Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3

Students can Download Maths Chapter 5 Statistics Ex 5.3 Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3

Question 1.
Fill in the blanks.

(i) The median of the data 12, 14, 23, 25, 34, 11, 42, 45, 32, 22, 44 is ________
(ii) The median of first ten even natural numbers is ________
Answers:
(i) 25
(ii) 11

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.3

Question 2.
Find the median of the given data: 35, 25, 34, 36, 45, 18, 28.
Solution:
Arranging the given data in ascending order 18, 25, 28, 34, 35, 36, 45.
Here the number of observations n = 7, which is odd.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3 1
Hence Median = 34

Question 3.
The weekly sale of motor bikes in a showroom for the past 14 weeks given below.
10, 6, 8, 3, 5, 6, 4, 7, 12, 13, 16, 10, 4, 7.
Find the median of the data.
Solution:
Arranging the given data in ascending order 3, 4, 4, 5, 6, 6, 7, 7, 8, 10, 10, 12, 13, 16.
Here number of data n = 14, which is even
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3 2
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3 3
∴ Median = 7

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.3

Question 4.
Find the median of the 10 observations 36, 33, 45, 28, 39, 45, 54, 23, 56, 25.
If another observation 35 is added to the above data, what would be the new median?
Solution:
Arranging the given 10 observations in ascending order 23, 25, 28, 33, 36, 39, 45, 45, 54, 56.
Here number of data n = 10, which is even
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3 4
∴ Median = 37.5
If 35 is added to the above data then it will be the 5th term then number of data n = 11, odd
∴ Median = (\(\frac { n+1 }{ 2 } \))th term = (\(\frac { 11+1 }{ 2 } \))th term
= (\(\frac { 12 }{ 2 } \))th term = 6th term
New median = 36

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.3

Objective Type Questions

Question 1.
If the median of a, 2a, 4a, 6a, 9a is 8, then find the value of a is
(i) 8
(ii) 6
(iii) 2
(iv) 10
Answer:
(iii) 2
Hint:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3 5
Median = 4a = 8
a = 2

Question 2.
The median of the data 24, 29, 34, 38, 35 and 30, is ________
(i) 29
(ii) 30
(iii) 34
(iv) 32
Answer:
(iv) 32
Hint:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3 6
Median = \(\frac { 30+34 }{ 2 } \)
= \(\frac { 64 }{ 2 } \)
= 32

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.3

Question 3.
The median first 6 odd natural numbers is
(i) 6
(ii) 7
(iii) 8
(iv) 14
Answer:
(i) 6
Hint:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.3 7
Median = \(\frac { 5+7 }{ 2 } \)
= \(\frac { 12 }{ 2 } \)
= 6

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.2

Students can Download Maths Chapter 5 Statistics Ex 5.2 Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.2

Question 1.
Find the mode of the following data. 2, 4, 5, 2, 6, 7, 2, 7, 5,4, 8, 6, 10, 3, 2, 4, 2.
Solution:
Arranging the given data in ascending order 2, 2, 2, 2, 2, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 10.
Here the number 2 occurs 5 times which is the maximum
∴ Mode of this data is 2.

Question 2.
The number of points scored by a Kabaddi team in 20 matches are
36, 35, 27, 28, 29, 31, 32, 31, 35, 38, 38, 31, 28, 31, 34, 33, 34, 31, 30, 29.
Find the mode of the points scored by the team.
Solution:
Arranging the given data in ascending order
27, 28, 28, 29, 29, 30, 31, 31, 31, 31, 31, 32, 33, 34, 34, 35, 35, 36, 38, 38.
Here the number 31 occurs 5 times which is the maximum.
∴ Mode of this data is 31.

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.2

Question 3.
The ages (in years) of 11 cricket players are given below.
25, 36, 39,38 40, 36, 25, 25, 38, o 26,36. Find the mode of the ages.
Solution:
Arranging the ages is ascending order: 25, 25, 25, 26, 36, 36, 36, 36, 38, 38, 39, 40.
The ages (in years) of 11 cricket players are given below. 25, 36, 39,38 40, 36, 25, 25, 38, o 26,36. Find the mode of the ages.
Arranging the ages is ascending order: 25, 25, 25, 26, 36, 36, 36, 36, 38, 38, 39, 40.
25 and 36 occurs maximum number of times.
∴ Mode is 25 and 36.

Question 4.
Find the mode of the following data.
12, 14, 12, 16, 15, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 15, 14.
Solution:
Tabulating the given data
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.2 1
The highest frequency is 10 which corresponds to the value 15.
Hence mode of this data is 15.

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.2

Objective Type Questions

Question 1.
The colors used by the six students for drawing is blue, orange, yellow, white, green and blue then the mode is ________
(i) blue
(ii) green
(iii) white
(iv) yellow
Answer:
(i) blue

Question 2.
Find the mode of data 3, 6, 9, 12, 15.
(i) 1
(ii) 2
(iii) 3
(iv) No mode
Answer:
(iv) No mode

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.2

Question 3.
Find the modes of the data 2, 1, 1, 3, 4, 5, 2.
(1) 1 and 5
(2) 2 and 3
(3) 2 and 1
(4) 1 and 4
Answer:
(3) 2 and 1

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Additional Questions

Students can Download Maths Chapter 6 Information Processing Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Additional Questions

Exercise 6.1

Question 1.
Draw a flowchart to calculate simple interest for your bank deposit.
Solution:
Flow Chart:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing add 1
Algorithm:
(i) Read principal
(ii) Read years
(iii) Read rate of interest per year
(iv) Calculate the interest with formula Interest = Principal × Years × Rate/100
(v) Print Interest

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 6 Information Processing Additional Questions

Question 2.
Draw a flowchart to convert the given Fahrenheit temperature to Celsius. Formula is C = \(\frac { 5 }{ 9 } \) × (F – 32)
Solution:
Algorithm:
(i) Read temperature in Fahrenheit
(ii) Calculate temperature in Celsius using formula C = \(\frac { 5 }{ 9 } \) × (F – 32)
(iii) Print C
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing add 2

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1

Students can Download Maths Chapter 5 Statistics Ex 5.1 Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1

Question 1.
Fill in the blanks.

  1. The mean of first ten natural numbers is ________
  2. If the average selling price of 15 books is ₹ 235, then the total selling price is ________
  3. The average of the marks 2, 9, 5, 4, 4, 8, 10 is ________
  4. The average of integers between -10 to 10 is ________

Answers:

  1. 5.5
  2. 3,525
  3. 6
  4. 0

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.1

Question 2.
Ages of 15 students in 8th standard is 13, 12, 13, 14, 12, 13, 13, 14, 12, 13, 13, 14, 13, 12, 14.
Find the mean age of the students.
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1 1
= \(\frac { 195 }{ 15 } \) = 13
Mean age of the students = 13

Question 3.
The marks of 14 students in a science test out of 50 are given below. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45, 39 Find
(i) the mean mark.
(ii) the maximum mark obtained.
(iii) the minimum mark obtained.
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1 2
Mean marks = 35
(ii) Maximum mark obtained = 47
(iii) Minimum mark obtained = 10

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.1

Question 4.
The mean height of 11 students in a group is 150 cm. The heights of the students are 154 cm, 145 cm, Y cm, Y + 4 cm, 160 cm, 151 cm, 149 cm, 149 cm, 150 cm, 144 cm and 140 cm. Find the value of Y and the heights of two students.
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1 3
150 = \(\frac { 1342+Y+Y+4 }{ 11 } \)
150 = \(\frac { 1346+2Y }{ 11 } \)
150 × 11 = 1346 + 2Y
1650 = 1346 + 2Y
2Y = 1650 – 1346 = 304
Y = \(\frac { 304 }{ 2 } \) = 152
Height of two students are Y and Y + 4
⇒ 152 and 152 + 4
⇒ 152 cm and 156 cm

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.1

Question 5.
The mean of runs scored by a cricket team in the last 10 innings is 276. If the scores are 235, 400, 351, x, 100, 315, 410,165, 260, 284, then find the runs scored in the fourth innings.
Solution:
Let the runs scored in the fourth innings be x.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1 4
276 × 10 = 2520 + x
2760 = 2520 + x
x = 2760 – 2520 = 240
∴ Number of runs scored in the fourth innings = 240

Question 6.
Find the mean of the following data. 5.1, 4.8, 4.3, 4.5, 5.1, 4.7, 4.5, 5.2, 5.4, 5.8, 4.3, 5.6,
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1 5
Mean = 5

