Far and Near Class 5 Worksheet with Answers Maths Chapter 5

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Class 5 Maths Chapter 5 Far and Near Worksheet with Answers Pdf

Far and Near Class 5 Maths Worksheet

Class 5 Maths Chapter 5 Worksheet with Answers – Class 5 Far and Near Worksheet

Roshni had just returned from Mumbai after completing a course in tailoring and clothes designing. Her village was buzzing with preparations for the grand Diwali Mela. When people heard that Roshni could stitch beautiful clothes and decorative fabrics, the village committee decided to give her and her friends the contract for all cloth work — stall curtains, colourful tent panels, flags, runnersfor tables, and even new clothes for the dance troupe.

Question 1.
Identify the appropriate units (m or cm) for measuring each of the following.

Quantity	Unit of measurement (m or cm)
Height of a flag pole	15
Length of a table	150
Width of a curtain	2
Height of a tent	5
Length of a shirt	40
Length of a zip used in a pant	16

Different Units but Same Measure
The Diwali mela preparations were in full swing. Roshni’s team had to stitch curtains for stalls, sew dresses for the cultural show, and decorate the village memorial with colourful fabric. Tara, Roshni, and a new helper, Aarav, were busy measuring everything.

Question 2.
Tara measured a stall opening. It is 3 metres 40 centimetres wide. Express it in centimetres.
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Question 3.
Aarav measured a Little girl’s dress jor the dance competition Tit is 108 cm jrom shoulder to hem. Express it in metres and centimetres.
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Question 4.
Match the following measures which represents the same length of cloth.

(a) 360 cm	(i) 5 m 97 cm
(b) 415 cm	(ii) 9 m 75 cm
(c) 975 cm	(iii) 6 m 40 cm
(d) 640 cm	(iv) 4 m 15 cm
(e) 597 cm	(v) 3 m 60 cm

Comparing and Ordering Measurements
The Diwali mela was just a week away, and the main gate, stalls, and memorial area were still waiting for their decorations.
Early in the morning, three volunteers met at the community hall where Roshni’s uncle handed them a crumpled sheet of paper.
Uncle: “These are the measurements we took yesterday. Before we start cutting or stitching anything, we need to arrange them properly. It will save time and cloth.”

Question 5.
They have to stitch 3 banners for the main gate, one is 4 m 25 cm, the second is 420 cm, and the third is 4 m 2 cm. Can you arrange them from shortest to longest?
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Question 6.
Tara walked to the cloth comer and found four colourful rolls. These rolls are mixed up. Roll A is 2 m 80 cm, Roll B is 310 cm, Roll C is 1 m 95 cm, and Roll D is 225 cm. Arrange them in descending order so the longer ones get used first.
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Question 7.
At the mela, there were several food stalls of different sizes as recorded below.

• Samosa stall: 4 m 20 cm
• Jalebi stall: 405 cm
• Chaat stall: 3 m 95 cm
• Pakora stall: 410 cm
• Biryani stall: 4 m 5 cm

Compare arid Jill in the blanks with <, >, or =.
(a) 4 m 20 cm __________ 405 cm
(b) 3 m 95 cm __________ 391 cm + 5 cm
(c) 4 m 5 cm __________ 405 cm
(d) 3 m 95 cm __________ 4 m 20 cm
(e) 410 cm __________ 4 m 5 cm

Think and Answer
If you double the length of a 2 m 45 cm banner, will it be the same as a single banner of 5 m?
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Measuring Long Distances
Long distances are measured in kilometres.
The Diwali mela excitement had spread far beyond the village ‘Rampur’. The Pradhan (Mukhiya) of the village invited some Pradhans of neighbouring villages.

