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Solutions

Overview

Step-by-step NCERT solutions for Weight and Capacity (Chapter 8, NCERT Class 5 Mathematics) — every question and answer worked out in full, not just the final result. You can also read the Weight and Capacity textbook chapter.

Solved

What these solutions cover

All 46 questions in Weight and Capacity are solved in the PDF. Here's what's inside, exercise by exercise:

Check! Check! — Correct/Incorrect Weight Estimates (p. 104)

  1. Anu has recorded the weights of items in her house. Put a tick if the weight looks 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 Which ones are correct?

Let Us Do — Reading Weighing Scales (p. 104)

  1. Read the scales and write the correct weight.
    • (a) Circular scale (0–4 kg range) — answer in g
    • (b) Circular scale (0–2 kg range) — answer in kg and g
    • (c) Circular scale (0–6 kg range) — answer in kg and g
    • (d) Circular scale (0–4 kg range) — answer in kg and g
    • (e) Fine circular scale (0–1 kg / 0–1000 g range) — answer in g
    • (f) Fine circular scale (0–1 kg / 0–1000 g range) — answer in g

Different Units but Same Measure — kg and g Matching + Double Number Line (p. 105)

  1. Match the bags that have the same weights. Weighing Balance 1 (in kg): 5 kg, 10 kg, 3 kg, 6 kg, 25 kg, 30 kg Weighing Balance 2 (in g): 3,000 g, 6,000 g, 10,000 g, 30,000 g, 5,000 g, 25,000 g
  2. Fill in the missing values on the double number line. kg: 1, 3, 8, ___, 20, ___, 30 g: 1,000, ___, ___, 15,000, ___, 25,000, ___ Also, what is the multiplying factor from kg to g (shown as x___ in the circle)?

Let Us Find — kg to g Conversions (p. 106)

  1. Shamim thinks 5 kg 50 g = 5,050 g. Rehan thinks it is 5,500 g. Who is right and why?
  2. 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
    • (d) 10,760 g = ___ kg ___ g
    • (e) 4,080 g = ___ kg ___ g
    • (f) 12,042 g = ___ kg ___ g

Comparison between Different Weights (p. 107)

  1. Harpreet's family carried these fruits on a picnic: Watermelon – 3 kg, Pineapple – 1 kg 750 g, Apples – 1 kg 250 g, Mangoes – 2 kg
    • (a) Which fruit has the highest weight?
    • (b) Which fruit has the least weight?
    • (c) Arrange the items in descending order of weight.
  2. Compare 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 ___ 10,035 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

Let Us Find — Milligram Conversions (p. 108)

  1. If a sugar sachet weighs 5 g, how much will it be in milligrams?
  2. Complete the double number line. mg: 1,000, ___, 12,000, 20,000, ___, 31,000 g: 1, ___, 12, ___, 25, ___
  3. An ornament weighs 4 g 100 mg. What will be the weight in milligrams?
  4. A goldsmith has made an ornament weighing 10 g 500 mg. What will its weight be in milligrams?
  5. Compare 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
  6. Observe the pictures: an elephant weighs 5,000 kg and a blue whale weighs 40 times as much. Fill in the whale's weight in kg.
  7. Answer the following questions using: 100 kg = 1 quintal, 1,000 kg = 1 tonne.
    • (a) 5,000 kg = ___ quintals = ___ tonne
    • (b) 9,000 kg = ___ quintals
    • (c) ___ kg = 8 tonnes

King's Weight — Word Problems (p. 109)

  1. In a kingdom, the king donates wheat grains equal to 10 times his weight on his birthday.
    • (a) If he donates 800 kg of wheat grain this birthday, what is his current weight?
    • (b) If he had donated 780 kg of wheat grain on his last birthday, what was his weight last year?
    • (c) How much weight did he gain in a year until this birthday?

The Grocery Store — Addition and Subtraction of Weights (p. 110–111)

  1. Rathna bought 2 kg 500 g rice for daily use and 1 kg 750 g for the Pongal festival. How much total rice did she buy? How much extra rice did she buy for household use than for the Pongal festival?

Let Us Do — Weight Addition and Subtraction Problems (p. 111)

  1. A 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 in 3 days?
  2. Aarav lifts two baskets of apples weighing 2 kg 100 g and 3 kg 950 g. What is the total weight?
  3. 4 kg 500 g of sand is used from a sack weighing 10 kg. How much sand is left?
  4. A rice sack weighs 9 kg 750 g. After some rice is used, it weighs 3 kg 700 g. How much rice was used?
  5. A delivery truck delivered 17 kg 900 g in the morning and 12 kg 700 g in the afternoon. What is the total?
  6. A box of books weighs 14 kg 750 g. After removing some books, it weighs 10 kg 500 g. What is the weight of the books removed?
  7. In a Gurdwara community kitchen, 65 kg of flour was purchased. Out of this, 42 kg 275 g was used for langar. The next day, 52 kg 500 g more flour was bought. What is the total flour now available?

Let Us Do — Multiplication and Division of Weights / Grocery Costs (p. 112)

  1. The cost of some grocery items is given below. Find the total cost of each item. Rice: 12 kg 500 g at Rs 60 per kg Flour: 7 kg 250 g at Rs 40 per kg Sugar: 5 kg at Rs 45 per kg Chana dal: 3 kg 600 g at Rs 70 per kg Besan: 4 kg at Rs 60 per kg Jaggery: 1 kg 400 g at Rs 50 per kg
  2. 4 people need 500 g rice for a meal. How much rice will be needed for 8 people if they eat a similar quantity?
  3. 5 kg of tomatoes cost Rs 73. How much will 10 kg of tomatoes cost?
  4. Nitesh is a scrap dealer. How much would he have paid for:
    • (a) 16 kg of old newspaper at Rs 8 per kg?
    • (b) 20 kg iron at Rs 200 per 10 kg?
    • (c) 10 kg plastic at Rs 30 per 5 kg?