Question 7.
Arithmetic mean of 10 observations was found to be 22. If one more observation 44 was to be added to the data, what would be the new mean?
Solution:
Arithmetic mean of 10 observation is 22.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1 6
= \(\frac { 220+44 }{ 11 } \) = \(\frac { 264 }{ 11 } \) = 24
New mean = 24

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.1

Objective Type Questions

Question 1.
________ is a representative value of the entire data.
(i) Mean
(ii) range
(iii) minimum value
(iv) maximum value
Answer:
(i) Mean

Question 2.
The mean of first fifteen even numbers is ________
(i) 4
(ii) 16
(iii) 5
(iv) 10
Answer:
(ii) 16
Hint:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Ex 5.1 7

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.1

Question 3.
The average of two numbers are 20. One number is 24, another number is ________
(i) 16
(ii) 26
(iii) 20
(iv) 40
Ans:
(i) 16
Hint:
\(\frac { x+y }{ 2 } \) = 20
x + y = 40
24 + y = 40
y = 40 – 24 = 16

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Ex 5.1

Question 4.
The mean of the data 12, x, 28 is 18. Find the value of x.
(i) 18
(ii) 16
(iii) 14
(iv) 22
Answer:
(iii) 14
Hint:
\(\frac { 12+x+28 }{ 3 } \) = 18
x + 40 = 54
x = 14

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1

Students can Download Maths Chapter 6 Information Processing Ex 6.1 Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1

Question 1.
Match the following:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 1
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 2

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 6 Information Processing Ex 6.1

Question 2.
The steps of withdrawing cash from your saving bank account using ATM card are explained in the figures given below. Construct an appropriated flow chart.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 3 Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 4 Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 5
Solution:
Algorithm:
(i) Swipe your bank Debit card / credit card.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 6
(ii) Select banking
(iii) Select language
(iv) Select transaction
(v) Enter your PIN
(vi) Enter the required amount
(vii) Collect your money

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 6 Information Processing Ex 6.1

Question 3.
Using given step by step process to recharge mobile phone, draw a sequence flowchart.

Step by Step process:

  • Login the mobile recharge web browser
  • Select prepaid or postpaid
  • Enter mobile number
  • Select operator and browse plans to choose your recharge plan
  • Enter amount to recharge
  • Proceed to recharge

Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 7

Question 4.
Complete the direction of the flowchart using arrows for the flow chart explaining the traffic rule given below.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 8
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 9

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 6 Information Processing Ex 6.1

Question 5.
Complete the given flowchart, input names of things and check whether it is living or non – living.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 10
Solution:
Input name Horse
Horse = a Yes
Print Living thing
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 11

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 6 Information Processing Ex 6.1

Question 6.
Complete the given flowchart.
(i) Fill in the flow chart to print the average mark by giving your I term or II term marks as inputs.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 12
(ii) Construct the flow chart to print teachers comment as “very good” if your average mark is above 75 out of 100 or else, as “still try more” can be inserted in the flow chart with earlier one.
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 13
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 14
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 15

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 6 Information Processing Ex 6.1

Question 7.
A merchant calculates the cost price (CP) and the selling price (SP) of the product bought by him. Construct the flow chart to print ‘PROFIT’ if the selling price (SP) is more than the cost price (CP) or else ‘LOSS’.
Solution:
First we have to input the cost price and selling price. Then we check whether cost price less than selling price. If S.P > CP, then print “PROFIT” otherwise print ‘Loss’.

Algorithm:

  1. Enter cost price
  2. Enter selling price
  3. Checking whether CP < SP
  4. If Yes print ‘PROFIT’
  5. If No print ‘Loss’

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 6 Information Processing Ex 6.1 16

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Additional Questions

Students can Download Maths Chapter 5 Statistics Additional Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics Additional Questions

Additional Questions and Answers

Exercise 5.1

Question 1.
The class scores on an exam are 97, 85, 92, 78 and 90. What is the average score?
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics add 1
= \(\frac { 442 }{ 5 } \) = 88.4

Question 2.
Mean of 20 observations is 27. Find the sum of 20 observations.
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics add 2
Sum of observations = 27 × 20
Sum of observations = 540

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Additional Questions

Question 3.
Mean of same observations is 15. Their sum is 405. Find the number of values.
Solution:
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics add 3
Number of values = \(\frac { 405 }{ 15 } \) = 27

Exercise 5.2

Question 1.
Find the mode of the following data. 1,2,5, 7, 3, 4, 2, 5, 7, 6, 2, 3.
Solution:
Arranging the data in ascending order: 1, 2, 2, 2, 3, 3,4, 5, 5, 6, 7, 7
Here 2 occurs maximum number of times.
∴ Mode is 2.

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Additional Questions

Exercise 5.3

Question 1.
Find the median of the data 1, 3, 7, 16, 0, 19, 7, 4, 3.
Solution:
Arranging the given data in ascending order: 0, 1, 3, 3, 4, 7, 7, 16, 19
Number of terms n = 9, which is odd.
∴ Median = (\(\frac { n+1 }{ 2 } \))th term
= (\(\frac { 9+1 }{ 2 } \))th term = (\(\frac { 10 }{ 2 } \))th term
= 5th term
Hence Median = 4

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Chapter 5 Statistics Additional Questions

Question 2.
Find the median of first 10 even number.
Solution:
First 10 even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Here number of data n = 10, which is even
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 5 Statistics add 4

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Students can Download English Poem 2 Courage Questions and Answers, Summary, Notes Pdf, Activity, Samacheer Kalvi 7th English Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Read And Understand

A. Answer the following questions.

Question 1.
Can courage be developed suddenly? Why?
Answer:
No, courage cannot be developed suddenly, because it is something, deep-rooted in the soul of a man.

Question 2.
When should we have courage?
Answer:
All those who make great efforts towards a goal, should have courage.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Question 3.
Give an example for dazzling light.
Answer:
‘Fire fly’ is an example for dazzling light.

Question 4.
Can a courageous man be defeated? Why?
Answer:
No, a courageous man cannot be defeated. This is so because a brave man can never be freed of it.

Question 5.
What is the ‘breath of life’?
Answer:
Courage is the’breath of life’.

Question 6.
What are the characteristics of a courageous man?
Answer:
Patience and strength are the characteristics of a courageous man.

B. Read the following lines and answer the questions.

Question 1.
It isn’t an instantaneous thing
Born of despair with a sudden spring

(a) What does ‘it’ refer to?
Answer:
‘It’ refers to ‘courage’.

(b) What does ‘born of despair mean’?
Answer:
‘Born of despair’ means ‘born of hopelessness’.

Question 2.
It’s a slow, unwavering, ingrained trait
With the patience to work and the strength to wait.

(a) What is an ‘ingrained trait’?
Answer:
Courage is an ‘ingrained trait’.

(b) Why does a courageous man need patience?
Answer:
A courageous man needs patience because courage is a slow, steady and firm quality.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Question 3.
It’s part of his hours, his days and his years,
Back of his smiles and behind his tears.

(a) What does ‘tears’ mean?
Answer:
‘Tears’ means ‘sorrow’.

Literary Appreciation

(Rhyme Scheme: A rhyme scheme is the pattern of rhyming words at the end of each line of a poem or song. It is usually referred to by using letters to indicate which lines rhyme; lines designated with the same sound rhyme with each other.)

C. Work in pairs and answer the following.

Question 1.
Pick out the alliterated words.
Answer:

  1. Daring – deed
  2. thing – that
  3. no – need
  4. sudden – spring
  5. something – soul
  6. serve – some
  7. thing – that
  8. can – call
  9. he – have
  10. who – would
  11. no – need
  12. can – come
  13. may – meet
  14. his – hours

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Question 2.
Pick out the rhyming words.
Answer:

  1. Dash – flash
  2. thing – spring
  3. hope – rope
  4. man – plan
  5. resort – sport
  6. call – fall
  7. not – hot
  8. goal – soul
  9. light – sight
  10. trait – wait
  11. blue – do
  12. show – go
  13. defeat – meet
  14. years – tears
  15. deed – creed

Question 3.
Write the rhyme scheme of the poem.
Answer:
The rhyming scheme of the poem is ‘a a b b’.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Creative Writing

Bio – Poem
A Bio – Poem is an essay about oneself in the form of poetry.

