NCERT Solutions for Class 5 Maths Chapter 5 Far and Near – step-by-step answers to every exercise and in-text question of the chapter, as per the latest NCERT syllabus for 2027. Read them online or download the free question-answer PDF.
Chapter 5 of Math Mela is about measuring length and distance. Saris in a weaving centre, the world’s tallest statues, a 3-km race, the longest train journey in India, a sprouting moong seed and a roll of cloth teach four big ideas: pick the right unit for the thing you are measuring, change one unit into another (mm, cm, m, km), add, subtract, multiply and divide lengths just as you do with plain numbers, and use a double number line to see two units side by side.
NCERT Solutions for Class 5 Maths Chapter 5 Far and Near PDF
All the answers are on this page below. The PDF also explains every answer – why it is right and how to check it – so download it for revision.
| Chapter | Download | |
|---|---|---|
| Solutions PDF (English medium) | Far and Near | View PDF |
| Solutions PDF (Hindi medium) | दूर और पास | View PDF |
NCERT Solutions for Class 5 Maths Chapter 5 Far and Near – Questions and Answers
All 39 questions of the chapter (textbook pages 57 – 69) are answered below, in the order of the book – in-text questions, activities and the end-of-chapter exercises. Each answer is written the way you would write it in the exam.
Let Us Find — Page 57Choosing the right unit of measurement
| Quantity | Unit of measurement Metre (m) or centimetre (cm) |
|---|---|
| Height of India Gate | 42 ______ |
| Length of a handkerchief | 40 ______ |
| Depth of a well | 50 ______ |
| Length of a mobile phone | 13 ______ |
| Length of an elephant’s trunk | 2 ______ |
| Distance between two buttons on a shirt | 5 ______ |
Big things get metres (m). Small things get centimetres (cm). Here is the filled table.
| Quantity | Number given | Unit | Why |
|---|---|---|---|
| Height of India Gate | 42 | metre (m) | It is a huge gate — much taller than your school |
| Length of a handkerchief | 40 | centimetre (cm) | It fits in your pocket |
| Depth of a well | 50 | metre (m) | A well goes deep down into the ground |
| Length of a mobile phone | 13 | centimetre (cm) | It fits in your hand |
| Length of an elephant’s trunk | 2 | metre (m) | A trunk is longer than you are tall |
| Distance between two buttons on a shirt | 5 | centimetre (cm) | It is about the width of three fingers |
Different Units but Same Measure — Pages 57–58Shikha and Sonu at the village weaving centre
Top blank = 200 cm. Bottom blanks = 4 m, 5 m and 7 m.
2 m = 2 × 100 = 200 cm (the top blank)
400 cm = 400 ÷ 100 = 4 m
500 cm = 500 ÷ 100 = 5 m
700 cm = 700 ÷ 100 = 7 m
| Measure | Measure |
|---|---|
| 204 cm | 5 metre 40 cm |
| 540 cm | 2 metre 204 cm |
| 750 cm | 2 metre 4 cm |
| 240 cm | 2 metre 40 cm |
| 404 cm | 6 metre 150 cm |
All five pairs match. Here they are.
| Measure in cm | Same as | Working |
|---|---|---|
| 204 cm | 2 metre 4 cm | 200 + 4 = 204 cm ✓ |
| 540 cm | 5 metre 40 cm | 500 + 40 = 540 cm ✓ |
| 750 cm | 6 metre 150 cm | 600 + 150 = 750 cm ✓ |
| 240 cm | 2 metre 40 cm | 200 + 40 = 240 cm ✓ |
| 404 cm | 2 metre 204 cm | 200 + 204 = 404 cm ✓ |
Let Us Compare — Page 58Ritika’s rods and the world’s tallest statues
(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
(a) < (b) > (c) < (d) = (e) =
| Part | Left side in cm | Right side in cm | Sign |
|---|---|---|---|
| (a) 456 cm and 5 m | 456 | 5 × 100 = 500 | < |
| (b) 55 + 200 and 200 + 54 | 255 | 254 | > |
| (c) 6 m 5 cm and 6 m 50 cm | 600 + 5 = 605 | 600 + 50 = 650 | < |
| (d) 2 m 150 cm and 3 m 50 cm | 200 + 150 = 350 | 300 + 50 = 350 | = |
| (e) 238 cm and 138 cm + 1 m | 238 | 138 + 100 = 238 | = |
(a) What is the difference between the height of the tallest statue in the world and the Statue of Liberty?
