RS Aggarwal Class 6 Solutions Chapter 24 Bar Graph Ex 24

RS Aggarwal Class 6 Solutions Chapter 24 Bar Graph Ex 24

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 24 Bar Graph Ex 24

Question 1.
Solution:
(i) The given bar graph shows the marks obtained by a student in each of the four subjects in an examination.
(ii) The student is poorest in Science.
(iii) The student is best in Mathematics.
(iv) He got more than 40 marks in Hindi and Mathematics.

Question 2.
Solution:
(i) The given bar graph shows the number of members in each of the 60 families of a colony.
(ii) 10 families have 3 members each.
(iii) 5 couples have no child.
(iv) A family of 4 members is most common.

Question 3.
Solution:
(i) The production was maximum in the 2nd week.
(ii) The production was minimum in the 4th week.
(iii) The average production is 720 per week.
(iv) 2400 cycles were produced in the first three weeks.

Question 4.
Solution:
(i) The given bar graph shows the different modes of transport to a school used by 51 students of a locality.
(ii) Maximum number of students use bicycle for going to school.
(iii) 14 students use bus for going to school.
(iv) 37 students do not use bus for going to school.

 

 

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RS Aggarwal Class 6 Solutions Chapter 23 Pictograph Ex 23

RS Aggarwal Class 6 Solutions Chapter 23 Pictograph Ex 23

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 23 Pictograph Ex 23

Question 1.
Solution:
RS Aggarwal Class 6 Solutions Chapter 23 Pictograph Ex 23 Q1.1

Question 2.
Solution:
RS Aggarwal Class 6 Solutions Chapter 23 Pictograph Ex 23 Q2.1

Question 3.
Solution:
RS Aggarwal Class 6 Solutions Chapter 23 Pictograph Ex 23 Q3.1

Question 4.
Solution:
RS Aggarwal Class 6 Solutions Chapter 23 Pictograph Ex 23 Q4.1

Question 5.
Solution:
(i) 24
(ii) 32
(iii) 40
(iv) 96 Ans.

Question 6.
Solution:
(i) 30
(ii) 24
(iii) Friday = 42
(iv) Saturday = 12 Ans.

 

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RS Aggarwal Class 6 Solutions Chapter 22 Data Handling Ex 22

RS Aggarwal Class 6 Solutions Chapter 22 Data Handling Ex 22

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 22 Data Handling Ex 22

Question 1.
Solution:
(i) Data. The word data means information in the form of numerical figures.
(ii) Raw data. Data obtained in the original form is called raw data.
(iii) Array. Arranging the numerical figures (data) in an order i.e. ascending or descending order is called an array.
(iv) Tabulation of data. Arranging the given data in a systematic form in the form of a table is called tabulation of the data.
(v) Observations. Each numerical figure in a data is called an observation.
(vi) Frequency of an observation. The number of times a particular observation occurs is called its frequency.
(vii) Statistics. Statistics is a science which deals with the collection, presentation, analysis and interpretation of numerical data.

Question 2.
Solution:
Arranging the given data in ascending order, we get :
0, 0, 1, 1, 1, 1, 1, 1,2, 2, 2, 2,2, 2,2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4
RS Aggarwal Class 6 Solutions Chapter 22 Data Handling Ex 22 Q2.1

Question 3.
Solution:
Below is given the frequency distribution table of the given data :
RS Aggarwal Class 6 Solutions Chapter 22 Data Handling Ex 22 Q3.1

Question 4.
Solution:
Below is given the frequency distribution table of the given data :
RS Aggarwal Class 6 Solutions Chapter 22 Data Handling Ex 22 Q4.1

Question 5.
Solution:
Below is given the frequency distribution table of the given data
RS Aggarwal Class 6 Solutions Chapter 22 Data Handling Ex 22 Q5.1

Question 6.
Solution:
(i) numerical figures
(ii) original
(iii) array
(iv) frequency
(v) tabulation

 

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RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E

RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 21 Concept of Perimeter and Area Ex 21E

Other Exercises

Objective questions
Mark against the correct answer in each of the following :

Question 1.
Solution:
Ratio in the sides of a rectangle = 7 : 5
and perimeter = 96 cm
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 1

Question 2.
Solution:
Area of a rectangle = 650 cm²
and breadth (b) = 13 cm
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 2

Question 3.
Solution:
Length of a rectangular field (l) = 34 m
and breadth (b) = 18 m
Circumference = 2 (l + b)
= 2 (34 + 18)m
= 2 x 52
= 104 m
Rate of fencing = Rs. 22.50 per m
Total cost = Rs. 22.50 x 104
= Rs. 2340 (b)

Question 4.
Solution:
Total cost of fencing = Rs. 2400
Rate = Rs. 30 per m
Perimeter of the rectangular field
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 4

Question 5.
Solution:
Area of rectangular carpet =120 cm²
Perimeter = 46 m
Now 2 (l + b)
= 46 m
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 5

Question 6.
Solution:
Let width of a rectangle = x
Then length = 3x
and diagonal = 6√10 cm
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 6

Question 7.
Solution:
Ratio in length and perimeter of a rectangle = 1 : 3
Let length = x,
then perimeter = 3x
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 7

Question 8.
Solution:
Length of diagonal of a square = 20 cm
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 8

Question 9.
Solution:
Total cost of fencing around a square field = Rs. 2000
and rate = Rs. 25 per metre
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 9

Question 10.
Solution:
Circumference = πd
= \(\\ \frac { 22 }{ 7 } \) x 7
= 22 cm (b)

Question 11.
Solution:
(a) Diameter = \(\frac { circumference }{ \pi } \)
= \(\\ \frac { 88\times 7 }{ 22 } \)
= 28 cm

Question 12.
Solution:
Circumference = πd
= \(\\ \frac { 22 }{ 7 } \) x 70
= 220 cm
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 12

Question 13.
Solution:
Length of the lane = 150 m
Breadth of the lane = 9 m
Area of the lane = (150 x 9) m²
= 1350 m²
Area of the brick = 22.5 cm x 7.5 cm
= 168.75 cm²
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21E 13

Question 14.
Solution:
Length of a rectangular room (l) = 5 m 40 cm = 5.4 m
and breadth (b) = 4 m 50 cm
= 4.5 m
Area = l x b = 5.4 x 4.5 m²
= 24.3 m² (b)

Question 15.
Solution:
Length of a sheet (l) = 72 cm
and breadth (b) = 48 cm
Area = l x b = 72 x 48 cm²
Area of paper for one envelope = 18 x 12 cm²
No. of envelopes = \(\\ \frac { 72\times 48 }{ 18\times 12 } \) =16 (d)

 

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RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D

RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 21 Concept of Perimeter and Area Ex 21D

Other Exercises

Question 1.
Solution:
(i) Length (l) = 46 cm
Breadth (b) = 25 cm
Area of rectangle = l x b
= 46 x 25 sq. cm
= 1150 sq.cm.
(ii) Length (l) = 9 m
Breadth (b) = 6 m
Area = l x b = 9 x 6
= 54 sq. metre Ans.
(iii) Length (l) = 14.5 m
Breadth (b) = 6.8 m
Area = l x b
= 14.5 x 6.8 sq. m
= 98.6 sq. m Ans.
(iv) Length (l) = 2m 5cm
= 2x 100 cm + 5 cm
= 200 cm + 5 cm
= 205 cm
Breadth = 60 cm
Area = l x b
= 205 cm x 60 cm
= 12300 cm²
(v) Length (l) = 3.5 km
Breadth (b) = 2 km
Area = l x b
= 3.5 x 2
= 7 sq. km. Ans.

