Laxmi

Students can Download Maths Chapter 2 Algebra Ex 2.5 Questions and Answers, Notes Pdf, Samacheer Kalvi 8th 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 8th Maths Solutions Term 2 Chapter 2 Algebra Ex 2.5

Miscellaneous Practice Problems

Question 1.
The sum of three numbers is 58. The second numberis three times of two-fifth of the first number and the third number is 6 less than the first number. Find the three numbers.
Solution:
Here what we know
a + b + c = 58 (sum of three numbers is 58)
Let the first number be ‘x’
b = a + 3 (the second number is three times of \(\frac{1}{2}\) of the first number)
b = 3 x \(\frac{2}{5}\)x = \(\frac{6}{5}\)x
Third number = x – 6
Sum of the numbers is given as 58.
∴ x + \(\frac{6}{5}\)x + (x – 6) = 58
Multiplying by 5 throughout, we get
5 × x + 6x + 5 × (x – 6) = 58 x 5
5x + 6x + 5x – 30 = 290
∴ 16x = 290 + 30
∴ 16x = 320
∴ x = \(\frac{320}{16}\)x = 20
Answer:
1st number =20
2nd number = 3 x \(\frac{2}{5}\) x 20 = 24
3rd number = 24 – 6 = 14

Question 2.
In triangle ABC, the measure of ∠B is two third the measure of ∠A. The measure of ∠C is 20° more than the measure of ∠A. Find the measures of the three angles.
Solution:
Let angle ∠A be a°
Given that ∠B = \(\frac{2}{3}\) x ∠A = \(\frac{2}{3}\)a
& given ∠C = ∠A + 20 = a + 20
Since A, B & C are angles of a triangle, they add up to 180° (∆ property)
∠A + ∠B + ∠C = 180°
a + \(\frac{2}{3}\) a + a + 20 = 180°
\(\frac{3a+2a+3a}{3}\) + 20 = 180°
\(\frac{8a}{3}\) = 180 – 20 = 160°

∠C = 80°

Question 3.
Two equal sides of an isosceles triangle are 5y – 2 and 4y + 9 units. The third side is 2y + 5 units. Find y and the perimeter of the triangle.
Solution:
Given that 5y – 2 & 4y + 9 are the equal sides of an isosceles triangle.
The 2 sides are equal

∴ 5y – 4y = 9 + 2 (by transposing)
∴ y = 11
∴ 1st side = 5y – 2 = 5 x 11-2 = 55 – 2 = 53
2nd side = 53
3rd side = 2y + 5 = 2 x 11 + 5 = 22 + 5 = 27
Perimeter is the sum of all 3 sides
∴ P = 53 + 53 + 27 = 133 units

Question 4.
In the given figure, angle XOZ and angle ZOY form a linear pair. Find the value of x.

Solution:
Since ∠XOZ & ∠ZOY form a linear pair,
by property, we have their sum to be 180°
∴ ∠XOZ + ∠ZOY = 180°
3x – 2 + 5x + 6 = 180°
8x + 4 = 180 = 8x = 180 – 4
∴ 8x = 176 ⇒ x = \(\frac{176}{8}\) ⇒ x = 22°
XOZ = 3x – 2 = 3 x 22 – 2 = 66 – 2 = 64°
YOZ = 5x + 6 = 5 x 22 + 6
= 110 + 6 = 116

Question 5.
Draw a graph for the following data:

Does the graph represent a linear relation?
Solution:
Graph between side of square & area

When we plot the graph, we observe that it is not a linear relation.

Challenging Problems

Question 6.
Three consecutive integers, when taken in increasing order and multiplied by 2, 3 and 4 respectively, total up to 74. Find the three numbers.
Solution:
Let the 3 consecutive integers be ‘x’, ’x + 1 & ‘x + 2’
Given that when multiplied by 2, 3 & 4 respectively & added up, we get 74

Simplifying the equation, we get
2x + 3x + 3 + 4x + 8 = 74
9x + 11 = 74
9x = 63 ⇒ x = \(\frac{63}{9}\) = 7
First number = 7
Second numbers = x + 1
Third numbers = x + 2
∴ The numbers are 7, 8 & 9

Question 7.
331 students went on a field trip. Six buses were filled to capacity and 7 students had to travel in a van. How many students were there in each bus?
Solution:
Let the number of students in each bus be ‘x’
number of students in 6 buses = 6 × x = 6x
Apart from 6 buses, 7 students went in van
A total number of students is 331
∴ 6x + 7 = 331
∴ 6x = 331 – 7 = 324
∴ x = \(\frac{324}{6}\) = 54
∴ There are 54 students in each bus.

