Question Set B

CBSE 8th Mathematics Introduction to Graphs Model Questions Papers Study Material - QB365

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Questions:

Plot the following points on a graph sheet. Verify, if they lie on a line.
A (4, 0), B (4, 2), C (4, 6), D (4, 2.5)

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)

Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the X-axis and Y-axis.

Write the coordinates of the vertices of each of these adjoining figures.

Draw a graph for the following:

Distance(in meters)	5	10	15	20	25	30
Time(in seconds)	1	2	3	4	5	6

Is it a linear graph?

Draw the line graph from the following table (monthly output of a tin mine) :

Months	June	July	Aug	Sep	Oct	Nov	Dec
Output of tin mine (in tonne)	2	10	6	9	5	5	8

Answer the following questions:
(a) Whatis largest monthly output of the tin mine?
(b) For which months does the output remains constant?

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).

Write the coordinate of the vertices of the following figure

Draw the line graph from the following data.

x	2	4	6	8
y	1	5	9	13

(a) Find the value of x, when y = 7.
(b) Find the value of y, when x = 3.

10.

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)

11.

Write the x-coordinate (abscissa) of the given points.
(7, 3)

12.

Write the y-coordinate (ordinate) of the given points.
(3, 5)

13.

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 (1,2), (2,4), (3, 6), (4, 8).

14.

The following graph shows the relation between distance and time (distance-time graph). Find the distance covered in 3 s.

15.

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 (1, 1), (1, 2), (2, 2) and (2, 1).

16.

The following table gives the growth chart of a child.

Height(in cm)	75	90	110	120	130
Age (in yr)	2	4	6	8	10

Draw a line graph for the table and answer the questions that follow:
(a) What is the height of child at the age of 4 yr?
(b) How much taller was the child at the age of 10 yr than the child of age of 6 yr?
(c) Between which two consecutive periods did the child grow more faster?

17.

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 3^oC?
(c) During which hour did the temperature fall?

18.

The following table gives the body temperature in ^oF corresponding to ^oC. Draw the graph using the table and answer the questions that follow:

Temperature(^oC)	0	15	30
Temperature (^oF)	32	59	86

(a) What will be the temperature in ^oF, when it is 10^oC?
(b) What will be the temperature in ^oC, when it is 68^oF?

19.

Draw a 'deposit-interest' graph for the following data:

Deposit(in Rs.)	5000	6000	7000	8000	9000
Simple interest (in Rs.)for 1 yr	300	420	540	660	780

From the graph, find the interest on Rs. 6500 for 1 yr.

20.

In the given figure shows that, the movement of an object across a playground. Read it and answer the following question
How long the object was stationary?

21.

In the given figure shows that, the movement of an object across a playground. Read it and answer the following question
At what distance did the object begin to return to the starting point?

22.

In the given figure shows that, the movement of an object across a playground. Read it and answer the following question
After what time was the object 150 m from the starting point.

23.

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:

What is the scale taken for the time axis?

24.

25.

26.

27.

28.

The following table shows the daily production of cars in a factory for 6 days of the week. Draw a bar graph.

Days	Mon	Tue	Wed	Thurs	Fri	Sat
Number of cars	250	300	200	250	250	200

29.

Explain the situations represented by the following distance-time graph

30.

Explain the situations represented by the following distance-time graph

31.

Explain the situations represented by the following distance-time graph

32.

The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the question that follow.

What information is given by the two axes?

33.

The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the question that follow .

In which week was the temperature higher on most of the days?

34.

The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the question that follow .

On which day was the temperature same in both the weeks?

35.

The graph shows the maximum temperatures recorded for two consecutive weeks of a town. Study the graph and answer the question that follow.

On which day was the difference in temperatures the maximum for both the weeks?

36.

Write the x-coordinate (abscissa) of each of the given points.
(5, 7)

37.

Write the x-coordinate (abscissa) of each of the given points.
(0, 5)

38.

Write the y-coordinate (ordinate) of the given points.
(4, 0)

39.

Write the y-coordinate (ordinate) of the given points.
(2, 7)

40.

A bank gives 10% simple interest (S.I.) on deposits by senior citizens. Draw a graph to show the relation between the sum deposited and simple interest earned. Find from your graph.
(i) The annual interest for an investment of Rs.250.

41.

Is Example 7 (Textbook), a case of direct variation?

