?**

Ans. Yes, I can check that they are equal.

**Page No. 120 Solutions**

**Cutting the Cake**

Ameena’s father bought a cake. She divided the cake into 4 equal parts herself, her brother Babloo, her father and her mother.

**Colour each share with different colours.**

**How much does each get?**

Ans. Each gets one-fourth (1/4) of the cake.

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

Ans. Ameena will get half (1/2) of the cake.

Out of 4 parts Ameena will get ** 2 **parts, which is equal to half of the cake.

**So, she can write it as 2/4 or ½ **

**Before Ameena’s mother gave her share to Ameena, she had only ½ of ‘half of the cake’, which was ¼ of the total cake.**

**Colour the share** **Babloo got**

**How much of the cake do Ameena and Babloo together get? Colour their total share.**

Ans. Ameena and Babloo together get 3 parts out of 4. So they get ¾ part of the cake.

**Page No. 121 Solutions**

**Greedy Guddu**

First pumpkin-seller- ¼ of this pumpkin is for ₹10.

**This full pumpkin will cost ___________.**

Ans. This full pumpkin will cost = ₹ ** 40** Ans.

If the cost of ¼ pumpkin is = 10

then the cost of 1 pumpkin is = 10 × 4 **= **₹** 40**

Guddu walks to the next seller and looks for a pumpkin of the same size.

Guddu- How much of this pumpkin will I get for 10?

Second pumpkin-seller – Half

**This full pumpkin will cost ___________.**

Ans. This full pumpkin will cost = ₹ **20**.

If the cost of ½ pumpkin = 10

Then the cost of full pumpkin **= 2 ×10 = **₹** 20**

**Page No. 122 Solutions**

**Using a Price List**

**(A) How much does ½ kg of tomatoes cost?**

Sol. Cost of 1 kg of tomatoes = 8

Cost of ½ kg of tomatoes = ½ x 8 = ₹ 4 Ans.

**(B) Which costs more – ½ kg** of **onions or ¼ kg of carrots?**

**Sol. In the First Case.**

Cost of 1 kg of onions = 10

Cost of ½ kg of onions = ₹10 x ½ = ₹ 5

**In the Second Case.**

Cost of 1 kg of carrots = 16

Cost of ¼ kg of carrots =₹16 x ¼ = ₹ 4

So, Onions cost more than carrots.

**(C) Aruna is going for shopping. She has only 20 with her. Can she buy all the things on her shopping list?**

Sol. Cost of 1 kg of potatoes = ₹ 12

Cost of ½ kg of potato = ₹ 12 × ½ = **₹ 6**

Cost of 1 kg of pumpkin = ₹ 4

Cost of 2 kg of pumpkin = ₹ 4 × 2 = **₹ 8**

Cost of 1 kg of carrots = 16

Cost of ¼ kg of carrots = 16 x ¼ = **₹ 4**

Total cost of ½ kg potatoes + 2 kg pumpkin and ¼ kg of carrots = ₹ (6+8+4) = **₹ 18**

Yes, she can buy all the things on her shopping list.

**(D) What is the Price of ¾ kg of Potatoes?**

Sol. Cost of 1 kg of Potatoes = ₹ 12

Cost of ¾ kg of Potatoes = ₹ 12 × ¾ **= 9 Ans.**

**(E) Make two questions yourself from the price list.**

- What is the price of ¾ kg of pumpkin?
- Which costs more, 2 kg of tomatoes or ¾ kg of carrots?

**Page No. 123 Solutions**

**Practice Time**

**(a) What part of the whole is coloured? Write below in each shape.**

Ans.

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

Ans.

**(c) Cut in half**

**Draw a line which divides these shapes into half.**

Ans.

**Page No. 124 Solutions**

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

Ans.

**(e) Colour ¼ of these shapes**

Ans.

**(f) Match the coloured part as shown.**

Ans.

**Page No. 125 Solutions**

**Make the other half**

**(g) ½ of the picture is drawn here.**

**Can you complete the picture by drawing the other half?**

Ans. Yes, I can complete it by drawing the other half.

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

Ans. Yes, I can complete it. I have to draw three more quarters to complete it.

**Half and Quarter of a Metre**

**Using your metre scale, cut a string of one metre.**

**On this string mark the length ½ metre, ¼ metre and ¾ metre.**

**Using your string, draw a line of length ½ metre on the floor.**

**How many centimetres long is the line?**

**Ans.**

1 metre = 100 cm

Then ½ metre = 100/2 cm = 50 cm. Ans

**Page No. 126 Solutions**

**So**

**½ metre = ……… cm**

**¼ metre = ……… cm**

**¾ metre = ……… cm**

Ans. ½ metre =** 50** cm

¼ metre = ** 25 **cm (¼ x 100 = 25)

¾ metre =** 75 **cm (¾ x 100 = 75)

**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 ¼ litre of milk.

**Shade the bottles to show the level of milk in each.**

The level of milk is shown as below: –

**How many millilitres of milk does each bottle have? _________**

Ans. Each bottle has ¼ litre of milk.