Question 8.
A mobile vendor has 22 items, some which are pencils and others are ball pens. On a particular day, he is able to sell the pencils and ball pens. Pencils are sold for ₹ 15 each and ball pens are sold at ₹ 20 each. If the total sale amount with the vendor is ₹ 380, how many pencils did he sell?
Solution:
Let vendor have ‘p’ number of pencils & ‘b’ number of ball pens
Given that total number of items is 22
∴ p + b = 22
Pencils are sold for ₹ 15 each & ball pens for ₹ 20 each
total sale amount = 15 x p + 20 x b
= 15p + 20b which is given to be 380.
∴ 15p + 20b = 380
Dividing by 5 throughout,
\(\frac{15p}{5}\) + \(\frac{20b}{5}\) = \(\frac{380}{5}\)
⇒ 3p + 4b = 76
Multiplying equation (1) by 3 we get
3 x 7 + 3 x b = 22 x 3
⇒ 3p + 3b = 66
Equation (2) – (3) gives

∴ b = 10
∴ p = 12
He sold 12 pencils

Question 9.
Draw the graph of the lines y = x, y = 2x, y = 3x and y = 5x on the same graph sheet. Is there anything special that you find in these graphs?
Solution:

1. y = x
2. y = 2x
3. y = 3x
4. y = 5x

1. y = x
When x = 1, y = 1
x = 2, y = 2
x = 3, y = 2

2. y = 2x
When x = 1, y = 2
X = 2, y = 4
X = 3, y = 6

3. y = 3x
when x = 1, y = 3
x = 2, y = 6
x = 3, y = 9

4. y = 5x
When x = 1, y = 5
x = 2, y = 10
x = 3, y = 15

When we plot the alijpve points & join the points to form line, we notice that the lines become progressively steeper. In other words, the slope keeps increasing.

Question 10.
Consider the number of angles of a convex polygon and the number of sides of that polygon. Tabulate as follows:

Use this draw a graph illustrating the relations hip between the number of angles and the number of sides of a polygon.
Solution:
Angles:

You can Download Samacheer Kalvi 9th English Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th English Grammar Prepositional Verbs

Some verbs are usually followed by prepositions before the object of the verb.

Examples:
i. The kids the hilarious antics of the clown.
Answer:
laughed at

ii. Fathima stay at a hotel, when she visited Mumbai.
Answer:
planned to

iii. I have pressing matters to in Kolkata.
Answer:
attend to

iv. I the healing power of a mother’s touch.
Answer:
believe in

v. She was so happy in life that she could not more.
Answer:
ask for

vi. The elderly couple their pets as they do for their children.
Answer:
care for

vii. I everything you’ve said.
Answer:
agree with

Exercises
(i) Frame sentences using the prepositional verbs given in the box.

1. Parents ________ their children whole-heartedly.
Answer:
care for

2. He ________ his father’s forgiveness.
Answer:
asked for

3. I don’t ________ you.
Answer:
agree with

4. Don’t ________ him.
Answer:
laugh at

5. I ________ God.
Answer:
believe in

Choose the correct phrase to complete the sentence.
1. ________ Pongal, we have long holidays.
(a) In spite of (b) Even though (c) On account of

2. My father knows Hindi ________ English.
(a) in addition to (b) on account of (c) in case of

3. ________ her poor health, she did not attend the meeting.
(a) Because of (b) In spite of (c) In the event of

4. ________ walking fast, he missed the train.
(a) In the event of (b) On account of (c) In spite of

5. ________ his riches, he is not happy.
(a) Because of (b) In spite of (c) Owing to

6. ________ the book, I returned it to the library.
(a) Having read (b) Having been reading (c) Having reading

7. ________ his hard work, Mani will pass.
(a) On account of (b) In spite of (c) In the event of

8. ________ it rained, the teams continued to play the match.
(a) In the event of (b) On account of (c) Even though
Answer:
(c) Even though

9. The flights were delayed ________ thick fog.
(a) despite (b) even though (c) due to
Answer:
(c) due to

10. The Kabadi match continued ________ heavy rains.
(a) in the event of (b) in spite of (c) because of

(iii) Given below is a picture of a carnival. Complete filling in the blanks with appropriate prepositions.

