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CBSE Questions for Class 8 Maths Introduction To Graphs Quiz 4 - MCQExams.com
CBSE
Class 8 Maths
Introduction To Graphs
Quiz 4
3 weeks?
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0%
$$7cm$$
0%
$$8cm$$
0%
$$9cm$$
0%
$$10cm$$
Explanation
In the given graph, The straight line represents the growth of the Plant $$B$$.
From the graph, we can observe that after $$3$$ weeks Plant $$B$$ has grown $$10\space cm$$
Days when the forecast temperature the same as the actual temperature are:
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Tuesday, Wednesday and Thursday
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Tuesday, Friday and Sunday
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Thursday, Friday and Saturday
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Tuesday, Thursday and Monday
Explanation
In the given graph, the straight line represents the actual temperature and the dotted line represents the forecast temperature.
From the graph, we can observe that both the actual and forecast temperature graphs intersect at Tuesday, Friday and Sunday.
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.
How much did Plant A grow during the 3rd week?
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$$2cm$$
0%
$$3cm$$
0%
$$4cm$$
0%
$$5cm$$
Explanation
In the given graph, The dotted line represents the growth of the Plant $$A$$.
From the graph, we can observe that after $$2$$ weeks Plant $$A$$ has grown $$7\space cm$$ and
after $$3$$ weeks Plant $$A$$ has grown $$9\space cm$$
Therefore, during $$3^{rd}$$ week Plant $$A$$ has grown $$9-7=2\space cm$$
What was the minimum actual temperature during the week?
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$$5$$
0%
$$10$$
0%
$$15$$
0%
$$20$$
Explanation
In the given graph, the straight line represents the actual temperature.
From the graph, we can observe that the minimum temperature was $$15^0C$$ which was observed on Thursday and Friday.
The actual temperature differs the most from the forecast temperature on:
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Tuesday
0%
Wednesday
0%
Thursday
0%
Friday
Explanation
In the given graph, the dotted line represents the forecast temperature and the straight line represents the actual temperature.
From the graph, we can observe that the actual temperature and the forecast temperature differs mostly on Thursday i.e., the maximum difference between actual and forecast temperature ($$23.5-15=8.5$$)
How far is the place of the merchant from the town?
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$$16$$
0%
$$18$$
0%
$$20$$
0%
$$22$$
Explanation
It is given that the courier person travels from town to a neighboring suburban area.
From the graph, we can observe that the destination place is $$22\space k.m.$$ from the town.
Value of $$y$$ increases exponentially from $$y=-4$$ to $$y= +4$$, then plot a $$x-y$$ graph for the given constraint.
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0%
0%
0%
Which is the highest peak?
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0%
A
0%
E
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C
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B
Explanation
It can be clearly seen from the graph that E has the highest peak with value $$9000$$.
John made the given grid to show the location of some things in his garden. Which ordered pair best represents the point on the grid labelled "Tree" ?
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$$(2, 6)$$
0%
$$(3, 1)$$
0%
$$(1, 3)$$
0%
Noneofthese
Explanation
According to the john's location, Tree is at a distance of $$1$$ unit form y-axis and $$3$$ units form x-axis
Therefore the coordinates are $$(1,3)$$[since distance form y-axis =x coordinate,distance from x-axis = y coordinate]
Which peak is second highest?
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0%
B
0%
A
0%
C
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E
Explanation
$$\Rightarrow$$ From the graph we can form a table.
$$Mountain\,Peaks$$
$$Height\,in\,meters$$
$$A$$
$$8200$$
$$B$$
$$6000$$
$$C$$
$$8600$$
$$D$$
$$7500$$
$$E$$
$$8800$$
$$F$$
$$6500$$
$$\Rightarrow$$ In above table we can see peak $$E$$ has highest height $$8800\,m$$
$$\Rightarrow$$ After peak $$E$$, peak $$C$$ has second highest height which is $$8600\,m$$
$$\therefore$$ The peak which has second highest height is $$C$$.
What is the average sale of all the branches (in thousand numbers) for the year $$2006$$?
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$$73$$
0%
$$80$$
0%
$$83$$
0%
$$88$$
Explanation
Average sales of all the six branches (in thousand numbers) for the year $$2006$$
$$=\displaystyle\frac{1}{6}\, \times\, [80\,+\,75\,+\,95\,+\,85\,+\,75\,+\,70]$$
$$= 80$$
The pie chart shows four different modes of transport to school for a group of students. Calculate the percentage of students who go to school by bus.
