NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2

NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2.

BoardCBSE
TextbookNCERT
ClassClass 6
SubjectMaths
ChapterChapter 10
Chapter NameMensuration
Exercise Ex 10.2
Number of Questions Solved1
CategoryNCERT Solutions

NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2

Question 1.
Find the areas of the following figures:
NCERT Solutions for Class 6 Maths Chapter 10 Mensuration 16
Solution :
(a)

CoverNumber estimateArea
(i)Full-filled squares99 squares
(ii)Half-filed squares
(iii)More than half-filed squares
(iv)Less than half-filed squares

∴ Total area of the figure = 9 sq units

(b)

CoverNumber estimateArea
(i)Full-filled squares55 squares
(ii)Half-filed squares
(iii)More than half-filed squares
(iv)Less than half-filed squares

∴ Total area of the figure = 9 sq units

(c) Full-filled squares = 2
Half-filled squares = 4
Area covered by full squares
= 2 × 1 sq unit = 2 sq units
Area covered by half squares = 4 × \(\frac{ 1 }{ 2 }\) sq unit = 2 sq units
∴ Total area = 2 sq units + 2 sq units = 4 sq units.

(d) Full-filled squares = 8
Total area = Area covered by full squares = 8 × 1 sq unit = 8 sq units.

(e) Full-filled squares =10
∴ Total area = Area covered by full squares = 10 × 1 sq unit = 10 sq units.

(f) Full-filled squares = 2 Half-filled squares = 4 Area covered by full squares
= 2 × 1 sq unit = 2 sq units Area covered by half squares
= 4 × \(\frac{ 1 }{ 2 }\) sq unit = 2 sq units
Total area = 2 sq units + 2 sq units = 4 sq units.

(g) Full-filled squares = 4 Half-filled squares = 4 Area covered by full squares
= 4 × 1 sq unit = 4 sq units Area covered by half squares
= 4 × \(\frac{ 1 }{ 2 }\) sq unit = 2 sq units
∴ Total area = 4 sq units + 2 sq units.
= 6 sq units

(h) Full-filled squares = 5
∴ Total area = Area covered by full squares = 5 × 1 sq unit = 5 sq units.

(i) Full-filled squares = 9
∴ Total area = Area covered by full squares = 9 × 1 sq unit = 9 sq units.

(j) Full-filled squares = 2 Half-filled squares = 4 Area covered by full squares
= 2 × 1 sq unit = 2 sq units Area covered by half squares
= 4 × \(\frac{ 1 }{ 2 }\) sq unit = 2 sq units
∴ Total area = 2 sq units + 2 sq units = 4 sq units.

(k) Full-filled squares = 4 Half-filled squares = 2 Area covered by full squares
= 4 × 1 sq unit = 4 sq units Area covered by half squares
= 2 × \(\frac{ 1 }{ 2 }\) sq unit = 1 sq unit
∴ Total area = 4 sq units + 1 sq unit = 5 sq units.
(l)

CoverNumber estimateArea
(i)Full-filled squares44 × 1 sq unit = 4 sq units
(ii)Half-filed squares22 × \(\frac{ 1 }{ 2 }\) sq unit = 1 sq unit
(iii)More than half-filed squares33 × 1 sq unit = 3 sq units
(iv)Less than half-filed squares4

(m)

CoverNumber estimateArea
(i)Full-filled squares99 × 1 sq unit = 9 sq units
(ii)Half-filed squares22 × \(\frac{ 1 }{ 2 }\) = 1 sq unit
(iii)More than half-filed squares66 × 1 sq unit = 6 sq units
(iv)Less than half-filed squares4

∴ Total Area = 9 sq units + 1 sq. unit + 6 sq units = 16 sq units
(n)

CoverNumber estimateArea
(i)Full-filled squares1111 × 1 sq unit = 11 sq units
(ii)Half-filed squares66 × \(\frac{ 1 }{ 2 }\) = 3 sq unit
(iii)More than half-filed squares99 × 1 sq unit = 9 sq units
(iv)Less than half-filed squares

∴ Total area = 11 sq units + 3 sq units + 9 sq units = 23 sq units.

 

We hope the NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2 help you. If you have any query regarding NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.4

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.4 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.4.

BoardCBSE
TextbookNCERT
ClassClass 6
SubjectMaths
ChapterChapter 9
Chapter NameData Handling
Exercise Ex 9.4
Number of Questions Solved4
CategoryNCERT Solutions

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.4

Question 1.
A survey of 120 school students was done to find which activity they prefer to do in their free time:

Preferred activityNumber of students
Playing45
Reading story books30
Watching T.V.20
Listening to music10
Painting15

Draw a bar graph to illustrate the above data taking the scale of 1 unit length = 5 students.
Which activity is preferred by most of the students other than playing?
Solution.
(i) Draw two perpendicular lines—one vertical and one horizontal.
(ii) Along horizontal line mark the “Preferred activity” and along vertical line mark the “No. of students”
(iii) Take bars of same width keeping the uniform gap between them.
(iv) Take scale of 1 unit length = 5 students along the vertical line and then mark the corresponding values.
(v) Calculate the heights of the bars for various activities preferred as shown below :
Playing                      :  45÷5= 9 units
Reading story books :  30÷5= 6 units
Watching T.V.           :   20÷4 =4 units
Listening to Music    :   10÷5= 2 units
Painting                    :   15÷5=3 units
(vi) Now draw various bars.
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 16
The activity “Reading story books” is preferred by most of the students other than playing.

