1 Marks Question - MATHS STD 8 Questions - Vidyadip

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1 Marks Question

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15 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark

Each of the following pie charts (see the following figures), gives you a different plece of information about your class. Find the fraction of the circle representing each of these information.

Answer

(i) Here, given pie chart shows $100 \%$ students of your class, out of which $50 \%$ are girls and $50 \%$ are boys.
$\therefore$ Fraction of the circle representing girls
$=\frac{\text { Percentage of girls }}{\text { Percentage of all students }}=\frac{50}{100}=\frac{1}{2}\quad$ [dividing numerator and denominator by 50]
Fraction of the circle representing boys
$=\frac{\text { Percentage of boys }}{\text { Percentage of all students }}=\frac{50}{100}=\frac{1}{2}\quad$ [dividing numerator and denominator by 50]
(ii) Do same as part (i)
(iii) Do same as part (i)

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Question 21 Mark

Percentage wins in ODI by 8 top cricket teams.

Teams	From Champions Trophy to World Cup 2006	Last 10 ODI in 2007
South Africa	75%	78%
Australia	61%	40%
Sri Lanka	54%	38%
New Zealand	47%	50%
England	46%	50%
Pakistan	45%	44%
West Indies	44%	30%
India	43%	56%

Answer

Here, comparison between percentage wins in ODI by 8 top cricket teams is given, so to represent the given information, we draw the double bar graph. So, draw two perpendicular axes OX and OY. Take teams on OX and percentage wins in ODI on OY. Choose a suitable scale for OX and OY to draw double bar graph.

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Question 31 Mark

Draw an appropriate graph to represent the given information.

Children who prefer	School A	School B	School C
Walking	40	55	15
Cycling	45	25	35

Answer

Here, comparison of two activities is given, so to represent the given information, we draw the double bar graph.
So, draw two perpendicular axes OX and OY. Take schools on OX and number of children on OY. Choose a suitable scale for OX and OY to draw double bar graph.
Thus, we get the following double bar graph

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Question 41 Mark

Draw an appropriate graph to represent the given information.

Months	Number of watches sold
July	1000
August	1500
September	1500
October	2000
November	2500
December	1500

Answer

Here, to represent the given information, we draw the bar graph. So, draw two perpendicular axes OX and OY. Take months on OX and number of watches sold on OY. Choose a suitable scale for OX and OY and draw bars of equal width with equal gaps in between. Thus, we get the following bar graph

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Question 51 Mark

If we change the position of any of the bars of a bar graph, would it change the information being conveyed? Why?

Answer

No, because bar heights give the quantity for each category. Since, the height remains unchanged. So, the information conveyed regarding the quantity remain unchanged.

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Question 61 Mark

Choice of food for a group of people.

Favourite food	Number of people
North Indian	30
South Indian	40
Chinese	25
Others	25
Total	120

Answer

To display choice of food for a group of people, bar graph is more appropriate.

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Question 71 Mark

Which form of graph would be approprlate to display the following data?
Production of food grains of a state.Which form of graph would be approprlate to display the following data?
Production of food grains of a state.

Years	2001	2002	2003	2004	2005	2006
Production (in lakh tonnes)	60	50	70	55	80	85

Answer

To display the production of food grains of a state, bar graph is more appropriate.

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Question 81 Mark

A bar graph showing two sets of data simultaneously. It is useful for the comparison of the data.

(i) What is the information given by the double bar graph?
(ii) In which subject has the performance improved the most?
(iii) In which subject has the performance deteriorated?
(iv) In which subject is the performance at par?

Answer

From the given double bar graph, we find that
(i) The double bar graph gives the information about the comparision of marks in different subjects obtained by a student in the years 2005-06 and 2006-07.
(ii) The performance has improved the most in Maths.
(iii) The performance has deteriorated in English.
(iv) The performance has remained at par in Hindi.

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Question 91 Mark

Read the following bar graph and answer the following questions

(i) What is the information given by the bar graph?
(ii) In which year is the increase in the number of students maximum?
(iii) In which year is the number of students maximum?
(iv) State whether true of false:
'The number of students during 2005-06 is twice that of 2003-04.'

Answer

From the given bar graph, we find that
(i) The information given by the bar graph is the number of students in Class VIII in various academic years in the school.
(ii) In the year 2004-05, increase in the number of students is maximum.
(iii) The number of students is maximum in the year 2007-08.
(iv) False, because the number of students during 2005-06 is more than twice that of 2003-04.

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Question 101 Mark

Read the following pictograph and answer the following questions.

(i) How many cars were produced in the month of July?
(ii) In which month were maximum number of cars produced?

Answer

From the above pictograph, we observe that
(i) 250 cars were produced in the month of July.
(ii) The maximum number of cars were produced in the month of September i.e. 400.

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Question 111 Mark

The probability of the occurence of an event is $\frac{3}{4}.$ Find the probability of non-occurence of that event.

Answer

Given, probability of occurence of that event $=\frac{3}{4}$
$\begin{aligned}\therefore \text { Probability of non-occurence } & =1-\frac{3}{4} \\& =\frac{1}{4}\end{aligned}$

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Question 121 Mark

Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing that has the number 2 on it?

Answer

$\because$ Total number of outcomes $=5$
$\therefore$ Required probability $=\frac{2}{5}$

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Question 131 Mark

The probability that it will rain tomorrow is 0.25. What is the probability that it will not rain tomorrow?

Answer

Given, probability that it will rain tomorrow $=0.25$
$\therefore$ Probability that it will not rain tomorrow
$\begin{array}{l}=1-\text { Probability that it will rain tomorrow } \\=1-0.25=0.75\end{array}$

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Question 141 Mark

(i) Which is the most favourable game?
(ii) Find the angle of sector of circle for Chess players.

Answer

(i) The most favourable game is Tennis.
(ii) Fraction value of Chess $=\frac{1}{4}$
$\therefore$ Angle of sector $=360^{\circ} \times \frac{1}{4}=90^{\circ}$

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Question 151 Mark

Find the fraction of the circle representing each of these information.

Answer

$\text {Golf players }=\frac{3}{20} $
$ \text {Hockey players }=\frac{1}{5} $
$ \text {Tennis players }=\frac{2}{5} $
$ \text {and Chess players }=\frac{1}{4}$

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1 Marks Question - MATHS STD 8 Questions - Vidyadip