D. Work in small groups. Pick out the adjectives and nouns that suit you using a dictionary. Read the steps given. Arrange adjectives and nouns like the given sample to construct your Bio-Poem. Present in the class.

Sarah
Strict, smart, active and friendly,
Daughter of Lazaro, sister of Francis
Lover of sports, music and reading.
Who feels enthusiastic, merry and comfortable
Who needs peace, health and prosperity
Who gives courage, money and guidance
Who fears cockroaches, spiders and lizards
Who would like to see the Himalayas, Kashmir and Europe
Lives in Australia
James

E. Collect all the poems. Compile an Anthology of BioPoems of Class VII.
Answer:
Activity to be done by the Students.

Courage Additional Questions

I. Poem Comprehension.

Question 1.
Courage isn’t a brilliant dash,
A daring deed in a moments flash;

(a) Which is a daring deed?
Answer:
Courage is a daring deed.

(b) What is a deed?
Answer:
A deed is an act.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Question 2.
For who would strive for a distant goal
Must always have courage within his soul.

(a) Who must have courage?
Answer:
The one who wants to make great effort in life, should have courage.

(b) What is a ‘goal’ here?
Answer:
A goal is a challenge or aim in life.

Question 3.
It’s part of a man when his skies are blue,
It’s part of him when he has work to do.
What do you mean by the phrase ‘his skies are blue’?
Answer:
It means enthusiastic or in a happy state.

II. Poetic Devices.

Question 1
Born of despair with a sudden spring
Pick out the alliterated words,
Answer:
sudden – spring are the alliterated words.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Question 2.
it isn’t a creature of flickered hope
Or the final tug at a slipping rope;
But it’s something deep in the soul of man
That is working always to serve some plan.

(a) What are the rhyming words?
Answer:
hope – rope; man – plan are the rhyming words.

(b) What is the rhyming scheme?
Answer:
The rhyming scheme is ‘a a b b’

III. Short Questions and Answers.

Question 1.
What do you mean by the word ‘flickered’?
Answer:
‘Flickered’ means shone unsteadily.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Question 2.
What was courage never designed for?
Answer:
It was never designed for show.

Question 3.
Where is courage written?
Answer:
Courage is written in victory and defeat.

Question 4.
What is more than a daring deed? .
Answer:
Courage is more than a daring deed.

Question 5.
What do you mean by the word ‘creed ?
Answer:
‘Creed’ means faith in oneself.

IV. Paragraph Question with Answer.

Question 1.
How is courage a daring deed?
Answer:
Courage is a daring act of a person. It is not like lightning that flashes and goes off. It is not born of hopelessness and with a sudden spring. It shines steadily and is always long-lasting. The courage always drops in and reflects itself, when the person is facing a tough time. One who wants to win a goal need to have courage. Courage is displayed in every victory and defeat. It is more than a brave deed, as it is the breath of life and the faith of a strong man.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage

Warm Up

Look at the ‘Face It’ chart. Discuss in small groups and tell how to face those situations.

Samacheer Kalvi 7th English Solutions Term 3 Poem Chapter 2 Courage
Answer:
When we don’t win in the sports competitions or in any other field, we have to face it boldly with courage. We should be bold enough to accept the failures or defeats. We should always try to win the next game or competition with confidence.
We must be courageous in facing all our endeavours. This attitude will help us to face anything boldly.

Courage Summary

Edgar Albert Guest elaborates that courage is temporary and not a mere flash of reflection. It is not like lightning that flashes and goes off. He explains that courage is long-lasting and always remains. It leaves a deep and lasting impression. It always works in the background and keeps reflecting itself. It stays with the person in every moment, situation and throughout life in one way or the other. It holds back the person, whether he calls for it or not. The courage always drops in and reflects itself, when the person is facing a tough time. As it slips down, the situations go against the run. The poet says one who wants to win has to explore misfortune, failures and mishaps.

The poet emphasizes how one needs to take any sort of failures positively. One should hold on to courage in the tough times. One has to face and suffer the dark during the negative days in life and has to bear the unfortunate losses. The true time to test one’s courage is when one is facing a rough time. It is displayed in every victory and defeat. It is there in every challenge, a man may meet. It is more than a daring act. It is the breath of life and faith of a story man.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Students can Download English Lesson 1 Jane Eyre Questions and Answers, Summary, Notes Pdf, Activity, Samacheer Kalvi 7th English Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 3 Man Overboard

Vocabulary

Semantic Map
A. Read the list of words. Write down all the words related to those words. Create a “map” using a graphic organiser and discuss it in groups. One is done for you.

(Library,building,garden,student,teacher,advertisement,animal,art)
Answer:
Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 1

1.
Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 2

2.
Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 3

3.
Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 4

B. Look at the list of words. Read the instructions and make Vocabulary Frames.notice hide quarrelling quickly
(notice,hide,quarrelling,quickly,tired,wide,pretty,threw)

Top Right Corner : The word’s defination
Top Left Corner : The word’s opposite
Lower Left Corner : A sentence that uses the defination of the word
Lower Right Corner : Graphic visualization
In the Centre : The word
Answer:

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 5

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 6

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 7

Three Samples are given and others to be done by the Students.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Syllable

C. Fill in the table with monosyllabic, disyllabic and trisyllabic words from the play ‘Jane Eyre’.
Answer:
Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 8

Listening

D. Listen to the conversation between a father and daughter and say whether following statements are true or false.

  1. Dad hasn’t been to this fishing spot since last year.
  2. Dad used to go fishing with his father.
  3. Dad has talked a lot about this fishing spot in the past.
  4. The daughter also loves to fish.
  5. Dad says his daughter MUST fish.
  6. The daughter is going to cook the fish.
  7. Dad’s fishing place hasn’t changed since he was a boy.

Answer:

  1. False
  2. False
  3. True
  4. True
  5. False
  6. True
  7. False

Speaking

E. Imagine that below are some of the paintings of Jane Eyre. Discuss with your partner and describe the paintings.
Answer:
Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 9

Role Play

F. Put students into groups of three and let them act as Jane.

Student 1 : I am Jane. As my parents died, I had to live with my uncle and aunt Mr. and Mrs. Reed in a town called Gateshead. My three cousins Eliza, John and Georgiana ill-treated me. After my uncle’s death, my aunt did not look after me as her daughter. She always locked me up in a red room. Besides, the maid had to listen to my aunt and did, as was told by her. My aunt wrote a letter to Mr. Brocklehurst and sent me to Lowood.

Student 2 : At Lowood, I met Miss. Muller and Miss. Temple. They put me in the fourth form. There, I got a new companion Helen Burns, who told me that their school was a charity school for the orphans. But after some time, Helen got ill and passed away leaving me alone in Lowood. I spent eight years in school – six years as a student and two years as a teacher. I wanted liberty. So I advertised in Herald for situations. A week later, I received a letter from Mrs. Fairfax, Thornfield, for a job.

Student 3 : There, at Thornfield, I was asked to teach Miss. Adela. She was Mr. Rochester’s ward. I liked Thornfield very much. I told Adela that I would teach her about nature, animals and flowers. We can study all we can that isn’t in books. I believe that art is the window of the soul. So I started teaching Adela and led a new life in Thornfield.

After this, decide who is the unhappiest of the three ‘Janes5.
Answer:
The unhappiest of the three ‘Janes’: ‘Jane’ who lived with Mrs. Reed, at Gateshead.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Reading

G. Read the story and fill in the grid by ticking each character’s qualities.
Discuss in pairs to rate the characteristic and give marks from 1 to 10 depending on the grade of each quality.
Justify your views in one or two sentences.
Answer:
Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 10

Marks
Kind: 10 Marks
Patient: 7 Marks
Emotional: 4 Marks
Rich: 1 Mark
Self-disciplined: 9
Marks Courageous: 6
Marks Sensitive: 3 Marks
Friendly: 8 Marks
Caring: 5 Marks
Poor: 2 Marks
A person should always be kind, self-disciplined and friendly to others

H. Arrange the jumbled sentences and write a paragraph. Use appropriate conjunctions.

  1. Jane Eyre is an orphan.
  2. She lives with her aunt Mrs. Reed. ,
  3. Mrs. Reed does not like Jane because Jane is not her daughter.
  4. Jane’s uncle Mr. Reed likes Jane, but he dies.
  5. He makes Mrs. Reed promise to take care of Jane, but instead she sends Jane away.
  6. Jane is ten years old, she is sent to Lowood school.
  7. Jane graduates and stays there to teach.
  8. She leaves for Thornfield, where she is a governess.
  9. She is very happy there.

