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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 2 Chapter 2 Measurements Ex 2.3

Miscellaneous Practice Problems

Question 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?

Solution:

Question 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?

Solution:

5 km = 5000 m = 500,000 cm

2 m 50 cm = 250 cm

Number of samplings = \(\frac{500,000}{250}\) = 2000

Remaining sampling = 560

Question 3.

Put ✓ 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.

1st + 7 = 8th Wednesday

8th + 7 = 15th Wednesday

15th + 7 = 22nd Wednesday

22nd + 7 = 29th Wednesday

Jan = 30th 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) A → B → C → D → E

(ii) A → G → F → K → E

(iii) A → H → I → J → E

Distance

(i) AB + BC + CD + DE = 2 cm + 2.5 cm + 2.5 cm + 2 cm = 9 cm

(ii) AG + GF + FK + KE = (2.6 + 1.7 + 1.8 + 3) cm = 9.1 cm

(iii) AH + HI + IJ + JE = 3 cm + 2.3 cm + 1 cm + 3.2 cm = 9.5 cm.

1st-way ABCDE is the shortest one.

Question 7.

A room has a door whose measures are 1 m wide and 2 m 50 cm high.

Can we make a bed of 2 m and 20 cm in length and 90 cm wide into the room?

Solution:

Door:

Width (breadth) = 1 m = 100 cm

height (length) = 2 m 50 cm = 250 cm

Area of the door = l × b sq. units

= 250 × 100 cm²

= 25000 cm²

Bed:

length = 2 m 20 cm = 220 cm

width (breadth) = 90 cm

Area of the bed = l × b sq.units

= 220 × 90 cm²

= 19800 cm²

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:

Closing time of the post office 5.45 p.m. = (5 + 12) : 45 hour = 17 : 45 hours.

Starting time of the post office = 10 a.m. = 10 : 00 hours.

For a day total working hour without break = 17 : 45 hour – 10 : 00 hours = 07 : 45 hour

Lunch break = 01 : 00 hour

Duration of Working hours = 6:45 hours

For 6 days working hours = 6:45 hour × 6

= (6 hours 45 minutes) × 6

= 36 hours 270 minutes

= 36 hours + (4 × 60 + 30) minutes

= 36 hours + (4 hours + 30 minutes)

= 40 hours + 30 minutes.

The total duration of working hours in 6 days = 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 a.m.

∴ 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 2nd and 3rd 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 a.m. = 09:30 hours

Duration of every dose in 1st day = 6 hours

Duration of every dose in 2nd and 3rd day = 8 hours

Time Chart.