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Published on: 31/07/2018
Some of the important questions are prepared from this chapter Introduction to graphs. The important questions are covers from the Higher Order Thinking Questions and Value Based Questions.
Download CBSE Class 8th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 8th Standard CBSE Mathematics
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1.
A courier-person cycles from a town to a neighbouring Suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph:

How much time did the person take for the travel?
2.
The table given below shows the temperatures recorded on a day at different times:

Observe the table and answer the following questions.
(a) What is the temperature at 8 am?
(b) At what time is the temperature 3oC?
(c) During which hour did the temperature fall?
3.
From the given graph, choose the letters that indicate the location of the points given below:

(a) (2, 0)
(b) (0, 4)
(c) (5,1)
(d) (2, 6)
(e) (3, 3)
4.
Plot the given points on a graph sheet and check, if the points lie on a straight line. If not, name the shape they form when joined in the given order (3,0), (0,4), (-3,0) and (0, -4).
5.
Plot the following points on a graph sheet. Verify, if they lie on a line.
K (2, 3), L (5, 3),M (5, 5), N (2, 5)
6.
The y-coordinate of any point lying on the X-axis will be zero.
7.
The coordinates of the origin are (0, 0).
8.
The ordinate of a point is its distance from the Y-axis.
9.
A line graph can also be a whole unbroken line
10.
A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.
11.
In the given figure, the position of the book on the table may be given by

(7,3)
(3,7)
(3,3)
(7,7)
12.
The coordinates of a point at a distance of 3 units from the X-axis and 6 units from the Y-axis is
(0,3)
(6, 0)
(3, 6)
(6, 3)
13.
The point (3, 4) is at a distance of
3 from both the axis
4 from both the axis
4 from the X-axis and 3 from Y-axis
3 from x-axis and from Y-axis
14.
In the given graph, the letter that indicates the point (0, 3) is

P
Q
R
S
15.
Comparison of parts of a whole may be done by a
bar graph
pie chart
linear graph
line graph
16.
The pie chart represents the distribution of population in a village.
(a) Calculate the percentage of the population in the village who are girls.
(b) If there are 432 boys in the Village, calculate the total population of the village
17.
The cost of a notebook is Rs 10. Draw a graph after making a table showing cost of 2, 3, 4, ...... notebooks. Use it to find
(a) the cost of 7 notebooks.
(b) the number of notebooks that can be purchased with Rs 50.
18.
Make a line graph for the area of a square as per the given table:
| Side (in cm) | 1 | 2 | 3 | 4 |
| Area (in cm2) | 1 | 4 | 9 | 16 |
Is it a linear graph?
19.
The cost of a notebook is Rs 10. Draw a graph after making a table showing cost of 2, 3, 4, ...... notebooks. Use it to find
(a) the cost of 7 notebooks.
(b) the number of notebooks that can be purchased with Rs 50.
20.
If y-coordinate is 3 times x-coordinate, form a table for it and draw a graph.
21.
Mr. Aditya total gross salary income is Rs 25000 per month. Due to some daily extra expenses, he is unable to save money for future emergency. Atlast he took advice from his close friend Kritik. So, he make a chart for his monthly income, choice is given below:
| Expenditure | Amount |
| Education | Rs 5000 |
| Saving | Rs 4000 |
| House rent | Rs4500 |
| Charity | Rs1500 |
| Miscellaneous | Rs 10000 |
Draw a bar graph on the basis of above given table/chart. What value depicted here?
22.
Study the given graphs (i) and (ii) and complete the corresponding tables below.

(i)
| x | 0 | 1 | 2 | 3 |
| y |
(ii)
| x | 0 | 1 | 2 | 3 | 4 |
23.
In the coordinates of a point, the second number denotes the ______________________
24.
A point has 5 as its x-coordinate and 4 as its y-coordinate. Then, the coordinates of the point are given by ________________
25.
The y-coordinate of the point (2, 4) is ______________________
26.
All points with y-coordinate as zero lie on the___________________________
27.
The process of fixing a point with the help of the coordinates is known as ____________of the point.
1.
3 h 30 min
2.
(a) 7oC (b) 6 am (e) 5 to 6 am
3.
(a) In the given graph, point F is (2, 0),
i.e. x = 2, Y = O.
(b) In the given graph, point A is (0, 4),
i.e. x = 0, y = 4.
(c) In the given graph, point H is (5, 1),
i.e. x=5,y=1.
(d) In the given graph, point C is (2, 6),
i.e. x = 2, y = 6.
(e) In the given graph, point E is (3, 3),
i.e. x = 3, Y = 3.
4.
.png)
Shape formed by these points is a rhombus.
5.
To plot the given points in each case, firstly we draw the X and Y-axes and then plot the given points.
Given points K, L,M and N do not lie on a line.
6.
(a)
7.
(a)
8.
(b)
9.
(a)
10.
(b)
11.
(b)
(3,7)
12.
(d)
(6, 3)
13.
(c)
4 from the X-axis and 3 from Y-axis
14.
(c)
R
15.
(b)
pie chart
16.
(a) 15 % (b) 1920
17.
The cost of a notebook = Rs 10
The cost of two notebooks will be = 2 x10 =Rs20
The cost of three notebooks will be = 3 x 10 = Rs 30
The cost of four notebooks will be = 4 x 10 = Rs 40
Hence, table for the graph is given below:
| Number of notebooks | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Cost of note books (in Rs) | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
So, the graph for given data is shown below:

(a) Cost of 7 notebooks is Rs 70.
(b) 5 notebooks can be purchased with Rs 50.
18.
The line graph for the area of a square as per the given table.

No, it is not a linear graph because when we join the points, then there is not a straight line formed.
19.
The cost of a notebook = Rs 10
The cost of two notebooks will be = 2 x10 =Rs20
The cost of three notebooks will be = 3 x 10 = Rs 30
The cost of four notebooks will be = 4 x 10 = Rs 40
Hence, table for the graph is given below:
| Number of notebooks | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Cost of note books (in Rs) | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
So, the graph for given data is shown below:

(a) Cost of 7 notebooks is Rs 70.
(b) 5 notebooks can be purchased with Rs 50.
20.
If y-coordinate = 3 times of x-coordinates i.e. y=3x

If x =1, then y = 3 x1 = 3
If x = 2 ,then y = 3 x 2 = 6
If x = 3, then y = 3 x 3 = 9
| x | 1 | 2 | 3 |
| y | 3 | 6 | 9 |
So, points are (1, 3), (2, 6) (3, 9) and graph is drawn as:
21.

The value depicted here is that if we make a plan on expenditure, then we can save some money,
22.
Graph (i) shows x = y
If x = 0, then y = 0; If x =1, then y =1
If x =2, then y =2; If x =3, then y = 3
| x | 0 | 1 | 2 | 3 |
| y | 0 | 1 | 2 | 3 |
Graph (ii) shows that, y = 2x + 2, because,
If x = 0, then y = 2; If x =1, then y = 4
If x = 2, then y = 6; If x = 3 then y = 8
| x | 0 | 1 | 2 | 3 |
| y | 2 | 4 | 6 | 8 |
23.
( )
ordinate.
24.
( )
(5, 4).
25.
( )
4
26.
( )
X-axis.
27.
( )
plotting
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