Answer:
1, 2,4, 3, 5, 6, 7, 8, 9
Jane Eyre is an orphan. So she lives with her aunt and uncle Mr. and Mrs. Reed. Jane’s uncle Mr. Reed likes Jane, but he dies. Mrs. Reed does not like Jane because Jane is not her daughter. Before his death, Uncle Reed makes his wife promise to take care of Jane, but instead she sends her away. As Jane is only ten years old, she is sent to Lowood school. As, Jane gets graduated herself, she stays there to teach. From there, she leaves for Thornfield, where she becomes a governess. She is very happy there.

I. Read scene I. Discuss with your partner what Mrs Reed might write about Jane in her letter to the owner of a school. Now complete her letter to Mr. Brocklehurst.
Answer:
Gateshead Hall, Gateshead
Northumberland
Mr Brocklehurst Lowood Institution Lowood Durham
Dear Sir,
I understand that you have a school for the orphans. My niece, Miss. Jane Eyre, who is ten years old, is an orphan. She lost her parents. I am finding it difficult to bring her up here. So I request you to admit her in your charity institution. If you permit to take her, I will send her to Lowood.
Thank you.
Yours sincerely,
Mrs. Reed.

Grammar
Determiners

J. Read the passage. Choose between a little, a lot of, a few, few, fewer, many and much to fill in the gap.

DON’T CALL US, WE’LL CALL YOU!
Answer:
Two years ago, I moved to a new neighbourhood. There seemed to be very few people in this area without telephones, so I expected to get a new phone quickly. I applied forone as soon as I moved into my new house. ‘We aren’t supplying a lot of new phones in your area’, an engineer told me. ‘A few people want new phones at the moment and the company is employing fewer engineers than last year so as to save money. A new phone won’t cost you much money, but it will take a little time. We can’t do anything for you before December. ‘You need a lot of patience if you’re waiting for a new phone and you need many friends whose phones you can use as well. Fortunately, I had both. December came and went, but there was no sign of a phone. I went to the company’s local office to protest. ‘They told me I’d have a phone by December,’ I protested. ‘Which year?’ the assistant asked.

Perfect Tenses

K. Read the Time Line of Harish. Write sentences using the present perfect tense.
Answer:

  1. Harish has been born in Madurai in 1971.
  2. Harish and his family have moved to Chennai in 1976.
  3. In 1993, Harish has finished college and started working for Indian Oil.
  4. In 1996, Harish has been promoted as a manager at Indian Oil.
  5. Harishhas met Amina in 1997.
  6. Harish and Amina have got married in 2000.
  7. They have had a child in 2001.

L. Read the following passage and fill in the blanks with the correct form of the verb.
Where had I gone? What had I done?
What had I seen?
Answer:
I had never seen (see) such beautiful sights before I visited Paris in 2012. I had saved (save) money for five years before I booked my trip to Paris. I was very excited! Before my trip to Paris, I had never been (be) out of India.
When I went to Paris, I spent many days touring the city. The city was big. Sometimes I got lost and asked for directions. I asked for directions in French. That was easy because I had studied (study) French for two years before I visited Paris.
By the time I left Paris, I had toured (tour) many beautiful places. The Eiffel Tower, the Notre Dame Cathedral, and the Luxembourg Gardens were just a few of the places I saw. Before I visited Paris, I had only seen (see) those places on television.

Prepositions

M. Look at the picture and write eight sentences using prepositions.
Where is the rabbit
Answer:

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 11

  1. The rabbit is in front of the bag.
  2. The rabbit is behind the bag.
  3. The rabbit is under the bag.
  4. The rabbit inside the bag.
  5. The rabbit is on the bag.
  6. The rabbit is between two bags.
  7. The rabbit is near the bag.
  8. The rabbits are running around a bag.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Comparative And Superlative Survey

N. Answer the questions below. Write your answers in the second column of the table.

a. How old are you?
b. How tall are you?
c. What bicycle do you have?
d. How many languages do you speak?
e. At what time do you usually wake up?
f. How far is your home from school?
Answer:

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 12

O. Work in groups of six. Write the other students’ names at the top of the fable. Interview each student using the above questions and complete the table with their answers.
When you have all the answers, use the results to write three comparative and three superlative sentences about the students in your group.
Examples: I am the oldest in my group.
My bicycle is more colourful than Jane’s bicycle. m
Answer:

  1. I am younger than Reena.
  2. Vinay is older than me.
  3. Reena gets up earlier than Latha.
  4. My bicycle is the most attractive one.
  5. Latha’s home is the nearest one to the school.
  6. Jane is the youngest in her class.

Passive Voice

P. Read the followingarticleabout theamazingsimif arities be tween the assassination of John F. Kennedy and Abraham Lincoln; then underline the passive forms.
Answer:

  1. Abraham Lincoln was elected to Congress in 1846. Voters elected John F. Kennedy to Congress in 1946.
  2. Lincoln was elected president in 1860. Voters elected Kennedy president in 1960.
  3. Both men were particularly concerned with civil rights.
  4. Both wives lost their children while living in the White House.
  5. Lincoln was shot on a Friday. Someone shot Kennedy on a Friday.
  6. Lincoln was shot in the head. The gunman shot Kennedy in the head.
  7. Lincoln’s secretary was called Kennedy. Kennedy’s secretary A was called Lincoln.
  8. Lincoln was assassinated by a Southerner. A Southerner assassinated Kennedy.
  9. Lincoln was succeeded by a Southerner named Johnson. A Southerner named Johnson succeeded Kennedy.
  10. Andrew Johnson, who succeeded Lincoln, was born in 1808.
  11. Lyndon Johnson, who succeeded Kennedy, was born in 1908.
  12. John Wilkes Booth, who assassinated Lincoln, was born in 1839. Lee Harvey Oswald, who assassinated Kennedy, was born in 1939.
  13. Both assassins were known by their three names and both names are composed of fifteen letters.
  14. Lincoln was shot at a theatre named “Ford”. The gunman shot Kennedy in a car called a “Lincoln” that the company Ford made.
  15. Booth ran from the theatre and was caught in a warehouse. Oswald ran from aware house and the police caught him in a theatre.
  16. Booth was assassinated before his trial. Someone assassinated Oswald before his trial.

Q. Reported Questions.

Question 1.
Jane told Bessie that she would hide herself in the library with Uncle Reed’s book.
Answer:
“I’ll hide myself in the library with uncle Reed’s book”.

Question 2.
John ordered Jane to come there when he called her.
Answer:
“Come here when 1 call you.”

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 3.
Eliza asked Jane what she was doing then.
Answer:
“What are you reading now?”

Question 4.
Mrs. Reed told Bessie to take her away to the red room and lock her in there.
Answer:
“Take her away to the red room and lock her in there!”

Question 5.
Miss. Temple asked Jane whether she could read and write.
Answer:
“Can you read and write?”

Question 6.
Miss. Miller asked Miss. Temple where she should put Jane.
Answer:
“Where shall I put her Miss. Temple?”

Question 7.
Jane asked Helen why they called it an institution.
Answer:
“And why do they call it institution?”

Question 8.
Helen asked Jane why she had come there.
Answer:
“Why have you come here, Jane?”

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 9.
Jane asked Mrs. Fairfax whether she would have the pleasure of seeing Miss. Fairfax that night.
Answer:
“Shall I have the pleasure of seeing Miss. Fairfax tonight?”

Question 10.
Miss. Adela told Jane that she could sirig and dance also.
Answer:
“I can sing and dance also.

Connecting To Self
R. Case Study.

  • In Charlotte Bronte’s day, many orphans were sent to institutions like Lowood.
  • Conduct research to find out what options exist today for children without parents.
  • Refer books and Internet resources as well as children’s services department in India.
  • Then, prepare two or three case studies, or profiles, using made-up names, that present typical situations.

Answer:
Activity to be done by the Students.

Project

S. Look at the story board. Read the captions given under each frame. Fill the bubbles and complete the story board.

  • Create your own story board for the scene ‘At Thornfield’.
  • Make a power point presentation using the story board.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 13
Answer:
Activity to be done by the Students

Jane Eyre Additional Question

I. Choose the correct Synonyms from the options below.

Question 1.
mischiefs
(a) solemnity
(b) virtues
(c) tricks
(d) boons
Answer:
(c) tricks

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 2.
uproar
(a) calm
(b) harmony
(c) quietness
(d) a loud ness

Question 3.
dependent
(a) independent
(b) unconditional
(c) helpless
(d) strong
Answer:
(c) helpless

Question 4.
screams
(a) shriek
(b) whisper
(c) relax
(d) laugh
Answer:
(a) shriek

Question 5.
behaviour
(a) idleness
(b) misbehaviour
(c) misconduct
(d) conduct
Answer:
(d) conduct

Question 6.
collapses
(a) falls
(b) succeeds
(c) increases
(d) rises
Answer:
(a) fails

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 7.
hesitate
(a) willing
(b) certain
(c) pause
(d) resolute
(c) pause

Question 8.
quieten (a) slow
(b) dull
(c) hasten
(d) lethargic
Answer:
(c) hasten

Question 9.
charity
(a) financial aid
(b) selfishness
(c) meanness
(d) miserly
Answer:
(a) finanial aid

Question 10.
composed
(a) disturbed
(b) excited
(c) overwrought
(d) cool
Answer:
(d) cool

II. Choose the correct Antonyms from the options below.

Question 1.
eagerly
(a) happily
(b) anxiously
(c) uninterestingly
(d) strongly
Answer:
(c) uninterestingly

Question 2.
receive
(a) collect
(b) accept
(c) awarded
(d) give
Answer:
(d) give

Question 3.
desperate
(a) cheerful
(b) hopeless
(d) despairing
(d) lacking
Answer:
(a) cheerful

Question 4.
tedious
(a) boring
(b) dull
(d) monotonous
(d) exciting
Answer:
(d) exciting

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 5.
pleasure
(a) delight
(b) comfort
(c) displeasure
(d) bliss
Answer:
(c) displeasure

Question 6.
entertain
(a) bore
(b) enjoyment
(c) consideration
(d) amusement
Answer:
(a) bore

Question 7.
horrible
(a) shocking
(b) horror
(c) agreeable
(d) dreadful
Answer:
(c) agreeable

Question 8.
frightful
(a) delightful
(b) awful
(c) horrible
(d) terrible
Answer:
(a) delightful

Question 9.
immediately
(a) instantly
(b) presently
(c)later
(d) directly
Answer:
(c) later

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 10.
neglected
(a) cared
(b) failed
(c) ignored
(d) disregarded
Answer:
(a) cared

III. Choose the Correct Answer (MCQ).

Question 1.
Mrs. Reed is in a ______ mood at breakfast this morning.
(a) happy
(b) frightful
(c) sad
(d) jovial
Answer:
(b) frightful

Question 2.
Jane rises and cautiously goes to ______
(a) Eliza
(b) Bessie
(c) Georgiana
(d) John
Answer:
(d) John

Question 3.
Tohn‘throws the ______ at her.
(a) stofie
(b) book
(c) duster
(d) stick Big
Answer:
(b) book

Question 4.
Take her awav in the ______ room and lock her in there.
(a) dark
(b) lonely
(c) red
(d) last
Answer:
(c) red

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 5.
What shocking ______ for a voung girl.
(a) behaviour
(b) nature
(c) attitude
(d) quality
Answer:
(a) behaviour

Question 6.
I will not be taken in by your ______
(a) game
(b) show
(c) tricks
(d) plans
Answer:
(c) tricks

Question 7.
She is let off at the gates of ______
(a) Lowood
(b) Gateshead
(c) Thornfield
(d) Northumberland
Answer:
(a) Lowood

Question 8.
It’s partly a charity ______
(a) school
(b) home
(c) organization
(d) orphanage
Answer:
(a) school

Question 9.
Jane spends ______ years in the school.
(a) nine
(b) six
(c) seven
(d) eight
Answer:
(d) eight

Question 10.
You are an early ______
(a) bird
(b) riser
(c) applicant
(d) person
Answer:
(b) riser

IV. Very Short Question with Answer:

Question 1.
How Old was Jane when she came to her aunt’s house?
Answer:
She was ten years Old.

Question 2.
Who were her cousins?
Answer:
Her cousins were Eliza, John and Georgiana.

Question 3.
What was the name of the servant maid of Mrs. Reed?
Answer:
The servant maid of Mrs. Reed was Bessie.

Question 4.
What did Bessie tell Jane?
Answer:
Bessie told Jane not to quarrel with Miss. Georgina and Eliza. If she does, the whole house would be in uproar.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 5.
What book was Jane reading?
Answer:
Jane was reading “Bewick’s History Of British Birds.

Question 6.
What did John do to her?
Answer:
John threw the book at her. He grasped her hair and shoulder and hit her with something.

Question 7.
What does Mrs. Reed tell Bessie to do with Jane?
Answer:
Mrs. Reed ordered Bessie to take Jane to the red room and lock her up.

Question 8.
To whom does Mrs. Reed write a letter about Jane?
Answer:
Mrs. Reed writes a letter to Mr. Brocklehurst about Jane.

Question 9.
Where was Jane sent by Mrs. Reed?
Answer:
Jane was sent to Lowood institution by Mrs. Reed.

Question 10.
How were the girls in the school dressed?
Answer:
girls were uniformly dressed.

V. Short Questions with Answers.

Question 1.
Why was Jane ill at Mrs. Reed’s house?
Answer:
When Jane was locked in the red room, she started crying and screamed loudly to let her out. She also heard some noise and saw someone. So she felt ill.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 2.
Where did Miss Miller and Jane enter, the next day? Who were there?
Answer:
Miss Miller and Jane entered a wide long room. There were many girls of age ten to twenty.

Question 3.
What type of a school was the Lowood Institution?
Answer:
Lowood Institution was partly a charity school. It is an institution for educating orphans.

Question 4.
What happened at Lowood School, when the spring started?
Answer:
When spring started, semi-starvation and neglected colds had put most of the students at the risk of getting infection. Forty-five out of the eighty girls lay ill at one time.

Question 5.
How many years did Jane spend in Lowood School?
Answer:
Jane spent eight years in the Lowood School. She was there as a student for six years and worked as a teacher for two years.

VI. Paragraph Question with Answer.

Question 1.
Narrate the incident at Thornfield.
Answer:
Jane received a letter from Mrs. Fairfax at Thornfield to teach Adela. Jane went to if Thornfield and met Mrs. Fairfax. She gave her a warm welcome. Next morning, Miss. Adela came running to Jane followed by her attendant Miss. Varens. Jane told her that she would teach her to learn about nature, animals and the flowers. They would study all they can that isn’t in the books. They would also learn to paint and draw. She started teaching Adela and led a new life at Thornfield.

Warm Up

Every child has a right to an education, a life free from poverty and protection from abuse. Look at the picture

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre img 14

Discuss in pairs and answer.

Question 1.
What are the basic human rights?
Answer:

  1. Right to Equality
  2. Right to Freedom
  3. Right against Exploitation
  4. Right to Freedom of Religion, Culture and Education.
  5. Right to Constitutional Remedies.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Question 2.
What is education?
Answer:
Education is the process of getting knowledge, skills, values, beliefs and habits.

Question 3.
Why do lye jxeed education?
Answer:
Education gives us a knowledge of the world around us and changes it into something better. It helps us build opinions and have points of view on things in life.

Think and Answer.

Question 1.
How would life be on this planet if some of the human rights are excluded?
Answer:
Life on this planet would become more difficult for the commoners, if some of the human rights are excluded.

Question 2.
Are there any rights you would still like to add to the human rights list?
Answer:
I would like to add ‘the right to own your things, Freedom of thought and expression, right to social security and right to play’, to the human rights list.

Jane Eyre Summary

Jane Eyre was a ten years old girl. Her parents were deaid. So she lived with her aunt Mrs. Reed and her three cousins – Eliza, John and Georgiana. Mrs. Reed’s house was in a town called Gateshead, in England. Jane’s uncle Mr. Reed liked her. But he was no more. He died. Mrs. Reed did not like Jane because she was not her daughter. Her three cousins always ill-treated her and Mrs. Reed locked her up in the red room. After this incident, Mrs. Reed wrote a letter to Mr. Brocklehurst who is running a school at Lowood. Jane is sent to Lowood. There Jane was put in form four with other girls. It was a charity school which was run for the orphans. Semi-starvation and neglected colds had given way to infection. Forty-five students out of eighty girls lay ill at one time. Helen, Jane’s friend, also fell ill and died. Jane spent eight years in the school, six years as a student and two years as a teacher. She got a job as a teacher at Thornfield. There she started teaching Adela and led a new life in Thornfield.

