Samacheer Kalvi Class 5 Maths Solutions Term 2 Chapter 4 Measurements Exercise 4.2

Samacheer Kalvi 5th Maths Guide Term 2 Chapter 4 Measurements Ex 4.2

 

Question 1. Fill in the blanks
(i) _______ is the smallest metric measure of capacity.
(ii) _______ is the largest unit of capacity and equals _______ litres
Answer:
(i) Milliliter
(ii) Kilolitre, 1000. One Kilolitre is equal to 1000 litres, making it a very large unit.
In simple words: A milliliter is the tiniest amount of liquid we usually measure, like in a small spoon. A kilolitre is a very big amount, like 1000 regular litres, which is good for measuring lots of water.

🎯 Exam Tip: Remember the basic prefixes: "milli-" means one-thousandth, and "kilo-" means one thousand. This applies across all metric measurements like length (meter), weight (gram), and capacity (liter).

 

Question 1. (iii) 7 kl 301 = _______ l.
Answer: 7030 l. To convert kilolitres to litres, multiply by 1000. So, 7 kilolitres is 7000 litres, and adding 30 litres gives 7030 litres.
In simple words: When you have 7 kilolitres and 30 litres, you turn the 7 kilolitres into 7000 litres and add the 30 litres to get a total of 7030 litres.

🎯 Exam Tip: Always convert all units to the smallest unit requested (in this case, litres) before combining them to avoid errors.

 

Question 1. (iv) 5 l 400 ml = _______ ml.
Answer: 5400 ml. Since 1 litre equals 1000 millilitres, 5 litres become 5000 millilitres. Adding the remaining 400 millilitres gives 5400 millilitres.
In simple words: Five litres is the same as 5000 millilitres. When you add 400 more millilitres, you get 5400 millilitres in total.

🎯 Exam Tip: Remember that there are 1000 millilitres in every litre. This is a common conversion factor that must be applied carefully.

 

Question 1. (v) 1300 ml = _______ l, _______ ml
Answer: 1 l, 300 ml. Since there are 1000 millilitres in 1 litre, 1300 millilitres can be split into 1000 millilitres (which is 1 litre) and 300 millilitres.
In simple words: If you have 1300 millilitres, it's like having 1 full litre and 300 millilitres extra.

🎯 Exam Tip: To convert millilitres to litres and remaining millilitres, divide the total millilitres by 1000. The quotient is litres, and the remainder is millilitres.

 

Question 2. Match the following

Answer:In simple words: To match, remember that 1000 millilitres (ml) make 1 litre (l). So, for example, 4500 ml becomes 4 litres and 500 ml. You just need to find the correct pair for each number.

🎯 Exam Tip: When matching units, always convert them to the same base unit (like ml or l) mentally or on paper to ensure accuracy before selecting the pair.

 

Question 3. Add and write in litres
(i) 400 l; 50 l; 500 ml
Answer:

Sum = 450 l 500 ml. We add the litres column first, then the millilitres. Since 500 ml is less than 1000 ml, it stays as 500 ml.
In simple words: We add 400 litres and 50 litres to get 450 litres. Then, we add 500 millilitres. The total is 450 litres and 500 millilitres.

🎯 Exam Tip: Always add quantities in the same unit column first. If the millilitre sum is 1000 ml or more, convert it to litres and carry over to the litres column.

 

Question 3. (ii) 3 kl; 400 l; 3 ml
Answer:

Sum = 3 kl 400 l 3 ml. We convert all units to their respective columns and then sum them up. A helpful mental check is to remember that 1 kl = 1000 l and 1 l = 1000 ml.
In simple words: We add 3 kilolitres, 400 litres, and 3 millilitres. The final answer is 3 kilolitres, 400 litres, and 3 millilitres, as no units overflow into the next higher unit.

🎯 Exam Tip: When dealing with multiple units like kl, l, and ml, ensure each quantity is placed in its correct column before adding. Use placeholder zeros for empty unit places.