Question 8.
Lalit, a messenger, took out his notebook and wrote down the distances of each village from his village:

• Lakshmipur: 3 km 450 m
• Shantipur: 5 km 850 m
• Rajnagar: 4,750 m
• Gopalganj: 2 km 925 m
• Vijaypur: 6,050 m

Lallt noticed that these distances are all in mixed units. How would ke know which village was the farthest or nearest? Can you help him?
(a) Write all the distances in metres so it’s easier to compare.
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(b) Arrange the villages in ascending order of distance from the Rampur.
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(c) How much farther is Shantipur than Gopalganj?
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(d) How far will the messenger travel in all to go to Gopalganj and Vijaypur? Give the answer in km and m.
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(e) Roshni noticed that Shatipur’s distance is exactly double the distance of one of the villages. Which one is it?
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Thin and Answer
You are given a few pieces of rope of 100 m each. How many pieces of ropes will you put end to end so that it makes 1 km long?
1 km = 100 m + 100 m + …

The World of Small Things
The big decorations were almost done, but now it was time for the tiny details that would make the Diwali mela shine. Volunteers are decorating with colourful ribbons, tiny flags, and beaded garlands.

Tara says, “These are so small — we cannot measure them mm in metres. We will have to use centimetres and millimetres for accuracy.”
“Remember, 1 cm = 10 mm.”

Question 9.
Aarav picked up a small flag and measured its stick. It’s 12 cm 5 mm. How long would that be in millimetres? Draw a line segment equal to this length using a scale.
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Question 10.
Tara was making paper diya cut-outs. This diya’s width is 105 mm. Can you tell how much is it in cm and mm?

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Question 11.
Alok brought a decorative item as shown alongside. Measure the lines in the design and write the longest and the shortest length in cm and mm.

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Relations between Different Units

• 10 mm = 1 cm
• 100 cm = 1 m
• 1000 m = 1 km

Question 12.
Fill in the blanks appropriately in the double number line.

Question 13.
Roshni opened a small box full of decorative ribbons for-the’ archway.
Convert all tke lengths into millimetres:

• Ribbon A: 14 cm 3 mm = __________ mm
• Ribbon B: 1 7 cm 9 mm __________ mm
• Ribbon C: 9 cm 5 mm = __________ mm
• Ribbon D: 1 m 25 cm = __________ mm
• Ribbon E: 2 m 7 cm = __________ mm

Question 14.
Fill in the blanks.
(a) 406 cm = __________ m __________ cm
(b) 1505 cm = __________ m __________ cm
(c) 6500 m = __________ km __________ m
(d) 10000 m = __________ km
(e) 7500 mm = __________ m __________ cm
(f) 4 km 65 m = __________ m

Think and Answer
If we already know lengths in millimetres, do we need to change them to cm for comparing? Or is it quicker to keep them in mm? What do you think?

Adding and Subtracting Lengths

Question 15.
The Thiruvananthapuram-Silchar Aronai Superfast Express (12507/12508) is the second-longest train journey in India. This train travels from Thiruvananthapuram Central in Kerala to Silchar in Assam, taking approximately 74 hours. It is a weekly train and stops at 56 stations across 11 states. Look at the stations on the route shown in the table below and answer the questions.

S.No	Station Name & Code	Distance
1	Thiruvananthapuram Central – TVC	0 km
12	Coimbatore Jn – CBE	423 km
21	Vijayawada Jn – BZA	1344 km
23	Visakhapatnam Jn – VSKP	1693 km
30	Bhubaneswar – BBS	2138 km
35	Kharagpur Jn – KGP	2460 km
42	New Jalpaiguri Jn – NJP	3129 km
51	Guwahati – GHY	3537 km
57	Silchar – SCL	3916 km

(a) The total length of the route from Thiruvananthapuramla to Silchar is __________ km
(b) The distance between Vijayawada and New Jalpaiguri road is __________.
(c) Distance between Bhubaneswar and Visakhapatnam is __________.
(d) Which two stations are farther apart — Guwahati and Kharagpur or Bhubaneswar and New Jalpaiguri?
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(e) What is the distance between Silchar and Coimbatore Jn?
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Question 16.
Find the sum and difference of the following lengths:

Lengths	Sum	Difference
(a) 12 mm and 1 cm
(b) 36 mm and 2 cm
(c) 40 cm and 301 mm
(d) 1,020 cm and 2 m
(e) 4 m and 245 cm
(f) 6,785 m and 7 km
(g) 5 km 1,480 m and 6 km 479 m

Multiplying and Dividing Lengths

Question 17.
The pace of National Highways (NH) construction in India was 29 kilometres per day in the last year. Using this information, fill in the missing data on the two number line.

