Category: Class 6

Students can download Maths Chapter 2 Introduction to Algebra Ex 2.3 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 2 Introduction to Algebra Ex 2.3

Miscellaneous Practice Problems

Question 1.
Complete the following pattern.
9 – 1 =
98 – 21 =
987 – 321 =
9876 – 4321 =
98765 – 54321 =
What comes next?
Solution:
9 – 1 = 8
98 – 21 = 77
987 – 321 = 666
9876 – 4321 = 5555
98765 – 54321 = 44444
Next will be 987654 – 654321 = 333333

Question 2.
A piece of wire is ‘12s’ cm long. What will be the length of the side if it is formed as
(i) an equilateral triangle.
(ii) a square?
Solution:
(i) An equilateral triangle has 3 equal sides.
Length of the wire = ‘12s’ cm
Length of each side = \(\frac{12 s}{3}\) cm.
Length of each side of the triangle = 4s cm
(ii) A square has four equal sides.
Length of each side \(\frac{12 s}{4}\) cm
Length of each side of the square 3s cm

Question 3.
Identify the value of the shapes and figures in the table given below and verify their addition horizontally and vertically.

Solution:

Question 4.
The table given below shows the results of the matches played by 8 teams in a kabaddi championship tournament.

Find the value of all the variables in the table given above.
Solution:
k = 3, m = 1, n = 10, a = 9, b = 6, c = 4, x = 4, y = 9

Challenging Problems

Question 5.
Gopal is 8 years younger than Karnan. If the sum of their ages is 30, how old is Karnan?
Solution:
Let the age of Kaman be x years
Gopal’s age = x – 8
Ace to the problem, x + x – 8 = 30
2x – 8 = 30
2x = 30 + 8
2x = 38
x = \(\frac{38}{2}\)
x = 19
Age of Kaman = 19 years

Question 6.
The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are give below

(i) How many small size squares are there in each of the rectangles P,Q, R and S?
(ii) Fill in the boxes.

Solution:
(i) P = 2; Q = 8; R = 6; S = 10

Question 7.
Find the variables from the clues given below and solve the crossword puzzle.


Solution:

Students can download Maths Chapter 5 Statistics Ex 5.3 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Ex 5.3

Question 1.
Read the given Bar Graph which shows the percentage of marks obtained by Brinda in different subjects in an assessment test.

Observe the Bar Graph and answer the following questions.
(i) 1 Unit = ………… % of marks on vertical line.
(ii) Brinda has scored maximum marks in …….. subject.
(iii) Brinda has scored minimum marks in …….. subject.
(iv) The percentage of marks scored by Brinda in Science is ……..
(v) Brinda scored 60 % marks in the subject ……..
(vi) Brinda scored 20% more in …….. subject than ……… subject.
Solution:
(i) 10
(ii) Mathematics
(iii) Language
(iv) 65%
(v) English
(vi) Mathematics, Science

Question 2.
Chitra has to buv Laddus in order to distribute to her friends as follows:

Draw a Bar Graph for this data.
Solution:
Distribution of Laddus by Chitra to her friends
Scale : 1 unit = 10 Laddus

Question 3.
The fruits liked by the students of a class are as follows:

Solution:
Draw a bar graph for data this data
Scale 1 unit = 2 fruits

Question 4.
The pictograph below gives the number of absentees on different days of the week in class six. Draw the Bar graph for the same.

Solution:
No of absentees on different days of the week in a class
Scale 1 unit = 2 students

Objective Type Questions

Question 5.
A bar graph can be drawn using
(a) Horizontal bars only
(b) Vertical bars only
(c) Both horizontal bars and Vertical bars
(d) Either horizontal bars or vertical bars
Solution:
(d) Either horizontal bars or vertical bars

Question 6.
The spaces between any two bars in a bar graph
(a) can be different
(b) are the same
(c) are not the same
(d) all of these
Solution:
(b) are the same

Students can download Maths Chapter 5 Statistics Ex 5.2 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Ex 5.2

Question 1.
Fill in the blanks.

(iii) Representation of data by using pictures is known as ………
Solution:
(i) 150
(ii)
(iii) Pictograph

Question 2.
Draw a pictograph for the given data.

(Choose your own suitable scale)
Solution:
Number of computers sold
Scale : 1 Unit = 100 computers

Question 3.
The following table shows the number of tourists who visited the places in the month of May. Draw a pictograph

(Choose your own suitable scale)
Solution:
Number of Tourists who visited the places in the month of May.