Measuring Capacity — Sense of Units (p. 113)

  1. How much water and milk do we need to make 2 cups of tea? Do we need 1 l of water? Is 500 ml enough?
  2. A bucket can hold a maximum of 20 ml of water. Is this correct? Which unit should be used?

Big to Small, Small to Big — ml and l Conversions (p. 113)

  1. Ramiz brings a 500 ml water bottle to school. He drinks two bottles at school. How much water does he drink? How many litres is that?
  2. Muskaan drinks 3 l of water in a day. How many times would she need to refill a 500 ml water bottle? How many ml does she drink?
  3. Write the total capacity of the following containers in each blank. Group 1: a 1 l jug, a 500 ml container, and a 100 ml container. Group 2: a 1 l jug and a 500 ml container. Group 3: a 500 ml bottle, a 100 ml container, and two 50 ml containers. Group 4: two 1 l jugs and a 100 ml container.

Different Units but Same Measure

  1. Bhalerao's family orders 2 l of milk every day. They have a vessel marked in ml only. What mark will you see in the vessel for 2 l?
  2. Fill in the missing values on the double number line. l: 1, 2, 6, 8, ___, 14, ___, ___ ml: 1,000, 2,000, ___, ___, 12,000, ___, 20,000, 25,000
  3. Complete the milkman's delivery table. Family | Milk in l | Quantity in ml Arora's: 8 l | ___ Nair's: 14 l | ___ Shrivastava's: ___ l | 12,000 Das's: ___ l | 20,000 Rao's: ___ l | 25,000

Let Us Think — l to ml Conversions (p. 115)

  1. Mary and Daisy filled a bottle with 1 l 400 ml of water. Mary says it is 1,400 ml. Daisy says it is 1,040 ml. Who is correct and why?
  2. Convert and fill in the blanks.
    • (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

Let Us Compare — Petrol Pump and Capacity Comparisons (p. 115–116)

  1. Kiran records petrol sales at her pump in a day. Vehicle | No. of vehicles | Fuel per vehicle (l) Truck | 3 | 500 Bus | 6 | 300 Car | 10 | 50 Auto Rickshaw | 12 | 8 Two-wheeler | 25 | 5 Find total fuel for each vehicle type. Then: (a) How much more fuel is bought for buses than trucks? (b) What is the total fuel sold that day?
  2. Compare the following quantities using <, =, >.
    • (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
  3. Tina bought 2 l 500 ml of petrol. Sam bought 2 l 800 ml more than Tina. How much petrol did Sam buy? After refueling, Sam's gauge read 9 l. How much fuel did Sam have before refueling?

Let Us Solve — Capacity Word Problems (p. 118)

  1. Riya fills one 2 l bottle and four 500 ml bottles. Her friend Aarav fills three 750 ml bottles. Who filled more water? How much more?
  2. A bottle of milk is poured equally into 8 glasses, leaving 120 ml in the bottle.
    • (a) If each glass holds 360 ml, what is the total capacity of 8 glasses?
    • (b) How much milk was in the bottle initially?
    • (c) If 1 l of milk costs Rs 40, how much will 3 l cost?
  3. A juice vendor has a 5 l container of orange juice. Each glass holds 250 ml.
    • (a) How many full glasses can he serve?
    • (b) If he has served 10 glasses, how much juice is left?
    • (c) If 250 ml of juice sells at Rs 25, how much will he earn by selling all 5 l?
  4. In a factory, 8 l 400 ml of oil needs to be equally poured into 7 containers. How much oil will each container hold?
  5. If one container holds 1 l 75 ml of buttermilk, how much buttermilk will be there in 8 such containers?
Sample

Worked examples

3 questions from Weight and Capacity, solved step by step.

Let Us Find — kg to g Conversions (p. 106)

Shamim thinks 5 kg 50 g = 5,050 g. Rehan thinks it is 5,500 g. Who is right and why?

5 kg = 5 x 1,000 g = 5,000 g.

5 kg 50 g = 5,000 g + 50 g = 5,050 g.

Rehan's mistake: he wrote 500 g instead of 50 g, giving 5,500 g.

Shamim is correct.

Answer: Shamim is correct. 5 kg 50 g = 5,000 + 50 = 5,050 g. Rehan confused 50 g with 500 g.

The Grocery Store — Addition and Subtraction of Weights (p. 110–111)

Rathna bought 2 kg 500 g rice for daily use and 1 kg 750 g for the Pongal festival. How much total rice did she buy? How much extra rice did she buy for household use than for the Pongal festival?

Total rice = 2 kg 500 g + 1 kg 750 g.

Add grams: 500 + 750 = 1,250 g = 1 kg 250 g.

Add kg: 2 + 1 = 3 kg, plus the 1 kg from grams = 4 kg.

Total = 4 kg 250 g.

Extra for household = 2 kg 500 g - 1 kg 750 g.

2,500 g - 1,750 g = 750 g.

Answer: Total rice = 4 kg 250 g. She bought 750 g more for household use than for the Pongal festival.

Let Us Do — Weight Addition and Subtraction Problems (p. 111)

A 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 in 3 days?

Total = 5 kg 200 g + 8 kg 900 g + 12 kg 600 g.

Convert to grams: 5,200 + 8,900 + 12,600 = 26,700 g.

26,700 g = 26 kg 700 g.

Answer: 26 kg 700 g

All 46 questions in Weight and Capacity are solved step by step in the Solutions PDF above.

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Read the Weight and Capacity textbook chapter / PDF, or browse all NCERT Class 5 Mathematics solutions.

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