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0%
$$13.5\, \%$$
0%
$$34.7\, \%$$
0%
$$51.3\, \%$$
0%
$$40.3\, \%$$
Explanation
The arc length of a sector, in degrees, is equal to the central angle. The total number of degrees of a circle is $$360^o.$$ Therefore, we can use the
Central angle which represents bus group is $$185^o$$
Now, proportionating the given angle to calculate the percentage.
$$\dfrac{185^o}{360^o}=\dfrac{x}{100}$$
$$x=\dfrac{185\times 100}{360}$$
$$\therefore$$ $$x=51.39\%$$
$$\therefore$$ The percentage of students who go to school by bus is $$51.39\%$$
Which of the points A, B, C and D below has the coordinates of the origin?
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A(-3, 1)
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B(0, 0)
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C(1, 2)
0%
D(9, 0)
Explanation
The co-ordinates of origin are $$(0,0).$$
Thus, $$B$$ is the answer.
Total sales of branches $$B_1\, , B_3,\, and\, B_5,$$ together for both the years (in thousand
numbers) is:
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$$250$$
0%
$$310$$
0%
$$435$$
0%
$$560$$
Explanation
Total sales of branches $$B_1,\, B_3,\, and\, B_5$$ together for both the years (in thousand numbers)$$= (80 + 105) + (95 + 110) + (75 +
95) = 560$$
When did the person stop on his way?
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9:00 a.m - 9.30 a.m
0%
9:30 a.m - 10.00 a.m
0%
10:00 a.m - 10.30 a.m
0%
10:30 a.m - 11.00 a.m
Explanation
The person had stopped between the time $$10$$ a.m to $$10.30$$ a.m.
This can be easily concluded since the curve on the graph between these times was horizontal to the x-axis which means no distance travelled.
Hence, option C is correct.
Fastest ride is from interval :
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8 a.m to 9 a.m
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9 a.m to 10 a.m
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10 a.m to 11 a.m
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11 a.m to 12 noon
Explanation
Time
Period
Distance
covered
8am-9am
$$10 - 0 = 10 km$$
9am-10am
$$16 - 10 = 6 km$$
10am-10.30am
$$0 km$$
10.30am-12am
$$22 - 16= 6 km$$
The person ride fastest during 8am to 9am.
The graph shows the number of basketball titles won by the boys team and the girls team for three different school teams.
Based on the data in the graph, which of the following statements is true ?
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The $$F.P.S$$ teams together have won the greatest total number of basketball titles
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The girls $$L.P.S$$ team has won exactly twice as many titles as the $$G.P.S$$ boys and girls teamsm together
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The girls $$F.P.S$$ team has won more titles than the girls $$L.P.S$$ team
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The $$L.P.S$$ teams together have won the greatest total number of basketball titles
Explanation
From the graph, F.P.S girls and boys team together won total title $$=16+10 =26$$
L.P.S Girls and Boys team together won total title $$ = 11+17 = 28 $$
G.P.S Girls and Boys team together won total title $$ = 6+6 = 12$$
Hence, L.P.S Boys and Girls teams together won Greatest number of title.
Study the graph carefully and answer the question:
The number of people who prefer playing Tennis in $$2006$$ is how many millions less than the number of people who prefer playing Tennis in $$2005$$?
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0%
$$110$$
0%
$$105$$
0%
$$100$$
0%
$$95$$
Explanation
In $$2005$$, $$275$$ millions people were playing tennis while in $$2006$$, it drops to $$175$$ millions.
$$ 275-175 = 100$$ million less people playing tennis in $$2006 $$.
What is the ratio of the number of people who prefer playing Cricket in $$2001$$ to the number of people who prefer playing Tennis in the year $$2003$$?
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$$14 : 17$$
0%
$$16 : 13$$
0%
$$15 : 11$$
0%
$$13 : 15$$
Explanation
Ratio will be $$ \cfrac{400}{325} = \cfrac{80}{65} = \cfrac{16}{13} = 16:13$$
Study the above graph and calculate
the average numbers of cars manufactured by Company $$X$$ over the given period.