Fairs and festivals form an integral part of the culture of Tamil Nadu. They are an excellent platform to promote and preserve the vibrant art and culture of the Tamils.

A thiruvizha is a source of excitement and thrill for villagers. The village thoroughfare wears a festival look, as the open spaces are cleaned, spruced up and decorated (a) ________ colorful streamers.

People throng the premises (b) ________ catch a glimpse (c) ________ their village deity (d) ________ a magnificently decorated chariot, and pay their respects. There is a big crowd (e) ________the food stalls that serve free piping hot sakkarai pongal (sweet pongal), lemon rice and curd rice.

People (f) ________ nearby villages and towns display their wares attractively, and call out loudly (g) ________ the people (h) ________ buy their wares. Cotton candy, cut raw mangoes smothered (i) ________ salt and chilly powder, boiled groundnuts, murukku, sweets, buttermilk, etc are sold. Men, women, grandmas, grandpas, and little children, dressed (j) ________ their best clothes, enjoy the Thiruvizha greatly.

You can hear the shrieks (k) ________ happy children enjoying the rides on Ferris wheels and carousels, elders looking (l) ________ each other with smiles on their faces.

The entire day is spent (m) ________ fun and gaiety. All the village people irrespective of their age, look forward (n) ________ the thiruvizha every year.
Answers:
(a) with (b) to (c) of (d) on (e) in (f) from (g) to (h) to (i) with (j) in (k) of (l) at (m) in (n) to

You can Download Samacheer Kalvi 9th English Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th English Grammar Preposition

Prepositions are short words (on, in, to) that usually stand in front of nouns (sometimes also in front of gerund verbs).

There are hardly any rules as to when to use which preposition. The only way to learn prepositions is looking them up in a dictionary, reading a lot in English and learning useful phrases by heart.

The following table contains rules for some of the most frequently used prepositions in English:

Prepositions – Place Position And Direction

Other Important Prepositions

List Of Prepositions
While there are only about 150 prepositions in the English language, these words are among the most important. Without them, the sentences we speak, read, and write would be difficult to understand. The following list of prepositions is not a complete one, however, it is among the most comprehensive lists of prepositions available anywhere.

Exercises
(i) Fill the gap with the correct prepositions.
1. We live Chennai.
Answer:
in

2. Would you like to go the library?
Answer:
to

3. No, thanks. I was the library yesterday.
Answer:
at

4. We are going a holiday next week.
Answer:
on

5. There is a bridge the river.
Answer:
across

6. The train Chennai Madurai is the station.
Answer:
from, to, in

7. my wall, there are many picture postcards.
Answer:
on

8. Who is the person in this picture?
Answer:
in

9. Come the hall, we shall watch TV.
Answer:
into

10. Elgin lies 530 meters sea level.
Answer:
above

11. The bone was the dog.
Answer:
for

12. We are going on vacation August.
Answer:
on, in

13. Please put the vase the table.
Answer:
on

14. received a present Janaki.
Answer:
from

15. School begins Monday.
Answer:
on

(ii) Complete the exercise with appropriate prepositions.
1. Compare your answers your partner.
Answer:
with

2. This key holder is very special me.
Answer:
for

3. Apples and oranges are the same box.
Answer:
in

4. Write me soon.
Answer:
to

5. Have you got a piece paper?
Answer:
of

6. What’s the calculator for? It is my exam.
Answer:
for

7. I’m tall black hair and brown eyes.
Answer:
with

8. We have a house a big backyard.

9. I come a big family.
Answer:
with

10. Match the pictures the names.
Answer:
from

11. Is your house the country?
Answer:
with

12. Guess what I have my hand?
Answer:
in

13. I have to color pens. what you?
Answer:
about

(iii) Fill in the prepositions.
1. The cat hid the door.
(a) behind (b) under (c) on
Answer:
(a) behind

2. Mv uncle will visit me May.
(a) at (b) in (c) on
Answer:
(b) in

3. Wait there I come.
(a) behind (b) until (c) near
Answer:
(b) until

4. Hang the charts the wall.
(a) in (b) on (c) by
Answer:
(b) on

5. I have been practicing morning.
(a) by (b) for (c) since
Answer:
(c) since

6. The baby has been sleeping for a long time.
(a) for (b) since (c) at
Answer:
(a) for

7. The work will be over this evening.
(a) on (b) by (c) in
Answer:
(b) by

8. We could not get help anyone.
(a) from (b) till (c) in
Answer:
(a) from

9. The ladder is placed the wall.
(a) on (b) upon (c) against
Answer:
(c) against

10. The people stood the road to watch the procession go by.
(a) across (b) along (c) on
Answer:
(b) along

Students can Download Maths Chapter 3 Algebra 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 2 Chapter 3 Algebra Additional Questions

