Important Questions: Far and Near | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download

Q1: Calculate the sum of lengths: 21 m 13 cm, 33 m 55 cm and 45 m 6 cm.

Solution:

21 m 13 cm + 33 m 55 cm + 45 m 6 cm

= (21 + 33 + 45) m (13 + 55 + 6) cm

= 99 m 74 cm

Therefore, the sum of given lengths = 99 m 74 cm.

Q2: Beena bought a ribbon 3 m 76 cm long. How much more ribbon does she need to make the total length 4 m?

Solution:

Given length of ribbon = 3 m 76 cm

Let us convert this length into centimeters:
3 m 76 cm = (3 × 100 + 76) cm
= (300 + 76) cm
= 376 cm

4 m = (4 × 100) cm = 400 cm

Difference = (400 – 376) cm = 24 cm

Therefore, Beena needs 24 cm more ribbon.

Q3: Convert 7 m into centimeters.

Solution: 
1 m = 100 cm
7 m = 7 × 100 = 700 cm

Q4: A rope is 2 m 45 cm long. Another piece of rope is 1 m 60 cm long. What is the total length of the two ropes?

Solution:
Length of first rope = 2 m 45 cm = (2 × 100 + 45) cm = 245 cm
Length of second rope = 1 m 60 cm = (1 × 100 + 60) cm = 160 cm

Total length = 245 + 160 = 405 cm

Convert back to meters: 405 cm = 4 m 5 cm

Total length = 4 m 5 cm

Q5: Convert 2300 cm into meters.

Solution: 
2300 ÷ 100 = 23 m

Q6: A pencil is 35 cm long. Another pencil is 42 cm long. Find their total length.

Solution:
Length of first pencil = 35 cm
Length of second pencil = 42 cm

Total length = 35 + 42 = 77 cm

Answer: Total length = 77 cm

Q7: A ribbon is 5 m 20 cm long. Beena used 2 m 75 cm of it. How much ribbon is left?

Solution:
Total ribbon = 5 m 20 cm = (5 × 100 + 20) cm = 520 cm
Used ribbon = 2 m 75 cm = (2 × 100 + 75) cm = 275 cm

Ribbon left = 520 – 275 = 245 cm

Convert back to meters: 245 cm = 2 m 45 cm

Answer: Ribbon left = 2 m 45 cm

Q8: A thread is 3 m 60 cm long. If 1 m 85 cm is cut from it, find the remaining length.

Solution:
Total thread = 3 m 60 cm = (3 × 100 + 60) cm = 360 cm
Cut length = 1 m 85 cm = (1 × 100 + 85) cm = 185 cm

Remaining length = 360 – 185 = 175 cm

Convert back to meters: 175 cm = 1 m 75 cm

Answer: Remaining thread = 1 m 75 cm

Q9: A piece of wire is 45 cm long. If 8 such pieces are joined end to end, what will be the total length?

Solution:
Length of one piece = 45 cm
Number of pieces = 8

Total length = 45 × 8 = 360 cm

Convert to meters: 360 cm = 3 m 60 cm

Answer: Total length = 3 m 60 cm

Q10: Convert the following: 

A) Convert 5 km into meters.
Solution: 1 km = 1000 m
5 × 1000 = 5000 m

B) Convert 7500 m into kilometers.
Solution: 1 km = 1000 m
7500 ÷ 1000 = 7.5 km