NCERT Solutions for Class 5 Mathematics Math-Mela Chapter 5 Far and Near
NCERT solutions for Class 5 Mathematics Chapter Far and Near – complete answers & explanations
This blog provides NCERT solutions for Class 5 Mathematics Chapter Far and Near. This chapter helps students understand measurement of length, different units like millimetres, centimetres, metres, and kilometres, and how to use them in real-life situations. It also focuses on comparing distances, solving practical problems, and estimating measurements. This blog gives complete NCERT solutions strictly based on the worksheet, making it easy for students to learn and practice with confidence.
What this NCERT chapter covers?
1. Understanding units of length such
as mm, cm, m, and km
2. Converting between different units of measurement
3. Comparing lengths using mathematical symbols
4. Solving real-life problems related to distance and measurement
5. Learning estimation skills for everyday situations
6. Applying addition, subtraction, multiplication, and division to lengths
How to use these NCERT solutions?
1. First attempt all questions from
the worksheet on your own
2. Use these answers to check your work and correct mistakes
3. Follow the same order as given in the worksheet for better understanding
4. Parents and teachers can guide students step-by-step using these solutions
5. Revise regularly to improve accuracy and confidence
Important tips & tricks for students
1. Always convert units into the same form before comparing
2. Remember key conversions like 1 m = 100 cm and 1 km = 1000 m
3. Be careful while adding or subtracting different units
4. Check your answers using estimation whenever possible
5. Practice real-life examples to understand concepts better
NCERT solutions – complete answer key
Let Us Find
1. Height of India Gate – 42 m
2. Length of a handkerchief – 40 cm
3. Depth of a well – 50 m
4. Length of a mobile phone – 13 cm
5. Length of an elephant’s trunk – 2 m
6. Distance between two buttons on a shirt – 5 cm
Different Units but Same Measure
1. 2 m 4 cm
2. 5 m 40 cm
3. 7 m 50 cm
4. 2 m 40 cm
5. 4 m 4 cm
Let Us Compare
1.
(a) 456 cm < 5 m
(b) 55 cm + 200 cm > 200 cm + 54 cm
(c) 6 m 5 cm < 6 m 50 cm
(d) 2 m 150 cm < 3 m 50 cm
(e) 238 cm = 138 cm + 1 m
2.
(a) 182 m − 93 m = 89 m
(b) Statue of Liberty and The Motherland Calls
(c) Statue of Unity and Christ the Redeemer
(d) The Motherland Calls
Let Us Do
(a) Nearest location: Classroom → 40 m
Farthest location: Playground → 200 m
(b) 40 m, 80 m, 120 m, 160 m, 200 m
(c) Market → 1,200 m
Let Us Explore
Steps calculation
40 m → 80 steps
80 m → 160 steps
120 m → 240 steps
160 m → 320 steps
200 m → 400 steps
Kilometre Race
1. Number of water stations = 6
Positions from starting point:
500 m, 1000 m, 1500 m, 2000 m, 2500 m, 3000 m
2. Number of children = 10
Positions from starting point:
300 m, 600 m, 900 m, 1200 m, 1500 m, 1800 m, 2100 m, 2400 m, 2700 m, 3000 m
3. Total flags = 60
Number of red flags = 30
Number of blue flags = 30
Longest Train Journey
1. 4,187 km
2. Distance between Vijayawada Jn and Jalpaiguri Road = 1,817 km
3. Distance between Vijayawada Jn and Visakhapatnam = 350 km
4. Bhubaneswar and Jalpaiguri Road are farther apart
5. Distance between Guwahati and Coimbatore Jn = 3,119 km
Let Us Do
Number of days Length of the sprout (in mm)
Day 1 2
Day 2 5
Day 3 10
Day 4 18
Let Us Draw
1. 5 cm 5 mm (5.5 cm)
2. 3 cm 6 mm (3.6 cm)
3. 8 cm 3 mm (8.3 cm)
4. 36 mm (3 cm 6 mm)
5. 67 mm (6 cm 7 mm)
Explanation:
36 mm = 3 cm 6 mm
67 mm = 6 cm 7 mm
To draw these, first convert millimetres into centimetres and millimetres using
10 mm = 1 cm.
Then use a ruler to mark the centimetres and add the remaining millimetres.
Use your understanding from above to fill in the blanks appropriately.
(a) 45 mm
(b) 8 cm 9 mm
(c) 2340 mm
(d) 51 cm 4 mm
(e) 634 cm
(f) 2012 cm
(g) 39700 cm
(h) 57 m 92 cm
(i) 91 m 8 cm
(j) 34000 m
(k) 6 km 870 m
(l) 10 km 552 m
(m) 29030 m
(n) 32359 m
Adding and Subtracting Lengths
1. 6 m
2. 30 km 800 m
3. 47 m 25 cm
Let Us Do
(a) Bigger length = 11 mm
Difference = 1 mm
(b) Bigger length = 26 mm
Difference = 6 mm
(c) Bigger length = 201 mm
Difference = 1 mm
(e) Bigger length = 245 cm
Difference = 45 cm
(f) Bigger length = 6000 m
Difference = 322 m
(g) Bigger length = 7 km 480 m
Difference = 1 m
Multiplying and Dividing Lengths
Thread needed = 10 m
Cost = ₹500
Total length of road = 12 km 600 m
Convert into metres: 12,600 m
Work done each day = 12,600 ÷ 6 = 2,100 m
Convert back: 2 km 100 m
Let Us Estimate
1. Estimated height of the tallest building = 30 m
2. Estimated height of the tallest tree = 12 m
3. Estimated depth of a well/swimming pool = 5 m
Measure your height
Answers may vary.
Why NCERT solutions help students?
NCERT solutions help students prepare effectively for exams by providing accurate and structured answers. They improve concept clarity, ensure proper understanding of measurement concepts, and build confidence through regular practice aligned with the NCERT pattern.
Help your child master measurement concepts and build strong problem-solving skills with accurate Class 5 Mathematics NCERT solutions.