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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 2 Chapter 2 Measurements Ex 2.2

Question 1.

Say the time in two ways:

Solution:

(i) 10 : 15 hours, quarter past 10

(ii) 6 : 45 hours, quarter to 7

(iii) 4 : 10 hours, 10 minutes past 4

(iv) 3 : 30 hours, half past 3

(v) 9 : 40 hours, 20 minutes to 10

Question 2.

Match the following:

(i) 9.55 – (a) 20 minutes past 2

(ii) 11.50 – (b) quarter past 4

(iii) 4.15 – (c) quarter to 8

(iv) 7.45 – (d) 5 minutes to 10

(v) 2.20 – (e) 10 minutes to 1?

Solution:

(i) 9.55 – (d) 5 minutes to 10

(ii) 11.50 – (e) 10 minutes to 12

(iii) 4.15 – (b) quarter past 4

(iv) 7.45 – (c) quarter to 8

(v) 2.20 – (a) 20 minutes past 2

Question 3.

Convert the following :

(i) 20 minutes into seconds

(ii) 5 hours 35 minutes 40 seconds into seconds

(iii) 3\(\frac { 1 }{ 2 }\) hours into minutes

(iv) 580 minutes into hours

(v) 25200 seconds into hours

Solution:

(i) 20 minutes into seconds

20 minutes = 20 × 60 seconds = 1200 seconds

(ii) 5 hours 35 minutes 40 seconds into seconds

∴ 5 hours 35 minutes 40 seconds = 20,140 seconds

(iii) 3\(\frac { 1 }{ 2 }\) hours into minutes

3\(\frac { 1 }{ 2 }\) hours = 3 hours 30 minutes

= 3 × 60 minutes + 30 minutes

= 180 minutes + 30 minutes

= 210 minutes

∴ 3\(\frac { 1 }{ 2 }\) hours = 210 minutes

(iv) 5580 minutes into hours

580 minutes = \(\frac{580}{60}\) hours = 9 hours 40 minutes

∴ 580 minutes = 9 hours 40 minutes

(v) 25200 seconds into hours

25200 seconds = \(\frac{25200}{60}\) minutes = 420 minutes = \(\frac{420}{60}\) hours = 7 hours

∴ 25200 seconds = 7 hours

Question 4.

The duration of electricity consumed by the farmer for his pump set on Monday and Tuesday was 7 hours 20 minutes 35 seconds and 3 hours 44 minutes 50 seconds respectively. Find the total duration of consumption of electricity.

Solution:

Electricity consumption on Monday = 7 hours + 20 minutes + 35 seconds

Electricity consumption on Tuesday = 3 hours + 44 minutes + 50 seconds

Total consumption = 10 hours + 64 minutes + 85 seconds

= 10 hours + (60 + 4) minutes + (60 + 25) seconds

= 1o hours + 1 hrs 4 minutes + 1 minutes 25 seconds

= 11 hours 5 minutes 25 seconds

∴ Total consumption of electricity = 11 hours 5 minutes 25 seconds

Question 5.

Subtract 10 hrs 20 min 35 sec from 12 hrs 18 min 40 sec.

Solution:

1 hour 58 minutes 05 seconds

Question 6.

Change the following into 12 hour format:

(i) 02 : 00 hours

(ii) 08 : 45 hours

(iii) 21 : 10 hours

(iv) 11 : 20 hours

(v) 00 : 00 hours

Solution:

Question 7.

Change the following into 24-hour format.

(i) 3.15 a.m.

(ii) 12.35 p.m.

(iii) 12.00 noon

(iv) 12.00 midnight.

Solution:

Question 8.

Calculate the duration of time.

(i) from 5.30 a.m to 12.40 p.m

(ii) from 1.30 p.m to 10.25 p.m

(iii) from 20:00 hours to 4:00 hours

(iv) from 17:00 hours to 5 :15 hours

Solution:

(i) From 5.30 am to 12.40 pm

= (5.30 am to 12 pm) + 12 pm to 12.40 pm

= 6 hrs 30 min + 40 min

= 6 hrs 70 min

= 7 hrs 10 min

(ii) from 1.30 pm to 10.25 p.m.

(iii) from 20 : 00 hrs to 4 : 00 hrs.

(iv) from 17 : 00 hours to 5 : 15 hours.

Question 9.

