Class 5 Maths Chapter 8 NCERT Solutions: Weight and Capacity

NCERT Solutions Class 5 Maths Mela Chapter 8 Weight and Capacity (2025-26) – Exercise Solutions

1. Check! Check!

Anu 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.

• Iron Almirah – 40 g
  Answer: Incorrect (It should be much heavier, usually in kg).
• Bed – 60 kg
  Answer: Correct (✔️)
• Rice Bag – 5 kg
  Answer: Correct (✔️)
• Sofa – 30 g
  Answer: Incorrect (Should be in kg, not grams).
• Bucket – 1 kg 800 g
  Answer: Correct (✔️)
• Water Bottle – 650 g
  Answer: Correct (✔️)
• Refrigerator – 50 g
  Answer: Incorrect (Should be in kg).

2. Different Units but Same Measure

Bags are weighed on two different weighing balances. One displays weight in kilograms (kg) and the other in grams (g). Match the bags with the same weights.

Fill in the blanks/number lines:

• 3 kg, 8 kg, 13 kg, 20 kg, 30 kg
• 1,000 g, 5,000 g, 8,000 g, 15,000 g, 20,000 g, 25,000 g, 30,000 g
• 13 kg

3. Let Us Find

1. Shrenu needs 3 kg 500 g flour. Her kitchen scale only measures in grams. What should her scale show?
   Answer: 3 kg = 3,000 g, so 3 kg 500 g = 3,500 g.
2. What would be 2 kg 250 g flour in grams?
   Answer: 2 kg = 2,000 g; 2,000 g + 250 g = 2,250 g.
3. Shamim and Rehan see sugar weighing 5 kg 50 g. How much is it in grams?
   Answer: 5 kg = 5,000 g, so 5,000 g + 50 g = 5,050 g.

4. Conversions

• 1 kg, 3 kg, 5 kg, 7 kg, 8 kg, 10 kg, 12 kg, 15 kg
• 2,000 g, 3,000 g, 5,000 g, 1,000 g, 2,500 g, 4,000 g, 8,000 g, 9,000 g, 10,000 g, 12,000 g, 14,000 g, 15,000 g

1. 7 kg 67 g = 7,067 g
2. 3 kg 300 g = 3,300 g
3. 8 kg 69 g = 8,069 g
4. 10,760 g = 10 kg 760 g
5. 4,080 g = 4 kg 80 g
6. 12,042 g = 12 kg 42 g

5. Application

1. Harpreet's family picnic fruits:
   • Watermelon – 3 kg
   • Pineapple – 1 kg 750 g
   • Apples – 1 kg 250 g
   • Mangoes – 2 kg
   1. Highest weight?
      Watermelon – 3 kg.
   2. Least weight?
      Apples – 1 kg 250 g.
   3. Arrange in descending order of weight.
      Watermelon (3 kg), Pineapple (1 kg 750 g), Mangoes (2 kg), Apples (1 kg 250 g).
2. Compare weights using <, =, > signs:
   • (a) 1 kg 600 g < 1,700 g (1 kg 600 g = 1,600 g)
   • (b) 1 kg 600 g > 1 kg 60 g (1,600 g > 1,060 g)
   • (c) 10 kg 35 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)

6. Milligram

1. If a sugar sachet weighs 5g, how much in milligrams?
   Answer: 5 g = 5 × 1,000 mg = 5,000 mg.
2. An ornament weighs 4 g 100 mg. What in milligrams?
   Answer: 4 g = 4,000 mg; 4,000 mg + 100 mg = 4,100 mg.
3. A goldsmith’s ornament weighing 10 g 500 mg: ____ mg
   Answer: 10 g = 10,000 mg; 10,000 + 500 = 10,500 mg.

Compare:

• 20 g > 200 mg (20 g = 20,000 mg)
• 16 g 50 mg < 50 g 16 mg (16,050 mg < 50,016 mg)
• 2,010 mg < 2 g 100 mg (2,010 mg < 2,100 mg)
• 9,000 mg < 90 g (9,000 mg < 90,000 mg)
• 5,000 g < 7,500 g
• 800 mg + 88 mg = 880 mg + 8 mg (888 mg = 888 mg)

Did you know?

