Class 5 Maths worksheet lesson 5

Mathematics Worksheet: Far and Near

This worksheet covers measurement and distances aligned with NCERT syllabus for Foundation and Preparatory stages. Try each question before you check answers and solutions.

Competency 1: Knowledge and Understanding

• Which unit should you use to measure the length of a handkerchief: meter or centimeter?
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  Answer: Centimeter

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  Solution: A handkerchief is small, so centimeters are appropriate for precise measurement.
• Identify whether 100 cm equals 1 meter or 10 meters.
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  Answer: 1 meter

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  Solution: 100 centimeters equals 1 meter as per the metric system.
• Compare 456 cm and 5 m; which is greater?
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  Answer: 5 meters is greater

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  Solution: 5 m = 500 cm, which is greater than 456 cm.
• How many centimeters are in 2 meters and 40 centimeters?
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  Answer: 240 centimeters

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  Solution: 2 m = 200 cm, plus 40 cm, total 240 cm.
• The Statue of Unity is 182 meters tall and the Statue of Liberty is 93 meters tall. What is the difference in their heights?
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  Answer: 89 meters

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  Solution: 182 m - 93 m = 89 meters difference.
• Which two statues have the closest heights: Guanyin of Nanshan (108 m) and Statue of Liberty (93 m) or Spring Temple Buddha (128 m) and Guanyin of Nanshan?
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  Answer: Guanyin of Nanshan and Statue of Liberty

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  Solution: Difference 108 - 93 = 15 m; other pair difference is 128 - 108 = 20 m.

Competency 2: Computational Skills

• Convert 1 meter 80 centimeters into centimeters.
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  Answer: 180 centimeters

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  Solution: 1 meter = 100 cm; total = 100 + 80 = 180 cm.
• Find the total length if Rani has two ribbon rolls of 3 m 75 cm and 2 m 25 cm.
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  Answer: 6 meters

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  Solution: 3 m 75 cm + 2 m 25 cm = 6 m (add meters and centimeters separately).
• If a road is 12 km 600 m long and laid evenly over 6 days, how much is laid each day?
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  Answer: 2 km 100 m per day

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  Solution: Convert 12 km 600 m to meters = 12,600 m; divide by 6 = 2,100 m = 2 km 100 m per day.
• A shop sells 5 meters of cloth for 100 rupees. How much for 1 meter?
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  Answer: 20 rupees

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  Solution: Divide 100 by 5 to get price per meter = 20 rupees.
• How many water stations should be placed if a 3 km race has stations every 500 m?
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  Answer: 6 stations

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  Solution: 3 km = 3000 m; 3000 / 500 = 6 stations.
• How many flags (red and blue alternately) are needed along a 3 km track if flags are placed every 50 m?
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  Answer: 60 flags (30 red, 30 blue)

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  Solution: 3 km = 3000 m; 3000 / 50 = 60; red and blue alternate, so half are each color.

Competency 3: Problem Solving

• Saji walked 3 km 450 m in morning and 4 km 650 m in evening. How far did he walk in total?
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  Answer: 8 km 100 m

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  Solution: Add meters (450 + 650 = 1100 m = 1 km 100 m); add kilometers (3 + 4 + 1 = 8 km); total 8 km 100 m.
• Electricians used 16 m 75 cm cable from 63 m required. How much cable is left?
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  Answer: 46 m 25 cm

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  Solution: Convert to centimeters: 63 m = 6300 cm, 16 m 75 cm = 1675 cm, Subtract: 6300 - 1675 = 4625 cm = 46 m 25 cm.
• The distance between Bhopal to Sanchi is 48 km 700 m, and waterfall is 17 km 900 m from Bhopal. How far is Sanchi from waterfall?
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  Answer: 30 km 800 m

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  Solution: 48 km 700 m - 17 km 900 m = 30 km 800 m.
• Gulmarg Gondola covers 2 km 300 m and 2 km 650 m in two sections. What is the total distance?
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  Answer: 4 km 950 m

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  Solution: Add 2 km 300 m + 2 km 650 m = 4 km 950 m.