Question 18.
A tailor uses 1 m 60 cm of cloth to stitch a shirt for a 5th grade child. How much cloth will be needed to make shirts for 30 children in a class?
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Question 19.
A shop sells fencing rope at ₹ 200 for 10 m.
(a) How much money is needed to buy a 1 m rope?
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(b) How much money does a gardener need to fence a garden that is 15 m long and 10 m wide?
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Question 20.
On the occasion of National Unity Day, the village school is going to organise a 4 km race. Seema and Jay are helping them with the arrangements for the race.

(a) 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?
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(b) Children need to stand at an interval of 200 m to direct the runners. How many children are needed? At what positions from the starting point will the children be standing?
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(c) 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?
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Real-Life Problems Involving Four Operations of Lengths
The Diwali mela decorations had become the talk of the village. By evening, Roshni’s team were surrounded by villagers eager to place last-minute orders for home decorations, curtains, dresses, and stage setups.

Question 21.
Mrs. Sharma was the first to arrive, carrying two long pieces of soft fabric. One is 7 m 85 cm and the other is 6 m 40 cm long. If you stitch them together, will it be more than 15 m?
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Question 22.
Next came Mr. Iqbal, with a roll of bright red cloth. This roll is 15 m 50 cm long, but he only needs 12 m 75 cm for the entrance decoration. How much cloth will be left over for another use?
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Question 23.
Tara was noting orders for the community hall. They need 9 curtain panels for the dining area, each 1 m 80 cm long. How much fabric will they need in total?
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Question 24.
Roshni needs to make a curtain that is 579 cm long. She has two pieces — one 2 m 45 cm and another 1 m 85 cm. Will these be enough? If yes, how much extra will be left? If not, how much more does she need?
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Question 25.
For the cultural dance, Roshni stitched two long sashes. One is 3 m 45 cm and the other is 2 m 75 cm. If she joins them and cuts the total into 5 equal sashes for the dancers, how long will each sash be?
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Question 26.
A family asked Nisha to decorate their courtyard. The tetal perimeter is 48 m. Each fairy light string is 3 m 20 cm long. How many full strings will she need, and how much will be left from the last one?
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Question 27.
A group of children need 6 flags on sticks, one pole of 10 m 50 cm, will there be any leftover after making all the sticks?
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Feet and Inches
After finishing most of the cloth orders, the team moved on to taking measurements for the dancers’ costumes. The village tailor had brought a measuring tape marked in feet and inches.

Question 28.
The tailor measured Roshni’s height for her costume as 5 ft 2 in. Convert her height into inches. Also, convert it into centimetres if 1 inch = 2 cm 5 mm and 1 foot = 1 2 inches.
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Question 29.
Tara’s younger cousin needed a kurta. His shoulder-to-ankle length was 4 ft 8 in. How many inches is that? And what is it in cm?
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Question 30.
For the group dance, the tailor measured the length of a cloth Jor creating a ready-to-wear saree Jor Tara as 6 ft 4 In.
(a) Convert the length into inches.
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(b) Convert it into centimetres using 1 inch = 2 cm 5 mm.
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Activity
To measure and compare lengths in feet and inches
Instructions: You will measure the height of different objects around the classroom using a measuring tape marked in feet and inches.

Objects to Measure:

1. Classroom door
2. Teacher’s desk
3. Whiteboard/blackboard
4. Notice board
5.  Bookshelf

Steps:

• First, estimate the height of each object in feet and inches.
• Then, measure each object and record the actual height.
• Compare your estimates with the actual measurements and note the difference.
• Convert the heights of two objects into centimetres.
• Arrange all the objects from shortest to tallest.

Extension:

• Find the difference in height between the tallest and the shortest object.
• Measure one object’s width and compare it to its height — which is greater?