NCERT Solutions for Class 5 Maths Chapter 8 Weight and Capacity – step-by-step answers to every exercise and in-text question of the chapter, as per the latest NCERT syllabus for 2027. Read them online or download the free question-answer PDF.
Chapter 8 of Math Mela is about weight — how heavy a thing is — and capacity — how much a container can hold. Anu’s almirah, a bucket, an ant, a king who gives away wheat, Rathna’s grocery shopping, Khayal chacha’s milk cans and Kiran’s petrol pump teach four big ideas: pick the right unit (mg, g, kg, quintal, tonne, ml, l), change one unit into another by multiplying or dividing by 1,000, compare two amounts only after they are in the same unit, and add, subtract, multiply and divide weights and capacities the same way you do with plain numbers.
NCERT Solutions for Class 5 Maths Chapter 8 Weight and Capacity PDF
All the answers are on this page below. The PDF also explains every answer – why it is right and how to check it – so download it for revision.
NCERT Solutions for Class 5 Maths Chapter 8 Weight and Capacity – Questions and Answers
All 70 questions of the chapter (textbook pages 104 – 118) are answered below, in the order of the book – in-text questions, activities and the end-of-chapter exercises. Each answer is written the way you would write it in the exam.
Check! Check! — Page 104Anu’s list of weights at home
Check! Check!
Q1Anu has recorded the weights of the items in her house. Check if she has recorded them correctly by putting a tick against them if they look correct. 1. Iron Almirah – 40 g 2. Bed – 60 kg 3. Rice Bag – 5 kg 4. Sofa – 30 g 5. Bucket – 1 kg 800 g 6. Water Bottle – 650 g 7. Refrigerator – 50 g
Answer
Four of them are correct: the Bed, the Rice Bag, the Bucket and the Water Bottle. Put a tick against 2, 3, 5 and 6.
Item
Anu wrote
Tick?
Why
1. Iron Almirah
40 g
✗
40 g is lighter than a small soap bar. An iron almirah is very heavy. It should be about 40 kg.
2. Bed
60 kg
✓
A bed is heavy — about the weight of a grown-up person. Correct.
3. Rice Bag
5 kg
✓
A small rice bag from the shop really is about 5 kg. Correct.
4. Sofa
30 g
✗
30 g is only about as heavy as five pencils. A sofa should be about 30 kg.
5. Bucket
1 kg 800 g
✓
An empty plastic bucket really is under 2 kg. Correct.
6. Water Bottle
650 g
✓
A filled school water bottle is a little more than half a kilogram. Correct.
7. Refrigerator
50 g
✗
50 g is about the weight of an egg. A refrigerator should be about 50 kg.
Let Us Do — Page 104Read the six weighing scales (a) to (f)
Let Us Do
Q1 (a)Read the scale (a). Write the correct weight in the space given below. The dial is marked 0 at the top and then 1 kg, 2 kg, 3 kg, 4 kg going round. The answer space says “………… g”.Scale (a) as printed in the book.
Answer
The needle shows 600 g.
One full turn = 4 kg 0 to 1 kg = 10 small spaces 1 small space = 1,000 g ÷ 10 = 100 g Needle is at space number 6 Reading = 6 × 100 g = 600 g
Q1 (b)Read the scale (b). Write the correct weight in the space given below. The dial is marked 0 at the top, 1 kg at the bottom and 2 kg back at the top. The answer space says “…… kg ……. g”.Scale (b) as printed in the book.
Answer
The needle shows 1 kg 800 g.
1 small space = 100 g Needle at space 18 18 × 100 g = 1,800 g 1,800 g = 1,000 g + 800 g = 1 kg 800 g
Q1 (c)Read the scale (c). Write the correct weight in the space given below. The dial is marked 0 at the top and then 1 kg, 2 kg, 3 kg, 4 kg, 5 kg, 6 kg going round. The answer space says “…… kg ……. g”.Scale (c) as printed in the book.
Answer
The needle shows 2 kg 500 g.
Full turn = 6 kg Needle is halfway between 2 kg and 3 kg Half of 1 kg = 1,000 g ÷ 2 = 500 g Reading = 2 kg 500 g (= 2,500 g)
Q1 (d)Read the scale (d). Write the correct weight in the space given below. The dial is marked 0 at the top and then 1 kg, 2 kg, 3 kg, 4 kg going round. The answer space says “…… kg ……. g”.Scale (d) as printed in the book.
