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Worksheet Solutions: Measurement of Length, Mass and Capacity | Mathematics for Class 5 PDF Download

Q1: Express as metres:
(i) 24 km 128 m
(ii) 9 km
Ans:
(i) 24 km 128 m 
Conversion: 24 km = 24 × 1000 m = 24000 m 
Total: 24000 m + 128 m = 24128 m 
(ii) 9 km 
Conversion: 9 km = 9 × 1000 m = 9000 m

Q2: Express as/using decimals:
(i)15,691 ml
(ii)32 l 126 ml
Ans: (i)15,691 ml Conversion to liters (1 liter = 1000 ml): 15 , 691 ml = 15.691 l
(ii) 32 l 126 ml Conversion to liters: 32 l + 0.126 l = 32.126 l

Q3: Add:
(i)15 kg 816 g and 26 kg 506 g
(ii) 44 m 26 cm, 38 m 70 cm and 12 m 45 cm
(iii) 46 km 87 m and 52 km 105 m

Ans:
(i) 15 kg 816 g and 26 kg 506 g 
Convert all to grams: 15816 g + 26506 g = 42322 g
Convert back to kg and g: 42 kg 322 g

(ii) 44 m 26 cm, 38 m 70 cm and 12 m 45 cm 
Convert all to cm: 4426 cm , 3870 cm , 1245 cm
Sum: 4426 cm + 3870 cm + 1245 cm = 9541 cm
Convert back to m and cm: 95 m 41 cm

(iii) 46 km 87 m and 52 km 105 m 
Convert all to meters: 46087 m + 52105 m = 98192 m
Convert back to km and m: 98 km 192 m

Q4: Mohit purchased 8 kg 820 g wheat, 15 kg rice and 11 kg 200 g sugar. Find the total mass of the articles.
Ans: Mohit's total mass of purchases:
Wheat: 8 kg 820 g
Rice: 15 kg
Sugar: 11 kg 200 g

Convert all weights to grams for easier addition:
Wheat: 8820 g8820 \text{ g}8820 g
Rice: 15000 g15000 \text{ g}15000 g
Sugar: 11200 g11200 \text{ g}11200 g

Total in grams: 8820 g+15000 g+11200 g=35020 g8820 \text{ g} + 15000 \text{ g} + 11200 \text{ g} = 35020 \text{ g} g
Convert back to kg and g:
35 kg 20 g

Q5: Yamini purchased a tin full of biscuits which weighs 20 kg 575 g. The biscuits alone weigh 19 kg 525 g. What is the weight of the empty tin?
Ans: Total weight of tin with biscuits: 20 kg 575 g
Weight of biscuits alone: 19 kg 525 g
Total Weight of tin with biscuits (in Grams): (20 x 1000) + 575 = 20575 g
Total Weight of  biscuits alone (in Grams): (19 x 1000) + 525 = 19525 g
Weight of empty tin: 20575 g − 19525 g = 1050 g
Convert to kg and g: 
g1 \text{ kg} 50 \text{ g}
1 kg 50 g

Q6: Lekha travelled 16 km 215 m b car 10 km b bus and 2 km 915 m on foot. Find the total distance travelled by her.
Ans: Total distance travelled by Lekha:
By car: 16 km 215 m
By bus: 10 km
On foot: 2 km 915 m
Convert all distances to meters for easier addition:
Car: 16215 m
Bus: 10000 m
Foot: 2915 m
Total in meters:  m16215 \text{ m} + 10000 \text{ m} + 2915 \text{ m} = 29130 \text{ m}16215 m + 10000 m + 2915 m = 29130 m
Convert back to km and m: 29 km 130 m

Q7: An iron rod of length 32 m 4 cm is cut into 6 equal pieces. What is the length of each piece?
Ans: Total length of iron rod: 32 m 4 cm
Divide by 6 to find the length of each piece:
Convert to cm: 3204 cm3204 \text{ cm} cm
Each piece: 3204 cm/6 ≈ 534 cm
Convert back to m and cm: 5 m 34 cm

Q8: 7,325 cl = _______ hl.
Ans: Convert cl to hl: 7,325 cl = 7325 cl / 10000 hl = 0.7325 hl

Q9: 6,400 dg = ______ dag.
Ans: Convert dg to dag: 6,400 dg = 6400 dg / 100 dag = 64 dag

Q10: 47,251 dm = _______ hm.
Ans: Convert dm to hm: 47,251 dm = 47251 dm / 1000 hm = 47.251 hm

Q11: Subtract:
(i) 43 km 634 m – 18 km 805 m
(ii) 15 kg 203 g – 11 kg 572 g
(iii) 15 cm 8 mm – 6 cm 9 mm

Ans:
(i) 43 km 634 m – 18 km 805 m 
Convert both to meters for easy subtraction: 43634 m − 18805 m = 24829 m 
Result: 24 km 829 m

(ii) 15 kg 203 g – 11 kg 572 g 
Convert both to grams for easy subtraction: 15203 g − 11572 g = 3631 g 
Result: 3 kg 631 g

(iii) 15 cm 8 mm – 6 cm 9 mm 
Convert both to millimeters for easy subtraction: 1508 mm − 609 mm = 899 mm
Result: 8 cm 99 mm

Q12: Priyanka went to her cousin's house which was 40 km 500 m away from her home. She covered 26 km 250 m by car, 13 km 740 m by bus and rest by rickshaw. Find the total distance covered on rickshaw.
Ans: Total distance: 40500 m 
Distance by car: 26250 m
Distance by bus: 13740 m
Distance by rickshaw: 40500 m − ( 26250 m + 13740 m ) = 510 m 
Result: 510 m

Q13: Express as kg and g:
(i)3,206 g
(ii)18,372 g
(iii) 56,009 g

Ans:
(i) 3 kg 206 g 
(ii) 18 kg 372 g
(iii) 56 kg 9 g

Q14: Express as kg using decimals:
(i) 8,432 g
(ii) 21 kg 85 g

Ans:
(i) 8.432 kg
(ii) 21.085 kg

Q15: A train covers a distance of 240 km 992 m in 8 hours. What distance does the train cover in 1 hour?
Ans: Train's distance in 1 hour 
Total distance in meters: 240992 m
240992 m ÷ 8 hours = 30124 m per hour 
Result: 30 km 124 m

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FAQs on Worksheet Solutions: Measurement of Length, Mass and Capacity - Mathematics for Class 5

1. What are the standard units of measurement for length, mass, and capacity used in Class 5?
Ans.In Class 5, the standard units of measurement for length are meters (m) and centimeters (cm), for mass are grams (g) and kilograms (kg), and for capacity are liters (L) and milliliters (mL).
2. How do you convert centimeters to meters in measurement?
Ans.To convert centimeters to meters, divide the number of centimeters by 100. For example, 150 cm is equal to 150 ÷ 100 = 1.5 m.
3. What is the difference between mass and weight?
Ans.Mass is the amount of matter in an object and is measured in grams or kilograms, while weight is the force exerted by gravity on that mass and is measured in newtons (N). In everyday situations, mass and weight are often used interchangeably, but scientifically they are different.
4. How can I measure the capacity of a liquid using a measuring cup?
Ans.To measure the capacity of a liquid using a measuring cup, pour the liquid into the cup until it reaches the desired measurement mark. Make sure to check the measurement at eye level to ensure accuracy.
5. What are some examples of objects that can be measured in terms of length, mass, and capacity?
Ans.Examples of objects that can be measured in terms of length include a pencil (length in centimeters), mass could be a bag of flour (measured in kilograms), and capacity could be a bottle of water (measured in liters).
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