Question 4.
The following pictograph shows the number of students playing different games in a school.

Answer the following questions.
(i) Which is the most popular game among the students?
(ii) Find the number of students playing Kabaddi.
(iii) Which two games are played by an equal number of students?
(iv) What is the difference between the number of students playing Kho-Kho and Hockey?
(v) Which is the least popular game among the students?
Solution:
(i) Kabaddi is the most popular game among students.
(ii) There are 11 × 10 = 110 students playing kabaddi.
(iii) Kho-Kho and Hockey are played by an equal number of students.
(iv) Difference is 90 – 90 = 0.
(v) Basketball is the least popular game among students.

Objective Type Questions

Question 5.
The pictorial representation for a phrase is a ____
(a) Picto
(b) Tally mark
(c) Frequency
(d) Data
Solution:
(d) Data

Question 6.
A pictograph is also known as
a) Pictoword
(b) Pictogram
(c) Pictophrase
(d) Pictograph
Solution:
(b) Pictogram

Students can download Maths Chapter 5 Statistics Ex 5.1 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Ex 5.1

Question 1.
Fill in the blanks.

1. The collected information is called ……..
2. An example of Primary data is ………
3. An example of Secondary Data is ……….
4. The tally marks for number 8 in standard form is ………

Solution:

1. Data
2. List of absentees in a class
3. Cricket scores gathered from a website
4. 

Question 2.
Viji threw a die 30 times and noted down the result each time as follows. Prepare a table on the numbers shown using Tally Marks.
1, 4, 3, 5, 5, 6, 6, 4, 3, 5, 4, 5, 6, 5, 2, 4, 2, 6, 5, 5, 6, 6, 4, 5, 6, 6, 5, 4, 1, 1
Solution:

Question 3.
The following list tells colours liked by 25 students. Prepare a table using Tally Marks.

Solution:

Question 4.
The following are the marks obtained by 30 students in a class test out of 20 in Mathematics subject.

Prepare a table using Tally Marks.

Question 5.
The table shows the number of calls recorded by a Fire Service Station in one year.

Complete the table and answer the following questions.
(i) Which type of call was recorded the most?
(ii) Which type of call was recorded the least?
(iii) How many calls were recorded in all?
(iv How many calls were recorded as False Alarms?
Solution:

(i) The call for “Other Fires” was recorded the most
(ii) The call for “Rescues” was recorded the least
(iii) The total of 35 calls was recorded
(iv) There are 7 calls were recorded as False alarm.

Objective Type Questions

Question 6.
The tally marks for the number 7 in standard form is ………

Solution:
(b)

Question 7.

(a) 5
(b) 8
(c) 9
(d) 10
Solution:
(c) 9

Question 8.
The plural form of ‘datum’ is ____
(a) datum
(b) datums
(c) data
(d) dates
Solution:
(c) data

Students can download Maths Chapter 3 Ratio and Proportion Ex 3.5 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 3 Ratio and Proportion Ex 3.5

Miscellaneous Practice Problems

Question 1.
The maximum speed of some of the animals are given below:
the Elephant = 20 km/h; the
Lion = 80 km/h;
the Cheetah =100 km/h
Find the following ratios of their speeds in simplified form and find which ratio is the least?
(i) the Elephant and the Lion
(ii) the Lion and the Cheetah
(iii) the Elephant and the Cheetah
Solution:
(i) The Elephant: the Lion
= 20 : 80 = \(\frac{20}{80}\) = \(\frac{1}{4}\) = 1 : 4

(ii) the Lion : the Cheetah
= 80 : 100 = \(\frac{80}{100}\) = \(\frac{4}{5}\) = 4 : 5

(iii) the Elephant: the Cheetah
= 20 : 100 = \(\frac{20}{100}\) = \(\frac{1}{5}\) = 1 : 5
The ratio of Elephant to Cheetah is the least.