Answer
The needle shows 2 kg 600 g.
Needle is past 2 kg → start with 2 kg 6 more small spaces × 100 g = 600 g Reading = 2 kg 600 g (= 2,600 g)
Q1 (e)Read the scale (e). Write the correct weight in the space given below. The dial is marked 0 at the top and then 250 g, 500 g, 750 g and 1 kg going round. The answer space says “……………. g”.Scale (e) as printed in the book.
Answer
The needle shows 150 g.
Full turn = 1,000 g 0 to 250 g = 5 spaces 1 space = 250 g ÷ 5 = 50 g Needle at space 3 → 3 × 50 g = 150 g
Q1 (f)Read the scale (f). Write the correct weight in the space given below. The dial is marked 0 at the top and then 250 g, 500 g, 750 g and 1 kg going round. The answer space says “……………. g”.Scale (f) as printed in the book.
Answer
The needle shows 660 g.
More than 500 g, less than 750 g 3 big spaces past 500 g × 50 g = 150 g → 650 g 1 small mark more = 10 g 650 g + 10 g = 660 g
Different Units but Same Measure — Page 105Two balances, one in kilograms and one in grams
Different Units but Same Measure
Q1Bags are weighed on two different weighing balances. One weighing balance displays weight in kilograms and other displays weight in grams. Match the bags that have the same weights.
Weighing Balance 1
Weighing Balance 2
5 kg
3,000 g
10 kg
6,000 g
3 kg
10,000 g
6 kg
30,000 g
25 kg
5,000 g
30 kg
25,000 g
The two lists printed on page 105. Join each weight on the left with the same weight on the right.
Answer
Every kilogram weight matches the gram weight that is 1,000 times bigger. The two bags in the picture show it: one balance says 2 kg and the other says 2000 g — and it is the same bag.
Weighing Balance 1
Multiply by 1,000
Weighing Balance 2
5 kg
5 × 1,000
5,000 g
10 kg
10 × 1,000
10,000 g
3 kg
3 × 1,000
3,000 g
6 kg
6 × 1,000
6,000 g
25 kg
25 × 1,000
25,000 g
30 kg
30 × 1,000
30,000 g
Q2You can use the double number line given below. Complete it.
The double number line printed on page 105. The top line is in kilograms and the bottom line is in grams. Fill in every blank, and the missing number in × ___ .
Answer
Here is the finished double number line. Each kilogram mark on top sits exactly above its gram mark below.
Whatever you do to the top number, do the same to the bottom number.
Top line (kg): 1, 3, 8, 15, 20, 25, 30 Bottom line (g): 1,000; 3,000; 8,000; 15,000; 20,000; 25,000; 30,000
The missing multiplier is × 3 1 kg × 3 = 3 kg, and 1,000 g × 3 = 3,000 g
Q3Notice the relationship between kg and g.
Answer
1 kilogram = 1,000 grams. That one line is the whole relationship.
To go from kg to g, multiply by 1,000. Say it as: add three zeros.
To go from g to kg, divide by 1,000. Say it as: take away three zeros.
Let Us Find — Page 106Shrenu bakes cakes and her scale measures only in grams
Let Us Find
Q1Shrenu is baking cakes for her shop. She needs 3 kg 500 g flour. Her kitchen scale measures only in grams. What should her kitchen scale show for 3 kg 500 g of flour?
Answer
Her scale should show 3,500 g.
3 kg = 3 × 1,000 = 3,000 g 3 kg 500 g = 3,000 g + 500 g = 3,500 g
Q2What would be 2 kg 250 g flour in grams?
Answer
2 kg 250 g = 2,250 g.
2 kg = 2,000 g 2 kg 250 g = 2,000 g + 250 g = 2,250 g
Let Us Find — Page 106Shamim and Rehan argue about 5 kg 50 g of sugar
Let Us Find
Q1Shamim and Rehan observed someone buying sugar weighing 5 kg 50 g. They thought of the quantity in grams. How much is it? One says 5,050 g and the other says “No, it is 5,500 g”. Who do you think is right and why?
Answer
The one who said 5,050 g is right. 5 kg 50 g = 5,050 g. The answer 5,500 g is wrong.
5 kg 50 g = 5,000 g + 50 g = 5,050 g
The wrong answer 5,500 g would mean 5,000 g + 500 g = 5 kg 500 g But the sugar is 5 kg 50 g, not 5 kg 500 g
Q2Complete the conversions by filling in the blanks. You can use the double number line given below on which some numbers have been marked.