 

Question 3. (iii) 1400 ml; 5680 ml; 280 l
Answer:

Sum = 287 l 080 ml. First, convert all millilitre quantities to litres and millilitres, then arrange and add them in their respective columns.
In simple words: We change 1400 ml to 1 litre and 400 ml, and 5680 ml to 5 litres and 680 ml. Then we add all the litres (1+5+280 = 286) and all the millilitres (400+680 = 1080). Since 1080 ml is 1 litre and 80 ml, we add that 1 litre to the 286 litres, making 287 litres and 80 ml.

🎯 Exam Tip: Always convert all units to the standard litre/millilitre format (e.g., 1400 ml becomes 1 l 400 ml) before performing addition to avoid errors and ensure proper column alignment.

 

Question 4. Subtract:
(i) 3 kl from 15485 l
Answer:

Difference = 12485 l. First, convert 3 kilolitres to litres (3 kl = 3000 l). Then, subtract this value from 15485 litres.
In simple words: We want to take 3 kilolitres away from 15485 litres. Since 3 kilolitres is the same as 3000 litres, we just subtract 3000 from 15485, which leaves us with 12485 litres.

🎯 Exam Tip: Before subtracting, make sure both quantities are in the same unit. Convert the larger unit to the smaller unit (kilolitres to litres) for easier calculation.

 

Question 4. (ii) 15 kl from 20 kl
Answer:

Difference = 15 kl. Both quantities are already in kilolitres, so a direct subtraction can be performed.
In simple words: We simply subtract 5 kilolitres from 20 kilolitres, and we are left with 15 kilolitres.

🎯 Exam Tip: When units are already the same, direct arithmetic operations can be applied. Always double-check the units match before starting any calculation.

 

Question 4. (iii) 345 ml from 5 l
Answer:

Difference = 4 l 655 ml. To subtract 345 ml from 5 l, we need to convert 5 l to 4 l and 1000 ml. Then, subtract 345 ml from 1000 ml. The remaining litres stay as 4 l.
In simple words: We need to take away 345 millilitres from 5 litres. We borrow 1 litre from the 5 litres, making it 4 litres and 1000 millilitres. Then, we subtract 345 millilitres from 1000 millilitres, which leaves 655 millilitres. So, the final answer is 4 litres and 655 millilitres.

🎯 Exam Tip: When subtracting, if the millilitre quantity in the top number is smaller than the bottom number, always "borrow" 1 litre (which is 1000 ml) from the litre column to complete the subtraction.

 

Question 5. Multiply the following:
(i) 3 l 200 ml \( \times \) 8
Answer:

Product = 25 l 600 ml. First, multiply the millilitres (200 ml \( \times \) 8 = 1600 ml). Convert 1600 ml to 1 litre and 600 ml, carrying over 1 litre. Then, multiply the litres (3 l \( \times \) 8 = 24 l) and add the carried-over 1 litre to get 25 l.
In simple words: First, multiply 200 ml by 8 to get 1600 ml. This is 1 litre and 600 ml. Keep the 600 ml and carry over the 1 litre. Next, multiply 3 litres by 8 to get 24 litres. Add the carried-over 1 litre to make it 25 litres. So, the total is 25 litres and 600 millilitres.

🎯 Exam Tip: Always multiply the millilitre part first. If the product is 1000 ml or more, convert it to litres and carry over the litres to be added to the product of the litre column.

 

Question 5. (ii) 4 l 450 ml \( \times \) 4
Answer:

Product = 17 l 800 ml. First, multiply the millilitres (450 ml \( \times \) 4 = 1800 ml). Convert 1800 ml to 1 litre and 800 ml, carrying over 1 litre. Then, multiply the litres (4 l \( \times \) 4 = 16 l) and add the carried-over 1 litre to get 17 l.
In simple words: Multiply 450 millilitres by 4 to get 1800 millilitres. This is the same as 1 litre and 800 millilitres. Keep the 800 ml and add the 1 litre to the result from the litres column. Multiply 4 litres by 4 to get 16 litres, then add the carried-over 1 litre to make 17 litres. So the answer is 17 litres and 800 millilitres.

🎯 Exam Tip: It is crucial to correctly manage the "carry-over" from the millilitre multiplication to the litre column to ensure the final product is accurate. Make sure to clearly show the carry-over digit.

