Maharashtra Board Class 5 Maths Chapter 11 Problems on Measurement Set 46 Solutions

Problems On Measurement Class 5 Problem Set 46 Question Answer Maharashtra Board

Std 5 Maths Chapter 11 Problems On Measurement

Question 1. Add :
(1) Rs. 9, 50 paise + Rs. 14, 60 paise
Answer:

Rs.	Paise
1
9	50
+ 14	60
24	10

50 paise + 60 paise
= 110 paise
= 1 Rs. 10 paise
∴ Rs. 24, 10 paise
In simple words: To add amounts in Rupees and Paise, first add the Paise. If the sum of Paise is 100 or more, convert 100 Paise into 1 Rupee and carry it over to the Rupees column, then add the Rupees.

🎯 Exam Tip: Remember to carry over 1 Rupee for every 100 Paise when adding amounts to avoid calculation errors.

 

Question 1. Add :
(2) 6 cm 5 mm + 7 cm 9 mm
Answer:

cm	mm
1
6	5
+ 7	9
14	4

5 mm + 9 mm
= 14 mm
= 1 cm 4 mm
∴ 14 cm 4 mm
In simple words: When adding measurements like cm and mm, add the millimeters first. Since 10 mm equals 1 cm, carry over any full centimeters to the cm column, then add the centimeters.

🎯 Exam Tip: Always remember the conversion factor (10 mm = 1 cm) and apply it correctly when carrying over units during addition.

 

Question 1. Add :
(3) 22 m 50 cm + 25 m 75 cm
Answer:

m	cm
1
22	50
+ 25	75
48	25

50 cm + 75 cm
= 125 cm
= 1 m 25 cm
∴ 48 m 25 cm
In simple words: To add lengths in meters and centimeters, add the centimeters first. Since 100 cm equals 1 m, convert any 100 cm into 1 m and add it to the meters column, then sum the meters.

🎯 Exam Tip: Pay close attention to the conversion (100 cm = 1 m) when carrying over from the centimeters to the meters column to maintain accuracy.

 

Question 1. Add :
(4) 15 km 740 m + 13 km 950 m
Answer:

km	m
1
15	740
+ 13	950
29	690

740 m + 950 m
= 1690 m
= 1 km 690 m
∴ 29 km 690 m
In simple words: When adding distances in kilometers and meters, start by adding the meters. As 1000 m makes 1 km, convert any sum of meters greater than or equal to 1000 m into kilometers and carry it over before adding the kilometers.

🎯 Exam Tip: The key is to correctly convert meters to kilometers (1000 m = 1 km) and carry over when the sum of meters exceeds this value.

 

Question 1. Add :
(5) 25 kg 650 g + 29 kg 770 g
Answer:

kg	gm
1
25	650
+ 29	770
55	420

650 gm + 770 gm
= 1420 gm
= 1 kg 420 gm
∴ 55 kg 420 gm
In simple words: To add masses in kilograms and grams, first add the grams. Since 1000 gm equals 1 kg, convert every 1000 gm into 1 kg and carry it over to the kilograms column, then add the kilograms.

🎯 Exam Tip: Ensure accurate conversion of grams to kilograms (1000 gm = 1 kg) when performing addition, as this is a common source of error.

 

Question 1. Add :
(6) 19l 840ml + 25l 250ml
Answer:

l	ml
1
19	840
+ 25	250
45	090

840 ml + 250 ml
= 1090 ml
= 1 l + 90 ml
∴ 45 l 90 ml
In simple words: When adding liquid volumes in liters and milliliters, sum the milliliters first. Since 1000 ml is equal to 1 l, convert any 1000 ml into 1 l and carry it over to the liters column, then add the liters.

🎯 Exam Tip: Correctly converting milliliters to liters (1000 ml = 1 l) is essential for getting the right answer in capacity addition problems.

 

Question 2. Subtract:
(1) Rs. 19, 50 paise - Rs. 12, 60 paise
Answer:

Rs.	Paise
18	150
19	50
- 12	60
6	90

We cannot subtract 60 paise from 50 paise. So convert 1 Rs. into 100 paise.
∴ 6 Rs., 90 paise
In simple words: When subtracting amounts, if the paise to be subtracted is greater than the paise available, borrow 1 Rupee (100 paise) from the Rupees column, add it to the available paise, and then perform the subtraction.

🎯 Exam Tip: Remember that borrowing 1 Rupee means adding 100 Paise to the Paise column, and reducing the Rupees column by 1. This conversion is crucial for accurate subtraction.

 

Question 2. Subtract:
(2) 24 cm 2 mm - 3 cm 8 mm
Answer:

cm	mm
23	12
24	2
- 3	8
20	4

We cannot subtract 8 mm from 2 mm. So, convert 1 cm = 10 mm
∴ 20 cm 4 mm
In simple words: To subtract measurements like cm and mm, if the millimeters to be subtracted are more than the available millimeters, borrow 1 cm (which is 10 mm) from the centimeters column, add it to the existing millimeters, and then subtract.