The double number line printed on page 106. Some numbers are already marked; fill in the rest.
Answer
Here is the completed double number line.
The seven marked pairs. Read straight down or straight up.
Top line (kg): 1, 3, 4, 7, 8, 10, 12 Bottom line (g): 1,000; 3,000; 4,000; 7,000; 8,000; 10,000; 12,000
Last two pairs (left blank for you to choose — any weight above 12 kg), for example: 15 kg 500 g ↔ 15,500 g and 18 kg 250 g ↔ 18,250 g.
Q2 (a)–(c)Complete the conversions by filling in the blanks. (a) 7 kg 67 g = ______ g (b) 3 kg 300 g = ______ g (c) 8 kg 69 g = ______ g
Answer
(a) 7,067 g (b) 3,300 g (c) 8,069 g
Part
Kilogram part
Gram part in 3 boxes
Answer
(a) 7 kg 67 g
7 × 1,000 = 7,000 g
0 6 7
7,067 g
(b) 3 kg 300 g
3 × 1,000 = 3,000 g
3 0 0
3,300 g
(c) 8 kg 69 g
8 × 1,000 = 8,000 g
0 6 9
8,069 g
Q2 (d)–(f)Complete the conversions by filling in the blanks. (d) 10,760 g = _____ kg ____ g (e) 4,080 g = _____ kg ____ g (f) 12,042 g = _____ kg ____ g
Answer
(d) 10 kg 760 g (e) 4 kg 80 g (f) 12 kg 42 g
Part
Split it
Answer
(d) 10,760 g
10 | 760 → 10,000 g + 760 g
10 kg 760 g
(e) 4,080 g
4 | 080 → 4,000 g + 80 g
4 kg 80 g
(f) 12,042 g
12 | 042 → 12,000 g + 42 g
12 kg 42 g
Comparison between Different Weights — Page 107Harpreet’s picnic basket, and comparing with <, =, >
Comparison between Different Weights
Q1Harpreet’s family planned a picnic over the weekend. Her mother and father packed different food items to take along. The following is the list of fruits they carried — Watermelon – 3 kg, Pineapple – 1 kg 750 g, Apples – 1 kg 250 g, Mangoes – 2 kg. Among the fruits they carried, which one has the — (a) highest weight? (b) least weight? (c) Arrange the items in descending order of their weight.
Answer
(a) The watermelon, 3 kg. (b) The apples, 1 kg 250 g. (c) Watermelon, Mangoes, Pineapple, Apples.
Fruit
Weight
In grams
Watermelon
3 kg
3,000 g
Mangoes
2 kg
2,000 g
Pineapple
1 kg 750 g
1,750 g
Apples
1 kg 250 g
1,250 g
Q2Compare the weights using <, =, > signs. (a) 1 kg 600 g ____ 1,700 g (b) 1 kg 600 g ____ 1 kg 60 g (c) 10 kg 35 g ____ 10035 g (d) 1 kg 600 g ____ 2 kg 500 g (e) 5 kg 50 g ____ 4 kg 500 g (f) 900 g + 7,000 g ____ 7 kg + 900 g
Answer
(a) < (b) > (c) = (d) < (e) > (f) =
Part
Left side in g
Right side in g
Sign
(a) 1 kg 600 g … 1,700 g
1,600 g
1,700 g
<
(b) 1 kg 600 g … 1 kg 60 g
1,600 g
1,060 g
>
(c) 10 kg 35 g … 10035 g
10,035 g
10,035 g
=
(d) 1 kg 600 g … 2 kg 500 g
1,600 g
2,500 g
<
(e) 5 kg 50 g … 4 kg 500 g
5,050 g
4,500 g
>
(f) 900 g + 7,000 g … 7 kg + 900 g
7,900 g
7,900 g
=
Milligram — Page 108How heavy is an ant?
Milligram
Q1How much weight can an ant carry? How much does an ant weigh?
Answer
An ant weighs only 1 milligram to 5 milligrams. It can carry far more than its own weight.
Q2What is a milligram?
Answer
A milligram is a very tiny unit of weight. 1,000 milligrams make 1 gram. We write it as mg.