 

Question 5. (iii) 5 l 300 ml \( \times \) 5
Answer:

Product = 26 l 500 ml. Multiply the millilitres (300 ml \( \times \) 5 = 1500 ml). This is 1 litre and 500 ml, so carry over 1 litre. Multiply the litres (5 l \( \times \) 5 = 25 l) and add the carried-over 1 litre to get 26 l.
In simple words: First, multiply 300 millilitres by 5 to get 1500 millilitres. This is 1 litre and 500 millilitres. So, write down 500 ml and carry over 1 litre. Then, multiply 5 litres by 5 to get 25 litres, and add the carried-over 1 litre to make it 26 litres. The total is 26 litres and 500 millilitres.

🎯 Exam Tip: Always perform multiplication for millilitres first, convert any surplus to litres, and then carry those litres over to the litres column before multiplying the litre quantity.

 

Question 5. (iv) 6 l 700 ml \( \times \) 6
Answer:

Product = 40 l 200 ml. Multiply the millilitres (700 ml \( \times \) 6 = 4200 ml). This is 4 litres and 200 ml, so carry over 4 litres. Multiply the litres (6 l \( \times \) 6 = 36 l) and add the carried-over 4 litres to get 40 l.
In simple words: First, multiply 700 millilitres by 6, which gives 4200 millilitres. This is the same as 4 litres and 200 millilitres. Write down 200 ml and carry over 4 litres. Next, multiply 6 litres by 6 to get 36 litres. Add the carried-over 4 litres to get 40 litres. So, the final answer is 40 litres and 200 millilitres.

🎯 Exam Tip: When multiplying, organize your work into clear columns for litres and millilitres. This helps in correctly carrying over values and reduces errors in calculations.

 

Question 6. Divide the following:
(i) 18 l 240 ml \( \div \) 6
Answer:

18 l 240 ml \( \div \) 6 = 3 l 40 ml. Divide the litres first. 18 l \( \div \) 6 = 3 l. Then, divide the millilitres. 240 ml \( \div \) 6 = 40 ml. Combine these results.
In simple words: We divide the litres part (18) by 6, which gives 3 litres. Then, we divide the millilitres part (240) by 6, which gives 40 millilitres. So, the answer is 3 litres and 40 millilitres.

🎯 Exam Tip: When dividing mixed units, always divide the larger unit first. If there's a remainder from the larger unit, convert it to the smaller unit and add it to the existing quantity of the smaller unit before continuing the division.

 

Question 6. (ii) 20 l 600 ml \( \div \) 2
Answer:

20 l 600 ml \( \div \) 2 = 10 l 300 ml. Divide 20 litres by 2 to get 10 litres. Then divide 600 millilitres by 2 to get 300 millilitres.
In simple words: We split 20 litres equally into two parts, which gives 10 litres for each part. Then, we split 600 millilitres equally into two parts, which gives 300 millilitres for each part. So, the total is 10 litres and 300 millilitres.

🎯 Exam Tip: This is a straightforward division where both parts are perfectly divisible. Ensure to write down the division steps clearly for both units separately, especially if there were remainders.

 

Question 6. (iii) 21 l 490 ml \( \div \) 7
Answer:

21 l 490 ml \( \div \) 7 = 3 l 70 ml. Divide 21 litres by 7 to get 3 litres. Divide 490 millilitres by 7 to get 70 millilitres.
In simple words: We divide 21 litres into 7 equal parts, giving 3 litres for each part. Then, we divide 490 millilitres into 7 equal parts, giving 70 millilitres for each part. So, the final answer is 3 litres and 70 millilitres.

🎯 Exam Tip: Always make sure to write down the quotient for both the litre and millilitre divisions clearly. Any remainder from the litre division should be converted to millilitres and added to the existing millilitres before proceeding.

 

Question 6. (iv) 25 l 350 ml \( \div \) 5
Answer:

25 l 350 ml \( \div \) 5 = 5 l 70 ml. Divide 25 litres by 5 to get 5 litres. Then, divide 350 millilitres by 5 to get 70 millilitres.
In simple words: When we divide 25 litres by 5, we get 5 litres for each part. Then, we divide 350 millilitres by 5, which gives 70 millilitres for each part. So, the final answer is 5 litres and 70 millilitres.