Additional Questions and Answers

Exercise 3.1

Question 1.
Simplify the following and write the answer in Exponential form.
(i) 3² × 3⁴ × 3⁸
(ii) 6¹⁵ ÷ 6¹⁰
(iii) a³ × a²
(iv) 7^x × 7²
(v) (5²)³ ÷ 5³
Solution:
(i) 3² × 3⁴ × 3² = 3²⁺⁴⁺⁸ = 3¹⁴ [∵ a^m × aⁿ = a^m+n]
So 3² × 3⁴ × 3² = 3¹⁴
(ii) 6¹⁵ ÷ 6¹⁰ = 6^15-10 = 6⁵ [∵ a^m × aⁿ = a^m-n]
(iii) a³ × a² = a³⁺² = a⁵
(iv) 7^x × 7² = 7^x+2
(v) (5²)³ ÷ 5³ = 5^2×3 ÷ 5³ = 5⁶ ÷ 5³ [∵ (a^m)ⁿ = a^m×n]

Question 2.
Express the following as a product of factors only in exponential form
(i) 108 × 192
(ii) 270
(iii) 729 × 64
(iv) 768
Solution:
(i) 108 × 192
108 = 2 × 2 × 3 × 3 × 3
192 = 2 × 2 × 2 × 2 × 2 × 2 × 3

∴ 108 × 192 = (2 × 2 × 3 × 3 × 3) ×
(2 × 2 × 2 × 2 × 2 × 2 × 3)
= 2⁸ × 3⁴
Thus 108 × 192 = 2⁸ × 3⁴

(ii) 270
We have 270 = 2 × 3 × 3 × 3 × 5

= 2¹ × 3³ × 5¹
= 2 × 3³ × 5
So 270 = 2 × 3³ × 5

(iii) 729 × 64
729 = 3 × 3 × 3 × 3 × 3 × 3
64 = 2 × 2 × 2 × 2 × 2 × 2

729 × 64 = (3 × 3 × 3 × 3 × 3 × 3)
× (2 × 2 × 2 × 2 × 2 × 2)
= 3⁶ × 2⁶
∴ 729 × 64 = 3⁶ × 2⁶

(iv) 768
We have 768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3

= 2⁸ × 3¹
= 2⁸ × 3
Thus 768 = 2⁸ × 3

Question 3.
Identify the greater number, wherever possible in each of the following.
(i) 5³ or 3⁵
(ii) 2⁸ or 8²
(iii) 100² or 2¹⁰⁰⁰
(iv) 2¹⁰ or 10²
Solution:
(i) 5³ or 3⁵ 5³ = 5 × 5 × 5 = 125
3⁵ = 3 × 3 × 3 × 3 × 3 = 243
243 > 125 ∴ 3⁵ > 5³

(ii) 2⁸ or 8² 2⁸ = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256
8² = 8 × 8 = 64
256 > 64 ∴ 2⁸ > 8²

(iii) 100² or 2¹⁰⁰⁰
We have 100² = 100 × 100 = 10000
2¹⁰⁰ = (2¹⁰)¹⁰ = (2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)¹⁰
= (1024)¹⁰ = [(1024)²]⁵
= (1024 × 1024)⁵ = (1048576)⁵
Since 1048576 > 10000
(1048576)⁵ > 10000
i.e., (1048576) > 100²
(2¹⁰)¹⁰ > 100²
2¹⁰⁰ > 100²

(iv) 2¹⁰ or 10²
We have 2¹⁰ = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024
10² = 10 × 10 = 100
Since1 1024 > 100
2¹⁰ > 10²

Exercise 3.2

Question 1.
Find the unit digit of the following exponential numbers.
(i) 255²²³
(ii) 8111¹⁰⁰⁰
(iii) 4866⁴³¹
Solution:
(i) 255²²³
Unit digit of base 255 is 5 and power is 223.
Thus the unit digit of 255²²³ is 5.

(ii) 8111¹⁰⁰⁰
Unit digit of base 8111 is 1 and power is 1000.
Thus the unit digit of 8111¹⁰⁰⁰ is 1.

