Question 1

Ritika is comparing the lengths of different rods. Compare them using  signs.
(a) 456 cm ____ 5 m

Accepted Answer

456 cm = 456 cmand 5 m = 5 × 100 = 500 cmSince, 456 cm So, 456 cm (b) 55 cm + 200 cm ____ 200 cm + 54 cmSolution:55 cm + 200 cm = 255 cmand 200 cm + 54 cm = 254 cmSince, 255 cm > 254 cmSo, 55 cm + 200 cm > 200 cm + 54 cm(c) 6 m 5 cm ____ 6 m 50 cmSolution:6 m 5 cm = 6 × 100 cm+ 5 cm= 600 cm + 5 cm = 605 cmand 6 m 50 cm = 6 × 100 cm + 50 cm= 600 cm + 50 cm = 650 cmSince, 605 cm ∴ 6 m 5 cm (d) 2 m 150 cm ____ 3 m 50 cmSolution:2 m 150 cm = 2 × 100 cm + 150 cm= 200 cm + 150 cm = 350 cm3 m 50 cm = 3 × 100 cm + 50 cm= 300 cm + 50 cm = 350 cmSince, 350 cm = 350 cmSo, 2 m 150 cm = 3 m 50 cm(e) 238 cm ____ 138 cm + 1 mSolution:138 cm + 1 m = 138 cm + 100 cm= 238 cmSince, 238 cm = 238 cmSo, 238 cm = 138 cm 1 m

Question 2

World’s tallest statue
(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?

Accepted Answer

(a) Height of the tallest statue (Statue of Unity) = 182 mHeight of Statue of Liberty = 93 mSo, difference of their height= 182 m – 93 m= 89 m(b) Let us calculate the difference of height between two consecutive statues.Statue of Unity (182 m) andSpring Temple Buddha (128 m):Difference = 54 mSpring Temple Budda (128 m) andGuanyin of Nanshan (108 m):Difference = 20 mGuanyin of Nanshan (108) andStatue of Liberty (93 m):Difference = 15 mStatue of Liberty (93 m) and TheMotherland Calls (91 m):Difference = 2 mThe Motherland Calls (91 m) andChrist the Redeemer (38 m)Difference = 53 mClearly, the least difference is 2 m.So, the Statue of Liberty and the Motherland Calls have the least difference of 2 m.(c) The largest difference in heights will be the difference in height between the i tallest and smallest statues that is Statue of Unity and the Christ the Redeemer.(d) Height of statue of Unity = 182 mSo, half height Statue of Unity,i.e., half of 182 m = 91 m which is the height of The Motherland Calls.Hence, the double the height of The Motherland Calls will be equal to the height of Statue of Unity.NCERT Textbook Page 59Let Us DoMeasure 100 m and 200 m on your school playground, or any other place in and around your school, using a Long Tape. Mark these points and draw a straight line. Walk on the lines and count the number of steps. Use this relationship between the number of steps taken and distance walked to find distances around you for at least 3 locations. Wherever possible, walk and find the number of steps. Otherwise, find the distance and estimate the number of steps.(a) Identify and write the locations that are the nearest and the farthestfrom your home.Nearest location _______________________________________________________.Farthest location ______________________________________________________.(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(а) Identify and write the locations that are the nearest and the farthest from your home.Nearest location Farthest location(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.Solution:Do it yourself.Let Us ExploreWhen we walk 1,000 m, we say we have walked 1 km.1,000 m = 1 kmKilo stands for thousand. This unit is used to measure long distances.Solution:Length of ropeNumber of ropes needed to make 1 km1,000 m1100 m1010 m100200 m5500 m2250 m4NCERT Textbook Page 60Kilometre RaceSheena and Jennifer are helping to organise a 3-km race. Help them with the arrangements for the race.

Question 3

Water stations are to be arranged after every 500 m. How many water stations must be set up? At what positions from the starting point will these water stations be placed?

Accepted Answer

Total distance = 3 km = 3 × 1000 m = 3000 mThe number of water stations to be set up = 3000 – 500 = 6So, water stations will be placed at 500 m, 1000 m, 1500 m, 2000 m, 2500 m, and 3000 m.

