Class 6 – Samacheer Kalvi

Samacheer Kalvi 6th Tamil Book Answers Solutions Guide

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Samacheer Kalvi 6th English Book Answers Solutions Guide

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Expert Teachers at SamacheerKalvi.Guru has created Tamilnadu State Board Samacheer Kalvi 6th English Book Answers and Solutions Guide Pdf Free Download of Term 1, 2, 3 are part of Samacheer Kalvi 6th Books Solutions. Here we have given TN State Board New Syllabus Samacheer Kalvi 6th Std English Guide Pdf of Book Back Questions and Answers, 6th Standard Samacheer Kalvi English Grammar Exercises with Answers, Chapter Wise Important Questions, Study Material, Question Bank, Notes.

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Samacheer Kalvi 6th Science Book Answers Solutions Guide

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Expert Teachers at SamacheerKalvi.Guru has created Tamilnadu State Board Samacheer Kalvi 6th Science Book Answers and Solutions Guide Pdf Free Download of Term 1, 2, 3 in English Medium and Tamil Medium are part of Samacheer Kalvi 6th Books Solutions. Here we have given TN State Board New Syllabus Samacheer Kalvi 6th Std Science Guide Pdf of Book Back Questions and Answers, Chapter Wise Important Questions, Study Material, Question Bank, Notes.

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Samacheer Kalvi 6th Social Science Book Answers Solutions Guide

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Expert Teachers at SamacheerKalvi.Guru has created Tamilnadu State Board Samacheer Kalvi 6th Social Science Book Answers and Solutions Guide Pdf Free Download of History, Geography, Civics, Economics Term 1, 2, 3 in English Medium and Tamil Medium are part of Samacheer Kalvi 6th Books Solutions. Here we have given TN State Board New Syllabus Samacheer Kalvi 6th Std Social Science Guide Pdf of Book Back Questions and Answers, Chapter Wise Important Questions, Study Material, Question Bank, Notes.

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Samacheer Kalvi 6th Maths Book Answers Solutions Guide

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We hope the given Tamilnadu State Board Samacheer Kalvi Class 6th Maths Book Solutions and Answers Pdf Free Download in English Medium and Tamil Medium will help you. If you have any queries regarding TN State Board New Syllabus Samacheer Kalvi 6th Standard Maths Guide Pdf of Book Back Questions and Answers, Chapter Wise Important Questions, Study Material, Question Bank, Notes, Formulas drop a comment below and we will get back to you at the earliest.

Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 6 Information Processing Ex 6.2

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Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 6 Information Processing Ex 6.2

Question 1.
In the following magic triangle, arrange the numbers from 1 to 6, so that you get the same sum on all its sides.

Solution:
Step 1: Complete the corners with smaller numbers 1, 2 and 3.

Step 2: The side having smallest numbers 1 & 2 are to be filled with the greatest number 6, the second smallest 1 & 3 side to be filled with the second largest 5 at the middle and so on.

The magic sum is 1 + 6 + 2 = 2 + 4 + 3 = 3 + 5 + 1 = 9. Some other ways are given below.

The magic sum = 1 + 6 + 3 = 3 + 2 + 5 = 5 + 4 + 1 = 10.

The magic sum 6 + 1 + 4 = 4 + 5 + 2 = 2 + 3 + 6 = 11.

The magic sum 4 + 3 + 5 = 5 + 1 + 6 = 6 + 2 + 4 = 12.

Question 2.
Using the numbers from 1 to 9
(i) Can you form a magic triangle?
(ii) How many magic triangles can be formed?
(iii) What are the sums of the sides of the magic triangle?

Solution:
(i) Yes, we can form
(ii) 5
(iii)

Sums are 17, 19, 20, 21, and 23.

Question 3.
Arrange the odd numbers from 1 to 17 without repetition to get a sum of 30 on each side of the magic triangle.

Solution:
The odd numbers between 1 to 17 are 1, 3, 5, 7, 9, 11, 13, 15, 17.
Step 1: Place the smaller numbers 1, 3, 5 on the comers.

Step 2: Arrange another set of smaller numbers 7, 9, and 11 on each side.

Step 3: Arrange the remaining numbers 13,15,17 to give the total 30.

Magic sum = 30.

Question 4.
Put the numbers 1, 2, 3, 4, 5, 6, and 7 in the circles so that each straight line of three numbers add up to the same total.