Question 2.
A particular high school has 1500 students 50 teachers and 5 administrators. If the school grows to 1800 students and the ratios are maintained, then find the number of teachers and administrators.
Solution:
Administrators : teachers : students = 5 : 50 : 1500 = 1 : 10 : 300
If the school grows to 1800 students then 10 parts = teachers
1 part = administrators
300 parts = 1800
1 part = \(\frac{1800}{300}\) = 6
10 parts = 6 × 10 = 60
So, if the school grows to 1800 students the new ratio is administrators : teachers: students
6 : 60 : 1800

Question 3.
I have a box which has 3 green, 9 blue, 4 yellow, 8 orange coloured cubes in it.
(a) What is the ratio of orange to yellow cubes?
(b) What is the ratio of green to blue cubes?
(c) How many different ratios can be formed, when you compare each colour to any one of the other colours?
Solution:
Number of green cubes = 3
Number of blue cubes = 9
Number of yellow cubes = 4
Number of orange cubes = 8
(a) Ratio of orange to yellow cubes \(\frac{\text { Number of orange cubes }}{\text { Number of yellow cubes }}=\frac{8}{4}=\frac{2}{1}=2: 1\)
Ratio of orange to yellow cubes = 2 : 1
(b) \(\frac{\text { Number of green cubes }}{\text { Number of blue cubes }}=\frac{3}{9}=\frac{1}{3}\)
Ratio of green to blue cubes = 1 : 3
(c) The ratios can be Orange : Yellow, Orange: blue, Orange : green, Yellow : Orange, yellow : blue, yellow : green, blue : green, blue : orange, blue : yellow, green : orange, green : yellow, green : blue. Thus 12 ratios can be formed.

Question 4.
A gets double of what B gets and B gets double of what C gets. Find A : B and B : C and verify whether the result is in proportion or not.
Solution:
Let x be the part owned by C then A : B : C = 2(2x) : 2x : x = 4x : 2x : x
A : B = 4x : 2x = 2 : 1
B : C = 2x : x = 2 : 1
A : B : : B : C. i.e, They are in proportion.

Question 5.
The ingredients required for the preparation of Ragi Kali, a healthy dish of Tamilnadu is given below.

(a) If one cup of ragi flour is used then, what would be the amount of raw rice required?
(b) If 16 cups of water are used, then how much ragi flour should be used?
(c) Which of these ingredients cannot be expressed as a ratio? Why?
Solution:
(i) \(\frac{1}{4}\) cup
(ii) 8 cups
(iii) Ragi flour, Raw rice, and water are in one unit. Sesame oil and salt are in different units. These different units cannot be compared and cannot be expressed as a ratio because the two quantities of a ratio should be in the same unit.

Question 6.
Antony brushes his teeth in the morning and night on all days of the week. Shabeen brushes her teeth only in the morning. What is the ratio of the number of times they brush their teeth in a week?
Solution:
Number of times Antony brushes a day = 2
Number of times Antony brushes a week = 2 × 7 = 14
Number of times Shabeen brushes a day = 1
Number of times Shabeen brushes a week = 1 × 7 = 7
Number of times Antony brushes : Number of times Antony brushes = 14 : 7 = 2 : 1
The required ratio = 2 : 1

Question 7.
Thirumagal’s mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumagal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?

Solution:
Red : blue = 35 : 30 = 7 : 6
Different ways (i) 7 : 6
(ii) 14 : 12;
(iii) 21 : 18;
(iv) 28 : 24

Question 8.
Team A wins 26 matches out of 52 matches. Team B wins three fourth of 52 matches played. Which team has a better winning record?
Solution:
Team A = \(\frac{26}{52}\) = \(\frac{1}{2}\)
Team B = \(\frac{3}{4}\) × 52 = 39
Team B has a better winning record.

Question 9.
In a school excursion, 6 teachers and 12 students from 6th standard and 9 teachers and 27 students from 7th standard, 4 teachers and 16 students from 8th standard took part. Which class has the least teacher to student ratio?
Solution:
Std VI – teachers: students = 6 : 12 = 1 : 2
Std VII – teachers : students = 9 : 27 = 1 : 3
Std VIII – teachers : students = 4 : 16 = 1 : 4
Std VIII has the least ratio.

Question 10.
Fill the boxes using any set of suitable numbers 6 : ___ : : ___ : 15
Solution:
6 : ……. = …….. : 15
Product of the extremes = 6 × 15 = 90
Set of suitable numbers
1 and 90, 2 and 45, 3 and 30, 5 and 18, 6 and 15

Question 11.
From your school diary, write the ratio of the number of holidays to the number of working days in the current academic year.
Solution:
Number of holidays = 145
Number of working days = 220
Holidays : working days = 145 : 220
= \(\frac{145}{220}\)
= \(\frac{29}{44}\)
= 29 : 44

Question 12.
If the ratio of Green, Yellow and Black balls in a bag is 4 : 3 : 5, then
(a) Which is the most likely ball that you can choose from the bag?
(b) How many balls in total are there in the bag if you have 40 black balls in it?
(c) Find the number of green and yellow balls in the bag.
Solution:
Green : Yellow : Black = 4 : 3 : 5
(i) Blackballs;
(ii) 96 balls (32 + 24 + 40);
(iii) green balls = 32
yellow balls = 24