1 g = 1,000 mg 1 kg = 1,000 g = 10,00,000 mg
Let Us Find — Page 108Grams into milligrams
Let Us Find
Q1If a sugar sachet weighs 5 g, how much will it be in milligrams?
Answer
5 g = 5,000 mg.
1 g = 1,000 mg 5 g = 5 × 1,000 = 5,000 mg
Q2Complete the double number line below appropriately.
The double number line printed on page 108. The top line is in milligrams, the bottom line in grams.
Answer
Here is the completed double number line.
Six pairs. Each pair is the same weight said in two ways.
Top line (mg): 1,000; 5,000; 12,000; 20,000; 25,000; 31,000 Bottom line (g): 1; 5; 12; 20; 25; 31
Q3An ornament weighs 4 g 100 mg. What will be the weight in milligrams?
Answer
4 g 100 mg = 4,100 mg.
4 g = 4,000 mg 4 g 100 mg = 4,000 + 100 = 4,100 mg
Q4A goldsmith has made an ornament weighing 10 g 500 mg. What will its weight be in milligrams?
Answer
10 g 500 mg = 10,500 mg.
10 g = 10,000 mg 10 g 500 mg = 10,000 + 500 = 10,500 mg
Let Us Find (continued) — Page 109Comparing with milligrams; quintals and tonnes
Let Us FindDid you know?
Q5Compare the weights using <, =, > signs. (a) 20 g ____ 200 mg (b) 16 g 50 mg ____ 50 g 16 mg (c) 2,010 mg ____ 2 g 100 mg (d) 9,000 mg ____ 90 g (e) 5,000 g ____ 7,500 g (f) 800 mg + 88 mg ____ 880 mg + 8 mg
Answer
(a) > (b) < (c) < (d) < (e) < (f) =
Part
Left side
Right side
Sign
(a) 20 g … 200 mg
20,000 mg
200 mg
>
(b) 16 g 50 mg … 50 g 16 mg
16,050 mg
50,016 mg
<
(c) 2,010 mg … 2 g 100 mg
2,010 mg
2,100 mg
<
(d) 9,000 mg … 90 g
9,000 mg (= 9 g)
90,000 mg
<
(e) 5,000 g … 7,500 g
5,000 g
7,500 g
<
(f) 800 mg + 88 mg … 880 mg + 8 mg
888 mg
888 mg
=
Q6Observe the pictures given below and fill in the blank.
An elephant and a whale, drawn as in the book. The elephant weighs 5,000 kg and the whale weighs 40 times as much.
Answer
The whale weighs 2,00,000 kg — that is two lakh kilograms, or 200 tonnes.
5,000 kg × 40 = 5 × 40 × 1,000 = 200 × 1,000 = 2,00,000 kg
Since 1,000 kg = 1 tonne: 2,00,000 ÷ 1,000 = 200 tonnes
Q7Answer the following questions. (a) 5,000 kg = ______ quintals = _____ tonne (b) 9,000 kg = _____ quintals (c) ______ kg = 8 tonnes
100 kg = 1 quintal 10 quintals = 1 tonne So 1,000 kg = 1 tonne
Part
Working
Answer
(a) 5,000 kg = ? quintals
5,000 ÷ 100
50 quintals
(a) 5,000 kg = ? tonne
5,000 ÷ 1,000
5 tonnes
(b) 9,000 kg = ? quintals
9,000 ÷ 100
90 quintals
(c) ? kg = 8 tonnes
8 × 1,000
8,000 kg
King’s Weight — Page 109The king donates wheat equal to 10 times his weight
King’s Weight
Q1In a kingdom, the king donates wheat grains equal to 10 times his weight on his birthday. If he donates 800 kg of wheat grain this birthday, what is his current weight? _______ kg.
Answer
The king weighs 80 kg.
King’s weight × 10 = 800 kg King’s weight = 800 ÷ 10 King’s weight = 80 kg
Q2If he had donated 780 kg of wheat grain on his last birthday, what was his weight last year? _______ kg.
Answer
Last year the king weighed 78 kg.
Wheat last year = 780 kg King’s weight last year = 780 ÷ 10 = 78 kg
Q3How much weight did he gain in a year until this birthday? _______ kg.
Answer
The king gained 2 kg in the year.
This birthday = 80 kg Last birthday = 78 kg Weight gained = 80 − 78 = 2 kg
From Tiny to Big — The Grocery Store — Page 110Rathna buys rice for the house and for Pongal
From Tiny to BigThe Grocery Store
Q1Rathna went to the local grocery store and bought several items. She bought 2 kg 500 g rice for daily use and 1 kg 750 g additional rice for the upcoming Pongal festival. How much total rice did she buy?