Solution:
Here there is even number of terms. Also we know that 1 + 6 = 7, 2 + 5 = 7, 3 + 4 = 7; so placing 7 at the centre, and the pairs (1, 6) (2, 5) and (3, 4) at. the opposite ends we get, the answer.

Question 5.
Place the number 1 to 12 in the 12 circles so that the sum of the numbers in each of the six lines of the star is 26. Use each number from 1 to 12 exactly once. Find more possible ways.

Solution:
The given star can be viewed as two magical triangular as.

Now the required arrangement is

Some other arrangements are

Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Ex 5.4

Leave a Comment / Class 6 / By Prasanna

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Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Ex 5.4

Miscellaneous Practice Problems

Question 1.
The heights (in centimetres) of 40 children are

Prepare a tally mark table.
Solution:

Question 2.
There are 1000 students in a school. Data regarding the mode of transport of the students as given below. Draw a pictograph to represent the data.

Solution:
The pictograph for the mode of transport of students.

Question 3.
The following pictograph shows the total savings of a group of friends in a year. Each picture represents a saving of Rs. 100. Answer the following questions.

(i) What is the ratio of Ruby’s saving to that of Thasnim’s?
(ii) What is the ratio of Kuzhali’s savings to that of others?
(iii) How much is Iniya’s savings?
(iv) Find the total amount of savings of all your friends?
(v) Ruby and Kuzhali save the same amount. Say True or False.
Solution:
(i) Ratio of Ruby’s saving to that of Thasnim’s
\(=\frac{\text { Ruby’s saving }}{\text { Thasnim’s saving }}=\frac{5 \times 100}{4 \times 100}=\frac{5}{4}=5: 4\)
Ratio of Ruby’s saving to that of Thasnims = 5 : 4
(ii) Ratio of Kuzhali’s savings to that of others
\(=\frac{\text { kuzhali’s saving }}{\text { others saving }}=\frac{5 \times 100}{19 \times 100}=\frac{5}{19}=5: 19\)
Ratio of Kuzhali’s saving to that of others = 5 : 19
(iii) Iniya’s saving = 3 × 100 = ₹ 300
(iv) Saving of all the friends = (5 + 7 + 4 + 5 + 3) × 100 = 24 × 100 = ₹ 2400.
Total savings = ₹ 2400
(v) True.

Challenging Problems

Question 4.
The table shows the number of moons that orbit each of the planets in our solar system.

Make a Bar graph for the above data.
Solution:

Question 5.
The predictions of Weather in the month of September is given below:

(i) Make a frequency table of the types of weather by reading the calender.
(ii) How many days are either cloudy or partly cloudy
(iii) How many days do not have rain? Give two ways to find the answer?
(iv) Find the ratio of the number of sunny days to Rainy days.
Solution:
Frequency Table for the Type of weather for the month of September

(ii) 14 days.
(iii) For 24 days there is no rain.
(a) From the total 30 days, we subtract the rainy days i.e 30 – 6 = 24 days (from the frequency table)
(b) From the picture, we can count the non-rainy days.
(iv) Ratio of number of Sunny day to Rainy days
\(=\frac{\text { Number of Sunny days }}{\text { Number of Rainy days }}=\frac{10}{6}=\frac{5}{3}=5: 3\)
The ratio of a number of Sunny days to Rainy days = 5 : 3.

Question 6.
26 students were interviewed to find out what they want to become in the future. Their responses are given in the following table.

Represent this data using the pictograph
Solution:

Question 7.
Yasmin of class VI was given a task to count the number of books which are biographies, in her school library. The information collected by her is represented as follows.

Observe the pictograph and answer the following questions.
(i) Which title has the maximum number of biographies?
(ii) Which title has the minimum number of biographies?
(iii) Which title has exactly half the number of biographies as Novelists?
(iv) How many biographies are there on the title of Sportspersons?
(v) What is the total number of biographies in the library?
Solution:
(i) ‘The title Novelists’ have the maximum number of biographies
(ii) ‘The title Scientists’ have a minimum number of biographies.
(iii) ‘Sportspersons’ title has exactly half the number of biographies as Novelist.
(iv) \((1 \times 20)+\frac{20}{4}=20+5=25\) biographies are there in the title sportsperson.
(v) 8 × 20 = 160 biographies are there in the library.