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Answers Key:

To plot the given points in each case, firstly we draw the X and Y-axes and then plot the given points.
On plotting the points A(4,0), B (4, 2), C (4, 6) and D (4, 2.5) on the graph paper and joining them. Then, we get the following graph

Yes, it is clear from the above graph that given points A, B, C and D lie on a line.

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.

Firstly, we plot the points A (2,3) and B (3,2) on the graph paper and joining them, then we get the following graph:
On extending this line in both directions, it intersect X-axis and Y-axis at points C and D, respectively. Now, coordinates of point Care (5, 0) (since, it is at a distance 5 units from 0 on X-axis) and Dare (0, 5) (since, it is at a distance 5 units from 0 on Y-axis).
Hence, the line will meet on X-axis at (5,0) and Y-axis at (0,5).

(i) In the rectangle OABC, the coordinates of O is (0, 0), A is (2, 0), B is (2, 3) and C is (0, 3)
(ii) In the parallelogram PQRS, the coordinates of Pis (4, 3), Qis (6, 1), R is (6, 5) and S is (4, 7)

(iii) In the ΔKLM, the coordinates of K is (10, 5), Lis (7, 7) and Mis (10, 8).

Scale:
On horizontal axis:1 unit = 1 cm
On vertical axis:1 unit = 4 cm
1. Mark side of the square (in cm) on horizontal axis.
2. Mark perimeter (in cm) on vertical axis.
3. Plot the points (2, 8), (3, 12), (3.5, 14) (5, 20) and (6, 24).
4. Join the points.
Yes; it is a linear graph.

(a) 10 tonnes in July
(b) For October and November output remains constant.

Shape formed by these points is a rhombus.

Name of vertices	A	B	C	D	E	F	G	H
Coordinate	(-4,2)	(-2,2)	(-2,4)	(2,4)	(2,2)	(4,2)	(4,-2)	(2, -2)

I	J	K	L
(2,-4)	(-2,-4)	(-2,-2)	(-4,-2)

(a) x = 5 (b) y = 3

10.

(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.

11.

Given, (7, 3)
In this point, x-coordinate (abscissa) is 7 i.e.
x =7.

12.

Given, (3, 5)
In this point, y-coordinate (ordinate) is 5 i.e. y = 5.

13.

All given points lie on a straight line.

14.

Distance covered in 3 s is 15 m.
i.e.

15.

All points are not lie on the straight line. Hence, if we join the given points in the given order, we found a square-shaped figure.

16.

(a) 90 cm (b) 20 cm (e) Between 4 yr to 6 yr

17.

(a) 7^oC (b) 6 am (e) 5 to 6 am

18.

(a) 50^oF (b)20^oF

19.

Rs 480 (interest on Rs 6500)

20.

10 min

21.

300 m

22.

In between 10 m to 20 m

23.

4 small division = 1 h (i.e 4 units = 1 h)

24.

3 h 30 min

25.

22 km

26.

Yes, he stops between 10 am to 10: 30 am.

27.

Between 8 am to 9 am

28.

29.

Uniform speed

30.

Moves with uniform speed, then comes to rest.

31.

Moves with non-uniform speed, then slowly comes to rest.

32.

Maximum temperature in ^oC for the two consecutive weeks.

33.

First Week

34.

Wednesday

35.

Friday

36.

Given, (5, 7)
In this point, x-coordinate (abscissa) is 5, i.e.
(x = 5).

37.

Given (0, 5)
In this point, x-coordinate (abscissa) is 0, i.e.
(x = 0).

38.

Given, (4, 0)
In this point, y-coordinate (ordinate) is 0 i.e.
y=0.

39.

Given, (2, 7)
In this point, y-coordinate (ordinate) is 7 i.e. y = 7.

40.

(i) Rs.25
(ii) Rs.700

41.

Yes ! it is a case of direction variation as
\(\frac { 100 }{ 10 } =\frac { 200 }{ 20 } =\frac { 300 }{ 30 } =\frac { 500 }{ 50 } =\frac { 1000 }{ 100 } \)
=10(constant)

CBSE 8th Mathematics Introduction to Graphs Model Questions Papers Study Material - QB365 Set B

QB365 Student Learing Managemnet System

Std: 8th Standard CBSE - Mathematics

chapter: Introduction to Graphs - Model Questions Papers

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Questions:

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Answers Key:

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