Introduction to Graphs Test

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Introduction to Graphs Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

Which peak is second highest?

A
B

B
A

C
C

D
E

Solution

$$\Rightarrow$$ 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 $$C$$.
Question 2
1 / -0

What is the average sale of all the branches (in thousand numbers) for the year $$2006$$?

A
$$73$$

B
$$80$$

C
$$83$$

D
$$88$$

Solution

Average sales of all the six branches (in thousand numbers) for the year $$2006$$
$$=\displaystyle\frac{1}{6}\, \times\, [80\,+\,75\,+\,95\,+\,85\,+\,75\,+\,70]$$
$$= 80$$
Question 3
1 / -0

Total sales of branches $$B_1\, , B_3,\, and\, B_5,$$ together for both the years (in thousand numbers) is:

A
$$250$$

B
$$310$$

C
$$435$$

D
$$560$$

Solution

Total sales of branches $$B_1,\, B_3,\, and\, B_5$$ together for both the years (in thousand numbers)$$= (80 + 105) + (95 + 110) + (75 +95) = 560$$
Question 4
1 / -0

Which of the points A, B, C and D below has the coordinates of the origin?

A
A(-3, 1)

B
B(0, 0)

C
C(1, 2)

D
D(9, 0)

Solution

The co-ordinates of origin are $$(0,0).$$
Thus, $$B$$ is the answer.
Question 5
1 / -0

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.

A
$$13.5\, \%$$

B
$$34.7\, \%$$

C
$$51.3\, \%$$

D
$$40.3\, \%$$

Solution

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 $$51.39\%$$
Question 6
1 / -0

Directions For Questions

A courier person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

...view full instructions

When did the person stop on his way?

A
9:00 a.m - 9.30 a.m

B
9:30 a.m - 10.00 a.m

C
10:00 a.m - 10.30 a.m

D
10:30 a.m - 11.00 a.m

Solution

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.
Question 7
1 / -0

Directions For Questions

A courier person cycles from a town to a neighboring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

...view full instructions

Fastest ride is from interval :

A
8 a.m to 9 a.m

B
9 a.m to 10 a.m

C
10 a.m to 11 a.m

D
11 a.m to 12 noon

Solution

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.
Question 8
1 / -0

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 ?

A
The $$F.P.S$$ teams together have won the greatest total number of basketball titles

B
The girls $$L.P.S$$ team has won exactly twice as many titles as the $$G.P.S$$ boys and girls teamsm together

C
The girls $$F.P.S$$ team has won more titles than the girls $$L.P.S$$ team

D
The $$L.P.S$$ teams together have won the greatest total number of basketball titles

Solution

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.
Question 9
1 / -0

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 $$2005$$?

A
$$110$$

B
$$105$$

C
$$100$$

D
$$95$$

Solution

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 $$2006 $$.
Question 10
1 / -0

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 $$2003$$?

A
$$14 : 17$$

B
$$16 : 13$$

C
$$15 : 11$$

D
$$13 : 15$$

Solution

Ratio will be $$ \cfrac{400}{325} = \cfrac{80}{65} = \cfrac{16}{13} = 16:13$$