(b) Identify the statues whose heights have the least difference.
(c) Identify the statues whose heights have the largest difference.
(d) The height of which statue will be equal to the height of the Statue of Unity, if it is doubled?
| Statue | Country | Height |
|---|---|---|
| Statue of Unity | India | 182 m |
| Spring Temple Buddha | China | 128 m |
| Guanyin of Nanshan | China | 108 m |
| Statue of Liberty | USA | 93 m |
| The Motherland Calls | Russia | 91 m |
| Christ the Redeemer | Brazil | 38 m |
(a) Tallest statue = Statue of Unity (182 m). 182 m − 93 m = 89 m.
(b) Statue of Liberty (93 m) and The Motherland Calls (91 m): 93 − 91 = 2 m, the least difference.
(c) Statue of Unity (182 m) and Christ the Redeemer (38 m): 182 − 38 = 144 m, the largest difference.
(d) The Motherland Calls, Russia: 91 m × 2 = 182 m.
Measuring Long Distances · Let Us Do — Page 59Long Tape, Rodometer, Rangefinder, Laser Distance Meter
(a) Identify and write the locations that are the nearest and the farthest from your home.
(b) Write the distances obtained above in increasing order.
(c) Name a location that is equal to or more than 1,000 m from your home.
(your own places and step counts will be different). My rule: 140 steps make about 100 m.
| Place | Steps counted | Distance from home |
|---|---|---|
| Neighbour’s house | 70 | 50 m |
| Village shop | 280 | 200 m |
| School | 700 | 500 m |
| Bus stand | 1,680 | 1,200 m = 1 km 200 m |
(a) Nearest location: the neighbour’s house (50 m). Farthest location: the bus stand (1 km 200 m).
(b) In increasing order: 50 m, 200 m, 500 m, 1,200 m.
(c) A location 1,000 m or more from home: the bus stand, which is 1,200 m — more than 1 km away.
Let Us Explore — Page 591,000 m = 1 km
| Length of rope | Number of ropes needed to make 1 km |
|---|---|
| 1,000 m | 1 |
| 100 m | |
| 10 m | |
| 200 m | |
| 500 m | |
| 250 m |
Here is the filled table. Every time, ask: how many of these ropes, laid end to end, make 1,000 m?
| Length of rope | Number of ropes needed to make 1 km | How we found it |
|---|---|---|
| 1,000 m | 1 | 1,000 ÷ 1,000 = 1 |
| 100 m | 10 | 1,000 ÷ 100 = 10 |
| 10 m | 100 | 1,000 ÷ 10 = 100 |
| 200 m | 5 | 1,000 ÷ 200 = 5 |
| 500 m | 2 | 1,000 ÷ 500 = 2 |
| 250 m | 4 | 1,000 ÷ 250 = 4 |
Kilometre Race — Page 60Sheena and Jennifer organise a 3-km race
6 water stations. They go at 500 m, 1,000 m, 1,500 m, 2,000 m, 2,500 m and 3,000 m from the start.
3,000 ÷ 500 = 6 water stations
Positions: 500 m, 1 km, 1 km 500 m, 2 km, 2 km 500 m, 3 km
10 children. They stand at 300 m, 600 m, 900 m, 1,200 m, 1,500 m, 1,800 m, 2,100 m, 2,400 m, 2,700 m and 3,000 m.
Positions: 300 m, 600 m, 900 m, 1,200 m, 1,500 m,
1,800 m, 2,100 m, 2,400 m, 2,700 m, 3,000 m
60 flags in all — 30 red and 30 blue.
60 ÷ 2 = 30 red flags and 30 blue flags
Total = 30 + 30 = 60 flags
Let Us Do: Longest Train Journey — Pages 60–61The Vivek Express, Dibrugarh to Kanniyakumari
| Station number | Name of the station | Distance from Dibrugarh |
|---|---|---|
| 9 | Dimapur | 306 km |
| 14 | Guwahati | 556 km |
| 22 | Jalpaiguri Road | 983 km |
| 34 | Bhubaneswar | 2,007 km |
| 40 | Visakhapatnam | 2,450 km |
| 45 | Vijayawada JN | 2,800 km |
| 55 | Coimbatore JN | 3,675 km |
| 65 | Kanniyakumari | 4,187 km |
The total length of the route from Dibrugarh to Kanniyakumari is _______ km.
