ICSE

ML Aggarwal Class 7 Solutions Chapter 17 Data Handling Ex 17.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 17 Data Handling Ex 17.3

Question 1.
Find the median of the following data:
(i) 3, 1, 5, 6, 3, 4, 5
(ii) 3, 1, 5, 6, 3, 4, 5, 6
Solution:

Question 2.
Find the mode of the following data:
(i) 3, 1, 5, 6, 3, 4, 5, 3
(ii)

Solution:

Question 3.
Find the median and the mode of the data:
13, 16, 12, 14, 19, 12, 14, 13, 14
Solution:

Question 4.
The scores in mathematics test (out of 25) of 15 students is as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Find the mode and median of this data. Are they same?
Solution:

Question 5.
The weights (in kg) of 15 students of a class are:
38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47
(i) Find the median and mode of this data.
(ii) Is there more than one mode?
Solution:

Question 6.
The runs scored in a cricket match by 11 players is as follows:
6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15
Find the mean, mode and median of this data. Are the three same?
Solution:

Question 7.
Find the mode of the following data:
12, 14, 12, 15, 16, 13, 14, 18, 19, 12, 14, 15, 16, 15, 16, 16, 15, 17, 13, 16, 16, 15, 15, 13, 15, 17, 15, 14, 15, 13, 15, 14.
Solution:

ML Aggarwal Class 7 Solutions Chapter 17 Data Handling Ex 17.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 17 Data Handling Ex 17.2

Question 1.
Find the mean of the following data:
(i) 40, 30, 30, 0, 26, 60
(ii) 3, 5, 7, 9, 11, 13, 15
Solution:

Question 2.
Find the mean of the first five whole numbers.
Solution:

Question 3.
A batsman scored the following number of runs in six innings:
36, 35, 50, 46, 60, 55
Calculate the mean runs scored by him in an inning.
Solution:

Question 4.
The enrolment in a school for six consecutive years was as follows:
1555, 1670, 1750, 2013, 2540, 2825
Find the mean enrolment of the school for this period.
Solution:

Question 5.
The marks (out of 100) obtained by a group of students in a science test are:
85, 76, 90, 85, 39, 48, 56, 95, 81, 75
Find the:
(i) highest and lowest marks obtained by the students.
(ii) range of the marks obtained.
(iii) mean marks obtained by the students.
Solution:

Question 6.
The heights of 10 girls were measured in cm and the results are as follows:
135, 150, 139, 128, 151, 132, 146, 149, 143, 141
(i) What is the height of the tallest girl?
(ii) What is the height of the shortest girl?
(iii) What is the mean height of the girls?
(iv) How many girls have heights more than the mean height?
Solution:

Question 7.
If the arithmetic mean of 8, 4, 6, x, 2, 7 is 5, then find the value of x.
Solution:

Question 8.
Find the mean of the following data:

Solution:

ML Aggarwal Class 7 Solutions Chapter 17 Data Handling Ex 17.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 17 Data Handling Ex 17.1

Question 1.
The number of rooms in 25 houses of a locality is as given below:
4, 3, 2, 6, 4, 3, 2, 1, 5, 3, 2, 3, 4, 3, 5, 1, 6, 1, 3, 4, 2, 3, 4, 3, 5
(i) Arrange the above data in ascending order.
(ii) Find the range of the data.
(iii) Construct a frequency distribution table for the above data.
(iv) Find the number of houses which have 4 or more than 4 rooms.
(v) Drawbar graph to represent the above data.
Solution:

Question 2.
The given bar graph shows the number of books sold by a bookstore for five consecutive years. Read the bar graph and answer the following questions:
(i) About how many books were sold in 2008, 2009 and 2011 years?
(ii) In which years were about 475 books and 225 books sold?

Solution:

Question 3.
Two hundred students of 6th and 7th class were asked to name their favorite colour so as to decide upon what should be the colour of their school building. The results are shown in the following table:

Represent the given data on a bar graph.
Answer the following questions with the help of the bar graph:
(i) Which is the most preferred colour?
(ii) Which is the least preferred colour?
(iii) How many colors are there in all? What are they?
Solution:

Question 4.
Sale of English and Hindi books in four consecutive years is given below:

Draw a double bar graph to represent the above data and answer the following questions:
(i) In which year was the difference in the sale of two language books least?
(ii) Can you say that the demand for English books rose faster? Justify your answer.
Solution:

Question 5.
Consider the following data collected from a survey of a colony:

Draw a double bar graph choosing an appropriate scale.
Answer the following questions using the bar graph:
(i) Which sports is most popular?
(ii) Which is more preferred, watching or participating in sports?
Solution:

ML Aggarwal Class 7 Solutions Chapter 16 Perimeter and Area Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 16 Perimeter and Area Check Your Progress

Question 1.
A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.
Solution:

Question 2.
In the given figure, all adjacent line segments are at right angles. Find:
(i) the area of the shaded region
(ii) the area of the unshaded region.