Question 4

Children need to stand at an interval of 300 m to direct the runners. How many children are needed? At what positions from the starting point will the children be standing?

Accepted Answer

Total distance = 3 km = 3000 mDistance between two children = 300 mSo, the number of children needed = 3000 -r 300 = 10The children will be standing at, 300 m, 600 m, 900 m, 1200 m, 1500 m, 1800 m, 2100 m, 2400 m, 2700 m and 3000 m.

Question 5

Red and blue flags are to be placed alternately at every 50 m. How many red and blue flags are needed till the finish line?

Accepted Answer

Interval between two flags = 50 mTotal number of flags needed= 3000 + 50 = 60 flagsSince, flags are placed alternately, starting from red.So, the flags will be placed as : red, blue, red, blue, …Total number of flags = 60Since, 60 is an even, they will be equally divided.So, 30 red flags and 30 blue flags are needed.NCERT Textbook Pages 60-61Let Us DoLongest Train JourneyThe longest train journey in India is by The Vivek Express which runs from Dibrugarh in Assam to Kanniyakumari in Tamil Nadu. Look at the stations on the route shown in the table below and answer the questions.1. The total length of the route from Dibrugarh to Kanniyakumari is _______________ km.Solution:4,187 km2. The distance between Vijayawada and Jalpaiguri road is _______________.Solution:2,800 km – 983 km = 1817 km3. Distance between Vijayawada and Visakhapatnam is _______________.Solution:2,800 km – 2,450 km = 350 km4. Which two stations are farther apart—Guwahati and Dimapur or Bhubaneswar and Jalpaiguri Road?Solution:Distance between Guwahati and Dimapur = 556 km – 306 km – 250 kmDistance between Bhubaneswar and Jalpaiguri Road = 2007 km – 987 km = 1,020 km∴ 1,020 > 250So, Bhubaneswar and Jalpaiguri Road is farther apart the Guwahati and Dimapuri.5. What is the distance between Guwahati and Coimbatore JN?Solution:3,675 km – 556 km = 3,119 kmNCERT Textbook Page 61Let Us MeasureMeasure the lines in the design and write their measurements in cm and mm.Solution:Do it yourself.NCERT Textbook Page 62Let Us DoSoak some seeds of whole moong or black or white chana overnight. Next morning, take them out and wrap them in a moist cloth to sprout them. Over the next 4 days, take out one seed each day and measure the length of sprout. For ease of measurement, you can either place the seed on a paper and mark the length of the sprout, or use a thread to find its length.Solution:Do it yourselfLet Us DrawDraw lines of the following lengths in your notebook using a scale.1. 5 mm 5 mm2. 3 cm 6 mm3. 8 mm 3 mm4. 36 mm5. 67 mmHow did you draw lines of lengths 36 mm and 67 mm? Share your thoughts in class.Solution:Do it yourselfNCERT Textbook Pages 63-64Let Us Do

Question 6

Fill in the blanks appropriately in the double number lines given below:

Accepted Answer

Solution:Solution:

Source: This question is from Far and Near, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Far and Near: Fill, Blanks, Appropriately, Double, Number, Lines. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Far and NearQ1: Ritika is comparing the lengths of different rods. Compare them using signs. (a) 456 cm ____ 5 m
Q10: Gulmarg Gondola in Gulmarg, Kashmir is the second longest and second highest cable car in the...
Q11: Circle the bigger length and find the difference. (a) 11 mm and 1 cm Difference— ________________...
Q12: We need a 1 m 80 cm cloth to make a shirt for a 10-year old child. How much cloth will be needed to...
Q14: Anita is making an embroidery on the border of a sari. She needs aim long thread to embroider a 50...
Practice more questions from Far and Near &mdash; Mathematics, Class 5 CBSE

Question 7

Use your understanding from above to fill in the blanks appropriately.
Use your understanding from above to fill in the blanks appropriately.
(a) 4 cm 5 mm = ______ mm