🎯 Exam Tip: Always remember that when borrowing from centimeters, 1 cm converts to 10 mm, which needs to be added to the millimeters column before subtracting.

 

Question 2. Subtract:
(3) 20 m 30 cm - 17 m 60 cm
Answer:

m	cm
19	130
20	30
- 17	60
2	70

We cannot subtract 60 cm from 30 cm. So, convert 1 m = 100 cm
∴ 2 m 70 cm
In simple words: When subtracting lengths in meters and centimeters, if the centimeters to be subtracted are more than what is available, borrow 1 m (100 cm) from the meters column, add it to the centimeters, and then proceed with the subtraction.

🎯 Exam Tip: The crucial step here is knowing that 1 meter is equivalent to 100 centimeters, which allows for proper borrowing and subtraction in these problems.

 

Question 2. Subtract:
(4) 40 km 255 m - 17 km 960 m
Answer:

km	m
39	1225
40	255
- 17	960
22	265

We cannot subtract 960 m from 225 m. So, convert 1 km = 1000 m
∴ 22 km 265 m
In simple words: For subtracting distances in kilometers and meters, if the meters to be subtracted are larger than the available meters, borrow 1 km (1000 m) from the kilometers column, add it to the meters, and then perform the subtraction.

🎯 Exam Tip: When borrowing from the kilometers column, remember to add 1000 meters to the meters column, as 1 km equals 1000 m, which is vital for correct calculations.

 

Question 2. Subtract:
(5) 35 kg 150 g - 26 kg 470 g
Answer:

kg	gm
34	1150
35	150
- 26	470
8	680

We cannot subtract 470 gm from 150 gm. So, convert 1 kg= 1000gm
∴ 8 kg 680 gm
In simple words: When subtracting masses in kilograms and grams, if the grams to be subtracted are more than the available grams, borrow 1 kg (1000 gm) from the kilograms column, add it to the grams, and then subtract.

🎯 Exam Tip: Ensure that you correctly convert 1 kg to 1000 gm when borrowing, as this step is fundamental for accurate subtraction of masses.

 

Question 2. Subtract:
(6) 46 l 200 ml - 38 l 750 ml
Answer:

l	ml
45	1200
46	200
- 38	750
7	450

We cannot subtract 750 ml from 200 ml. So, convert 1 l = 1000 ml
∴ 7 l 450 ml
In simple words: To subtract liquid volumes in liters and milliliters, if the milliliters to be subtracted are more than the available milliliters, borrow 1 l (1000 ml) from the liters column, add it to the milliliters, and then subtract.

🎯 Exam Tip: The conversion of 1 liter to 1000 milliliters is key when borrowing in subtraction problems involving liquid capacities; make sure to apply it correctly.

Word Problems

Study the following examples.

Example (1) If a shopkeeper has 150 kg 500 g of rice and sells 75 kg 750 g, how much rice will be left?
Answer:

kg	gm
149	1500
150	500
- 75	750
74	750

74 kg 750 g of rice is left.
In simple words: To find the remaining quantity, subtract the amount sold from the initial amount. When grams to be subtracted are more than available, borrow 1 kg (1000 g) from the kilograms column.

🎯 Exam Tip: Always set up your subtraction vertically with like units aligned. Remember the conversion (1 kg = 1000 g) when borrowing is necessary for accurate results.

 

Example (2) A can of milk has 20 l 450 ml of milk. Another can has 18 l 800 ml. How much milk is there in the two cans altogether?
Answer:

l	ml
1
20	450
+ 18	800
39	250

The total quantity of milk is 39l 250ml.
In simple words: To find the total quantity of milk, add the volumes from both cans. Sum the milliliters first, and if the total exceeds 1000 ml, convert 1000 ml to 1 liter and carry it over to the liters column before summing the liters.

🎯 Exam Tip: When adding capacities, remember that 1000 ml equals 1 liter. Properly carrying over liters from the milliliters column ensures a correct total volume.

 

Example (3) At a speed of 90 km per hour, what distance will a train cover in two and a half hours?
Answer:
The speed of the train is 90 kmph. That is, it travels 90 km in one hour. It travels 90 more km in the second hour.
In the next half an hour, 90 ÷ 2 = 45 km
The total distance travelled is 90 + 90 + 45 = 225 km.
In simple words: To calculate the total distance, multiply the speed by the total time. For partial hours, calculate the distance for that fraction of an hour and add it to the distance covered in full hours.

🎯 Exam Tip: Break down the total time into full hours and fractions of an hour. Calculate distance for each part and then sum them up, remembering that distance = speed × time.