(iii) 4866⁴³¹
Unit digit of base 4866 is 6 and power is 431.
Thus the unit digit of 4866⁴³¹ is 6.

Question 2.
Find the unit digit of the numbers
(i) 1844⁶⁷¹
(ii) 1564¹⁰⁰
Solution:
(i) 1844⁶⁷¹
Unit digit of base 1844 is 4 and the power is 671 (odd power)
Therefore unit digit of 1844⁶⁷¹ is 4

(ii) 1564¹⁰⁰
Unit digit of base 1564 is 4 and the power is 100 (even power)
Therefore unit digit of 1564¹⁰⁰ is 6.

Question 3.
Find the unit digit of the numbers
(i) 999²²²
(ii) 1549⁷⁷⁷
Solution:
(i) 999²²²
Unit digit of base 999 is 9 and the power is 222 (even power).
Therefore, unit digit of 999²²² is 1.

(ii) 1549⁷⁷⁷
Unit digit of base 1549 is 9 and the power is 777 (odd power).
Therefore, unit digit of 1549⁷⁷⁷ is 9.

Question 4.
Find the unit digit of 1549¹⁰¹ + 6541²⁰
Solution:
1549¹⁰¹ + 6541²⁰
In 1549¹⁰¹, the unit digit of base 1549 is 9 and power is 101 (odd power).
Therefore, unit digit of the 1549¹⁰¹ is 9.
In 6541²⁰, the unit digit of base 6541 is 1 and power is 20 (even power).
Therefore, unit digit of the 6541²⁰ is 1.
∴ Unit digit of 1549¹⁰¹ + 6541²⁰ is 9 + 1 = 10
∴ Unit digit of 1549¹⁰¹ + 6541²⁰ is 0.

Exercise 3.3

Question 1.
Find the degree of the following polynomials.
(i) x⁵ – x⁴ + 3
(ii) 2 – y⁵ – y³ + 2y⁸
(iii) 2
(iv) 5x³ + 4x² + 7x
(v) 4xy + 7x²y + 3xy³
Solution:
(i) x⁵ – x⁴ + 3
The terms of the given expression are x⁵, -x⁴, 3.
Degree of each of the terms : 5, 4, 0
Term with highest degree: x⁵
Therefore degree of the expression in 5.

(ii) 2 – y⁵ – y³ + 2y⁸
The terms of the given expression are 2, -y⁵ ,-y³, 2y⁸.
Degree of each of the terms : 0, 2, 3, 8.
Term with highest degree: 2y⁸
Therefore degree of the expression in 8.

(iii) 2
Degree of the constant term is 0.
∴ Degree of 2 is 0.

(iv) 5x³+ 4x² + 7x
The terms of the given expression are 5x³, 4x², 7x
Degree of each of the terms : 3, 2, 1
Term with highest degree: 5x³
Therefore degree of the expression in 3.

(v) 4xy + 7x²y + 3xy³
The terms of the given expression are 4xy , 7x²y, 3xy³
Degree of each of the terms : 2, 3, 4
Term with highest degree: 3xy³
Therefore degree of the expression in 4.

Question 2.
State whether a given pair of terms in like or unlike terms.
(i) 1,100
(ii) -7x,\(\frac { 5 }{ 2 } \)x
(iii) 4m²p, 4mp²
(iv) 12xz, 12x²z²
Solution:
(i) 1, 100 is a pair of like terms. [∵ 1 = x⁰ and 100 = 100 x⁰]
(ii) -7x, \(\frac { 5 }{ 2 } \)x is a pair of like terms.
(iii) 4m²p, Amp is a pair of unlike terms.
(iv) 12xz, 12x²z² is a pair of unlike terms.

Question 3.
Subtract 5a² – 7ab + 5b² from 3ab – 2a² – 2b² and find the degree of the expression
Solution:
(i) We have (3ab – 2a² – 2b²) – (5a² – 7ab + 5b²)
= 3ab – 2a² – 2b² – 5a² + 7ab – 5b²
= (3ab + 7ab) + (- 2 – 5)a² + (- 2 – 5)b²
= 10 ab + (-7)a² + (-7)b²
= 10ab – 7a² – 7b²
Degree of the expression is 2.

