Data Handling - Gujarat Board (GSEB) STD 8 MATHS Questions

Q 1M.C.Q. [1 Marks Each]1 Mark

Ram puts some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?

A
$\frac{7}{20}$
B
$\frac{3}{5}$
✓
$\frac{1}{5}$
D
$\frac{1}{4}$

Answer: C.

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Q 2M.C.Q. [1 Marks Each]1 Mark

Which of the following Is not a random experiment?

A
Tossing a coin
B
Rolling a die
C
Choosing a card from a deck of 52 cards
✓
Throwing a stone from a roof of a building

Answer: D.

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Q 3M.C.Q. [1 Marks Each]1 Mark

A pie chart (as shown below) represents 45 people's choice, then the number of people who like bananas, is

A
10
✓
15
C
20
D
25

Answer: B.

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Q 4M.C.Q. [1 Marks Each]1 Mark

Rahul, Varun and Yash are playing a game of spinning a coloured wheel. Rahul wins, if spinner lands on red. Varun wins, if spinner lands on blue and Yash wins, if it lands on green. Which of the following spinner should be used to make the game fair?

Answer: D.

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Q 5M.C.Q. [1 Marks Each]1 Mark

Monthly salary of a person is ₹ 45000. The central angle of the sector representing his expenses on food and house rent on a ple chart is $60^{\circ}$. The amount he spends on food and house rent is

✓
₹ 7500
B
₹ 4500
C
₹ 2500
D
₹ 6000

Answer: A.

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Q 6TRUE-FLASE [1 Marks Each]1 Mark

The central angle of a sector in a pie chart can not be more than $180^{\circ}.$

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Q 7TRUE-FLASE [1 Marks Each]1 Mark

In a throw of a die, the probability of getting an odd number is the same as that of getting an even number.

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Q 8TRUE-FLASE [1 Marks Each]1 Mark

The probability of getting a number 6 in a throw of a die is $\frac{1}{6}$. Similarly, the probability of getting a number 4 is $\frac{1}{4}$.

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Q 9TRUE-FLASE [1 Marks Each]1 Mark

One or more outcomes of an experiment make an event.

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Q 10TRUE-FLASE [1 Marks Each]1 Mark

The total number of outcomes when a coin is tossed is 6.

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Q 11Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A) A fair six-sided die is rolled, and the chance of rolling a number greater than 4 is $\frac{1}{3}$.
Reason (R) The pie chart representation of the outcomes of rolling a fair six-sided die shows that there are 2 out of 6 equal sections representing numbers greater than 4 which is $\frac{1}{3}$ of the total sections.

✓
Both A and R are true and R is the correct explanation of A.
B
Both A and R are true but R is not the correct explanation of A.
C
A is true but R is false.
D
A is false but R is true.

Answer: A.

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Q 12Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A) In a class of 40 students, a pie chart shows that $25\%$ of the students prefer pizza.
Reason (R) If a student is randomly selected from the class, there is a $25 \%$ chance that they will prefer pizza.

✓
Both A and R are true and R is the correct explanation of A.
B
Both A and R are true but R is not the correct explanation of A.
C
A is true but R is false.
D
A is false but R is true.

Answer: A.

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Q 132 Marks Questions2 Marks

Suppose you spin the wheel

(i) List the number of outcomes of getting a green sector and not getting a green sector on this wheel (in the above figure).
(ii) Find the probability of getting a green sector.
(iii) Find the probability of not getting a green sector.

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Q 142 Marks Questions2 Marks

Find the probabilities of the events given in
(i) (a) a prime number.
$\quad$(b) not a prime number.
(ii) (a) a number grater than 5.
$\quad$(b) a number not greater than 5.

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Q 152 Marks Questions2 Marks

If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, then what is the probability of getting a green sector? What is the probability of getting a non-blue sector?

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Q 162 Marks Questions2 Marks

Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of
(i) getting a number 6?
(ii) getting a number less than 6?
(iii) getting a number greater than 6?
(iv) getting a one-digit number?

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Q 172 Marks Questions2 Marks

Find the
(i) probability of the pointer stopping on spinning a wheel

(ii) probability of getting an ace from a well shuffled deck of 52 playing cards?
(iii) probability of getting a red apple (see figure below).

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Q 183 Marks Question3 Marks

Draw a pie chart of the data given below The time spent by a child during a day.

Sleep	8 h
School	6 h
Home work	4 h
Play	4 h
Others	2 h

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Q 193 Marks Question3 Marks

Answer the following questions based on the pie chart in following figure
(i) Which type of programmes are viewed the most?
(ii) Which two types of programmes have number of viewers equal to those watching sports channels?

Viewers watching different types of channels on TV

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Q 203 Marks Question3 Marks

The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, then answer the following questions:

(i) In which subject did the student score 105 marks?
[Hint : for 540 marks, the central angle $=360^{\circ}$.
So, for 105 marks, what is the central angle?]
(ii) How many more marks were obtained by the student in Mathematics than in Hindi?
(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
[Hint : Just study the central angles.]

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Q 213 Marks Question3 Marks

Identify which symbol should appear in each sector.

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Q 223 Marks Question3 Marks

(i) From a pack of cards, the following cards are kept face down

Suhail wins, if he picks up a face card. Find the probability of Suhail winning?
(ii) Now, the following cards are added to the above cards:

What is the probability of Suhail winning now? Reshma wins, if she picks up a 4. What is the probability of Reshma winning? [queen, king and jack cards are called face cards.]

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Q 23MATCH THE FOLLOWING.4 Marks

Column A	Column B
(a) The probability of choosing a vowel from the alphabets is	(i) Central angle
(b) The angle formed at the centre of a pie chart slice which corresponds to the proportion of data it represents.	(ii) $\frac{5}{26}$
(c) Each portion of a _____________ that represents a specific data value or category.	(iii) $\frac{1}{6}$
(d) A die is thrown. The probability of getting 2 on it is	(iv) pie chart

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Q 241 Marks Question1 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.

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Q 251 Marks Question1 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%