Students can download Maths Chapter 3 Ratio and Proportion Ex 3.4 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 3 Ratio and Proportion Ex 3.4

Question 1.
Fill in the blanks.
(i) If the cost of 3 pens is Rs 18, then the cost of 5 pens is ……..
(ii) If Karkuzhali earns Rs 1800 in 15 days, then she earns Rs 3000 in …….. days
Solution:
(i) ₹ 30
Hint: \(5 \times \frac{18}{3}\) = 5 × 6 = ₹ 30
(ii) 25 Days
Hint:
\(\frac{1800}{3000}=\frac{15}{x}\)
⇒ x = \(\frac{15 \times 3000}{1800}\) = 25 days

Question 2.
Say True or False.
(i) If the weight of 40 books is 8 kg, then the weight of 15 books is 3 kg.
(ii) A car travels 90 km in 3 hours with constant speed. It will travel 140 km in 5 hours at the same speed.
Solution:
(i) True
Hint: Weight of 1 book = \(\frac{8}{40}=\frac{1}{5} \mathrm{kg}\)
Flence Weight of 15 books = \(\frac{1}{5} \times 15=3 \mathrm{kg}\)
(ii) False
1 hour the car travels = \(\frac{90}{3}\) = 30 km
In 5 hours the car travels = 30 × 5 = 150 km

Question 3.
If a person reads 20 pages of a book in 2 hours, how many pages will he read in 8 hours at the same speed?
Solution:
In 2 hours, pages read = 20
In 1 hour, pages read = \(\frac{20}{2}\) = 10
In 8 hours, pages read = 10 × 8
= 80 pages

Question 4.
The cost of 15 chairs is ₹ 7500. Find the number of such chairs that can be purchased for ₹ 12,000?
Solution:
Cost of 15 chairs = Rs 7500
Cost of 1 chair = Rs \(\frac{7500}{15}\) = Rs 500
Number of chairs that can be purchased for Rs 12000 = \(\frac{12000}{500}\) = 24 chairs

Question 5.
A car covers a distance of 125 km in 5 kg of LP Gas. How much distance will it cover in 3 kg of LP Gas?
Solution:
In 5 kg of LPG gas, distance covered = 125 km
In 1 kg of LPG gas, distance covered = \(\frac{125}{5}\) = 25 km
In 3 kg of LPG gas, distance covered = 3 × 25 km = 75 km

Question 6.
Cholan walks 6 km in 1 hour at a constant speed. Find the distance covered by him in 20 minutes at the same speed.
Solution:
In 1 hour (60 minutes), distance covered = 6 km
In 1 minute, distance covered = \(\frac{6 km}{60 min}\) = \(\frac{6000 m}{60}\) = 100 m
In 20 minutes, distance covered = 20 × 100 m = 2000 m = 2 km

Question 7.
The number of correct answers given by Kaarmugilan and Kavitha in a quiz competition are in the ratio 10 : 11. If they had scored a total of 84 points in the competition, then how many points did Kavitha get?
Solution:
Total points scored = 84 Ratio = 10 : 11
Sum of the ratio = 10 + 11 = 21
21 parts = 84 points
1 part = \(\frac{84}{21}\) = 4 points
Kavitha = 11 parts
Kaarmugilan = 10 parts
Foints scored by Kavitha = 11 parts = 11 × 4 points = 44 points

Question 8.
Karmegam made 54 runs in 9 overs and Asif made 77 runs in 11 overs. Whose run rate is better? (run rate = ratio of runs to overs)
Solution:
Karmegam Runs made in 9 overs = 54
Runs made in 1 over = \(\frac{54}{9}\) = 6 runs
Asif Runs made in 11 overs = 77
Runs made in 1 over = \(\frac{77}{11}\) = 7 runs
∴ Asif’s run rate is better than Karmegam.

Question 9.
You purchase 6 apples for Rs 90 and your friend purchases 5 apples for Rs 70. Whose purchase is better?
Solution:
Myself
Cost of 6 apples = Rs 90
Cost of 1 apple = \(\frac{Rs 90}{6}\) = Rs 15
Friend’s purchase
Cost of 5 apples = Rs 70
Cost of 1 apple = \(\frac{70}{5}\) = Rs 14
∴ Friend’s purchase is better than mine.