Question 4.
Add x² – y² -1,y² – 1 – x², 1 – x² – y² and find the degree of the expression.
Solution:
We have (x² – y² – 1) + (y² – 1 – x²) + (1 – x² – y²)
= x² – y² – 1 + y² – 1 – x² + 1 – x² – y²
= (x² – x² – x²) + (-y² + y² – y²) + (- 1 – 1 + 1)
= (1 – 1 – 1)x² + (- 1 + 1 – 1)y² + ( – 2 + 1)
= (- 1) x² + (- 1)y² + (-1) = – x² – y² – 1
Degree of the expression is 2.

Question 5.
Find the degree of the terms
(i) x²
(ii) 4xyz
(iii) \(\frac{7 x^{2} y^{4}}{x y}\)
(iv) \(\frac{x^{2} \times y^{2}}{x \times y^{2}}\)
Solution:
We have
(i) x²
The exponent in x² is 2. ∴ Degree of the term is 2.

(ii) 4xyz
In 4xyz the sum of the powers of x, y and z as 3.

(iii) \(\frac{7 x^{2} y^{4}}{x y}\)
We have \(\frac{7 x^{2} y^{4}}{x y}\) = 7x^2-1 y^4-1 = 7x¹y³ [Since \(\frac{a^{m}}{a^{n}}\) = am-n]
In 7 x¹ y³ the sum of the poweres of x and y is 4(1 + 3 = 4)
Thus degree of the expression is 4.

(iv) \(\frac{x^{2} \times y^{2}}{x \times y^{2}}\)
We have \(\frac{x^{2} \times y^{2}}{x \times y^{2}}\) = x^2-1 y^2-2 = x¹ y⁰ = x¹ [∵ y⁰ = 1]
The exponent of the expression is 1.

You can Download Samacheer Kalvi 9th English Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th English Vocabulary Anagrams

An Anagram is a word or a phrase formed by rearranging the letters of a different word or phrase, typically using all the original letters exactly once.

Exercise
Write an anagram for the words given
1. Write an anagram for the word ‘ripples’.
Answer:
slipper

2. Write an anagram for the word ‘talks’.
Answer:
stalk

3. Write an anagram for the word ‘tough’.
Answer:
ought

4. Write an anagram for the word ‘trams’.
Answer:
smart

5. Write an anagram for the word ‘times’.
Answer:
items

6. Write an anagram for the word ‘there’.
Answer:
three

You can Download Samacheer Kalvi 9th English Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th English Vocabulary Prefix / Suffix

Prefixes are added to the beginning of a root word while suffixes are added to the end.
Prefixes

Exercises
Write the root word for the suffixes.
1. Write the root word for the suffix ‘ment’
Answer:
immobile

2. Write the root word for the suffix ‘al’.
Answer:
unnatural

3. Write the root word for the suffix ‘ful’.
Answer:
ignoble

4. Write the root word for the suffix ‘less’.
Answer:
misplaced

5. Write the root word for the suffix ‘ive’.
Answer:
enclose, encircle

6. Write the root word for the suffix ‘ian’.
Answer:
irrelevant

Suffixes

Exercises
Write the root word for the suffixes.
1. Write the root word for the suffix ‘ment’.
Answer:
development

2. Write the root word for the suffix ‘al’.
Answer:
approval

3. Write the root word for the suffix ‘ful’.
Answer:
painful

4. Write the root word for the suffix ‘less’.
Answer:
careless

5. Write the root word for the suffix ‘ive’.
Answer:
attract

6. Write the root word for the suffix ‘ian’.
Answer:
electrician. musician

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Tamilnadu Samacheer Kalvi 9th English Vocabulary Homonyms, Homophones

Homonyms:
Homonyms are words with similar sound and spelling, but with a different meaning.

Homophones:
Homophones are words with similar sounds but with different spelling and meaning.

Exercises
Write the homophones of the following word.
1. Write the homophone for the word for ‘loan’.
Answer:
lone

2. Write the homophone for the word for ‘were’.
Answer:
wear, where

3. Write the homophone for the word for ‘die’.
Answer:
dye

4. Write the homophone for the word for ‘allowed’.
Answer:
aloud

5. Write the homophone for the word for ‘bare’.
Answer:
bear

6. Write the homophone for the word for ‘son’.
Answer:
sun

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Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 2 Chapter 2 Algebra Additional Questions

Question 1.
A bus runs constantly at a speed of 60 km/hr. Draw a time-distance graph for the situation. Also find the

