Exercise 2.3 - Chapter 2 Measurements Term 2 6th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Miscellaneous Practice Problems
Question $1 .$
Two pipes whose lengths are $7 \mathrm{~m} 25 \mathrm{~cm}$ and $8 \mathrm{~m} 13 \mathrm{~cm}$ joined by welding and then a small piece 60 $\mathrm{cm}$ is cut from the whole. What is the remaining length of the pipe?
Solution:

Question 2 .
The saplings are planted at a distance of $2 \mathrm{~m} 50 \mathrm{~cm}$ in the road of length $5 \mathrm{~km}$ by saravanan. If he has 2560 saplings, how many saplings will be planted by him? how many saplings are left?
Solution:
Distance between two saplings $=2 \mathrm{~m} 50 \mathrm{~cm}=250 \mathrm{~cm}$
Total length of the road $=5000 \mathrm{~m}=500000 \mathrm{~cm}$

Question $3 .$
Put $\checkmark$ a mark in the circles which adds up to the given measure.

Solution:

Question $4 .$
Make a calendar for the month of February 2020 (Hint: January 1st 2020 is Wednesday)
Solution:
Given Jan 1st 2020 is Wednesday.
$1 \mathrm{st}+7=8$ th Wednesday
8 th $+7=15$ th Wednesday
15 th $+7=22$ nd Wednesday
$22 \mathrm{nd}+7=29$ th Wednesday
Jan $=30$ th Thursday
Jan 31st Friday
Feb 1st Saturday
February has 29 days as 2020 is a leap year.

Question 5.

Observe and Collect the data for a minute

Solution:

Challenge Problems
Question $6 .$
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 the length of the line segments)

Solution:
The squirrel is in $A$ and the grains are at $E$

The ways are (i) $\mathrm{A} \rightarrow \mathrm{B} \rightarrow \mathrm{C} \rightarrow \mathrm{D} \rightarrow \mathrm{E}$
(ii) $\mathrm{A} \rightarrow \mathrm{G} \rightarrow \mathrm{F} \rightarrow \mathrm{K} \rightarrow \mathrm{E}$
(iii) $\mathrm{A} \rightarrow \mathrm{H} \rightarrow \mathrm{I} \rightarrow \mathrm{J} \rightarrow \mathrm{E}$
Distance
(i) $\mathrm{AB}+\mathrm{BC}+\mathrm{CD}+\mathrm{DE}=2 \mathrm{~cm}+2.5 \mathrm{~cm}+2.5 \mathrm{~cm}+2 \mathrm{~cm}=9 \mathrm{~cm}$
(ii) $\mathrm{AG}+\mathrm{GF}+\mathrm{FK}+\mathrm{KE}=(2.6+1.7+1.8+3) \mathrm{cm}=9.1 \mathrm{~cm}$
(iii) $\mathrm{AH}+\mathrm{HI}+\mathrm{IJ}+\mathrm{JE}=3 \mathrm{~cm}+2.3 \mathrm{~cm}+1 \mathrm{~cm}+3.2 \mathrm{~cm}=9.5 \mathrm{~cm}$.
lst way $\mathrm{ABCDE}$ is the shortest one.

Question $7 .$
A room has a door whose measures are $1 \mathrm{~m}$ wide and $2 \mathrm{~m} 50 \mathrm{~cm}$ high.
(i) Can we make a bed of $2 \mathrm{~m}$ and $20 \mathrm{~cm}$ length and $90 \mathrm{~cm}$ wide into the room?
Solution:
Measures of the door length $2 \mathrm{~m} 50 \mathrm{~cm}$ width and $1 \mathrm{~m}(100 \mathrm{~cm})$

(i) Measures of the bed $2 \mathrm{~m} 20 \mathrm{~cm}$ width and $90 \mathrm{~cm}$
Measures of the bed $<$ measures of the door
$\therefore$ Yes, we can take the bed into the room.

Question $8 .$
A post office functions from 10 a.m to $5.45$ pm 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.
Solution:
Working hours in a day $=6 \mathrm{hrs} 45 \mathrm{~min}$
$=(6 \times 60 \mathrm{~min})+45 \mathrm{~min}$
$=(360+45) \mathrm{min}$
$=405 \mathrm{~min}$
Total duration of working hours in a week
$=6 \times 405 \mathrm{~min}$
$=2430 \mathrm{~min}$
$=\frac{2430}{60}$
$=\frac{810}{20}$
$=40 \frac{1}{2}$
$=40$ hours 30 minutes
 

Question $9 .$
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?
Solution:
Time of wake up $=5.20$ a.m $=5$ hour 20 minutes
Time spends $=35$ minutes
Then the time $=5$ hour 55 minutes
Travelling time to reach railway station $=15$ minutes
Now the time will be $=5$ hours 70 minutes
$=5$ hours $(60+10)$ minutes
$=5$ hours $+(1$ hour 10 minutes $)$
$=6$ hours 10 minutes
$=6.10$ a.m.
The departure time of the train to get ready $=6.0 \mathrm{a} . \mathrm{m}$.
$\therefore$ She will not be able to catch the train.

Question $10 .$
A doctor advised Vairavan to take one tablet every 6 hours once in the 1st day and once every 8 hours on the 2 nd and 3 rd day. If he starts to take $9.30$ a.m first dose. Prepare a time chart to take the tablet in railway time.
Solution:
The first dose is taken at $9.30 \mathrm{a} . \mathrm{m} .=09: 30$ hours
Duration of every dose in 1 st day $=6$ hours
Duration of every dose in 2 nd and 3 rd day $=8$ hours
Time Chart.