4,187 km.
The table gives the distance of every station from Dibrugarh. Kanniyakumari is the last station, so its distance is the whole journey.
1,817 km.
= 2,800 − 1,000 + 17
= 1,800 + 17
= 1,817 km
350 km.
Visakhapatnam = 2,450 km from Dibrugarh
2,800 − 2,450 = 350 km
Bhubaneswar and Jalpaiguri Road are farther apart — 1,024 km, against only 250 km for the other pair.
556 − 306 = 250 km
Bhubaneswar and Jalpaiguri Road:
2,007 − 983 = 1,024 km
1,024 km > 250 km
3,119 km.
− 556
———————
3,119 km
Let Us Explore: The World of Small Things — Page 61Sprout, small screws, nail — and the millimetre
We measure them in millimetres (mm), using the tiny marks on the ruler.
So a screw of 2 cm 4 mm = 20 + 4 = 24 mm
There are 9 small marks between the 1 and the 2, and they cut that centimetre into 10 equal parts. Each part is 1 millimetre.
Let Us Measure — Page 61The design made of four shapes, one inside another
Sample measurements (to the nearest millimetre — yours may differ by 1 mm). Write each one in the box beside that line.
| Shape | Its four sides |
|---|---|
| Outer four-sided figure (black) | 6 cm 8 mm, 6 cm 0 mm, 6 cm 1 mm, 6 cm 8 mm |
| Big diamond (blue) | 4 cm 4 mm, 4 cm 1 mm, 4 cm 4 mm, 4 cm 8 mm |
| Rectangle (green) | 3 cm 5 mm, 2 cm 8 mm, 3 cm 5 mm, 2 cm 7 mm |
| Small tilted square (red) | 2 cm 5 mm, 2 cm 3 mm, 2 cm 2 mm, 1 cm 9 mm |
Let Us Do — Page 62Growing a moong or chana sprout and measuring it
| Number of days | Length of the sprout (in mm) |
|---|---|
| Day 1 | |
| Day 2 | |
| Day 3 | |
| Day 4 |
(your own seed will give different numbers):
| Number of days | Length of the sprout (in mm) | Growth since the day before |
|---|---|---|
| Day 1 | 3 mm | — |
| Day 2 | 8 mm | 5 mm |
| Day 3 | 15 mm (1 cm 5 mm) | 7 mm |
| Day 4 | 24 mm (2 cm 4 mm) | 9 mm |
Let Us Draw — Page 62Drawing lines of a given length with a scale
1. 5 cm 5 mm
2. 3 cm 6 mm
3. 8 cm 3 mm
4. 36 mm
5. 67 mm
Put a dot at the 0 mark of the ruler, put a second dot at the length shown below, and join the two dots along the ruler.
| Line | Where the second dot goes | Same length in mm |
|---|---|---|
| 5 cm 5 mm | past 5, then 5 small marks more | 55 mm |
| 3 cm 6 mm | past 3, then 6 small marks more | 36 mm |
| 8 cm 3 mm | past 8, then 3 small marks more | 83 mm |
| 36 mm | same as 3 cm 6 mm | 36 mm |
| 67 mm | same as 6 cm 7 mm | 67 mm |
Change the millimetres into centimetres and millimetres first. Your ruler has big numbers for centimetres, so it is much easier to find 3 cm 6 mm than to count 36 tiny marks one by one.
67 mm = 60 mm + 7 mm = 6 cm 7 mm
Let Us Do — Pages 63–64Relationships between Different Units — 10 mm = 1 cm, 100 cm = 1 m, 1,000 m = 1 km
(a) 1 cm = 10 mm
(b) 1 m = 100 cm
| Top line (m) | 1 m | 4 m | 10 m | 12 m | 14 m | 17 m | 21 m |
|---|---|---|---|---|---|---|---|
| Bottom line (cm) | 100 cm | 400 cm | 1,000 cm | 1,200 cm | 1,400 cm | 1,700 cm | 2,100 cm |
(c) 1 km = 1,000 m
| Top line (km) | 1 km | 9 km | 25 km | 41 km | 55 km | 67 km | 82 km |
|---|---|---|---|---|---|---|---|
| Bottom line (m) | 1,000 m | 9,000 m | 25,000 m | 41,000 m | 55,000 m | 67,000 m | 82,000 m |
Empty boxes: (a) ×10 (7 cm → 70 mm) and ×7 (10 mm → 70 mm); (b) ×100 and ×4; (c) ×1,000 and ×9.