Objective Type Questions

Question 10.
If a Barbie doll costs ₹ 90, then the cost of 3 such dolls is ₹ _____
(a) 260
(b) 270
(c) 30
(d) 93
Solution:
(b) 270
Hint:
Cost of 3 dolls = 90 × 3 = ₹ 270

Question 11.
If 8 oranges cost Rs 56, then the cost of 5 oranges is Rs …….
(a) 42
(b) 48
(c) 35
(d) 24
Solution:
(c) 35

Question 12.
If a man walks 2 km in 15 minutes, then he will walk _____ km in 45 minutes.
(a) 10
(b) 8
(c) 6
(d) 12
Solution:
(c) 6
Hint:
1 min he walks = \(\frac{2}{15}\) km
45 min he walks = \(\frac{2}{15}\) × 45 = 6 km.

Students can download Maths Chapter 3 Ratio and Proportion Ex 3.2 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 3 Ratio and Proportion Ex 3.2

Question 1.
Fill in the blanks of the given equivalent ratios.
(i) 3 : 5 = 9 : ……
(ii) 4 : 5 = …… : 10
(iii) 6 : …… = 1 : 2
Solution:
(i) 15
Hint: \(\frac{3}{5}=\frac{3 \times 3}{5 \times 3}=\frac{9}{15}\)
(ii) 8
Hint: \(\frac{4}{5}=\frac{4 \times 2}{5 \times 2}=\frac{8}{10}\)
(iii) 12
Hint: \(\frac{1}{2}=\frac{1 \times 6}{2 \times 6}=\frac{6}{12}\)

Question 2.
Complete the table.

Solution:
(i) 1 feet = 12 inches
3 feet = 3 × 12 inches = 36 inches
72 inches = 6 × 12 inches = 6 feet

(ii) 1 week = 7 days
2 weeks = 2 × 7 days = 14 days
63 days = 9 × 7 days = 9 weeks

Question 3.
Say True or False.
(i) 5 : 7 is equivalent to 21 : 15
(ii) If 40 is divided in the ratio 3 : 2, then the larger part is 24
Solution:
(i) False
Hint: \(\frac{21}{15}=\frac{7}{5}=7: 5\)
(ii) True
Hint: \(\frac{3}{5} \times 40=24\)

Question 4.
Give two equivalent ratios for each of the following.
(i) 3 : 2
(ii) 1 : 6
(iii) 5 : 4
Solution:
(i) 3 : 2

3 : 2 = 6 : 4 = 9 : 6

(ii) 1 : 6

1 : 6 = 2 : 12 = 3 : 18

(iii) 5 : 4

5 : 4 = 10 : 8 = 15 : 12

Question 5.
Which of the two ratios is larger?
(i) 4 : 5 or 8 : 15
(ii) 3 : 4 or 7 : 8
(iii) 1 : 2 or 2 : 1
Solution:
(i) 4 : 5 (or) 8 : 15

4 : 5 > 8 : 15

(ii) 3 : 4 (or) 7 : 8

7 : 8 > 3 : 4

(iii) 1 : 2 (or) 2 : 1
1 : 2 = \(\frac{1}{2}\)
2 : 1 = \(\frac{2}{1}\)
= 2
\(\frac{2}{1}\) > \(\frac{1}{2}\)
2 : 1 > 1 : 2

Question 6.
Divide the numbers given below in the required ratio.
(i) 20 in the ratio 3 : 2
(ii) 27 in the ratio 4 : 5
(iii) 40 in the ratio 6 : 14.
Solution:
(i) Ratio = 3 : 2
Sum of the ratio = 3 + 2 = 5
5 parts = 20
1 part = \(\frac{20}{5}\) = 4
3 parts = 3 × 4 = 12
2 parts = 2 × 4 = 8
20 can be divided in the form as 12, 8.

(ii) Ratio = 4 : 5
Sum of the ratio = 4 + 5 = 9
9 parts = 27
1 part = \(\frac{27}{9}\) = 3
4 parts = 4 × 3 = 12
5 parts = 5 × 3 =15
27 can be divided in the form as 12, 15.

(iii) 40 in the ratio 6 : 14
Ratio = 6 : 14
Sum of the ratio = 6 + 14 = 20
20 parts = 40
1 part = \(\frac{40}{20}\) = 2
6 parts = 2 × 6 = 12
14 parts = 2 × 14 = 28
40 can be divided in the form as 12, 28.

Question 7.
In a family, the amount spent in a month for buying Provisions and Vegetables are in the ratio 3 : 2. If the allotted amount is Rs 4000, then what will be the amount spent for
(i) Provisions and
(ii) Vegetables?
Solution:
Allotted amount = Rs 4000
Ratio = 3 : 2
Sum of the ratio = 3 + 2 = 5
5 parts = Rs 4000
1 part = Rs \(\frac{4000}{5}\) = Rs 800
Provisions : Vegetables = 3 : 2
3 parts = 3 × Rs 800 = Rs 2400
2 parts = 2 × Rs 800 = Rs 1600
Amount spent for provisions = Rs 2400
Amount spent for vegetables = Rs 1600

Question 8.
A line segment 63 cm long is to be divided into two parts in the ratio 3 : 4. Find the length of each part.
Solution:
Total length = 63 cm Ratio = 3 : 4
Sum of the ratio = 3 + 4 = 7
7 parts = 63 cm
1 part = \(\frac{63}{7}\) = 9 cm
3 parts = 3 × 9 cm = 27 cm
4 parts = 4 × 9 cm = 36 cm
∴ 63 cm can be divided into the parts as 27 cm and 36 cm.

Objective Type Questions

Question 9.
If 2 : 3 and 4 : …… are equivalent ratios, then the missing term is
(a) 6
(b) 2
(c) 4
(d) 3
Solution:
(a) 6

Question 10.
An equivalent ratio of 4 : 7 is
(a) 1 : 3
(b) 8 : 15
(c) 14 : 8
(d) 12 : 21
Solution:
(d) 12 : 21

Question 11.
Which is not an equivalent ratio of \(\frac{16}{24}\)?
(a) \(\frac{6}{9}\)
(b) \(\frac{12}{18}\)
(c) \(\frac{10}{15}\)
(d) \(\frac{20}{28}\)
Solution:
(d) \(\frac{20}{28}\)

Question 12.
If Rs 1600 is divided
(a) Rs 480
(b) Rs 800
(c) Rs 1000
(d) Rs 200
Solution:
(c) Rs 1000

Students can download Maths Chapter 2 Introduction to Algebra Ex 2.1 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 2 Introduction to Algebra Ex 2.1

Question 1.
Fill in the blanks:
(i) The letters a, b, c, .., x, y, z are used to represent _____
(ii) A quantity that takes _____ values is called a variable.
(iii) If there are 5 students on a bench, then the number of students in ‘n’ benches is ‘5 × n’. Here _____ is a variable.
Solution:
(i) Variables
(ii) Different
(iii) n

Question 2.
Say True or False.

(iii) If there are 11 players in a team, then there will be ’11 + q’ players in ‘q’ teams.
Solution:
(i) False
(ii) True
(iii) False

Question 3.
Draw the next two patterns and complete the table

Solution:

Question 4.
Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.

Solution:
(a) No of ice candy sticks used = 3 × n = 3n
(b) No of ice candy sticks used = 4 × n = 4n

Question 5.
The teacher forms groups of five students in a class. How many students will be there in ‘p’ groups?
Solution:
No of students in a group = 5
No of students in ‘p’ groups = 5 × p = 5p

Question 6.
Arivazhagan is 30 years younger than his father. Write Arivazhagan’s age in terms of his father’s age.
Solution:
Let Arivazhagan’s father’s age be x years
According to the problem,
Arivazhagan’s age = (x – 30) years

Question 7.
If ‘u’ is an even number, how would you represent
(i) the next even number?
(ii) the previous even number?
Solution:
(i) Difference between two even numbers = 2
Given that ‘u’ is an even number.
Next, the even number is u + 2.
(ii) Previous even number is u – 2.

Objective Type Questions

Question 8.
Variable means that it
(a) can take only a few values
(b) has a fixed value
(c) can take different values
(d) can take only 8 values
Solution:
(c) can take different values

Question 9.
‘6y’ means
(a) 6 + y
(b) 6 – y
(c) 6 × y
(d) \(\frac{6}{7}\)
Solution:
(c) 6 × y

Question 10.
Radha is ‘x’ years of age now. 4 years ago, her age was
(a) x – 4
(b) 4 – x
(c) 4 + x
(d) 4x
Solution:
(a) x – 4

Question 11.
The number of days in ‘w’ weeks is
(a) 30 + w
(b) 30w
(c) 7 + w
(d) 7w
Solution:
(d) 7w

Question 12.
The value of ‘x’ in the circle is

(a) 6
(b) 8
(c) 21
(d) 22
Solution:
(d) 22

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Samacheer Kalvi 6th Social Science Book Back Answers

Tamilnadu State Board Samacheer Kalvi 6th Social Science Book Back Answers Solutions Guide Pdf of History, Geography, Civics Term 1, 2, 3.