So, 1000 ml ÷ 4 = ** 250 **millilitre milk.

Aahan poured 1 litre of milk into two bottles so that the first bottle holds ¾ litre and the other holds ¼ litre.

**Shade the level of milk in each bottle.**

**How many millilitres of milk does each bottle hold?**

Ans. The first bottle holds ¾ litre of milk

So, 1000 × ¾ ml = 750 ml

The second bottle holds ¼ litre of milk

So, 1000 × ¼ ml = 250 ml

**Page No. 127 Solutions**

**Balance the Weight**

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

Ans. There are so many ways to make the two pans equal.

(i) 1kg + 250g + 500g + 250g (ii) 500g + 500g + 1kg

(iii) 1kg + 250g + 250g + 250g + 200g + 50g

(iv) 500kg + 250g + 200g + 50g + 1kg

(v) 500g + 500g + 250g + 250g + 200g + 50g + 250g

(vi) 1kg + 100g + 200g + 500g + 200g

(vii) 500g+200g + 100g + 200g + 1kg

**a) Draw the weights in the empty pan.**

Ans.

**b) In how many different ways can you balance this weight of ¾ kg?**

**1) ……………………**

**2) ……………………**

**3) ……………………**

Ans. (1) 500g + 250g

(2) 200g + 100g + 200g + 250g

(3) 500g + 200g + 50g

**Page No. 128 Solutions**

**Why Is It Wrong?**

**Kamraan shaded some parts as shown. But his friend Maria says that it is wrong. Explain why it is wrong.**

Ans. In this rectangle, the four divisions are not of equal size. So, the shaded part is not equal to ¼ of the rectangle. It is ⅖ of the rectangle.

In the case of the triangle, the shaded part is not equal to ½ of the triangle.

**Practice Time**

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

Sol. The number of ripe mangoes ½ of 60.

= 60 × ½ = 30 Ans.

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

**Sol. **Total number of children = 32

Number of girls = ½ of 32 = ½ x 32 = 16

**So, the number of boys = Total number of children – number of girls**

= 32 – 16 =16 Ans.

**There are 20 stars. A quarter of them are red. How many stars are red?**

Sol. Total number of stars = 20

So, the number of red stars = ¼ of 20 = ¼ × 20 = 5 Ans.

**How many are not red?**

Sol. Total number of stars number of Red stars = Number of non-red stars = 20 – 5 = 15 Ans.

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

Sol. Cost of a pencil = 2

The money he gives = one rupee + one-half rupee + one quarter rupee = (1.00 +0.50 +0.25 = 1.75)

Total money he had given = 1.75

But the cost of a pencil is 2.00 and he gives only 1.75. So, it is not enough.

**Page No. 129 Solutions**

**Let’s Try These-(Activity)**

**For each drawing, answer the following questions:**

**(i) How many equal parts are there in the shape?**

**(ii) What fraction is each part of the whole shape?**

**(iii) What fraction is shaded?**

Sol. (a) (i) Three

(ii) Each part is ⅓ of the whole.

(iii) ⅓ part is shaded.

(b) (i) Four

(ii) Each part is ½ of the whole

(iii) ½ part is shaded.

(c) (i) Four

(ii) Each part is ¼ of the whole.

(iii) ¾ part is shaded.

(d) (i) Four.

(ii) Each part is ¼ of the whole.

(iii) ¾ part is shaded.

(e) (i) 8 parts

(ii) Each part is ⅛ of the whole.

(iii) ⅝ part is shaded.

(f) (i) 6 parts

(ii) Each part is ⅙ of the whole

(iii) ⅚ part is shaded.

(g) (i) 5 parts

(ii) Each part is ⅕ of the whole

(iii) ⅗ part is shaded.

(h) (i) 12 parts.

(ii) Each part is 1/12 of the whole

(iii) The 6/12 parts are shaded.

**Write the fraction for the shaded part of each shape. Also, write the fraction for the white part of each shape.**

Ans. Fraction for the shaded portion:

(a) ½

(b) ¾

(c) ½

(d) 3/6 or ½

(e) ½

(f) 4/8 or ½

Fraction for the white portion:

(a) ½

(b) ¼

(c) ½

(d) 3/6 or ½

(e) ½

(f) 4/8 or ½

**Find if the two fractions are equal [or equivalent]. Write equal or not equal.**

Sol. (a) ½ ≠ ⅔ So, A ≠ B

(b) 3/6 = ½ So, A = B

(c) 2/6 = ⅓ So, A = B

(d) 2/8 = ¼ So, A = B.

(e) ⅜ = ½ So, A ≠ B

(f) 2/10 = ⅕ So, A = B

That’s it about **Halves and Quarters ****Class 4 Math JKBOSE Solutions**. Hope you found it useful. Do share your views about this post in the comment section below.

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