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CBSE Questions for Class 8 Maths Introduction To Graphs Quiz 1 - MCQExams.com
CBSE
Class 8 Maths
Introduction To Graphs
Quiz 1
Coordinates of P are (a,b) where a is a root of the equation $$ x^{2} $$-x-42=0 and b is an intregral root of equation $$ x^{2} $$+ax+$$ a^{2} $$-37=The coordinates of P can be
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(6,4)
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(-7,-4)
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(-7,-3)
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(6,-3)
To which point the origin be shifted so that the new coordinates of $$( 7,2 )$$ would be $$( - 1,3 ) =$$
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$$( - 8,1 )$$
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$$( 8,-1 )$$
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$$( 6,5 )$$
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$$( - 7,1 )$$
For all values of $$a and b$$ the line $$\left(a + 2b\right) x + \left(a b\right)y + \left(a + 5b\right) = 0$$ passes through the point
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$$\left(-1, 2\right)$$
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$$\left(2, -1\right)$$
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$$\left(-2, 1\right)$$
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$$\left(1, -2\right)$$
If the vertices of a triangle be (a, b-c), (b, c-a) and (c,a-b), then the centro of the triangles lies-
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On y-axis
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Onx-axis
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At origin
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None of these
With the help of which of the following will you describe the position of a pen on a table?
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Coordinate geometry
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Algebra
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Trignometry
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Proportions
Explanation
Coordinate geometry is used to describe the position of an object lying in a plane.
$$( 1,2 ) , ( 3,6 )$$ are two opposite vertices of a rectangle and if the other two vertices lie on the line $$2 y = x + c,$$ then $$c$$ and other two
vertices are
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$$6 , ( 4,5 ) ( 0,3 )$$
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$$0 , ( 4,5 ) ( 0,3 )$$
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$$6 , ( 6,6 ) ( - 2,2 )$$
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$$6 , ( 8,7 ) ( 7,1 )$$
If A(9, -9), B(1, -3) are the ends of right angled isosceles triangle, then the third vertex is
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(8, -2)
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(-8, 2)
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(8,-8)
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none of these
If two vertices of a triangle are $$(-4, 3), (2, 6)$$ and the centroid is the origin, then the third vertex is
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$$(3, 1)$$
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$$(2, -9)$$
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$$(4, -1)$$
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$$(3, 0)$$
The following line graph shows the yearly sales figures for a manufacturing company.
Compute the difference between the sales (in Rs. crores) in $$2002$$ and $$2006$$.
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$$4$$
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$$6$$
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$$7$$
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$$10$$
Explanation
From the graph the value on $$y $$ - axis (denoting sales) for the year $$2002$$ is Rs $$4$$ crore.
From the graph the value on $$y $$ - axis (denoting sales) for the year $$2006$$ is Rs $$8$$ crore.
Difference in sales $$= 8 - 4$$ = $$4$$ crore.
The patient's temperature was same for two times during the period given. These two times were:
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1 pm and 2 pm
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2 pm and 3 pm
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12 noon and 3 pm
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9 am and 10 pm
Explanation
From the graph the temperature curve is straight at 1 PM and at 2 PM.
This denotes that the temperature of the patient remained same from 1 PM to 2 PM
Hence, the answer is 1 pm and 2 pm.
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales in
$$2005$$?
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$$4$$
0%
$$6$$
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$$7$$
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$$10$$
Explanation
From the graph the value on $$y - axis$$ (denoting sales) for the year $$2005$$ is Rs. $$10$$ crore
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in $$2002$$?
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$$2$$
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$$4$$
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$$6$$
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$$8$$
Explanation
As shown in the above graph, $$y$$ axis represents the sales(in crores) and $$x$$ axis represents the years.
So in the year $$2002$$ the sales were upto $$4$$ crore.
_____ represents data that changes continuously over period of time.
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Line graph
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Pie graph
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Bar graph
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Histogram
Explanation
The line graphs
shows a change in data over time. A line graph
is useful for displaying data or information that changes continuously over time. Another name for a line graph is a line chart.
Hence, option A is correct.
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in
$$2006$$?
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$$2$$
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$$4$$
0%
$$6$$
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$$8$$
Explanation
From the graph the value on $$y - axis$$ (denoting sales) for the year $$2006$$ is Rs $$8$$ crore
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in
$$2003$$?
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$$6$$
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$$7$$
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$$8$$
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$$10$$
Explanation
From the graph the value on $$y - axis$$ (denoting sales) for the year $$2003$$ is Rs $$7$$ crore
What is the approximate ratio of the sales of Medimix in $$2007$$ to the sales of Hamam in $$2010$$?
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$$3:2$$
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$$1:3$$
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$$2:3$$
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$$3:1$$
Explanation
The approximate ratio of the sales of Medimix in $$2007$$ to the sales of Hamam in $$2010$$ is:
Required ratio $$=$$ $$\dfrac{15}{10}$$
Ratio $$= 3:2$$
Draw a graph for the following:
Side of square (in cm)
2
3
4
5
6
Area (in cm$$^2$$)
4
9
16
25
36
Is the graph linear?