Samacheer Kalvi 6th Social Science Book Solutions Term 1

Samacheer Kalvi 6th Social Science History

• Chapter 1 What is History?
• Chapter 2 Human Evolution
• Chapter 3 Indus Civilisation
• Chapter 4 Ancient Cities of Tamilagam

Samacheer Kalvi 6th Social Science Geography

• Chapter 1 The Universe and Solar System
• Chapter 2 Land and Oceans

Samacheer Kalvi 6th Social Science Civics

• Chapter 1 Understanding Diversity
• Chapter 2 Achieving Equality

Samacheer Kalvi 6th Social Science Book Solutions Term 2

Samacheer Kalvi 6th Social Science History

• Chapter 1 Vedic Culture in North India and Megalithic Culture in South India
• Chapter 2 Great Thinkers and New Faiths
• Chapter 3 From Chiefdoms to Empires

Samacheer Kalvi 6th Social Science Geography

• Chapter 1 Resources

Samacheer Kalvi 6th Social Science Civics

• Chapter 1 National Symbols
• Chapter 2 The Constitution of India

Samacheer Kalvi 6th Social Science Economics

• Chapter 1 Economics-An Introduction

Samacheer Kalvi 6th Social Science Book Solutions Term 3

Samacheer Kalvi 6th Social Science History

• Chapter 1 Society and Culture in Ancient Tamizhagam: The Sangam Age
• Chapter 2 The Post-Mauryan India
• Chapter 3 The Age of Empires: Guptas and Vardhanas
• Chapter 4 South Indian Kingdoms

Samacheer Kalvi 6th Social Science Geography

• Chapter 1 Asia and Europe
• Chapter 2 Globe
• Chapter 3 Understanding Disaster

Samacheer Kalvi 6th Social Science Civics

• Chapter 1 Democracy
• Chapter 2 Local Bodies: Rural and Urban
• Chapter 3 Road Safety

6th Standard Social Science Guide in Tamil Medium Pdf Download

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Samacheer Kalvi 6th Standard Social Science Guide Term 1

Social Guide For Class 6 History

• Chapter 1 வரலாறு என்றால் என்ன?
• Chapter 2 மனிதர்களின் பரிணாம வளர்ச்சி
• Chapter 3 சிந்து வெளி நாகரிகம்
• Chapter 4 தமிழ்நாட்டின் பண்டைய நகரங்கள்

6th Social Book Back Answers Geography

• Chapter 1 பேரண்டம் மற்றும் சூரியக்குடும்பம்
• Chapter 2 நிலப்பரப்பும், பெருங்கடல்களும்

Social 6th Guide Civics

• Chapter 1 பன்முகத் தன்மையினை அறிவோம்
• Chapter 2 சமத்துவம் பெறுதல்

Samacheer Kalvi 6th Social Science Book Back Answers Term 2

Social Science 6th Guide History

• Chapter 1 வட இந்தியாவில் வேதகாலப் பண்பாடும் தென்னிந்தியாவில் பெருங்கற்காலப் பண்பாடும்
• Chapter 2 மாபெரும் சிந்தனையாளர்களும் புதிய நம்பிக்கைகளும்
• Chapter 3 குடித்தலைமையில் இருந்து பேரரசு வரை

6th Guide Social Geography

• Chapter 1 வளங்கள்

Sixth Social Guide Civics

• Chapter 1 தேசியச் சின்னங்கள்
• Chapter 2 இந்திய அரசமைப்புச் சட்டம்

6 Standard Social Guide Economics

• Chapter 1 பொருளியல் – ஓர் அறிமுகம்

6th Social Book Back Questions and Answers Term 3

6th Samacheer Social Guide History

• Chapter 1 பண்டைக்காலத் தமிழகத்தில் சமூகமும் பண்பாடும்: சங்க காலம்
• Chapter 2 இந்தியா – மௌரியருக்குப் பின்னர்
• Chapter 3 பேரரசுகளின் காலம்: குப்தர், வர்த்த னர்
• Chapter 4 தென்னிந்திய அரசுகள்

6th Std Social Book Answers Geography

• Chapter 1 ஆசியா மற்றும் ஐரோப்பா
• Chapter 2 புவி மாதிரி
• Chapter 3 பேரிடரைப் புரிந்து கொள்ளுதல்

Samacheer 6th Social Guide Civics

• Chapter 1 மக்களாட்சி
• Chapter 2 உள்ளாட்சி அமைப்பு – ஊரகமும் நகர்ப்புறமும்
• Chapter 3 சாலை பாதுகாப்பு

We hope these Tamilnadu State Board Samacheer Kalvi Class 6th Social Science Book Solutions Answers Pdf Free Download in English Medium and Tamil Medium will help you get through your subjective questions in the exam.