Solution:

Question 3.
Find the area of a triangle whose:
(i) base = 2 m, height = 1.5 m
(ii) base = 3.4 m and height = 90 cm
Solution:

Question 4.
In the given figure, PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm, PS = 8 cm and QM = 7.6 cm, find:
(i) the area of the parallelogram PQRS
(ii) the length of QN.

Solution:

Question 5.
From the given figure, find
(i) the area of ΔABC
(ii) length of BC
(iii) the length of altitude from A to BC.

Solution:

Question 6.
In the given figure, the area of the right-angled triangle is 54 cm². If one of its legs is 12 cm long, find its perimeter.

Solution:

Question 7.
If the area of a circle is 78.5 cm², find its circumference. (Take π = 3.14)
Solution:

Question 8.
Find the circumference of the circle whose area is 16 times the area of the circle with diameter 7 cm.
Solution:

Question 9.
From square cardboard, a circle of the biggest area was cut out. If the area of the circle is 154 cm², calculate the original area of the cardboard.
Solution:

Question 10.
A road 3.5 m wide surrounds a circular park whose circumference is 88 m. Find the cost of paving the road at the rate of ₹ 60 per square meter.
Solution:

Question 11.
In the given figure, ABCD is a square of side 14 cm. Find the area of the shaded region.
Take π = \(\frac { 22 }{ 7 }\)

Solution:

Question 12.
The boundary of a shaded region in the given figure consists of three semicircles, the smaller being equal. If the diameter of the larger one is 28 cm, find
(i) the length of the boundary
(ii) the area of the shaded region.

Solution:

ML Aggarwal Class 7 Solutions Chapter 16 Perimeter and Area Ex 16.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 16 Perimeter and Area Ex 16.3

Take π = \(\frac { 22 }{ 7 }\), unless stated otherwise.
Question 1.
Find the circumference of the circles with the following radius:
(i) 7 cm
(ii) 21 cm
(iii) 28 mm
(iv) 3.5 cm
Solution:

Question 2.
Find the area of the circles, given that:
(i) radius = 14 mm
(ii) diameter = 49 m
(iii) diameter = 9.8 m
(iv) radius = 5 cm
Solution:

Question 3.
Find the circumference and area of a circle of radius 20 cm. (use π = 3.14)
Solution:

Question 4.
The minute hand of a tower clock is 1.4 m long. How far does the tip of the hand move in 1 hour?
Solution:

Question 5.
A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase if he makes 2 rounds of the fence. Also find the cost of the rope, if it costs ₹ 4 per metre.
Solution:

Question 6.
If the circumference of a circle exceeds its diameter by 30 cm, find the radius of the circle.
Solution:

Question 7.
Find the length of the diameter of a circle whose circumference is 44 cm.
Solution:

Question 8.
The circumference of a circle is 31.4 cm. Find the radius and the area of the circle. (Take π = 3.14)
Solution:

Question 9.
Find the radius and the circumference of a circle whose area is 144π cm².
Solution:

Question 10.
How many times will the wheel of a car rotate in a journey of 88 km, given that the diameter of the wheel is 56 cm?
Solution:

Question 11.
From square cardboard of side 21 cm, a circle of the maximum area is cut out. Find the area of the cardboard left.
Solution:

Question 12.
A piece of wire is bent in the shape of an equilateral triangle of side 4.4 cm. If this wire is rebent to form of a circle, find the radius and the area of the circle.
Solution:

Question 13.
A wire is in the form of a square of side 27.5 cm. It is straightened and bent into the shape of a circle. Find the area of the circle.
Solution:

Question 14.
A wire is in the form of a rectangle 18.7 cm long and 14.3 cm wide. If this wire is reshaped and bent in the form of the circle, find the radius and the area of the circle so formed.
Solution:

Question 15.
The diameter of a circular park is 84 m. On its outside, there a 3.5 m wide road. Find the cost of constructing the road at ₹ 240 per m².
Solution:

Question 16.
A circular pond is surrounded by a 2 m wide circular path. If the outer circumference of the circular path is 44 m, find the inner circumference of the circular path. Also, find the area of the path.
Solution:

Question 17.
In the given figure, the area enclosed between the concentric circles is 770 cm². If the radius of the outer circle is 21 cm, calculate the radius of the inner circle.

Solution:

Question 18.
From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed (as shown in the given figure). Find the area of the remaining sheet.

Solution:

Question 19.
Calculate the length of the boundary and the area of the shaded region in the following diagrams. All measurements are in centimetres.
(i) The unshaded part is a semicircle.

(ii) Four semicircles on a square.

Solution:

Question 20.
Find the perimeter and the area of the shaded region in the following figures. All measurements are in centimetres.

Solution: