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

Question 1: Express as metres:

• 24 km 128 m
• 9 km

Ans:

• 24 km 128 m 
  Conversion: 24 km = 24 × 1000 m = 24000 m 
  Total: 24000 m + 128 m = 24128 m 
• 9 km 
  Conversion: 9 km = 9 × 1000 m = 9000 m
  
  

Question 2: Express as/using decimals:

• 15,691 ml
• 32 l 126 ml

Ans:

• 15,691 ml 
  Conversion to liters (1 liter = 1000 ml): 15 , 691 ml = 15.691 l
• 32 l 126 ml 
  Conversion to liters: 32 l + 0.126 l = 32.126 l

Question 3: Add:

• 15 kg 816 g and 26 kg 506 g
• 44 m 26 cm, 38 m 70 cm and 12 m 45 cm
• 46 km 87 m and 52 km 105 m

Ans:

• 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
• 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
• 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
  
  

Question 4: 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: $8820g8820\; \backslash text\{\; g\}$8820 g
• Rice: $15000g15000\; \backslash text\{\; g\}$15000 g
• Sugar: $11200g11200\; \backslash text\{\; g\}$11200 g

Total in grams: $8820g+15000g+11200g=35020g8820\; \backslash text\{\; g\}\; +\; 15000\; \backslash text\{\; g\}\; +\; 11200\; \backslash text\{\; g\}\; =\; 35020\; \backslash text\{\; g\}$ g
Convert back to kg and g: $\mathrm{<br\; style="word-break:\; break-word;\; line-height:\; 1.8;\; font-family:\; Lato,\; sans-serif;\; font-size:\; 20px;\; letter-spacing:\; inherit;\; color:\; black;">}$35 kg 20 g

Question 5: 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
Weight of empty tin:$\mathrm{ }$20575 g − 19525 g = 1050 g
Convert to kg and g: $1kg50g1\; \backslash text\{\; kg\}\; 50\; \backslash text\{\; g\}$1 kg 50 g

Question 6: 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\; \backslash text\{\; m\}\; +\; 10000\; \backslash text\{\; m\}\; +\; 2915\; \backslash text\{\; m\}\; =\; 29130\; \backslash text\{\; m\}$16215 m + 10000 m + 2915 m = 29130 m
Convert back to km and m: 29 km 130 m

Question 7: 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: $3204cm3204\; \backslash text\{\; cm\}$ cm
Each piece: 3204 cm/6 ≈ 534 cm
Convert back to m and cm: 5 m 34 cm

Question 8: 7,325 cl = _______ hl.
Ans: Convert cl to hl: 7,325 cl = 7325 cl / 10000 hl = 0.7325 hl

Question 9: 6,400 dg = ______ dag.
Ans: Convert dg to dag: 6,400 dg = 6400 dg / 100 dag = 64 dag

Question 10: 47,251 dm = _______ hm.
Ans: Convert dm to hm: 47,251 dm = 47251 dm / 1000 hm = 47.251 hm

Question 11: Subtract:

• 43 km 634 m – 18 km 805 m
• 15 kg 203 g – 11 kg 572 g
• 15 cm 8 mm – 6 cm 9 mm

Ans:

• 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
• 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
• 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

Question 12: 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

Question 13: Express as kg and g:

• 3,206 g
• 18,372 g
• 56,009 g

Ans:

• Result: 3 kg 206 g 
• Result: 18 kg 372 g
• Result: 56 kg 9 g
  
  

Question 14: Express as kg using decimals:

• 8,432 g
• 21 kg 85 g

Ans:

• Conversion to kilograms: 8.432 kg
• Conversion to kilograms: 21.085 kg

Question 15: 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