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Subject Matter Experts at SamacheerKalvi.Guide have created Tamil Nadu State Board Samacheer Kalvi 6th Science Book Answers Solutions Guide Pdf Free Download of Term 1, 2, 3 in English Medium and Tamil Medium are part of Samacheer Kalvi 6th Books Solutions.

Let us look at these TN State Board New Syllabus Samacheer Kalvi 6th Std Science Guide Pdf of Text Book Back Questions and Answers Term 1, 2, 3, Chapter Wise Important Questions, Study Material, Question Bank, Notes, and revise our understanding of the subject.

Samacheer Kalvi 6th Science Book Solutions Guide Pdf Free Download

Samacheer Kalvi 6th Science Book Back Answers

Tamilnadu State Board Samacheer Kalvi 6th Science Book Back Answers Solutions Guide Term 1, 2, 3.

Samacheer Kalvi 6th Science Book Solutions Term 1

• Chapter 1 Measurements
• Chapter 2 Force and Motion
• Chapter 3 Matter Around Us
• Chapter 4 The Living World of Plants
• Chapter 5 Living World of Animals
• Chapter 6 Health and Hygiene
• Chapter 7 Computer – An Introduction

Samacheer Kalvi 6th Science Book Solutions Term 2

• Chapter 1 Heat
• Chapter 2 Electricity
• Chapter 3 Changes Around Us
• Chapter 4 Air
• Chapter 5 The Cell
• Chapter 6 Human Organ Systems
• Chapter 7 Parts of Computer

Samacheer Kalvi 6th Science Book Solutions Term 3

• Chapter 1 Magnetism
• Chapter 2 Water
• Chapter 3 Chemistry in Everyday Life
• Chapter 4 Our Environment
• Chapter 5 Plants in Daily Life
• Chapter 6 Hardware and Software

Samacheer Kalvi 6th Standard Science Guide in Tamil Medium

6th Science Book Back Questions with Answers in Tamil, 6th Std Science Guide Tamil Medium Pdf Download, 6th New Science Book Back Answers in Tamil 2021-2022.

Science 6th Guide பருவம் – 1

• Chapter 1 அளவீடுகள்
• Chapter 2 விசையும் இயக்கமும்
• Chapter 3 நம்மைச் சுற்றியுள்ள பருப்பொருட்கள்
• Chapter 4 தாவரங்கள் வாழும் உலகம்
• Chapter 5 விலங்குகள் வாழும் உலகம்
• Chapter 6 உடல் நலமும் சுகாதாரமும்
• Chapter 7 கணினி ஓர் அறிமுகம்

Science Guide for Class 6 Samacheer Kalvi பருவம் – 2

• Chapter 1 வெப்பம்
• Chapter 2 மின்னியல்
• Chapter 3 நம்மைச் சுற்றி நிகழும் மாற்றங்கள்
• Chapter 4 காற்று
• Chapter 5 செல்
• Chapter 6 மனித உறுப்பு மண்டலங்கள்
• Chapter 7 கணினியின் பாகங்கள்

6th Standard Science Book Answers பருவம் – 3

• Chapter 1 காந்தவியல்
• Chapter 2 நீர்
• Chapter 3 அன்றாட வாழ்வில் வேதியியல்
• Chapter 4 நமது சுற்றுச்சூழல்
• Chapter 5 அன்றாட வாழ்வில் தாவரங்கள்
• Chapter 6 வன்பொருளும் மென்பொருளும்

We hope these Tamilnadu State Board Samacheer Kalvi Class 6th Science Book Solutions Answers Pdf Free Download in English Medium and Tamil Medium will help you get through your subjective questions in the exam.

Let us know if you have any concerns regarding TN State Board New Syllabus Samacheer Kalvi 6th Standard Science Guide Pdf of Text Book Back Questions and Answers Term 1, 2, 3, Chapter Wise Important Questions, Study Material, Question Bank, Notes, drop a comment below and we will get back to you as soon as possible.