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0%
$$200{,}000$$
0%
$$100{,}000$$
0%
$$300{,}000$$
0%
$$400{,}000$$
Explanation
Average number of cars manufactured by Company $$X$$
$$=\cfrac{1}{6}[100000 + 80000 + 60000 + 120000 + 80000 + 160000]$$
$$=\cfrac{1}{6}[600000]$$
$$= 100,000$$
Study the above graph and calculate the average numbers of cars manufactured by Company $$Y$$ over the given period.
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0%
$$96{,}666.66$$
0%
$$86{,}666.66$$
0%
$$76{,}666.66$$
0%
$$66{,}666.66$$
Explanation
Average number of cars manufactured by Company $$Y$$
$$=\cfrac{1}{6}[80000 + 60000 + 100000 + 80000 + 120000 + 140000]$$
$$= \cfrac{1}{6}[580000]$$
$$= 96{,}666.66$$
Study the above graph and calculate the difference between the number of cars manufactured by company $$Y$$ in $$2001$$ and $$2000$$?
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0%
$$20000$$
0%
$$30000$$
0%
$$40000$$
0%
$$50000$$
Explanation
Number of cars manufactured by company $$Y$$ in $$2001$$ $$=80000$$
Number of cars manufactured by company $$Y$$ in $$2000$$ $$= 100000$$
The difference is $$ 100000-80000 = 20000$$
For a point A$$(a, b)$$ lying in quadrant III
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$$a > 0, b < 0$$
0%
$$a < 0, b < 0$$
0%
$$a > 0, b > 0$$
0%
$$a < 0, b > 0$$
Explanation
$$A(a,b)$$
$$a < 0 $$ $$b < 0$$
Hence, the option $$B$$ is correct
Study the above graph and calculate
the difference between the number of cars manufactured by Company $$X$$ in $$2001$$ and $$2002$$?
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0%
$$20000$$
0%
$$30000$$
0%
$$40000$$
0%
$$50000$$
Explanation
Number of cars manufacturd by $$X$$ in $$2001 = 120000$$
Number of cars manufactured by $$ X$$ in $$2002=80000$$
The difference is $$120000-80000=40000$$
Which city has more people reading newspaper than watching T.V?
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0%
Patna
0%
Kolkata
0%
Mumbai
0%
Delhi
Explanation
Given that bar with lines in the people reading newspaper and the empty bar is the people watching TV.
From the given graph, we can observe that the Patna has the height of the bar with lines more than the empty bar.
Therefore, the city Patna has more people reading newspaper than people watching TV.
Using the line graph, find the average income of sportsman during the period $$2000-2003$$.
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0%
$$187.5 $$ crores
0%
$$287.5$$ crores
0%
$$387.5$$ crores
0%
$$487.5$$ crores
Explanation
Average income os sportsman from the year $$2000-2003 =$$ $$\dfrac{210 + 440 + 300 + 200}{4}$$
$$=$$ $$\dfrac{1150}{4}$$
$$= 287.5$$ crores
Find the ratio of the total sales of laptop in Rajasthan state for both years to the total sales of laptop in Gujarat state for both years?
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0%
$$8:13$$
0%
$$13:8$$
0%
$$11:8$$
0%
$$8:11$$
Explanation
Sales of laptop in Rajasthan state $$= 10 + 12 = 22$$
Sales of laptop in Gujarat state $$= 12 + 4 = 16$$
So, the ratio $$=$$ $$\dfrac{22}{16}$$
Ratio $$= 11:8$$
The number of washing machines purchased in the past $$35$$ weeks is given in a line graph. Find the total number of washing machines purchased in $$20$$ weeks.
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$$140$$
0%
$$150$$
0%
$$160$$
0%
$$170$$
Explanation
The total number of washing machines purchased in $$20$$ weeks $$= 10 + 20 + 40 + 90 = 160$$
What is the average sales of laptop of all the states (in hundred numbers) for the year $$2005$$?
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$$12.24$$
0%
$$13.14$$
0%
$$14.45$$
0%
$$15.23$$
Explanation
Average sales in $$2005 =$$ $$\dfrac{1}{7}[5+20+15+12+13+15+12]$$
$$=$$ $$\dfrac{1}{7}[92]$$
$$= 13.14$$
Find the average sales of laptop of all the states for the year $$2004$$.
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0%
$$9.71$$
0%
$$11.71$$
0%
$$14.45$$
0%
$$15.23$$
Explanation
Average sales in $$2004 =$$ $$\dfrac{1}{7}[10+6+12+10+20+6+4]$$
$$=$$ $$\dfrac{1}{7}[68]$$
$$= 9.71$$
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