1. Time taken to cover 360 km.
2. Distance covered in 4\(\frac{1}{2}\) hours.

Solution:
Given the bus runs constantly at a speed of 60 km/hr.
i.e. for 1 hour = 60 km
2 hours = 2 x 60 = 120 km
3 hours = 3 x 60 = 180 km
We can tabulate as below,

Take a suitable scale:

1. Mark the number of hours on the x – axis
2. Mark the distance in km on the y – axis
3. Plot the points (1, 60), (2,120), (3, 180), (4, 240) and (5, 300)
4. Join the points and get a straight line from the graph.
   • Time taken to cover 360 km is 6 hours.
   • Distance covered in 4\(\frac{1}{2}\) hours is

Question 2.
A company dealing with finance gives 15% simple interest on deposits made by senior citizens. Illustrate by a graph the relation between the deposit and the interest gained. Use the graph to complete the following.

1. The annual interest obtainable for investment of ₹ 450
2. The amount a senior citizen has to invest to get an annual simple interest of ₹ 100.

Solution:
Using the formula for calculating the simple interest, the following table of values is prepared.


These are the points to be plotted in the graph sheet, let us take the deposits along x – axis and annual simple interest along y – axis.
We choose the scale as follows.
Then we plot the points and draw the straight line.
From the graph we find.

1. Corresponding to ₹ 450 on the x – axis, we get the interest as ₹ 67.5 on the y – axis.
2. Corresponding to ₹ 100 on the y – axis we get the deposit as ₹ 666 on the x – axis.

Question 3.
The following table gives the quantity of petrol and its cost

Plot the graph.
Solution:

1. Take a suitable scale on both the axes. Here we take on the x – axis
   1 cm = 1 litre, on the y axis 1 cm = 70 rupees.
2. Mark number of litres of petrol along the x – axis
3. Mark the cost of petrol along the y – axis.
4. Plot the points (1, 70), (2, 140), (3, 210), (4, 280), (5, 350), (6, 420) and (7,490)
5. Join the points.

The graph can help us to estimate few more things also.

You can Download Samacheer Kalvi 9th English Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th English Matching Slogans with Products

Match the following products and slogans appropriately :

Answer:
(a) A sparkling smile
(b) The magic of words
(c) A new style in cooking
(d) Cool and pleasant
(e) Add taste

Answer:
(a) Sharpen your knowledge
(b) Paint your world
(c) Smooth flooring
(d) Browse into the world
(e) Refresh yourself

3. (a) Tata Salt – remain cool
(b) Shampoo – the sports man’s magazine
(c) AC – water purification
(d) Sports star – adds taste
(e) Aqua guard – Leaves your hair smooth and silky
Answer:
(a) adds taste
(b) Leaves your hair smooth and silky
(c) remain cool
(d) the sports man’s magazine
(e) water purification

4. (a) Ointment – kitchen mate
(b) Computer – a comfortable sole
(c) Shoes – flawless writing
(d) Bail-point pen – key to knowledge
(e) Mixer grinder – smooth cure
Answer:
(a) smooth cure
(b) key to knowledge
(c) a comfortable sole
(d) flawless writing
(e) kitchen mate

5. (a) Healthdrink – Click for a flick
(b) Switches – Warmth for hours
(c) Steel rods – Tuck yourself into safety
(d) Hot packs – keeps you light and brisk
(e) Seat belts – Long and strong
Answer:
(a) keeps you light and brisk
(b) Click for a flick
(c) Long and strong
(d) Warmth for hours
(e) Tuck yourself into safety

You can Download Samacheer Kalvi 9th English Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th English General Comprehension

A few practical hints to help you do activities under reading comprehension passages:

1. Read the passage carefully and try to grasp its main theme.
2. Pay attention to the meanings of words (connotation), phrases and sentences.
3. Grasp the manner in which the writer has developed his ideas and thoughts.
4. Read all the questions in the sequence and conceptualize the answers.
5. Read the passage again focusing on the content and answer the questions appropriately. Find accurate solutions for vocabulary exercises too.
6. Go through your answers to check spelling, punctuation, and grammar.

Exercises
1. Read the following passage carefully and answer the questions that follow:
It was four years ago, in the month of October. One night the earth quaked. Yes tremors are common in these parts. These snows may seem eternal, the Himalayas may look solid, but the truth is, deep down they are unstable. We, who live here, are accustomed to tremors. But what happened that night was more than that. It was a terrible earthquake. Its effects were felt as far away as Delhi and Lucknow.