Samacheer Kalvi 7th English Solutions Term 3 Play Chapter 1 Jane Eyre

Discuss in pairs and answer.

Question 1.
Why does Jane want to go to school or learn anything in the first place?
Answer:
Jane wants to learn life’s lessons that shape her character as an adult.

Question 2.
Why does education become such an important issue for her as a child?
Answer:
Education becomes such an important issue for Jane because education for every single one of her emotional and physical needs – food, shelter, friendship.

Question 3.
What does Jane’s education at Lowood prepare her to do?
Answer:
Jane’s education at Lowood prepares her to understand the world in teacher-student relationship

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Students can Download English Lesson 2 Man Overboard Questions and Answers, Summary, Notes Pdf, Activity, Samacheer Kalvi 7th English Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Read And Understand

A. Complete the following statements.

Question 1.
Everyone in the ship started to pray because -___________
Answer:
they received a message about the formation of storm

Question 2.
Vasanthas imagination ran wild because -___________
Answer:
she remembered her class teacher telling about a big storm

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 3.
Vasantha made a lot of noise because -___________
Answer:
a man tumbled over the railings into the wild sea

Question 4.
Vasantha could not see the rescue operation because -___________
Answer:
the boat was too far for her to see what was happening

Question 5.
The captain presented a gift to Vasantha because -___________
Answer:
of her immediate action in saving a man

B. Identify the speaker / character.

  1. Don’t worry, Madam, it’s only a warning.
  2. A man fell into the sea. Please save him.
  3. Stop ship. Drop anchor. Quick!
  4. He’ll have to be given artificial respiration and kept warm.
  5. Wake up, child.

Answer:

  1. A gentle man
  2. Vasantha
  3. Captain of the ship
  4. The doctor
  5. A sailor

C. Book Talk!
Read the story once again and fill in the boxes.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Beginning : Vasantha was on board a ship called S.S. Rajula. She was travelling to Singapore after her stay with her grandparents.

Middle : Due to a strong wind, the ship rocked to and fro. Huge waves were dashing against it. A man on board tumbled over the railings into the wild sea. Vasantha shouted for help. The rescue officers saved him and he was sent for immediate medical care.

End : The man was saved. The captain of the ship was pleased and presented her a model of a ship. Vasantha was the happiest person on board that day.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

A When : She boarded a ship called S.S. Rajula which was going to Singapore.

Where : At Madras Harbour.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

  • Vasantha : Vasantha, a young girl.
  •  Captain : Captain Lindsay, Captain of the ship ‘S.S. Rajula’.
  •  Others :
  1. A person standing next to Vasantha.
  2. An old lady.
  3. A gentleman.
  4. Another lady who was sitting beside Vasantha.
  5. A man who fell into the sea.
  6. Two sailors who saved him.
  7. The ship’s doctor.
  8. Two nurses.
  9. Rescue team.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Describe the prooblem in the story :
When a huge wave lashed the ship, a man tumbled over the railings into the wild sea.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Describe the solution :
Vasantha alerted everyone to save the man. The Rescue team struggled and the two sailors dragged the man to the ship. Immediate medical care was given to him.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Write the part you enjoyed the most :
Vasantha’s immediate action in alerting the members of the ship to save the man.

Connecting To Self

D. Read the incidents. Work in small groups to role play the situations in which they showed their presence of mind. Each group should perform the skit for the rest of the class. Share similar situations in the class.
Answer:
Activity to be done by the students

Project

E. Look at the picture. Browse the internet with the help of your teacher to get information about the little brave hearts of India.
Search for similar brave hearts in your locality.
Scan the QR. Download the nomination form for National Bravery Award. Read the instructions and fill the nomination for NBA.
Brave Hearts of India

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard
Answer:
Activity to be done by the students.

Step To Success

F. In each question below, there is a sentence in which some parts have been jumbled up, Rearrange these parts which are labelled P, Q, R and S to produce the correct sentence. Choose the proper sequence.

Question 1.
When he
P : did not know
Q : he was nervous and
R : heard the hue and cry at midnight
S : what to do
(a) RQPS
(b) QSPR
(c) SQPR
(d) PQRS
Answer:
(d) PQRS

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 2.
They felt safer
P : to watch the mountain
Q : of more than five miles
R : as they settled down
S : from a distance
(a) RPSQ
(b) RSQP
(c) PQRS
(d) PRSQ
Answer:
(b) RSQP

Question 3.
If you need help
P : promptly and politely
Q : ask for attendants
R : to help our customers
S : who have instructions
(a) SQPR
(b) QPSR
(c) QSRP
(d) SQRP
Answer:
(c) QSRP

Question 4.
He knew that
P : and then to save himself
Q : was to save all the lives
R : entrusted to his care
S : the duty of a captain
(a)PQRS
(b) SQRP
(c) SPRQ
(d) QSRP
Answer:
(b) SQRP

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 5.
With her body
P : dragging her unwilling feet
Q : weak and infirm
R : doubled with age
S : she persisted in her mission
(a) PQRS
(b) QPRS
(c) RQPS
(d) SRPQ
Answer:
(a) PQRS

Man Overboard Additional Questions

I. Choose the Correct Answers (MCQ).

Question 1.
I was _________ to be on board the ship.
(a) bored
(b) sad
(c) thrilled
(d) shocked
Answer:
(c) thrilled

Question 2.
Uncle, I am going back to my parents in _________
(a) London
(b) Malaysia
(c) Australia
(d) Singapore
Answer:
(d) Singapore

Question 3.
I request all of you to keep _________
(a) calm
(b) silent
(c) quiet
(d) Shouting
Answer:
(a) calm

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 4.
There _________ was everywhere.
(a) sorrow
(b) happiness
(c) energy
(d) Panic
Answer:
(d) Panic

Question 5.
‘A ‘ _________ sea will be the end of me!’
(a) rough
(b) calm
(c) wild
(d) roaring
Answer:
(a) rough

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 6.
This made my imagination run _________
(a) mad
(b) wild
(c) Strength
(d) deep
Answer:
(b) wild

Question 7.
Even the heavy pianos in the _________ went crashing against the wall
(a) hall
(b) room
(c) lounge
(d) dining room
Answer:
(c) lounge

Question 8.
_________ waves were dashing against the ship
(a) High
(b) Huge
(c) Big
(d) mild
Answer:
(b) Huge

Question 9.
People started crowding the _________
(a) deck
(b) board
(c) kitchen
(d) Lounge
Answer:
(a) deck

Question 10.
I borrowed the captain’s _________
(a) glasses
(b) binoculars
(c) book
(d) gloves
Answer:
(b) binoculars

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

II. Identify the Character / Speaker.

Question 1.
“What’s your name?”
Answer:
A person on board

Question 2.
“I request all of you to keep calm.”
Answer:
The capital of the ship

Question 3.
“I’ll call you afterwards,”
Answer:
The capital of the ship

Question 4.
“There was a big storm near Gibraltar.”
Answer:
Vasantha class teacher

Question 5.
“Good Morning, Uncle, isn’t it lovely?”
Answer:
Vasantha

Question 6.
“Can I be of any help?”
Answer:
Vasantha

Question 7.
“What’s the matter? Why are you making, so much noise?”
Answer:
The capital of the ship

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 8.
“You’re hurting me, Sir.”
Vasantha

Question 9.
“Aye, aye, captain.”
Answer:
The Ship’s doctor

Question 10.
Wake up, child. You’re Vasantha, aren’t you?”
Answer:
A sailor

III. Write True or False against each statement.

  1. Vasantha’s class teacher was a Tamilian.
  2. A man was vomiting over the rails of the ship.
  3. The name of the captain was S.S. Rajula.
  4. Vasantha was very much afraid of the storm.
  5. An old lady said that her only son was waiting for her in Singapore

Answer:

  1. False
  2. True
  3. False
  4. False
  5. True

IV. Very Short Questions with Answers.

Question 1.
Who stood on the deck of S.S. Rajula?
Answer:
Vasantha stood on the deck of S.S. Rajula.

Question 2.
Whom did Vasantha wave to?
Answer:
Vasantha waved to her grandparents.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 3.
How did Vasantha spend the day in the ship?
Answer:
Vasantha spent the day exploring the ship.