Accepted Answer

4 cm 5 mm = 4 × 10 mm + 5 mm[As 1 m = 10 mm]= 40 mm 5 mm= 45 mm(b) 89 mm = ____ cm ____ mmSolution:89 mm = 80 mm + 9 mm= 8 cm 9 mm(c) 234 cm = ____ mmSolution:234 cm = 234 × 10 mm= 2340 mm(d) 514 mm = ____ cm ____ mmSolution:514 mm = 510 mm + 4 mm= 51 cm 4 mm(e) 6 m 34 cm = ____ cmSolution:6 m 34 cm = 6 × 100 cm + 34 cm[As, 1 m = 100 cm] = 600 cm + 34 cm= 634 cm(f) 20 m 12 cm = ____ cmSolution:20 m 12 cm = 20 × 100 cm + 12 cm= 2,000 cm + 12 cm= 2,012 cm(g) 397 m = ______ cmSolution:397 m = 397 × 100 cm= 39,700 cm(h) 5,792 cm = ______m ______ cmSolution:5792 cm = 5700 cm + 92 cm= 57 m 92 cm(i) 9,108 cm = ______ m ______ cmSolution:9108 cm = 9100 cm + 8 cm= 91 m 8 cm(j) 34 km = _______ mSolution:34 km = 34 × 1000 m= 34000 m(k) 6,870 m = ____ km ____ mSolution:6,870 m = 6000 m + 870 m= 6 km 870 m(l) 10,552 m = ____ km ___ mSolution:10,552 m = 10000 m + 552 m= 10 km 552 m(m) 29 km 30 m = ____ mSolution:29 km 30 m = 29 × 1000 m + 30 m= 29000 m + 30 m= 29030 m(n) 32 km 359 m = ____ mSolution:32 km 359 m = 32 × 1000 m + 359 m= 32000 m + 359 m= 32359 mNCERT Textbook Page 66Let Us Do

Question 8

Rani has two red-coloured ribbon rolls, one of length 3 m 75 cm and another 2 m 25 cm long. How much ribbon does she have?

Accepted Answer

So, Rani has 6 m long ribbon.

Source: This question is from Far and Near, Mathematics &mdash; Class 5, CBSE Board.
Key Concepts CoveredThis question tests your understanding of the following concepts from the chapter Far and Near: Rani, Red, Coloured, Ribbon, Rolls, Length. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 5 curriculum.A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.
How to Approach This QuestionRead the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.
Key Points to RememberAlways show your working steps clearly.
Verify your answer by substituting values back into the equation.
Practice similar problems from the textbook exercises.
Memorise important formulae and their conditions of applicability.
Related Questions from Far and NearQ1: Ritika is comparing the lengths of different rods. Compare them using signs. (a) 456 cm ____ 5 m
Q10: Gulmarg Gondola in Gulmarg, Kashmir is the second longest and second highest cable car in the...
Q11: Circle the bigger length and find the difference. (a) 11 mm and 1 cm Difference— ________________...
Q12: We need a 1 m 80 cm cloth to make a shirt for a 10-year old child. How much cloth will be needed to...
Q14: Anita is making an embroidery on the border of a sari. She needs aim long thread to embroider a 50...
Practice more questions from Far and Near &mdash; Mathematics, Class 5 CBSE

Question 9

The distance from Bhopal to Sanchi is 48 km 700 m. Bhadbhada Ghat waterfall is on the way, and 17 km 900 m away from Bhopal. How far is Sanchi from the waterfall?

Accepted Answer

Distance between Bhopal to Sanchi = 48 km 700 mDistance between Bhopal to Bhadbhada Ghat waterfall = 17 km 900 m.So, distance between Sanchi and waterfall = 48 km 700 m= 30 km 800 m

Question 10

Gulmarg Gondola in Gulmarg, Kashmir is the second longest and second highest cable car in the world. It is divided into two sections. The first section covers 2 km 300 m and the second section covers 2 km 650 m. What is the total distance covered by the cable car?