Answer
Rathna bought 4 kg 250 g of rice in all.
Way 3 — change everything to grams first.
2 kg 500 g = 2,500 g 1 kg 750 g = 1,750 g 2,500 + 1,750 = 4,250 g 4,250 g = 4 kg 250 g
Q2How much extra rice did she buy for household use than for the Pongal festival?
Answer
She bought 750 g extra for household use.
“How much extra” means how much more, so we subtract: 2 kg 500 g − 1 kg 750 g.
Way 3 — change to grams first.
2 kg 500 g = 2,500 g 1 kg 750 g = 1,750 g 2,500 g − 1,750 g = 750 g
Let Us Do — Page 111Seven word problems on adding and subtracting weight
Let Us Do
Q1A restaurant owner uses 5 kg 200 g, 8 kg 900 g, and 12 kg 600 g of onions over 3 days. What is the total weight of onions used by the restaurant owner in 3 days?
Answer
He used 26 kg 700 g of onions in three days.
5,200 g + 8,900 g + 12,600 g = 26,700 g 26,700 g = 26 kg 700 g
Q2Aarav is helping his grandfather at the fruit stall. He lifts two baskets of apples weighing 2 kg 100 g and 3 kg 950 g. What is the total weight of apples he lifted?
Answer
Aarav lifted 6 kg 50 g of apples.
2,100 g + 3,950 g = 6,050 g 6,050 g = 6 kg 50 g
Q34 kg 500 g of sand is used from a sack weighing 10 kg. How much sand is left in the sack?
Answer
5 kg 500 g of sand is left.
10,000 g − 4,500 g = 5,500 g 5,500 g = 5 kg 500 g
Q4A rice sack weighs 9 kg 750 g. After some rice is used, it weighs 3 kg 700 g. How much rice was used?
Answer
6 kg 50 g of rice was used.
9,750 g − 3,700 g = 6,050 g 6,050 g = 6 kg 50 g
Q5A delivery truck delivered 17 kg 900 g of supplies in the morning and 12 kg 700 g in the afternoon. How much total supplies did it deliver?
Answer
The truck delivered 30 kg 600 g in all.
17,900 g + 12,700 g = 30,600 g 30,600 g = 30 kg 600 g
Q6A box of books weighs 14 kg 750 g. After removing some books, the weight of the box is 10 kg 500 g. What is the weight of the books removed?
Answer
The books removed weigh 4 kg 250 g.
14,750 g − 10,500 g = 4,250 g 4,250 g = 4 kg 250 g
Q7In a community kitchen of a Gurdwara, 65 kg of flour was purchased on one day. Out of this, 42 kg 275 g flour was used for preparing langar. The next day, an additional 52 kg 500 g of flour was bought. What is the total quantity of flour now available in the kitchen store?
Answer
75 kg 225 g of flour is now in the store.
Step 1 65,000 g − 42,275 g = 22,725 g (= 22 kg 725 g)
Step 2 22,725 g + 52,500 g = 75,225 g 75,225 g = 75 kg 225 g
More Operations on Weight — Page 112Multiplying and dividing weights
More Operations on Weight
Q1A farmer weighs a sack of potatoes and finds it to be 10 kg 500 g. If the farmer has 4 such potato sacks, what is the total weight of all the sacks?
Answer
All four sacks together weigh 42 kg.
Way 2 — change to grams first, then multiply.
10 kg 500 g = 10,500 g 4 × 10,500 = 42,000 g 42,000 g = 42 kg
Q2A box of nuts weighing 4 kg 800 g is equally distributed into 4 smaller boxes. What is the weight of each small box in grams?
Answer
Each small box holds 1,200 g (that is 1 kg 200 g).
Way 2 — change to grams first.
4 kg 800 g = 4,800 g 4,800 ÷ 4 = 1,200 g (= 1 kg 200 g)
Let Us Do — Pages 112–113Cost of groceries, and using double number lines for buying
Let Us Do
Q1The cost of some grocery items is given in the following table. Find the total cost of each item.