Question 4.
Was Vasantha thrilled about the upcoming storm?
Answer:
Yes, she was thrilled when she got the news about the storm.

Question 5.
Who was Vasantha’s class teacher?
Answer:
Vasantha’s class teacher was an English woman.

Question 6.
Did the storm break in the evening?
Answer:
No, the storm did not break in the evening.

Question 7.
How many life-boats moved towards the man who fell into the sea?
Answer:
Two life – boats moved towards the man who fell into the sea.

Question 8.
How was the captain of the ship watching the rescue operations?
Answer:
The captain was watching the rescue operations through a pair of binoculars.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 9.
Who was waiting at the railings for the rescued man?
Answer:
The ship’s doctor, with two nurses, was waiting for the rescued man.

Question 10.
What was inscribed on the model of the ship given as a present to Vasantha?
Answer:
“B.I.S.N. & Co. S.S. RAJULA” was inscribed on the model of the ship.

V. Short Questions with Answers.

Question 1.
What was there inside the ship?
Answer:
There were furnished rooms, a swimming pool, a room for indoor games and a library.

Question 2.
What did the captain of the ship inform the passengers the next day?
Answer:
The captain informed the passengers that they had received a message that a storm was likely to form in the Indian Ocean.

Question 3.
Why did the old lady prayed aloud?
Answer:
An old lady prayed aloud to have mercy on all of them. Her son was waiting for her in Singapore.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

Question 4.
What did her class teacher tell her students one day?
Answer:
Her class teacher told them that she was crossing the English channel on her way to Singapore. Then there was a big storm near Gibraltar. Their ship rocked to and fro. Everything in the cabins rolled up and down. Even the heavy pianos went crashing against the walls.

Question 5.
What was the man doing at the railings?
Answer:
The man was almost vomiting over the rails. He looked rather blue about the mouth.

VI. Paragraph Question with Answer.

Question 1.
What was the present given to Vasantha by the captain? How did Vasantha feel about this?
Answer:
The captain gave a big brown box to Vasantha, appreciating her sense of immediate action. She opened the box. On a velvet backing, was a most beautiful model of a ship. On it, was inscribed the letters “B.I.S.N. & Co. S.S. RAJULA.” Vasantha felt very happy. She threw her hands round the captain, hugged and [ kissed him. He patted her cheek and went away. Vasantha proudly showed her present to everyone she met. She was the happiest person on board that day.

VII. Rearrange the fumbled Sentences.

A.
1. The ship slowly moved out of Madras harbour.
2. It was a new experience for me.
3. I was thrilled to be on board a ship.
4. I waved to my grandparents till I could see them no more.
5. I stood on the deck of S. S. Rajula.
Answer:
5. I stood on the deck of S. S. Rajula.
1. The ship slowly moved out of Madras harbour.
4. I waved to my grandparents till I could see them no more.
3. I was thrilled to be on board a ship.
2. It was a new experience for me.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

B.
1. Huge waves were dashing against it.
2. The storm didn’t break. .
3. Even though the deck was slippery, I was running around.
4. But in the evening, a strong wind started blowing.
5. The ship rocked to and fro, rocking and rolling to the music of the wind.
Answer:
2. The storm didn’t break.
4. But in the evening, a strong wind started blowing.
5. The ship rocked to and fro, rocking and rolling to the music of the wind.
1. Huge waves were dashing against it.
3. Even though the deck was slippery, I was running around.

C.
1. The crew in the rescue boats threw a strong rope to the two sailors in the sea and shouted ‘catch’.
2. I borrowed the captain’s binoculars.
3. Then, with powerful strokes, they swam towards uncle.
4. Both of them were good swimmers and soon had caught hold of the rope.
5. Now I could see the rescue operation clearly.
Answer:
2. I borrowed the captain’s binoculars.
5. Now I could see the rescue operation clearly.
1. The crew in the rescue boats threw a strong rope to the two sailors in the sea and , shouted’catch’.
4. Both of them were good swimmers and soon had caught hold of the rope.
3. Then, with powerful strokes, they swam towards uncle.

VIII. Read the passage and answer the questions.

A.
The next morning the passengers were seated in the dining hall, having breakfast. The loudspeaker spluttered noisily and then the captain’s voice came loud and clear. “Friends we have just received a message that a storm is brewing in the Indian Ocean.

Question 1.
Where were the passengers seated?
Answer:
There were seated in the dining room.

Question 2.
What splattered noisily?
Answer:
The loudspeaker splattered noisily.

Question 3.
Where was the storm brewing?
Answer:
The storm was brewing in the Indian Ocean.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

B.
When he turned away, I quietly sneaked into the hospital room to see what they were doing to the patient. Two nurses were hurrying to and fro with trays full of medicines and syringes. Another was rushing off with Uncles wet clothes.

Question 1.
Who sneaked into the hospital?
Answer:
Vasantha sneaked into the hospital?

Question 2.
How many nurses were helping the doctor?
Answer:
Three nurses were helping the doctor.

Question 3.
What did two nurses carry with them?
Answer:
They were carrying trays full of medicines and syringes.

Samacheer Kalvi 7th English Solutions Term 3 Supplementary Chapter 2 Man Overboard

C.
I followed the officer eagerly. He left me outside the captains door, saying, “Go right inside.” I knocked and entered. The captain was standing in the middle of the room. When he saw me, he came forward and literally swept me off my feet. He was still smiling when he put me down.

Question 1.
What did Vasantha do?
Answer:
She followed the officer eagerly.

Question 2.
Where was the captain standing?
Answer:
The captain was standing in the middle of the room.

Question 3.
What did the captain do, when he saw her?
Answer:
When he saw her, he came forward and literally swept her off her feet.

Man Overboard Summary

Vasantha was on board a ship called ‘S.S. Rajula’. She was travelling to Singapore, after
her stay with her grandparents. She spent the day exploring the ship. It looked like a big house. sdThere were furnished rooms, and swimming pool, a room for indoor games and a library. The | next day morning, the captain announced that they had received a message about a storm in the Indian Ocean. Most of the adults panicked. But Vasantha was excited about it. She remembered 1 her class teacher telling them in class about a big storm. The teacher was on her way to Singapore.
Due to the storm, the ship rocked to and fro. Everything in the cabins rolled up and down. This 1 incident, which was told by her class teacher, made her imagination run wild. She thought it would; be fun, if the storm broke when they had lunch. It would be a merry-go-round to all of them sitting on the chairs.

In the evening, a strong wind started blowing. The ship rocked to and fro. Huge waves were dashing against it. She noticed a man vomiting over the rails and looked rather blue about the mouth. A huge wave lashed the ship and the man tumbled over the railings into the wild sea. Vasantha shouted to save him. The captain heard this and sent the rescue team officers to save the man. Two life-boats moved towards the man. The captain was watching the rescue operation through a pair of binoculars. Vasantha could not see what was happening, as the boat was too far for her. But the captain was giving a running commentary to Vasantha.

The ship had dropped the anchor but was rising up and down. The two sailors caught hold of a rope. One of them tied the rope around his waist. With the man between them, the sailors swam back to the life-boats. The boat headed back to the ship. The ship’s doctor was ready at the railings with two nurses and a stretcher. The man was given immediate attention to improve his condition. A nurse told Vasantha that he was saved and would regain consciousness after a few minutes. The capt ain called Vasantha to his cabin and gifted her with a beautiful model of a ship. On it was inscribed “B.I.S.N. & Co. S.S. RAJULA.” She felt happy. She hugged and kissed the captain. She proudly showed the present to everyone. She was the happiest person on board that day.