The departure and arrival timing of the Vaigai Superfast Express (No. 12635) from Chennai Egmore to Madurai Junction are given. Read the details and answer the following.

(i) At what time does the Vaigai Express start from Chennai and arrive at Madurai?

(ii) How many halts are between there Chennai and Madurai?

(iii) How long does the train halt at the Villupuram junction?

(iv) At what time does the train come to Sholavandan?

(v) Find the journey time from Chennai Egmore to Madurai?

Solution:

(i) It starts from Chennai at 13 : 40 hrs and arrive at Madurai at 21 : 20 hrs.

(ii) There are 8 halts.

(iii) Departure from Villupuram = 15 hours 55 minutes

Arrival at Villupuram = 15 hours 50 minutes

The train halt at Villupuram for = 05 minutes

(iv) At 20 : 34 hours the train come to Sholavandan

(v) Arrival time at Madurai = 20 hours 80 (20 + 60) minutes

Departure time from Chennai Egmore = 13 hours 40 minutes

Journey Time = 07 hours 40 minutes

Question 10.

Manickam joined a chess class on 20.02.2017 and due to exam, he left practice after 20 days. Again he continued practice from 10.07.2017 to 31.03.2018. Calculate how many days did he practice?

Solution:

Before Exams, he practiced for 20 days.

Days From 10.07.2017 to 31.03.2018

July – 22 Days (From 10.7.2017)

August – 31 Days

September – 30 Days

October – 31 Days

November – 30 Days

December – 31 Days

January 2018 – 31 Days

February – 28 Days

March – 31 Days (upto 31.3.2018)

Total – 265 Days

Total number of days practiced = Number of days practiced before exam + Number of days practiced after exam

= 20 + 265

= 285 days.

∴ He practiced for 285 days.

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Question 11.

A clock gains 3 minutes every hour. If the clock is set correctly at 5 a.m, find the time shown by the clock at 7 p.m?

Solution:

5 a.m. = 5.00 hours

7 p.m = 19.00 hours

Difference = 19.00 – 5.00 = 14.00 hours

Time gain = 14 × 3 = 42 minutes

Time shown by the clock = 7.42 p.m

Question 12.

Find the number of days between republic day and kalvi valarchi day in 2020.

Solution:

2020 is a leap year republic day – 26.01.2020

Kalvi valarchi day – 15.07.2020

Jan – 5

Feb – 29

Mar – 31

April – 30

May – 31

June – 30

July – 14

Total – 170 days

Question 13.

If the 11th of January 2018 is Thursday, what is the day on 20th July of the same year?

Solution:

January – 21 Days (31 – 10)

February – 28 Days

March – 31 Days

April – 30 Days

May – 31 Days

June – 30 Days

July – 19 Days

Total – 190 Days

190 days ÷ 7

190 days = 27 weeks + 1 day

The required day is the first day after Thursday.

∴ 20th of July is Friday.

Question 14.

(i) Convert 480 days into years

(ii) Convert 38 months into years

Solution:

(i) Convert 480 days into years.

We know that 1 year = 365 days. [∵ 480 – 365 = 115 days ]

480 days = 1 year 115 days.

115 days = \(\frac{115}{30}\) months = 3 months 25 days

∴ 480 days = 1 year 3 months 25 days.

(ii) Convert 38 months into years

1 year has 12 months.

38 months = \(\frac{38}{12}\) years = 3 years 2 months

∴ 38 months = 3 years 2 months.

Question 15.

Calculate your age as on 01.06.2018

Solution:

Age is 12 years 2 months

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**Objective Type Questions**

Question 16.

2 days = …….. hours

(i) 38

(ii) 48

(iii) 28

(iv) 40

Solution:

(ii) 48

Question 17.

3 weeks = _____ days.

(a) 21

(b) 7

(c) 14

(d) 28

Solution:

(a) 21

Question 18.

Number of ordinary years between two consecutive leap years is

(i) 4 years

(ii) 2 years

(iii) 1 year

(iv) 3 years

Solution:

(iv) 3 years

Question 19.

What time will it 5 hours after 22 : 35 hours?

(a) 2 : 30 hrs

(b) 3 : 35 hrs

(c) 4 : 35 hrs

(d) 5 : 35 hrs

Solution:

(b) 3 : 35 hrs

Question 20.

2 \(\frac{1}{2}\) years is equal to months.

(i) 25

(ii) 30

(iii) 24

(iv) 5

Solution:

(ii) 30