Question 8.
The bar graph illustrates the results of a survey conducted on vehicles crossing over a Toll Plaza in one hour.

Observe the bar graph carefully and fill up the following table.

Solution:

Question 9.
The lengths (in the nearest centimetre) of 30 drumsticks are given as follows.

Draw the bar graph showing the same information.
Solution:
The bar graph showing the same information is given below:

Question 10.
Given two angles are supplementary i.e. their sum = 180°.
Solution:
Let the angle be x.
Then anothcf angle = x + 20 (given)

The two angles are 80° and 100°

Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Intext Questions

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Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Intext Questions

Recap (Textbook Page No. 108)

Question 1.
Count the objects in the following figure and complete the table that follows :

From Fig 5.1 and the table, answer the following question.
(i) The total number of objects in the above picture is ______
(ii) The difference between the number of squares and the number of bats is ______
(iii) The ratio of the number of balls to the number of bats is _______
(iv) What are the objects equal in number?
(v) How many more balls are there than the number of bats?
Solution:
(i) 24
(ii) 0
(iii) \(\frac{8}{6}=\frac{4}{3}\)
(iv) Bat and Square
(v) 2 balls more

Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Additional Questions

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Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 5 Statistics Additional Questions

Question 1.
A _____ is a collection of numbers gathered to give some meaningful information.
Solution:
Data

Question 2.
The data can be arranged in a tabular form using ____ marks
Solution:
Tally

Question 3.
A observation occurring 8 times in a data is represented as _____ using tally marks.
Solution:

Question 4.
Tally marks represents _____
Solution:
6

Question 5.
Following are the choice of sports for 20 students of class VI.

Arrange the names of sports in a table using tally marks.
Solution:

Question 6.
Mariana threw a die 40 times and noted the number appearing each time as shown below.

Make a table and enter the data using tally marks.
Find the number that appeared
(a) the minimum number of times
(b) the maximum number of times
(c) Find those numbers that appear an equal number of times.
Solution:
Table using Tally Marks

(a) The number ‘4’ appeared the minimum number of times
(b) The number ‘5’ appeared the maximum number of times
(c) Numbers ‘1’ and ‘6’ appeared the equal number of times.

Question 7.
What is the advantage of using pictograph?
Solution:
The data can be analyzed and interpreted. The pictures and symbols help us to understand better.

Question 8.
Total number of students of a school in different years is shown in the following table

(A) Prepare a pictograph of students using one symbol to represent 100 students and answer the following questions
(a) How many symbols represent the total number of students in the year 2000?
(b) How many symbols represent the total number of students in the year 1997?
Solution:
(A) The pictograph is given by

(a) 9 Full pictures and a half picture represent the number of students in the year 2000
(b) 5 symbols.

Question 9.
The number of bottles of honey sold by three different shops are given below.

(A) Draw a pictograph and answer the following questions (use the scale – 20 bottles)
(a) What is the total profit of shop A, if the profit gained on each bottle is ‘E’150?
(b) If the total number of bottles sold is 400 how many figures must be drawn to shops?
(c) Find the difference between the number of bottles sold by shop B and the number of bottles sold by shop ‘C’.
Solution:
(A) Pictograph of number of bottles sold

(a) Profit per bottle = ₹ 150
Shop A’s total profit = 80 × 150 = ₹ 12,000
(b) For 400 bottles, the figures to be drawn is \(\frac{400}{20}\) = 20 bottles for shop ‘C ’
(c) Difference = No. of bottles sold by shop ‘C’ – No. of bottles sold by shop ‘B’ = 180 – 140 = 40 bottles

Question 10.
The following data is the total savings of a group of 5 friends in a year.

Draw a pictograph to represent the data.
Solution:

Question 11.
The number of mathematics books sold by a shopkeeper on six consecutive days is shown below.

Draw a bar graph to represent the above information choosing the scale of your choice.
Solution:

Question 12.
The following bar graph shows the number of people visited Mahabalipuram over a period of 5 months.

Use the graph to answer the following questions
(a) How many people visited Mahabalipuram in April?
(b) How many more people visited Mahabalipuram in May than in January?
(c) In which month, were there as many visitors as in March?
(d) In which month was there 1500 more visitors than in January?
(e) How many visitors were there in 5 months?
Solution:
(a) 3500 people visited Mahabalipuram in April
(b) 500 more people
(c) January
(d) April
(e) 11,500 people