CBSE Class 5 Mathematics Far and Near Worksheet Set 01

True or False

Question. The height of India Gate is calculated in centimetres.
Answer: False
Explanation: India Gate is very tall, so its height is measured in metres, not centimetres.

Question. 1 kilometre is identical to 1,000 metres.
Answer: True
Explanation: The word 'kilo' means one thousand, so 1 kilometre has exactly 1,000 metres.

Question. 1 metre consists of 10 centimetres.
Answer: False
Explanation: 1 metre is made up of 100 centimetres, not 10 centimetres.

Question. 1 foot comprises 12 inches.
Answer: True
Explanation: A standard 12-inch school ruler is equal to exactly 1 foot.

Question. 1 centimetre is equivalent to 10 millimetres.
Answer: True
Explanation: The small marks between each centimetre on a ruler show 10 tiny millimetres.

Fill in the Blanks

Question. 6 m 34 cm equals ______ cm
Answer: 634 cm
Explanation: 6 metres is 600 cm. Adding 34 cm gives 600 + 34 = 634 cm.

Question. The entire length of the route from Dibrugarh to Kanniyakumari is ______ km.
Answer: 4,187 km
Explanation: The final destination Kanniyakumari is 4,187 km away from Dibrugarh.

Question. 5,792 cm equals ______ m ______ cm
Answer: 57 m 92 cm
Explanation: Every 100 cm makes 1 metre. 5,700 cm makes 57 metres, leaving 92 cm.

Question. Convert: 4 cm 5 mm equals ______ mm
Answer: 45 mm
Explanation: 4 cm is equal to 40 mm. Add 5 mm to get 40 + 5 = 45 mm.

Question. 34 km equals ______ m
Answer: 34,000 m
Explanation: Multiply 34 by 1,000 because 1 km contains 1,000 metres.

Question. Span between Vijayawada and Visakhapatnam is ______ km.
Answer: 350 km
Explanation: Subtract the two distances from the table: 2,800 km – 2,450 km = 350 km.

Question. 89 mm equals ______ cm ______ mm
Answer: 8 cm 9 mm
Explanation: 80 mm equals 8 cm, with 9 mm left over.

Question. 6,870 m equals ______ km ______ m
Answer: 6 km 870 m
Explanation: 6,000 metres make 6 kilometres, and 870 metres remain.

Question. 1 foot is identical to ______ inches.
Answer: 12
Explanation: A foot is made up of 12 equal inches.

Question. 29 km 30 m equals ______ m
Answer: 29,030 m
Explanation: 29 km is 29,000 m. Adding 30 m gives 29,030 m.

Match the Following

Question. Determine the appropriate units for measuring each of the following.

Explanation: Big and tall objects like monuments and wells are measured in metres, while small everyday items are measured in centimetres.

Question. Identify which measures represent the same sari or stole.

Explanation: Since 1 metre equals 100 centimetres, convert metres into hundreds of centimetres to find matching lengths.

Question. Number of cords needed to make 1 km.

Explanation: 1 kilometre is equal to 1,000 metres. Divide 1,000 by the length of one rope to find how many ropes you need.

Question. Observe the stations on the route shown in the table below and answer the questions.

Explanation: This table records how far each train station is from the starting city of Dibrugarh along India's longest train route.

Questions / Short Question Answers

Question. A store sells cloth for making bags at ₹ 100 for 5 m. How much money is needed to buy a 1 m cloth?
Answer: ₹ 20
Explanation: Divide the total price by 5 metres: ₹ 100 ÷ 5 = ₹ 20 per metre.

Question. What is the gap between the height of the tallest statue in the world (182 m) and the Statue of Liberty (93 m)?
Answer: 89 m
Explanation: Subtract the height of the Statue of Liberty from the Statue of Unity: 182 m – 93 m = 89 m.

Question. Rani has two scarlet ribbon rolls, one of length 3 m 75 cm and another 2 m 25 cm long. How much ribbon does she have?
Answer: 6 m
Explanation: Add the metres and centimetres: 3 m + 2 m = 5 m, and 75 cm + 25 cm = 100 cm (which is 1 m). 5 m + 1 m = 6 m.

Question. We need a 1 m 80 cm cloth to make a shirt for a 10-year old child. How much fabric will be needed to make shirts for 20 such children?
Answer: 36 m
Explanation: Multiply 1 m 80 cm (180 cm) by 20: 180 cm × 20 = 3,600 cm, which equals 36 metres.

Question. 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 distant is Sanchi from the waterfall?
Answer: 30 km 800 m
Explanation: Subtract 17 km 900 m from 48 km 700 m by borrowing 1 km (1,000 m) to get 30 km 800 m.

Question. Gulmarg Gondola in Gulmarg, Kashmir 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 entire distance covered by the cable car?
Answer: 4 km 950 m
Explanation: Add the lengths of both sections: 2 km 300 m + 2 km 650 m = 4 km 950 m.

Question. Water posts are to be arranged after every 500 m. How many water stations must be set up along a 3-km race?
Answer: 6 water stations
Explanation: 3 km is 3,000 m. Divide 3,000 m by 500 m: 3,000 ÷ 500 = 6 stations.

Question. Circle the larger length and find the difference between 2 m and 245 cm.
Answer: 245 cm is larger; Difference = 45 cm
Explanation: 2 m equals 200 cm. 245 cm is bigger than 200 cm by 45 cm.

Question. Anita is making an embroidery on the border of a sari. She needs a 1 m long thread to embroider a 50 cm sari. How much thread would she require for a 5 m sari border, and what will it cost at ₹ 50 per metre?
Answer: 10 m of thread; Total cost = ₹ 500
Explanation: A 5 m sari is 500 cm. There are ten 50 cm pieces in 500 cm, so she needs 10 m of thread. 10 × ₹ 50 = ₹ 500.

Question. Pupils need to stand at an interval of 300 m to direct the runners in a 3-km race. How many children are needed?
Answer: 10 children
Explanation: 3 km is 3,000 m. Divide 3,000 m by 300 m: 3,000 ÷ 300 = 10 children.

Question. The height of which statue will match the height of the Statue of Unity (182 m), if it is doubled?
Answer: The Motherland Calls (91 m)
Explanation: Half of 182 m is 91 m. Doubling 91 m (91 × 2) gives 182 m.

Question. Red and blue banners are to be placed alternately at every 50 m in a 3-km race. How many red and blue flags are needed till the finish line?
Answer: 60 flags in total (30 red flags and 30 blue flags)
Explanation: 3,000 m divided by 50 m gives 60 flags. Since they alternate equally, half are red (30) and half are blue (30).

Question. A road 12 km 600 m long is being laid in a town. The workers lay an equal length of road each day, and finish the work in 6 days. How much road-laying work is done on each day?
Answer: 2 km 100 m
Explanation: 12 km 600 m is 12,600 m. Divide 12,600 by 6 to get 2,100 m, which is 2 km 100 m per day.

Question. Identify the statues whose heights have the smallest difference.
Answer: Statue of Liberty (93 m) and The Motherland Calls (91 m)
Explanation: The difference between 93 m and 91 m is only 2 metres, which is the smallest gap among the statues.

Question. Contrast the lengths of rods: 456 cm and 5 m.
Answer: 456 cm < 5 m
Explanation: 5 metres equals 500 centimetres, and 456 cm is smaller than 500 cm.

Question. Which pair of stations is farther apart—Guwahati and Dimapur (250 km) or Bhubaneswar and Jalpaiguri Road (1,024 km)?
Answer: Bhubaneswar and Jalpaiguri Road
Explanation: 1,024 km is a much greater distance than 250 km.