Question 2.
Solution:
Side of a square plot = 14 m
Area = (Side)²
= (14)²
= 196 m²

Question 3.
Solution:
Length of top of table (l) = 2 m, 25 cm = 2.25 m
Breadth (l) = 1 m 20 cm = 1.20 m
Area of the top of the table = l x b
= (2.25 x 1.20) sq. m
= 2.7 sq. m. Ans.

Question 4.
Solution:
Length of carpet (l) = 30 m 75 cm
= 30.75 m
Breadth (b) = 80 cm = 0.80 m
Area of the carpet = l x b
= (30.75 x 0.80) sq. m
= 24.6 sq. m
Cost of one square metre = Rs. 20
Total cost = 24.6 x 150
= Rs. 3690. Ans

Question 5.
Solution:
Length of the sheet of paper 3 m 24 cm
= 300 cm + 24 cm
= 324 cm
Breadth of the sheet of the paper 1 m 72 cm
= 100 cm + 72 cm
= 172 cm
Area of the sheet of paper = (324 x 172) cm²
Also, area of the piece of paper required for an envelope = (18 x 12) cm².
Number of envelopes that can be made
= \(\\ \frac { 324\times 172 }{ 18\times 12 } \)
= 258

Question 6.
Solution:
Length of room (l) = 12.5 m
Breadth (b) = 8 m
Area = l x b
= (12.5 x 8) sq. m
= 100 sq. m
Side of square carpet (a) = 8 m
Area of carpet = a² = (8 x 8) sq. m.
= 64 square metre
Area left without carpet = 100 sq. m – 64 sq. m
= 36 sq. m Ans.

Question 7.
Solution:
Length of the lane = 150 m
Breadth of the lane = 9 m
Area of the lane = (150 x 9) m²
= 1350 m²
Area of the brick = 22.5 cm x 7.5 cm
= 168.75 cm²
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q7.1

Question 8.
Solution:
Length of room (l) = 13 m
Breadth (b) = 9 m
Area of floor or carpet = l x b
= 13 x 9
= 117 sq. m
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q8.1

Question 9.
Solution:
Let the length of the rectangular park = 5x metres
and the breadth of the rectangular park = 3x metres
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q9.1

Question 10.
Solution:
Side of the square plot = 64 m
Perimeter of the square plot = 4 x Side
= 4 x 64
= 256 m
Perimeter of the rectangular plot = Perimeter of the square plot = 256 m
Length of the rectangular plot = 70 m
Perimeter = 2 x (Length + Breadth)
256 = 2 (70 + b)
256 = 140 + 2b
=> 2b = 256 – 140
=> 2b = 116
b = \(\\ \frac { 116 }{ 2 } \) = 58 cm
Area of the rectangular plot = (length x breadth)]
= (70 x 58) m²
= 4060 m²
Area of the square plot = Side x Side
= (64 x 64) m²
= 4096 m².
Square plot has the greater area than that of the rectangular plot by
(4096 – 4060)
= 36 m².

Question 11.
Solution:
Total cost of cultivating the rectangular field = Rs. 71400
Rate of cultivating = Rs. 35 per sq. m
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q11.1

Question 12.
Solution:
Area of rectangle = 540 sq. cm
Length (l) = 36 cm
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q12.1

Question 13.
Solution:
Measure of a marble tile = 12cm x 10cm
Area of wall = 4 m x 3 m
= 12 m²
Area of one marble tile
= 12 x 10
= 120 cm²
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q13.1

Question 14.
Solution:
Area of a rectangle = 600 cm²
Breadth = 25 cm
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q14.1

Question 15.
Solution:
diagonal of square = 5 √2
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q15.1
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q15.2

Question 16.
Solution:
(i) We name the given region as shown in the figure
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q16.1
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q16.2
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q16.3
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q16.4

Question 17.
Solution:
Measures are in cm
(i) In the figure, there are three rectangles and one square
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q17.1
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q17.2
RS Aggarwal Class 6 Solutions Chapter 21 Concept of Perimeter and Area Ex 21D Q17.3
= 5(6 x 6) cm²
= 180 cm²

 

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