Question 2.
The number of Mathematics books sold by a shopkeeper on six consecutive days is shown below:

DaysSun­dayMon­dayTues­dayWednes­dayThurs­dayFri­day
Number of books sold654030502070

Draw a bar graph to represent the above information choosing the scale of your choice.
Solution.
(i) Draw two perpendicular lines—one vertical and one horizontal.
(ii) Along horizontal line mark the “days” and along vertical line mark the “number of books sold.”
(iii) Take bars of same width keeping the uniform gap between them.
(iv) Take scale of 1 unit length = 5 books along the vertical line and mark the corresponding values.
(v) Calculate the heights of the bars for various days as shown below:
Sunday   : 65÷5=13 units
Monday  : 40÷5=8 units
Tuesday  : 30÷5=6 units
Wednesday : 50÷5=10 units
Thursday : 20÷5=4 units
Friday : 70÷5=14 units
(vi) Now draw various bars.
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 17

Question 3.
Following table shows the number of bicycles manufactured in a factory during the years 1998 to 2002. Illustrate this data using a bar graph. Choose a scale of your choice.

 YearNumber of bicycles manufactured
1998800
1999600
2000900
20011100
20021200

(i) In which year was the maximum number of bicycles manufactured?
(ii) In which year was the minimum number of bicycles manufactured?
Solution.
Steps for drawing a bar graph
(i) Draw two perpendicular lines — one vertical and one horizontal.
(ii) Along horizontal line marks the Year and along vertical line mark the “No. of bicycles manufactured”.
(iii) Take bars of same width keeping uniform gaps between them.
(iv) Take scale of 1 unit length = 100 bicycles along the vertical line and then mark the corresponding values.
(v) Calculate the heights of the bars for various years as shown below:
1998: 800÷100=8 units
1999: 600÷100=6 units
2000: 900÷100=9 units
2001: 1100÷100=11 units
2002: 1200÷100=12 units
(vi) Now draw various bars.
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 18
(i) The maximum number of bicycles were manufactured in the year 2002.
(ii) The minimum number of bicycles were manufactured in the year 1999.

Question 4.
A number of persons in various age groups in a town is given in the following table:

Age groupNumber of persons
1-142 lakhs
15-291 lakh 60 thousand
30-441 lakh 20 thousand
45-591 lakh 20 thousand
60-7480 thousand
75 and above40 thousand

Draw a bar graph to represent the above information and answer the following questions. (take 1 unit length = 20 thousands):
(i) Which two age groups have the same population?
(ii) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town?
Solution.
(i) Draw two perpendicular lines — one vertical and one horizontal.
(ii) Along horizontal line mark the “Age group” and along vertical line mark the “Number of persons”.
(iii) Take bars of same width keeping uniform gap between them.
(iv) Take scale of 1 unit length = 20 thousand along the vertical line and then mark the corresponding values.
(v) Calculate the heights of the bars for various of groups as shown below:
1- 14 : \(\frac { 200000 }{ 20000 } \) =10 units
15- 29 : \(\frac { 160000 }{ 20000 } \) = 8 units
30- 44 : \(\frac {120000 }{ 20000 } \) = 6 units
45- 59 : \(\frac {120000}{ 20000 } \) = 6 units
60- 74 : \(\frac { 80000 }{ 20000 } \) = 4 units
75 and above : \(\frac { 40000 }{ 20000 } \) = 2 units
(vi) Now draw various bars.
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 19
(i) The two age-groups 30-44 and 45-59 have the same population.
(ii) Number of senior citizens in the town
= 80000 + 40000
= 120000

We hope the NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.4 help you. If you have any query regarding. NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.4, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.3

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.3 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.3.

BoardCBSE
TextbookNCERT
ClassClass 6
SubjectMaths
ChapterChapter 9
Chapter NameData Handling
Exercise Ex 9.3
Number of Questions Solved3
CategoryNCERT Solutions

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.3

Question 1.
The bar graph given alongside shows the amount of wheat purchased by the government during the years 1998-2002:
Read the bar graph and write down your observations. In which year was
(a) the wheat production maximum?
(b) the wheat production minimum?
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 13
Solution.
(a) The wheat production was maximum in the year 2002.
(b) The wheat production was minimum in the year 1998.

Question 2.
Observe this bar graph which is showing the sale of shirts in a ready made shop from Monday to Saturday.
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 14
Now answer the following questions:
(a)
What information does the above bar graph give?
(b) What is the scale chosen on the horizontal line representing a number of shills?
(c) On which day were the maximum number of shirts sold? How many shirts were sold on that day?
(d) On which day were the minimum number of shirts sold?
(e) How many shirts were sold on Thursday?
Solution.
(a) This bar graph shows the number of shirts sold from Monday to Saturday.
(b) 1 unit = 5 shirts
(c) Saturday, 60
(d) Tuesday
(e) 35 shirts.