(a) 4 cm 5 mm = ____ mm
(b) 89 mm = ____ cm ____ mm
(c) 234 cm = ____ mm
(d) 514 mm = ____ cm ____ mm
(e) 6 m 34 cm = ____ cm
(f) 20 m 12 cm = ____ cm
(g) 397 m = ____ cm
(h) 5,792 cm = ____ m ____ cm
(i) 9,108 cm = ____ m ____ cm
(j) 34 km = ____ m
(k) 6,870 m = ____ km ____ m
(l) 10,552 m = ____ km ____ m
(m) 29 km 30 m = ____ m
(n) 32 km 359 m = ____ m
Keep three facts in front of you: 1 cm = 10 mm, 1 m = 100 cm, 1 km = 1,000 m.
| Part | Answer | Working |
|---|---|---|
| (a) 4 cm 5 mm | 45 mm | 4 cm = 40 mm; 40 + 5 = 45 |
| (b) 89 mm | 8 cm 9 mm | 89 = 80 + 9; 80 mm = 8 cm |
| (c) 234 cm | 2,340 mm | 234 × 10 = 2,340 |
| (d) 514 mm | 51 cm 4 mm | 514 = 510 + 4; 510 mm = 51 cm |
| (e) 6 m 34 cm | 634 cm | 6 m = 600 cm; 600 + 34 = 634 |
| (f) 20 m 12 cm | 2,012 cm | 20 m = 2,000 cm; 2,000 + 12 = 2,012 |
| (g) 397 m | 39,700 cm | 397 × 100 = 39,700 |
| (h) 5,792 cm | 57 m 92 cm | 5,792 = 5,700 + 92; 5,700 cm = 57 m |
| (i) 9,108 cm | 91 m 8 cm | 9,108 = 9,100 + 8; 9,100 cm = 91 m |
| (j) 34 km | 34,000 m | 34 × 1,000 = 34,000 |
| (k) 6,870 m | 6 km 870 m | 6,870 = 6,000 + 870 |
| (l) 10,552 m | 10 km 552 m | 10,552 = 10,000 + 552 |
| (m) 29 km 30 m | 29,030 m | 29 km = 29,000 m; 29,000 + 30 |
| (n) 32 km 359 m | 32,359 m | 32 km = 32,000 m; 32,000 + 359 |
Adding and Subtracting Lengths — Pages 64–65Saji’s walk and the electricians’ cable
Saji walked 8 km 100 m in the whole day.
Way 2: 3,450 m + 4,650 m = 8,100 m = 8 km 100 m
Both ways agree ✓
46 m 25 cm of cable is left.
− 1,675 cm
———————————
4,625 cm
4,625 cm = 4,600 cm + 25 cm = 46 m 25 cm
Let Us Do — Page 66Word problems on adding and subtracting lengths
Rani has 6 m of ribbon.
= 5 m + 100 cm
= 5 m + 1 m
= 6 m of ribbon
Sanchi is 30 km 800 m from the waterfall.
17 km 900 m = 17,900 m
48,700 m
− 17,900 m
—————————————
30,800 m = 30 km 800 m
The cable car covers 4 km 950 m in all.
= 4 km 950 m (= 4,950 m)
(a) 11 mm and 1 cm
(b) 26 mm and 2 cm
(c) 20 cm and 201 mm
(d) 1,020 mm and 1 m
(e) 2 m and 245 cm
(f) 5,678 m and 6 km
(g) 6 km 1,480 m and 7 km 479 m
The one rule: change both lengths into the same unit first, then compare and subtract.
| Part | Both in one unit | Bigger length (circle this) | Difference |
|---|---|---|---|
| (a) 11 mm and 1 cm | 11 mm and 10 mm | 11 mm | 1 mm |
| (b) 26 mm and 2 cm | 26 mm and 20 mm | 26 mm | 6 mm |
| (c) 20 cm and 201 mm | 200 mm and 201 mm | 201 mm | 1 mm |
| (d) 1,020 mm and 1 m | 1,020 mm and 1,000 mm | 1,020 mm | 20 mm = 2 cm |
| (e) 2 m and 245 cm | 200 cm and 245 cm | 245 cm | 45 cm |
| (f) 5,678 m and 6 km | 5,678 m and 6,000 m | 6 km | 322 m |
| (g) 6 km 1,480 m and 7 km 479 m | 7,480 m and 7,479 m | 6 km 1,480 m | 1 m |
Multiplying and Dividing Lengths — Pages 66–67Shirts, cloth for bags, a sari border and a new road
36 m of cloth is needed.