Item
Weight
Cost of 1 kg
Total cost
Rice
12 kg 500 g
₹ 60
Flour
7 kg 250 g
₹ 40
Sugar
5 kg
₹ 45
Chana dal
3 kg 600 g
₹ 70
Besan
4 kg
₹ 60
Jaggery
1 kg 400 g
₹ 50
The grocery table printed on page 112. The last column is empty — that is what you have to find.
Q24 people need 500 g rice for a meal. How much rice will be needed for 8 people if they eat similar quantity of rice? Complete the double number line below.
The double number line printed on page 112. Fill in the missing weight and the missing multiplier.
Answer
8 people will need 1,000 g of rice, that is 1 kg.
The missing multiplier at the bottom is the same as the one on top: × 2.
4 people → 500 g People × 2, so rice × 2 500 g × 2 = 1,000 g = 1 kg The missing arrow is × 2
Q35 kg of tomatoes cost ₹73. How much will 10 kg of tomatoes cost? Complete the double number line below.
The double number line printed on page 113. Fill in the missing cost and the missing multiplier.
Answer
10 kg of tomatoes will cost ₹146.
5 kg → ₹73 Weight × 2, so cost × 2 ₹73 × 2 = ₹140 + ₹6 = ₹146
Q4Nitesh is a scrap dealer. How much would he have paid for (a) 16 kg of old newspaper, if he paid ₹8 for every 1 kg of newspaper? (b) 20 kg iron, if he paid ₹200 for every 10 kg of iron? (c) 10 kg plastic, if he paid ₹30 for 5 kg of plastic? Make double number lines for answering (b) and (c).
Answer
(a) ₹128 (b) ₹400 (c) ₹60
(b) Iron — use a double number line.
20 kg is double 10 kg, so the money doubles as well.
Measuring Capacity — Page 113Choosing between millilitres and litres
Measuring Capacity
Q1You must have seen tea being prepared at your home. How much water and milk do we need to make 2 cups of tea? Do we need 1 l of water to make 2 cups of tea? Is 500 ml of water enough for 2 cups of tea?
Answer
No, we do not need 1 litre. Yes, 500 ml is more than enough.
Sample answer: “For 2 cups of tea we need about 200 ml of water and about 100 ml of milk. We do not need 1 litre of water — that would make about 6 or 7 cups. 500 ml of water is more than enough for 2 cups.”
Q2A bucket can hold a maximum of 20 ml of water. Is this statement correct? Which unit should be used in such a situation?
Answer
No, the statement is not correct. The right unit is the litre (l) — a bucket holds about 20 litres, not 20 millilitres.
20 ml = about 4 teaspoons 20 l = 20 × 1,000 = 20,000 ml That is a thousand times more — and that is a bucket
Big to Small, Small to Big — Pages 113–114Litres into millilitres, and the capacity of containers
Big to Small, Small to Big
Q1Ramiz brings a 500 ml water bottle to school. He drinks two bottles at school. How much water does he drink at school? Ramiz drinks ______ ml + ______ ml = ______ ml. Ramiz drinks ____ l of water in a day.
Answer
Ramiz drinks 500 ml + 500 ml = 1,000 ml, which is 1 litre.
500 ml + 500 ml = 1,000 ml 1,000 ml = 1 l
So the blanks are: Ramiz drinks 500 ml + 500 ml = 1,000 ml Ramiz drinks 1 l of water
Q2Muskaan drinks 3 l of water in a day. How many times would she need to refill a 500 ml water bottle? ________. Muskaan drinks _________ ml of water in a day.
Answer
She would fill the bottle 6 times. She drinks 3,000 ml in a day.
3 l = 3 × 1,000 = 3,000 ml 3,000 ml ÷ 500 ml = 6 bottles
Q3Write the total capacity of the following containers in each blank.The four sets of containers printed on page 114. The top mark on each container is how much it holds when full.
Answer
Set 1: 1 l 600 ml Set 2: 1 l 500 ml Set 3: 0 l 700 ml Set 4: 2 l 100 ml
Set
Jars
In ml
Total
Answer
1
1 l + 500 ml + 100 ml
1,000 + 500 + 100
1,600 ml
1 l 600 ml
2
1 l + 500 ml
1,000 + 500
1,500 ml
1 l 500 ml
3
100 ml + 100 ml + 500 ml
100 + 100 + 500
700 ml
0 l 700 ml
4
1 l + 1 l + 100 ml
1,000 + 1,000 + 100
2,100 ml
2 l 100 ml
Different Units but Same Measure — The Milkman’s Delivery — Page 114Khayal chacha delivers milk to five families
Different Units but Same MeasureThe Milkman’s Delivery
Q1Bhalerao’s family orders 2 l of milk everyday. This family has a vessel marked in ml only. What mark will you see in the vessel corresponding to 2 l?
