Exercise 2.3 - Measurements
Miscellaneous Practice Problems
1. Two pipes whose lengths are 7 m 25 cm and 8 m 13 cm joined by welding and then a small piece 60 cm is cut from the whole. What is the remaining length of the pipe?
Length of the remaining pipe = 14 m 78 cm
2. The saplings are planted at a distance of 2 m 50 cm in the road of length 5 km by saravanan. If he has 2560 saplings, how many saplings will be planted by him? how many saplings are left?
Length of the road = 5 km = 500000 cm
Distance between each sapling = 2 m 50 cm = 250 cm
Number of saplings planted = 500000 ÷ 250 = 2000
Number of saplings Saravanan has = 2560
Number of saplings planted = 2000
Number of saplings left = 560
Distance between each sapling = 2 m 50 cm = 250 cm
Number of saplings planted = 500000 ÷ 250 = 2000
Number of saplings Saravanan has = 2560
Number of saplings planted = 2000
Number of saplings left = 560
3. Put ✔ mark in the circles which adds upto the given measure.
4. Make a calendar for the month of February 2020. (Hint: January 1st 2020 is Wednesday)
January First Wednesday
31st Friday
2020 is leap year.
February 2020
31st Friday
2020 is leap year.
February 2020
5. Observe and Collect the data for a minute:
i. Number of times a person breathes: 45
ii. Number of times heart beats: 72
iii. Number of times the eyes blink: 54
iv. Distance by walking: 50 m
v. Distance by running: 200m
vi. Number of situps: 25
vii. Number of claps: 137
viii. Number of lines to write: 4
ix. Number of lines to read: 7
x. Number of Tamil verbs to say: 23
Challenge Problems
6. A squirrel wants to eat the grains quickly. Help the Squirrel to find the shortest way to reach the grains. ( Use your scale to measure length of the line segments)
AB + BC + CD + DE = (1.7 + 2.2 + 2 + 1.7) cm = 7.6 cm
AG + GF + FE = (2.2 + 1.5 + 1.5 + 2.3) cm = 7.5 cm
AH + HI + IJ + JE = (2.5 + 2 + 0.7 + 2.7) cm = 7.9 cm
The shortest way to reach the grains is the way from A through G, F and reach E.
AG + GF + FE = (2.2 + 1.5 + 1.5 + 2.3) cm = 7.5 cm
AH + HI + IJ + JE = (2.5 + 2 + 0.7 + 2.7) cm = 7.9 cm
The shortest way to reach the grains is the way from A through G, F and reach E.
7. A room has a door whose measures are 1 m wide and 2 m 50 cm high. i. Can we take a bed of 2 m and 20 cm length and 90 cm wide into the room.?
Yes. We can take the bed into the room. Because the length and wide of the bed is smaller than the wide and height of the door.
8. A post office functions from 10 a.m to 5.45 p.m with a lunch break of 1 hour. If the post office works for 6 days a week, find the total duration of working hours in a week.
Working hours in 1 day = 6.45 hrs
Working hours in 6 days = 6.45 × 6
= 36 hrs 270 mts.
= 36 hrs + 4 hrs 30 minutes
= 40 hrs 30 minutes
Total duration of working hours in a week = 40 hours 30 minutes.
Working hours in 6 days = 6.45 × 6
= 36 hrs 270 mts.
= 36 hrs + 4 hrs 30 minutes
= 40 hrs 30 minutes
Total duration of working hours in a week = 40 hours 30 minutes.
9. Seetha wakes up at 5.20 a.m. She spends 35 minutes to get ready and travels 15 minutes to reach the railway station. If the train departs exactly at 6:00 a.m, will Seetha catch the train?
Seetha wakes up at 5.20 am = 5 hours 20 minutes
Time taken to get ready = 35 minutes
Traveling Time = 15 minutes
The time she reached the railway station = 5 hours 70 minutes
= 5hrs + (60 +10) minutes = 6 hours 10 minutes
The train departure time = 6 hours
So, Seetha will not catch the train
Time taken to get ready = 35 minutes
Traveling Time = 15 minutes
The time she reached the railway station = 5 hours 70 minutes
= 5hrs + (60 +10) minutes = 6 hours 10 minutes
The train departure time = 6 hours
So, Seetha will not catch the train
10. A doctor advised Vairavan to take one tablet every 6 hours once in the 1st day and once every 8 hours on the 2nd and 3rd day. If he starts to take 9.30 a.m first dose. Prepare a time chart to take tablet in railway time.
First day Vairavan took tablet at 9.30 a.m. = 9.30 hours