Accepted Answer

Distance covered by cable car in first section 2 km 300 m.And distance covered by cable car in second section = 2 m 650 mTotal distance covered by the cable car in these two sections = 2 km 300 m + 2 km 650 m= 4 km 950 m

Question 11

Circle the bigger length and find the difference.
(a) 11 mm and 1 cm Difference— ________________
(b) 26 mm and 2 cm Difference— ________________
(c) 20 cm and 201 mm Difference— ________________
(d) 1,020 mm and 1m Difference— ________________
(e) 2 m and 245 cm Difference— ________________
(f) 5,678 m and 6 km Difference— ________________
(g) 6 km 1,480m and 7 km 479m Difference— ________________

Accepted Answer

(a) 1 cm = 1 × 10 mm = 10 mm 11 mm > 10 mm So, 11 mm > 1 cmDifference = 11 mm – 10 mm = 1 mm(b) 2 cm = 20 mm 26 mm > 20 mm Difference – 26 mm – 2 cm= 26 mm – 20 mm = 6 mm(c) 20 cm = 200 mm 200 mm Difference = 201 mm – 200 mm = 1 mm(d) 1 m = 100 cm = 1000 mm 1020 mm > 1000 mmDifference = 1020 mm -1000 mm = 20 mm(e) 2 m = 200 cm200 cm So, 2 m Difference = 245 cm – 200 cm = 45 cm(f) 6 km = 6 × 1000 m = 6000 m5678 m Difference = 6000 m 5678 m = 322 m(g) 6 km 1480 m = 6000 m + 1480 m= 7480 m 7 km 479 m= 7000 m + 479 m= 7479 mSo,7480 m > 7479 mSo, 6 km 1480 > 7 km 479 mSo, difference = 7480 m – 7479 m = 1 mNCERT Textbook Pages 66-67Multiplying and Dividing Lengths

Question 12

We need a 1 m 80 cm cloth to make a shirt for a 10-year old child. How much cloth will be needed to make shirts for 20 such children?

Accepted Answer

20 × 1 m 80 cm = 20 × 1 m and 20 × 80 cm= 20 m + 1600 cm (Break the quantity into m and cm and multiply. You can also convert it into cm and multiply= 20 m + 16 m= 36 m.Multiplying and Dividing Lengths

Question 13

Anita is making an embroidery on the border of a sari. She needs aim long thread to embroider a 50 cm sari. How much thread would she need for a 5 m sari border?
A 1 m long thread costs ?50. How much money will be needed to by the thread?

Accepted Answer

Length of Sari = 5 m = 500 cmLength of Sari that require 1 m thread = 50 cmNumber of 50 cm in 500 cm = 500 + 50 = 10So, Anita need 10 m of thread.Cost of 1 m thread = ₹ 50So, cost of 10 m thread = ₹ 50 × 10 = ₹ 500Thus, Anita needs 10 meters of thread and the cost will be ₹ 500.

Question 14

A road 12 km 600 m long is being laid in a town. The workers lay an equal length of road each day, and complete the work in 6 days. How much road-laying work is done on each day?

Accepted Answer

Total length of road = 12 km 600 m= 12,600 mTotal number of days to complete the work= 6 daysSo, the workers lay 12,600 m ÷ 6 = 2,100 m or 2 km 100 m of road each day.NCERT Textbook Page 68Let Us EstimateEstimate the following. Share your reasoning in class.1. The height of the tallest building in your neighbourhood. What did you use as a reference to estimate the height?2. The height of the tallest tree in your neighbourhood. What did you use as a reference?3. The depth of a well or swimming pool in your neighbourhood. How did you find out?Solution:Do it yourself.Let Us ExploreIn daily life, we use other units of measuring length as well. Height is usually measured in feet and inches. Look at your ruler to see if inches are also marked on it. Find out how many cm and mm equal 1 inch.1 inch = 2 cm 5 mm1 foot = 12 inches or 30 cm.Solution:Do it yourself.NCERT Textbook Page 69Measure Your HeightStand against a wall and mark your height. Measure the distance between the floor and the marked point in feet and inches. Similarly, other students in the class can also measure their heights.Find out who is the tallest student in your class. What is his or her height in feet and inches?Solution:Do it yourself.