• 100 kg = 1 quintal
• 10 quintals = 1 tonne
• 1,000 kg = 1 tonne

7. King’s Weight

• If he donates 800 kg wheat grains this birthday, his current weight = 80 kg.
• If last year he donated 780 kg, what was his weight last year? 78 kg.
• How much weight did he gain in a year? 2 kg (80 kg - 78 kg).

8. From Tiny to Big

• 2 kg 500 g for daily use
• 1 kg 750 g for Pongal
• Total rice bought: 2 kg 500 g + 1 kg 750 g = 4 kg 250 g
• Extra rice for household than Pongal: 2 kg 500 g - 1 kg 750 g = 750 g more

9. Practice Exercises

1. Restaurant owner uses 5 kg 200 g, 8 kg 900 g, and 12 kg 600 g onions over 3 days. Total weight?
   Answer: 5 kg 200 g + 8 kg 900 g = 14 kg 100 g; 14 kg 100 g + 12 kg 600 g = 26 kg 700 g.
2. Aarav lifts 2 kg 100 g and 3 kg 950 g apples. Total?
   Answer: 2 kg 100 g + 3 kg 950 g = 6 kg 50 g.
3. 4 kg 500 g sand used from a 10 kg sack. How much left?
   Answer: 10 kg - 4 kg 500 g = 5 kg 500 g
4. Rice sack 9 kg 750 g, some used, weighs 3 kg 700 g. How much used?
   Answer: 9 kg 750 g - 3 kg 700 g = 6 kg 50 g
5. Delivery: 17 kg 900 g (morning) + 12 kg 700 g (afternoon). Total?
   Answer: 17 kg 900 g + 12 kg 700 g = 30 kg 600 g.
6. Box: 14 kg 750 g. After removing some: 10 kg 500 g. Weight removed?
   Answer: 14 kg 750 g - 10 kg 500 g = 4 kg 250 g
7. Gurdwara: 65 kg flour purchased, 42 kg 275 g used. Next day 52 kg 500 g bought. Total now?
   Answer: 65 kg - 42 kg 275 g = 22 kg 725 g; 22 kg 725 g + 52 kg 500 g = 75 kg 225 g

10. More Operations on Weight

1. A farmer has 4 sacks, each 10 kg 500 g. Total weight?
   Answer: 10 kg 500 g × 4 = 42 kg
2. A box of nuts, 4 kg 800 g, divided into 4 boxes. Weight of each (g)?
   Answer: 4 kg 800 g = 4,800 g; 4,800 ÷ 4 = 1,200 g per box.
3. 4 people need 500 g rice. How much for 8 people?
   Answer: 500 g × 8 = 4,000 g or 4 kg.
4. 5 kg of tomatoes costs ₹73. How much for 10 kg?
   Answer: 5 kg = ₹73; for 10 kg, ₹73 × 2 = ₹146.
5. Nitesh pays for scrap:
   • (a) 16 kg newspaper. ₹8/kg
     Answer: 16 × ₹8 = ₹128
   • (b) 20 kg iron. ₹200 per 10 kg
     Answer: 20 kg = 2 × 10 kg = ₹200 × 2 = ₹400
   • (c) 10 kg plastic. ₹30 per 5 kg
     Answer: 10 kg ÷ 5 kg = 2; ₹30 × 2 = ₹60

11. Measuring Capacity

1. How much water/milk to make 2 cups of tea?
   Answer: Usually about 1 cup for each = 250 ml × 2 = 500 ml
2. Is 1 l or 500 ml enough water?
   Answer: 1 l may be more than needed for 2 cups, but enough; 500 ml is just right
3. A bucket can hold maximum 20 ml. Correct? Which unit is suitable?
   Answer: Incorrect; bucket capacity is measured in litres (l), not ml. Unit should be litre.