Question 3.
Observe this bar graph which shows the marks obtained by Aziz in half-yearly examination in different subjects.
Answer the given questions.
(a) What information does the bar graph give ?
(b) Name the subject in which Aziz scored maximum marks.
(c) Name the subject in which he has scored minimum marks.
(d) State the name of the subjects and marks obtained in each of them
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 15
Solution.
(a) This bar graph shows the marks obtained by Aziz in different subjects.
(b) Hindi
(c) Social Studies
(d) Hindi-80, English-60, Mathematics-70, Science-50 and Social Studies -40.

 

We hope the NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.3 help you. If you have any query regarding. NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.3, drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.2

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.2 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.2.

BoardCBSE
TextbookNCERT
ClassClass 6
SubjectMaths
ChapterChapter 9
Chapter NameData Handling
Exercise Ex 9.2
Number of Questions Solved2
CategoryNCERT Solutions

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.2

Question 1.
Total number of animals in five villages are as follows:
Village A : 80
Village B  : 120
Village C  : 90
Village D  : 40
Village E  : 60
Prepare a pictograph of these animals using one symbol ⊗ to represent 10 animals and answer the following questions:
(i) How many symbols represent animals of village E?
(ii) Which village has the maximum number of animals?
(iii) Which village has more animals: Village A or village C?
Solution.
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 9
(i) 6 symbols represent animals of village E.
(ii) Village B has the maximum number of animals.
(iii) Village C has more animals than village A.

Question 2.
The total number of students in a school in different years is shown in the following table:

YearNumber of students
1996400
1998535
2000472
2002600
2004623

A. Prepare a pictograph of students using one symbol to NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 10represent 100 students and answer the following questions:
(i) How many symbols represent total number of students in the year 2002?
(ii) How many symbols represent total number of students for the year 1998?
B. Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?
Solution.
(A)
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 11
(i) 6 symbols represent total number of students in the year 2002.
(ii) 0 5 complete and 1 incomplete symbols represent total number of students for the year 1998.

(B)
NCERT Solutions for Class 6 Maths Chapter 9 Data Handling 12
Pictograph B is more informative because it gives better approximations.

 

We hope the NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.2 help you. If you have any query regarding. NCERT Solutions for Class 6 Maths Chapter 9 Data Handling Ex 9.2 drop a comment below and we will get back to you at the earliest.

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.6

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.6 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.6.

BoardCBSE
TextbookNCERT
ClassClass 6
SubjectMaths
ChapterChapter 8
Chapter Name Decimals
Exercise Ex 8.6
Number of Questions Solved7
CategoryNCERT Solutions

NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.6

Question 1.
Subtract

(a) ₹ 18.25 from ₹ 20.75
(b) ₹ 25from ₹ 20.75
(c) 54 mfrom 250 m
(d) ₹ 36 from ₹ 8.40
(e) 2.051 km from 5.206 km
(f) 0.314 kg from 2.107 kg.
Solution.
NCERT Solutions for Class 6 Maths Chapter 8 Decimals 48
NCERT Solutions for Class 6 Maths Chapter 8 Decimals 49

Question 2.
Find the value of:
(a) 9.756 – 6.28
(b) 21.05 – 15.27
(c) 18.5 – 6.79
(d) 11.6- 9.847.
Solution.
NCERT Solutions for Class 6 Maths Chapter 8 Decimals 50

Question 3.
Raju bought a book for ₹ 35.65. Did he give? 50 to the shopkeeper. How much money did he get back from the shopkeeper?
Solution.
Book bought for = ₹ 35.65
Money is given to the shopkeeper = ₹ 50
∴ Money got back from the shopkeeper
= ₹ 50 – ?35.65
= ₹ 14.35
NCERT Solutions for Class 6 Maths Chapter 8 Decimals 51

Question 4.
Rani had ₹ 18.50. She bought one ice-cream for ₹ 11.75. How much money does she have now?
Solution.
Money Rani had = ₹ 18.50
Ice-cream bought for = ₹ 11. 75
∴ Money she has now = ₹ 18.50 – ₹ 11. 75
= ₹ 6.75
NCERT Solutions for Class 6 Maths Chapter 8 Decimals 52

Question 5.
Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?
Solution.
Length of cloth Tina had
NCERT Solutions for Class 6 Maths Chapter 8 Decimals 53

Question 6.
Namita travels 20 km 50 m everyday. Out of this, she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?
Solution.
Distance travelled everyday
= 20 km 50 m = 20 km + 50 m
= 20 km +\(\frac { 50 }{ 1000 } \) km
NCERT Solutions for Class 6 Maths Chapter 8 Decimals 54

Question 7.
Aakash bought vegetables weighing 10 kg. Out of this, 3 kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?
Solution.
Weight of vegetables bought = 10 kg
Weight of onions = 3 kg 500 g = 3 kg + 500 g
NCERT Solutions for Class 6 Maths Chapter 8 Decimals 55

We hope the NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.6 help you. If you have any query regarding. NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.6, drop a comment below and we will get back to you at the earliest.