= (20 × 1 m) + (20 × 80 cm)
= 20 m + 1,600 cm
= 20 m + 16 m
= 36 m of cloth
1 m of cloth costs ₹20.
1 m costs 100 ÷ 5 = ₹20
| Length of cloth | 5 m | 10 m | 20 m | 40 m | 100 m |
|---|---|---|---|---|---|
| Cost | ₹100 | ₹200 | ₹400 | ₹800 | ₹2,000 |
20 m: 20 × 20 = ₹400
40 m: 40 × 20 = ₹800
₹2,000: 2,000 ÷ 20 = 100 m
The three empty boxes are ×2 (5 m to 10 m), ×20 (metres to rupees) and ×2 (₹100 to ₹200).
She needs 10 m of thread, and it will cost ₹500.
500 ÷ 50 = 10 parts
Thread needed = 10 × 1 m = 10 m
Cost = 10 × ₹50 = ₹500
2 km 100 m of road is laid each day.
12,600 ÷ 6 = 2,100 m
2,100 m = 2 km 100 m each day
Let Us Estimate — Page 68Guessing heights and depths using a reference
The tallest building near my home is a four-storeyed hospital. My reference was a single-storeyed house, which is about 3 m tall. 4 storeys × 3 m = 12 m, so the hospital is about 12 m tall.
The tallest tree near my home is a neem tree. My reference was my father, who is about 1 m 70 cm tall; about 8 of him would reach the top. 8 × 170 cm = 1,360 cm, so the tree is about 13 m 60 cm tall.
The well in our village is about 12 m deep. I found out by tying a stone to a long rope, lowering it until it touched the bottom, marking the rope at the top of the well, and measuring that length with a long tape.
Let Us Explore — Page 68Feet and inches — the units we use for height
1 inch = 2 cm 5 mm, which is 25 mm. And 1 foot = 12 inches, about 30 cm.
1 foot = 12 inches
1 foot = 12 × 2 cm 5 mm = 12 × 25 mm = 300 mm = 30 cm
Measure Your Height — Page 69Measuring heights in feet and inches
| Name | Height in cm | Height in feet and inches |
|---|---|---|
| Meera | 125 cm | about 4 ft 2 in |
| Arjun | 130 cm | about 4 ft 4 in |
| Fatima | 135 cm | about 4 ft 6 in |
| Ravi (tallest) | 140 cm | about 4 ft 8 in |
In this sample class the tallest student is Ravi, whose height is about 4 feet 8 inches.
Try This — Page 69The operation-sign puzzle
Here is the completed grid. Every row has all four signs, and so does every column.
| Column 1 | Column 2 | Column 3 | Column 4 | |
|---|---|---|---|---|
| Row 1 | ÷ | – | × | + |
| Row 2 | + | × | – | ÷ |
| Row 3 | – | ÷ | + | × |
| Row 4 | × | + | ÷ | – |
Chapter 5 of 15 – Maths
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Also for This Chapter
NCERT Solutions Class 5 Maths Chapter 5 Far and Near – Overview
| Class | Class 5 |
| Subject | Maths |
| Chapter | 5 – Far and Near |
| Textbook pages | 57 – 69 |
| Questions solved | 39 |
| Session | 2027 |
| Format | Full answers on this page + PDF |
NCERT Solutions Class 5 Maths Chapter 5 – FAQs
Where can I download NCERT Solutions Class 5 Maths Chapter 5 Far and Near PDF?
Read every answer on this page, or download the free PDF from the table at the top.
Is this for the 2027 session?
Yes, it follows the latest NCERT Class 5 Maths book for 2027.
How many questions are solved in NCERT Class 5 Maths Chapter 5?
All 39 questions of the chapter (textbook pages 57 – 69) – the in-text questions, activities and the end-of-chapter exercises.
How should I use these solutions?
Read the chapter in the NCERT book first, attempt the questions yourself, then check your answers here.