 

Example (4) If one dress requires 3 m 25 cm of cloth, how much do 4 dresses need?
Answer:
Manju's method :
3 m 25 cm for the 1st dress
+ 3 m 25 cm for the 2nd dress
+ 3 m 25 cm for the 3rd dress
+ 3 m 25 cm for the 4th dress
---------------------
12 m 100 cm
1 m is 100 cm, therefore 12 + 1 = 13 m
Kunal's method :

m	cm
3	25
X	4
12	100

12 m 100 cm = 13 m
In simple words: To find the total cloth needed for multiple dresses, either add the requirement for each dress or multiply the requirement for one dress by the number of dresses. Remember to convert 100 cm to 1 m if the centimeters sum up to or exceed 100.

🎯 Exam Tip: Multiplication is often more efficient than repeated addition. When multiplying mixed units, multiply each unit separately and then apply conversions (e.g., 100 cm = 1 m) to simplify the result.

 

Example (5) If a wire that is 9 m 50 cm long is cut into pieces of 5 cm each, how many pieces will be made?
Answer:
9 m 50 cm = (900 + 50) cm = 950 cm
To find out how many pieces of 5 cm can be made from a wire 950 cm long, let us use division.

ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक लंबी विभाजन प्रक्रिया को दर्शाता है जहाँ 950 को 5 से विभाजित किया गया है। भागफल 190 है, जिसका अर्थ है कि 950 सेमी लंबी तार को 5 सेमी के 190 टुकड़ों में काटा जा सकता है। इसमें चरण-दर-चरण घटाव दिखाया गया है जब तक कि शेषफल शून्य न हो जाए।
190 pieces will be made.
In simple words: To find how many pieces can be made, convert the total length of the wire to a single unit (centimeters in this case) and then divide it by the length of each piece.

🎯 Exam Tip: Before performing division with different units, always convert all measurements to the smallest common unit to avoid errors and simplify the calculation.

 

Example (6) A play started at 30 minutes past 6 in the evening and finished two and three quarter hours later. What time did the play get over?
Answer:

Hr	Min
6	30
+ 2	45
8	75

75 min = 60 min + 15 min
= 1 hr + 15 min
8 hr + 1 hr 15 min = 9 hr 15 min
The play got over at 15 minutes past 9 at night.
In simple words: To find the end time, add the duration of the play to the start time. Add minutes and hours separately, converting every 60 minutes into 1 hour and carrying it over.

🎯 Exam Tip: When adding time, remember that 60 minutes make an hour, not 100. This non-decimal conversion is crucial for correct time calculations.

Note: The units for length, mass and capacity are written in decimal form. This makes it easy to carry out addition and subtraction of length, mass and capacity.
Units of measuring time are not in decimal form. It is a little more difficult to carry out additions and subtractions of those quantities.

Problems On Measurement Problem Set 46 Additional Important Questions And Answers

Add the following:

Question. (1) 12 km 880 m + 7 km 620 m
Answer:

km	m
1
12	880
+ 7	620
20	500

880m + 620 m = 1500 m
= 1km 500 m
∴ 20 km 500 m
In simple words: To add kilometers and meters, first sum the meters. If the total meters are 1000 or more, convert 1000 m to 1 km and carry it over to the kilometers column, then sum the kilometers.

🎯 Exam Tip: Always remember the conversion factor (1 km = 1000 m) when carrying over units during addition of distances to avoid calculation errors.

 

Question. (2) Rs. 62, 45 paise + Rs. 37, 55 paise
Answer:

Rs.	Paise
1
62	45
+ 37	55
100	00

45 paise + 55 paise
100 paise = 1 Rs.
∴ 100 rupees
In simple words: When adding Rupees and Paise, first add the Paise. If the sum is 100 Paise, convert it to 1 Rupee and carry it over to the Rupees column, then add the Rupees.

🎯 Exam Tip: Remember that 100 Paise equals 1 Rupee. This conversion is vital for correctly summing Indian currency amounts.

Subtract the following:

Question. (1) 15 m 15 cm - 4 m 65 cm
Answer:

kg	gm
14	115
15	15
- 4	65
10	50

We cannot subtract 65 cm from 15 cm. So, convert 1 m = 100 cm
∴ 10 m 50 cm
In simple words: To subtract lengths, if the centimeters to be subtracted are greater than the available centimeters, borrow 1 m (100 cm) from the meters column, add it to the existing centimeters, and then subtract.

🎯 Exam Tip: Always ensure you convert 1 meter to 100 centimeters accurately when borrowing to perform subtraction with mixed length units.

 

Question. (2) 29 kg 880 gm - 8 kg 900 gm
Answer:

kg	gm
28	1880
29	880
- 8	900
20	980

We cannot subtract 900 gm from 880 gm. So, convert 1 kg = 1000 gm
∴ 20 kg 980 gm
In simple words: When subtracting masses, if the grams to be subtracted exceed the available grams, borrow 1 kg (1000 gm) from the kilograms column, add it to the existing grams, and then perform the subtraction.

🎯 Exam Tip: The critical step in this type of subtraction is correctly converting 1 kg to 1000 gm when borrowing; errors often occur if this conversion is not applied accurately.