Answer
The milk will come up to the 2,000 ml mark.
1 l = 1,000 ml 2 l = 2 × 1,000 = 2,000 ml
Q2Complete the double number line.
The double number line printed on page 114. The top line is in litres, the bottom line in millilitres.
Answer
Here is the completed double number line.
Eight pairs. Read straight down to change litres into millilitres.
Top line (l): 1, 2, 6, 8, 12, 14, 20, 25 Bottom line (ml): 1,000; 2,000; 6,000; 8,000; 12,000; 14,000; 20,000; 25,000
Q3Khayal chacha delivers the following amounts of milk each week to different families. Complete the table.
Family
Milk Delivered in a Week in l
Quantity in ml
Arora’s
8
Nair’s
14
Shrivastava’s
12,000
Das’s
20,000
Rao’s
25,000
The milk delivery table printed on page 114. Fill in every empty cell.
Answer
Arora’s 8,000 ml · Nair’s 14,000 ml · Shrivastava’s 12 l · Das’s 20 l · Rao’s 25 l.
Family
Milk Delivered in a Week in l
Quantity in ml
Arora’s
8
8,000 ml
Nair’s
14
14,000 ml
Shrivastava’s
12
12,000
Das’s
20
20,000
Rao’s
25
25,000
Let Us Think — Page 115Mary and Daisy’s bottle, and converting litres and millilitres
Let Us Think
Q1Mary and Daisy filled their bottle with 1 l 400 ml of water. They wondered about the capacity of the bottle in ml. How much is it? One says 1,400 ml and the other says “No, it is 1,040 ml.” Who do you think is correct and why?
Answer
The one who said 1,400 ml is correct. 1 l 400 ml = 1,400 ml. The answer 1,040 ml is wrong.
1 l 400 ml = 1,000 + 400 = 1,400 ml
The wrong answer 1,040 ml would mean 1,000 + 40 = 1 l 40 ml But the bottle holds 400 ml extra, not 40 ml
Q2Convert and fill in the blanks appropriately. You can use the double number line given earlier. (a) 3 l 8 ml = _____ ml (b) 9 l 90 ml = _____ ml (c) 14,075 ml = ____ l ____ ml (d) 8 l 86 ml = ____ ml (e) 12,200 ml = ____ l _____ ml (f) 18,350 ml = ____ l ____ ml
The double number line printed on page 114. The top line is in litres, the bottom line in millilitres.
Answer
(a) 3,008 ml (b) 9,090 ml (c) 14 l 75 ml (d) 8,086 ml (e) 12 l 200 ml (f) 18 l 350 ml
Part
Working
Answer
(a) 3 l 8 ml
3,000 + 008
3,008 ml
(b) 9 l 90 ml
9,000 + 090
9,090 ml
(c) 14,075 ml
14 | 075
14 l 75 ml
(d) 8 l 86 ml
8,000 + 086
8,086 ml
(e) 12,200 ml
12 | 200
12 l 200 ml
(f) 18,350 ml
18 | 350
18 l 350 ml
Let Us Compare — Pages 115–117Kiran’s petrol pump, and Sam and Tina’s bikes
Let Us Compare
Q1Kiran owns a petrol pump. She records the details of the sales of petrol in a day. Complete the table.
Vehicle
No. of Vehicles
Quantity of Fuel in Each Vehicle (in litres)
Total Quantity of Fuel (in litres)
Truck
3
500
Bus
6
300
Car
10
50
Auto Rickshaw
12
8
Two-wheeler
25
5
The table printed on page 116. The last column is empty — that is what you have to find.
Answer
Truck 1,500 l · Bus 1,800 l · Car 500 l · Auto Rickshaw 96 l · Two-wheeler 125 l.
Vehicle
No. of Vehicles
Quantity of Fuel in Each Vehicle (in litres)
Working
Total Quantity of Fuel (in litres)
Truck
3
500
3 × 500
1,500 l
Bus
6
300
6 × 300
1,800 l
Car
10
50
10 × 50
500 l
Auto Rickshaw
12
8
12 × 8
96 l
Two-wheeler
25
5
25 × 5
125 l
Q2 (a)How much more fuel is bought for buses than for trucks?
