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NCERT · Class 5 · Maths

Chapter 4: Parts and Wholes

Practice each question, then open the answer or worked solution.

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Questions

4 questions
Q1Written answer

Draw a rectangle of length 9 cm and width 6 cm. Divide it into three equal parts and complete the flag.

NCERT Solutions For Class 5 Maths Chapter 4 Image 1

The top one-third of our flag is saffron (or orange).

(i) What is the colour of the middle one-third of the flag?

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Worked solution

Solution:-

The colour of the middle one-third of the flag is white.

(ii) Where will you draw the Ashoka Chakra?

Solution:-

I will draw the Ashoka Chakra in the middle of the white portion of the flag.

(iii) How much of the flag will you colour green?

Solution:-

(1/3)rd portion of the flag will be coloured green.

(iv) Is the white colour now less than 1/3 of the flag? Why?

Solution:-

Yes, the white colour is less than 1/3 of the flag because the Ashoka Chakra is present in the white portion.

Q2Written answer

Now look at this flag. How much of it is black?

NCERT Solutions For Class 5 Maths Chapter 4 Image 2

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Worked solution

Solution:-

There are 3 portions, so the 1/3rd portion of the flag contains black colour.

(i) The green part of the flag can be written as.

Solution:-

The green part of the flag can be written as one-third.

(ii) Is red less than one-third of the flag? Why?

Solution:-

Yes, the red colour is less than 1/3 of the flag because the white emblem is present in the red portion.

Q3Written answer

This is the flag of Myanmar, our neighbour.

NCERT Solutions For Class 5 Maths Chapter 4 Image 3

(i) Is blue more than one-fourth of the flag or less?

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Worked solution

Solution:-

The blue colour is less than one-fourth of the flag.

(ii) Guess how much of the flag is red. Is it more than ½? Is it more than three-fourths?

Solution:-

It is more than half and also it is more than three-fourths.

Q4Written answer

Practice time

(A) Chocolate bar

NCERT Solutions For Class 5 Maths Chapter 4 Image 4

Manju had a chocolate. She gave one-fourth of it to Raji, one-third to Sugatha and one-sixth to Sheela. She ate the remaining part. How many pieces of chocolate did each get? Write here.

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Worked solution

Solution:-

Manju had a chocolate.

Number of bites in the chocolate is 12.

She gave one-fourth of it to Raji = ¼ × 12

= 3 bites

Sugatha got one-third of it = (1/3) × 12

= 4 bites

Sheela got one-sixth of it = (1/6) × 12

= 2 bites

(i) What part of the chocolate did Manju eat?

Solution:-

Part of the chocolate remains with Manju = 12 – (3 + 4 + 2)

= 12 – 9

= 3 bites

Therefore, Manju ate 3 bites of chocolate.

(B) Colour the hats

NCERT Solutions For Class 5 Maths Chapter 4 Image 5

(i) Colour 1/3 of the hats in red.

(ii) Colour three-fifth of the hats blue.

(iii) How many hats did you colour red?

(iv) How many hats did you colour blue?

(v) What part of the hats are not coloured?

Solution:-

The total number of hats in the given figure = 15

(i) Out of 15 colours, 1/3 of the hats are in red = 1/3 × 15

= 5 hats

(ii) Out of 15 colours, three-fifth of hats are in blue = 3/5 × 15

= 3 × 3

= 9 hats

(iii) 5 hats are coloured red.

(iv) 9 hats are coloured blue.

(v) Number of hats coloured = 14

Total number of hats = 15

So, the number of hats not coloured = 15 – 14

= 1 hat

Therefore, (1/15)th part of the hats are not coloured.