Questions :
1. When did the earthquake occur?
2. What is common in these parts?
3. What is the truth about Himalayas?
4. Where did they feel the effect?
5. How was the earthquake?
Answer:
1. It occurred four years ago in the month of October.
2. Tremors are common ¡n these parts.
3. Himalayas may look solid and eternal, but deep down, they are unstable.
4. They felt the effect in Delhi and Lucknow.
5. The earthquake was a terrible one.

Read the following patiage carefully and answer the questions that follow:
Some insects are harmful to human beings. The poison of the black widow spider causes unbearable pain. It stiffens the muscles of the abdomen and causes death to some of the victims. Some kinds of mosquitoes carry germs that cause diseases such as malaria, yellow fever and sleeping sickness. The mosquitoes pick up the germs and pass them on to the people they bite. Flies play a part in spreading such diseases as cholera, dysentery and typhoid fever. All insects which carry germs and spread diseases live and breed only in dirty places. So we can prevent such diseases if we keep our houses free of dirt.

Questions:
1. How harmful is the bite of the black widow spider?
2. What are the diseases caused by mosquitoes?
3. How do mosquitoes play a part in spreading diseases?
4. Why are flies harmful to us?
5. What is the necessity of keeping our surroundings clean?
Answer:
1. The poison from the bite of the black widow spider causing unbearable pain, stiffens the muscles of the abdomen, causing death to some of its victims.
2. Mosquitoes can cause diseases such as malaria, yellow fever and sleeping sickness.
3. Mosquitoes pick up germs and pass them on to people they bite.
4. Flies, too, can spread diseases such as cholera, dysentery and typhoid fever.
5. When we keep our surroundings clean, we keep off insects which live and breed in dirty places. A clean place will be free of dirt, free of insects and therefore free of diseases

3. Read the following passage carefully and answer the questions that follow :
Hockey is the national game of India. It had a glorious past in India. The Indian Hockey Team had won six consecutive Olympics. But its present condition is dismal, because hockey is not being given much importance. Still the banner of hockey is held aloft, thanks to the two great players Dhyan Chand and Dhanraj Pillai.

Questions :
1. Which is the national game of India?
2. State the condition of the game in the past.
3. What is the condition of the game now?
4. Why is it so?
5. Who are the two great Indian hockey players mentioned in the passage?
Answer:
1. Hockey is the national game of India.
2. It had a glorious past. The Indian Hockey Team had won six consecutive Olympics.
3. Its present condition is dismal, because hockey is not being given much importance.
4. Most people interested in games such as cricket, tennis are not interested in hockey.
5. Dhyan Chand and Dhanraj Pillai.

4. Read the following passage carefully and answer the questions that follow :
A patriot is a man who loves his country, works for it, and is willing to fight and die for it. Every soldier is bound to do his duty, but the best soldiers do more than this, They risk their lives because they love the country they are fighting for. They love its hills and valleys, its cities and villages, its people and their way of life and they are willing to defend it to the last against enemies who try to conquer it and destroy it.

Questions:
(a) ‘Risk’ means
(i) miss (ii) lose (iii) endanger (iv) meet
(b) Who is a patriot?
(c) What do the best soldiers do?
(d) Why do they risk their lives?
(e) What do they love?
Answer:
(a) (iii) endanger
(b) A patriot is a man who loves his country, works for it, and is willing to fight and die for it.
(c) The best soldiers risk their lives.
(d) They risk their lives because they lvoe the country they are fighting for.
(e) They love its hills and valleys, its cities and villages, its people and their way of life.

5. Read the following passage carefully and answer the questions that follow :
When you make a promise, keep it, even if it costs you more than you expected or you have to work much longer on it than you intended. Promise leads to expectation, and expectation leads to prediction. When predictions fail we feel a loss of control. A Promise seeks trust and bonds people together. Some people make promises too easily. They agree to actions without knowing whether they will be able to keep the promise. Saying ‘Yes’ is socially easier than refusal but can lead to disappointment and decrease in trust.

Questions :
How can you keep up your promise?
Which bonds people make together?
How do some people make promise?
Is it easy to say ‘no’?
What will happen when you fail in your promise?
Answer:
1. We can keep up our promise, without bothering the cost effect involved or working much longer on it than we intended.
2. A promise bonds people together.
3. Some people make promises too easily.
4. No. It is not easy to say‘no’.
5. If we fail in our promise, then, that will lead to disappointment and decrease in trust.