Answer
300 litres more fuel is bought for buses.
Buses = 6 × 300 = 1,800 l Trucks = 3 × 500 = 1,500 l Difference = 1,800 − 1,500 = 300 l
Q2 (b)What is the total quantity of fuel filled from the petrol pump on that day?
Q3Compare the following quantities using the signs <, =, >. (a) 5 l 600 ml ____ 5,400 ml (b) 10 l 100 ml ____ 1 l 600 ml (c) 190 ml + 800 ml ____ 800 ml + 109 ml (d) 3 l 600 ml ____ 3,600 ml (e) 4 l 50 ml ____ 4 l 500 ml
Answer
(a) > (b) > (c) > (d) = (e) <
Part
Left side in ml
Right side in ml
Sign
(a) 5 l 600 ml … 5,400 ml
5,600 ml
5,400 ml
>
(b) 10 l 100 ml … 1 l 600 ml
10,100 ml
1,600 ml
>
(c) 190 + 800 … 800 + 109
990 ml
909 ml
>
(d) 3 l 600 ml … 3,600 ml
3,600 ml
3,600 ml
=
(e) 4 l 50 ml … 4 l 500 ml
4,050 ml
4,500 ml
<
Q4Sam and Tina fill petrol in their bikes. Tina bought 2 l 500 ml of petrol. Sam bought 2 l 800 ml more petrol than Tina. How much petrol did Sam buy?
Answer
Sam bought 5 l 300 ml of petrol.
Way 2 — change to millilitres first.
2 l 500 ml = 2,500 ml 2 l 800 ml = 2,800 ml 2,500 + 2,800 = 5,300 ml 5,300 ml = 5 l 300 ml
Q4 (contd.)After refueling, Sam found his fuel gauge reading 9 l. How much fuel did his bike have before refueling?
Answer
Sam’s bike had 3 l 700 ml of fuel before refuelling.
Column form lml 9 000 −5 300 ―――――― 3 700 (borrow 1 l = 1,000 ml)
Or in ml only: 9,000 − 5,300 = 3,700 ml = 3 l 700 ml
Let Us Solve — Page 118Picnic bottles, milk glasses, orange juice and oil
Let Us Solve
Q1Riya is filling water bottles for a picnic. She fills one 2 l bottle and four 500 ml bottles. Her friend, Aarav fills three 750 ml bottles. Who filled more water, Riya or Aarav? How much more?
Answer
Riya filled more water — 1 l 750 ml more than Aarav.
Riya = 2,000 ml + (4 × 500 ml) = 2,000 + 2,000 = 4,000 ml Aarav = 3 × 750 ml = 2,250 ml Difference = 4,000 − 2,250 = 1,750 ml = 1 l 750 ml
Q2 (a)A bottle of milk is poured equally into 8 glasses, leaving 120 ml of milk in the bottle. If each glass has a capacity of 360 ml, what is the total capacity of 8 glasses?
Answer
The 8 glasses hold 2,880 ml altogether, which is 2 l 880 ml.
8 × 360 ml = 8 × 300 + 8 × 60 = 2,400 + 480 = 2,880 ml = 2 l 880 ml
Q2 (b)How much milk was there in the bottle initially?
Answer
The bottle held 3,000 ml of milk at the start — that is exactly 3 litres.
2,880 ml + 120 ml = 3,000 ml 3,000 ml = 3 l
Q2 (c)If 1 l of milk costs ₹40, how much will 3 l milk cost?
Answer
3 litres of milk will cost ₹120.
1 l → ₹40 3 l → 3 × ₹40 = ₹120
Q3 (a)A juice vendor has a 5 l container of orange juice. Each glass has a capacity 250 ml. How many full glasses can he serve before the container becomes empty?
Answer
He can serve 20 full glasses.
5 l = 5,000 ml 1 l = 1,000 ml = 4 glasses of 250 ml 5 l = 5 × 4 = 20 glasses
Q3 (b)If he has already served 10 glasses, how much juice is left?
Answer
2,500 ml of juice is left — that is 2 l 500 ml, exactly half the container.
Served = 10 × 250 ml = 2,500 ml Left = 5,000 − 2,500 = 2,500 ml = 2 l 500 ml
Q3 (c)If 250 ml of juice is sold at ₹25, how much will he earn by selling 5 l juice?