12. Big to Small, Small to Big

1. Ramiz brings a 500 ml bottle, drinks two at school. How much?
   Answer: 500 ml × 2 = 1,000 ml or 1 litre.
2. Muskaan drinks 3 l/day. How many times refill (500ml bottle)?
   Answer: 3 l = 3,000 ml; 3,000 ÷ 500 = 6 times.

13. The Milkman’s Delivery

• Bhalerao’s family: 2 l milk/day. Vessel marked in ml. What mark for 2 l?
  Answer: 2,000 ml

Dev’s family needs 1 l milk/day, 500 ml more on Sunday.
Sunday: 1,500 ml

14. Let Us Think

1. Mary and Daisy filled a bottle with 1 l 400 ml water. Capacity in ml?
   Answer: 1 l = 1,000 ml; 1,000 ml + 400 ml = 1,400 ml
2. • 3 l 8 ml = 3,008 ml
   • 9 l 90 ml = 9,090 ml
   • 14,075 ml = 14 l 75 ml
   • 8 l 86 ml = 8,086 ml
   • 12,200 ml = 12 l 200 ml
   • 18,350 ml = 18 l 350 ml

15. Let Us Compare

1. Kiran’s petrol pump: compare fuel for buses/trucks, total quantity, etc.
   Answer: Students should compare based on the given table/data.
2. Conversions
   • 5 l 600 ml > 5,400 ml (5 l 600 ml = 5,600 ml)
   • 10 l 100 ml > 1 l 600 ml (10,100 ml > 1,600 ml)
   • 190 ml + 800 ml > 800 ml + 109 ml (990 ml > 909 ml)
   • 3 l 600 ml = 3,600 ml
   • 4 l 50 ml < 4 l 500 ml (4,050 ml < 4,500 ml)

16. Let Us Solve

1. Riya fills water bottles: one 2 l & four 500 ml bottles. Aarav fills three 750 ml bottles. Who filled more? By how much?
   Riya: 2,000 ml + (4 × 500 ml) = 2,000 ml + 2,000 ml = 4,000 ml
   Aarav: 3 × 750 ml = 2,250 ml
   Answer: Riya filled more water by 1,750 ml (4,000 ml – 2,250 ml)
2. A bottle of milk poured into 8 glasses, 120 ml left. Each glass 360 ml.
   • (a) Total capacity of 8 glasses?
     8 × 360 ml = 2,880 ml
   • (b) How much milk in bottle?
     2,880 ml (in glasses) + 120 ml (left) = 3,000 ml
   • (c) 1 l costs ₹40. 3 l cost?
     3 × ₹40 = ₹120
3. Juice vendor: 5 l orange juice, glasses 250 ml each.
   • (a) How many full glasses?
     5 l = 5,000 ml; 5,000 ÷ 250 = 20 glasses
   • (b) 10 glasses served, how much left?
     10 × 250 ml = 2,500 ml; 5,000 ml – 2,500 ml = 2,500 ml
   • (c) 250 ml for ₹25. Selling all 5 l?
     20 glasses × ₹25 = ₹500
4. Factory: 8 l 400 ml oil into 7 containers. How much in each?
   8 l 400 ml = 8,400 ml; 8,400 ml ÷ 7 = 1,200 ml per container.
5. Eight containers, each 1 l 75 ml buttermilk. Total?
   1 l 75 ml = 1,075 ml; 1,075 ml × 8 = 8,600 ml = 8 l 600 ml

What is Weight and Capacity? - NCERT Class 5 Maths 2025-26

Learning Weight and Capacity in NCERT Class 5 Maths helps you understand how objects are measured and compared in daily life. With practice, students build a strong foundation for higher-level maths and science concepts.

This chapter uses real-life examples for kilograms, grams, litres, and millilitres. By mastering these, you’ll easily solve problems and score better marks in your exams. Remember, clear understanding leads to faster calculation!

Regularly revise weight and capacity conversions and do the practice exercises for Class 5 Maths Chapter 8. This will make you confident and help you avoid mistakes in units – a key tip for exam success!