🎯 Exam Tip: Ensure that you carry out the division for each unit (litres and millilitres) separately and accurately. Double-check your multiplication tables for the divisor to ensure correct quotients.

 

Question 7. Kalaiyarasi bought 5 l 500 ml groundnut oil and 750 ml sesame oil. How much oil did she bought in all?
Answer:

Kalaiyarasi bought 6 l 250 ml of oil in total. First, add the millilitre quantities (500 ml + 750 ml = 1250 ml). Convert 1250 ml to 1 litre and 250 ml, carrying over 1 litre. Then, add the litre quantities (5 l + 0 l + 1 carried over l = 6 l).
In simple words: Kalaiyarasi bought 5 litres and 500 millilitres of groundnut oil, plus 750 millilitres of sesame oil. Adding the millilitres, she has 1250 millilitres, which is 1 litre and 250 millilitres. Adding this 1 litre to the 5 litres, she bought a total of 6 litres and 250 millilitres of oil.

🎯 Exam Tip: For "in all" questions, it indicates addition. Always align quantities by unit (litres with litres, millilitres with millilitres) before adding, and remember to carry over if millilitres exceed 999.

 

Question 8. In a fuel station there was 70 l 500 ml of fuel. How much amount of fuel will be left after selling 35 l 700 ml of fuel?
Answer:

34 l 800 ml of fuel will be left. To subtract 700 ml from 500 ml, we borrow 1 litre (1000 ml) from the 70 litres, making it 69 litres and 1500 ml. Then, subtract 700 ml from 1500 ml (leaving 800 ml). Finally, subtract 35 l from 69 l (leaving 34 l).
In simple words: We start with 70 litres and 500 millilitres of fuel. We need to sell 35 litres and 700 millilitres. Since 500 millilitres is less than 700 millilitres, we borrow 1 litre from the 70 litres. This makes it 69 litres and 1500 millilitres. Now, we can take away 700 millilitres, leaving 800 millilitres. Then, we take away 35 litres from the 69 litres, leaving 34 litres. So, 34 litres and 800 millilitres of fuel are left.

🎯 Exam Tip: For "how much left" questions, it means subtraction. Always set up the problem with the larger quantity on top. Remember to borrow from the litre column if the millilitre quantity being subtracted is larger.

 

Question 9. A pot contains 9 l 500 ml of water, how much amount of water will 7 such pots contain?
Answer:

Seven pots will contain 66 l 500 ml of water. Multiply the millilitres first (500 ml \( \times \) 7 = 3500 ml). Convert 3500 ml to 3 litres and 500 ml, carrying over 3 litres. Then, multiply the litres (9 l \( \times \) 7 = 63 l) and add the carried-over 3 litres to get 66 l.
In simple words: One pot holds 9 litres and 500 millilitres. To find out how much 7 pots hold, we multiply. First, 500 millilitres times 7 is 3500 millilitres, which is 3 litres and 500 millilitres. Keep the 500 ml and add the 3 litres to the litre total. Next, 9 litres times 7 is 63 litres. Add the 3 carried-over litres to get 66 litres. So, 7 pots hold 66 litres and 500 millilitres.

🎯 Exam Tip: For "how much will N items contain" questions, multiplication is needed. Remember to carry over any complete litres resulting from the millilitre multiplication to the litre column.

 

Question 10. 25 l 500 ml of milk is filled in 5 milk cans, how much milk is filled in one can?
Answer:

One can contains 5 l 100 ml of milk. Divide the litres first (25 l \( \div \) 5 = 5 l). Then, divide the millilitres (500 ml \( \div \) 5 = 100 ml).
In simple words: If 25 litres and 500 millilitres of milk are shared equally among 5 cans, we first divide the litres: 25 litres divided by 5 is 5 litres for each can. Then, we divide the millilitres: 500 millilitres divided by 5 is 100 millilitres for each can. So, each can holds 5 litres and 100 millilitres of milk.

🎯 Exam Tip: When distributing a total quantity equally, division is the operation. Divide each unit (litres and millilitres) separately by the given number of items, ensuring accurate calculations for both parts.