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

Students can Download Maths Chapter 3 Algebra Ex 3.3 Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

Miscellaneous Practice problems

Question 1.
Using identity, find the value of
(i) (4.9)2
(ii) (100.1)2
(iii) (1.9) × (2.1)
Solution:
(i) (4.9)2
(4.9)2 = (5 – 0.1)2
Substituting a = 5 and b = 0.1 in
(a – b)2 = a2 – 2ab + b2, we have
(5 – 0.1)2 = 52 – 2(5) (0.1) + (0.1)2
(4.9)2 = 25 – 1 + 0.01 = 24 + 0.01
(4.9)2 = 24.01

(ii) (100.1)2
(100.1)2 = (100 + 0.1)2
Substituting a = 100 and b = 0.1 in
(a + b)2 = a2 + 2ab + b2, we have
(100 + 0.1)2 = (100)2 + 2(100) (0.1) + (0.1)2
(100.1)2 = 10000 + 20 + 0.01
(100.1)2 = 10020.01

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

(iii) (1.9) × (2.1)
(1.9) × (2.1) = (2 – 0.1) × (2 + 0.1)
Substituting a = 100 and b = 0.1 in
(a – b) (a + b) = a2 – b2 we have
(2 – 0.1) (2 + 0.1) = 22 – (0.1)2
(1.9) × (2.1) = 4 – 0.01
(9.9) (2.1) = 3.99

Question 2.
Factorise: 4x2 – 9y2
Solution:
4x2 – 9y2 = 22 x2 – 32 y2 = (2x)2 – (3y)2
Substituting a = 2x and b = 3y in
(a2 – b2) = (a + b) (a – b), we have
(2x)2 – (3y)2 = (2x + 3y) (2x – 3y)
∴ Factors of 4x2 – 9y2 are (2x + 3y) and (2x – 3y)

Question 3.
Simplify using identities
(i) (3p + q) (3p + r)
(ii) (3p + q) (3p – q)
Solution:
(i) (3p + q) (3p + r)
Substitute x = 3p,a = q and b = r in
(x + a) (x + b) = x2 + x(a + b) + ab
(3p + q)(3p + r) = (3p)2 + 3p (q + r) + (q × r)
= 32 p2 + 3p (q + r) + qr
(3p + q)(3p + r) = 9p2 + 3p(q + r) + qr

(ii) (3p + q) (3p – q)
Substitute a = 3p and b = q in
(a + b) (a – b) = a2 – b2, we have
(3p + q) (3p – q) = (3p)2 – q2 = 32 p2 – q2
(3P + q) (3p – q) = 9p2 – q2

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

Question 4.
Show that (x + 2y)2 – (x – 2y)2 = 8xy.
Solution:
LHS = (x + 2y)2 – (x – 2y)2
= x2 + (2 × x × 2y) + (2y)2 – [x2 – (2 × x × 2y) + (2y)2]
= x2 + 4xy + 4y2 – [x2 – 4xy + 22y2]
= x2 + 4xy + 4y2 – x2 + 4xy – 4y2
= x2 – x2 + 4xy + 4xy + 4y2 – 4y2
= x2 (1 – 1) + xy (4 + 4) + y2 (4 – 4)
= 0x2 + 8xy + 0y2 = 8xy = RHS
∴ (x + 2y)2 – (x – 2y)2 = 8xy
[∵ (a + b)2 = a2 + 2ab + b2 (a – b)2 = a2 – 2ab + b2]

Question 5
The pathway of a square paddy field has 5 m width and length of its side is 40 m. Find the total area of its pathway. (Note: Use suitable identity)
Solution:
Given side of the square = 40 m
Also width of the pathway = 5 m
∴ Side of the larger square = 40m + 2(5)m = 40m + 10m = 50m
Area of the path way = area of large square – area of smaller square
= 502 – 402
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3 1
Substituting a = 50 and b = 40 in
a2 – b2 = (a + b) (a – b) we have
502 – 402 = (50 + 40) (50 – 40)
Area of pathway = 90 × 10
Area of the pathway = 900 m2

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

Challenge Problems

Question 1.
If X = a2 – 1 and Y = 1 – b2, then find X + Y and factorize the same.
Solution:
Given X = a2 – 1
Y = I – b2
X + Y = (a2 – 1) + (1 – b2)
= a2 – 1 + 1 – b2
We know the identity that a2 – b2 = (a + b) (a – b)
∴ X + Y = (a + b) (a – b)

Question 2.
Find the value of (x – y) (x + y) (x2 + y2).
Solution:
We know that (a – b) (a + b) = a2 – b2
Put a = x and b = y in the identity (1) then
(x – y) (x + y) = x2 – y2
Now (x – y) (x + y)(x2 + y2) = (x2 – y2) (x2 + y2)
Again put a = x2 and b = y2 in (1)
We have (x2 – y2) (x2 + y2) = (x2)2 – (y2)2 = x4 – y4
So (x – y) (x + y) (x2 + y2) = x4 – y4

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

Question 3.
Simplify (5x – 3y)2 – (5x + 3y)2.
Solution:
We have the identities
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2
So (5x – 3y)2 – (5x + 3y)2 = (5x)2 – (2 × 5x × 3y) + (3y)2
= 52x2 – 30xy + 32 y2 – [52x2 – 30xy + 32 y2]
= 25x2 – 30xy + 9y2 – [25x2 + 30xy + 9y2]
= 25x2 – 30xy + 9y2 – 25x2 – 30xy – 9y2
= x2 (25 – 25) – xy (30 + 30) + y2 (9 – 9)
= 0x2 – 60xy + 0y2 = – 60 xy
∴ (5x – 3y)2 – (5x + 3y)2 = -60xy

Question 4.
Simplify : (i) (a + b)2 – (a – b)2
(ii) (a + b)2 + (a – b)2
Solution:
Applying the identities
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2

(i) (a + b)2 – (a – b)2 = a2 + 2ab + b2 – [a2 – 2ab + b2]
= a2 + 2ab + b2 – a2 + 2ab – b2
= a2 (1 – 1) + ab (2 + 2) + b2 (1 – 1)
= 0a2 + 4 ab + 0b2 = 4ab
(a + b)2 – (a – b)2 = 4ab

(ii) (a + b)2 + (a – b)2 = a2 + 2ab + b2 + (a2 – 2ab + b2)
= a2 + 2ab + b2 + a2 – 2ab + b2
= a2 (1 + 1) + ab (2 – 2) + b2 (1 + 1)
= 2a2 + 0 ab + 2b2 = 2a2 + 2b2 = 2 (a2 + b2)
∴ (a + b)2 – (a – b)2 = 2 (a2 + b2)

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

Question 5.
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 m2, find the area of lawn.
Solution:
Let the side of the lawn = a m
then side Of big square = (a + 2(2)) m
= (a + 4)m
Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3 2
Area of the path – Area Of large square – Area of smaller square
136 = (a + 4)2 – a2
136 = a2 + (2 × a × 4) + 42 – a2
136 = a2 + 8a + 16 – a2
136 = 8a + 16
136 = 8 (a + 2)
Dividing by 8
17 = a + 2
Subtracting 2 on both sides
17 – 3 = a + 2 – 2
15 = a
∴ side of small square = 15 m
Area of square = (side × side) Sq. units
∴ Area of the lawn = (15 × 15)m2 = 225 m2
∴ Area of the lawn = 225 m2

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

Question 6.
Solve the following inequalities.
(i) 4n + 7 > 3n + 10, n is an integer
(ii) 6(x + 6) > 5 (x – 3), x is a whole number.
(iii) -13 < 5x + 2 < 32, x is an integer.
Solution:
(i) 4n + 7 > 3n + 10, n is an integer.
4n + 7 – 3n > 3n + 10 – 3n
n(4 – 3) + 7 > 3n + 10 – 3n
n (4 – 3) + 7 > n (3 – 3) + 10
n + 7 > 10
Subtracting 7 on both sides
n + 7 – 7 > 10 – 7
n > 3
Since the solution is an integer and is greater than or equal to 3, the solution will be 3,
4, 5, 6, 7, …..
n = 3, 4, 5, 6,7, ….

(ii) 6 (x + 6) > 5 (x – 3), x is a whole number.
6x + 36 > 5x – 15
Subtracting 5x on both sides
6x + 36 – 5x > 5x – 15 – 5x
x (6 – 5) + 36 > x(5 – 5) – 15
x + 36 > -15
Subtracting 36 on both sides
x + 36 – 36 > -15 -36
x > -51
The solution is a whole number and which is greater than or equal to -51
∴ The solution is 0, 1, 2, 3, 4,…
x = 0,1,2, 3,4,…

Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 3 Algebra Ex 3.3

(iii) -13 < 5x + 2 < 32, x is an integer.
Subtracting throughout by 2
-13 – 2 < 5x + 2 – 2 < 32 – 2
-15 < 5x < 30
Dividing throughout by 5
\(\frac { -15 }{ 5 } \) < \(\frac { 5x }{ 5 } \) < \(\frac { 30 }{ 5 } \)
– 3 < x < 6
∴ Since the solution is an integer between -3 and 6 both inclusive, we have the solution
as -3, -2, -1,0, 1,2, 3, 4, 5, 6.
i.e. x = -3, -2, 0, 1, 2, 3,4, 5 and 6.