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Yes
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No
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Cannot be determined
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None of these
Explanation
Plotting the given points on the graph, we get a graph as shown in the figure above.
As seen in the graph, the points do not lie on the same straight line.
Hence, the graph is not linear.
Which of the following are types of graph which include bars?
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Bar graph
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Pie graph
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Histogram
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Line graph
Explanation
A bar graph is a graphical representation of data using bars of different heights.
Histogram is also a graphical representation of data using bars of different heights but it groups the numbers into ranges.
Hence, option A and C are correct.
In which of the following graph point
$$\left ( 3,6 \right )$$ has been plotted correctly ?
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0%
0%
0%
None of these
The bar-graph provided gives the sales of books (in thousands) from six branches of a publishing company during two consecutive years $$2006$$ and $$2007.$$ Answer the question based on this bar-graph.
What is the ratio of the total sales of branch $$B_2$$ for both years to the total sales of branch $$B_4$$ for both years?
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$$2 : 3$$
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$$3 : 5$$
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$$13 : 18$$
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$$7 : 9$$
Explanation
Total sale of branch $$B_2$$ in two years$$=(75+55)\ thousands=130\ thousands$$
Total sale of branch $$B_4$$ in two years$$=(85+95)\ thousands=180\ thousands$$
Required ratio $$=\displaystyle\frac{130}{180}$$
$$=\displaystyle\frac{13}{18}$$
Hence, the required ratio is
$$13:18$$ .
The bar chart shows the number of workers employed by a trading companyin three years. Calculate the difference
between the total number of male and female workers employed over those three years.
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1
0%
2
0%
4
0%
6
Explanation
The number of male workers in $$2003=5$$,
t
he number of male workers in $$2004=7$$ and
the number of male workers in $$2005=9$$.
So the total of male workers in $$3 yrs.=5+7+9=21$$.
Again
The number of female workers in $$2003=8$$,
t
he number of female workers in $$2004=9$$ and
the number of female workers in $$2005=5$$.
So the total of female workers in $$3 yrs.=8+9+5=22$$.
$$\therefore $$ The difference between the male & female workers $$=22-21=1$$.
Ans- Option A.
On joining the points if we get a straight line, that graph is called.
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Bar graph
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Pie chart
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Line graph
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None of these
Explanation
A chart which displays information as a series of data points connected by straight line is known as line grap
h.
The line graph shows the monthly expenditure of Vasu family. The total expenditure over the first $$3$$ months is
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$$Rs. 320$$
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$$Rs. 600$$
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$$Rs. 1100$$
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$$Rs. 1400$$
Explanation
In the graph, 1 unit on y-axis $$=Rs.100$$
The monthly expenses of Basu family in the month of
In January, the expenditure is marked upto $$5$$ units $$=Rs.500$$
In February
, the expenditure is marked upto
$$6$$ units $$=Rs.600$$
In March
, the expenditure is marked upto
$$3$$ units $$=Rs.300$$
$$\therefore $$ The total expenditure over the first $$3$$ months
$$=Rs.(500+600+300)$$
$$=Rs.1400$$
Which of the following represents data that continuously changes over periods of time?
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Bar graph
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Circle graph
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Histogram
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Line graph
Explanation
Data that is arranged in columns or rows on a worksheet can be plotted in a line chart. Line charts can display continuous data over time, set against a common scale, and are therefore ideal for showing trends in data at equal intervals. In a line chart, category data is distributed evenly along the horizontal axis, and all value data is distributed evenly along the vertical axis
Hence, answer is Line graph
The given line graph shows the growth rate of a kitten During which $$2$$ month period the kittens weight increased the most
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$$0$$ to $$2$$ months
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$$2$$ to $$4$$ months
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$$4$$ to $$6$$ months
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$$6$$ to $$8$$ months
Explanation
The line graph shown is steepest from the period of $$2$$ months to $$4$$ months showing that the growth is maximum
The bar chart represents the data given in the frequency table shown below. The bar for which year is incorrectly drawn?
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1995
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1996
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1997
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1998
A _____ is the representation of data by using graphical symbols such as lines, bars, pie slices, histogram etc.
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flow chart
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diagram
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equation
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graph
Explanation
A graph is the representation of data by using graphical symbols such as lines, bars, pie slices, histogram etc.
Example: Line graph representing the temperature of $$8$$ days.
A graph showing two sets of data simultaneously is known as
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pictograph
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histogram
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pie chart
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double bar graph
Explanation
Answer;- A graph showing two sets of data simultaneously is known as a double bar graph.
So the correct option is D.
Rectangle bars touching each other in which graph ______.
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histogram
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bar
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pie
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line
Explanation
Rectangle bars touching each other in histogram graph.
Example:
In which graph, rectangle bars are separated?
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line
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pie
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bar
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histogram
Explanation
In bar graph, rectangle bars are separated.
Example:
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