# NCERT Solutions for Class 8 Maths

Find 100% accurate solutions for NCERT Class VIII Math. All questions have been explained and solved step-by-step, to help you understand thoroughly. Free Download option available!

1.    Since, Histogram is a graphical representation of data, if data represented in manner of class-interval.

Therefore, for case (b) and (d), we would be use a histogram to show the data, because in these cases, data can be divided into class-intervals.

In case (b), a group of competitions having different heights in an athletics meet.

In case (d), the number of passengers boarding trains in an interval of one hour at a station.

2.   The frequency distribution table is as follows:

The illustration of data by bar-graph is as follows:

3.   The representation of data by frequency distribution table using tally marks is as follows:

4.    (i) 830 – 840 group has the maximum number of workers.

(ii) 10 workers can earn more than ` 850.

(iii) 20 workers earn less than ` 850.

5.    (i) The maximum number of students watched T.V. foe 4 – 5 hours.

(ii) 34 students watched T.V. for less than 4 hours.

(iii) 14 students spent more than 5 hours in watching T.V.

6.    (i) 10% represents 100 people.

Therefore 20% represents  people

Hence, 200 people were surveyed.

(ii) light music is liked by the maximum number of people.

(iii) CD’s of classical music

CD’s of semi-classical music

CD’s of light music

CD’s of folk music

7.    (i) Winter season got the most votes.

(ii) Central angle of summer season =

Central angle of rainy season

Central angle of winter season

(iii)

8.   Here central angle = 360° and total number of people = 36

9.

(i) The student scored 105 marks in Hindi.

(ii) Marks obtained in Mathematics = 135

Marks obtained in Hindi = 105

Difference = 135 – 105 = 30

Thus, 30 more marks were obtained by the student in Mathematics than in Hindi.

(iii) The sum of marks Social Science and Mathematics = 97.5 + 135 = 232.5

The sum of marks in Science and Hindi = 120 + 105 = 225

Yes, the sum of the marks in Social Science and Mathematics is more than that in Science and Hindi.

10.

Pie chart at above given data is as follows

11.  (a) There are four letters A, B, C and D in a spinning wheel. So there are 4 outcomes.

(b) When two coins are tossed together. There are four possible outcomes HH, HT, TH, TT.

(Here HT means head on first coin and tail on second coin and so on.)

12.  (i) (a) Outcomes of event of getting a prime number are 2, 3, and 5.

(b) Outcomes of event of not getting a prime number are 1, 4 and 6.

(ii) (a) Outcomes of event of getting a number greater than 5 is 6.

(b) Outcomes of event of not getting a number greater than 5 are 1, 2, 3, 4 and 5.

13.  (a) In a spinning wheel, there are five pointers A, A, B, C, D. So there are five outcomes. Pointer stops at D which is one outcome.

So the probability of the pointer stopping on D =

(b) There are 4 aces in a deck of 52 playing cards. So, there are four events of getting an ace.

So, probability of getting an ace

(c) Total number of apples = 7

Number of red apples = 4

Probability of getting red apple

14.  (i) Outcome of getting a number 6 from ten separate slips is one.

Therefore, probability of getting a number

(ii) Numbers less than 6 are 1, 2, 3, 4 and 5 which are five. So there are 5 outcomes.

Therefore, probability of getting a number less than

(iii) Number greater than 6 out of ten that are 7, 8, 9, 10. So there are 4 possible outcomes.

Therefore, probability of getting a number greater than

(iv) One digit numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 out of ten.

Therefore, probability of getting a 1-digit number

15.  There are five sectors. Three sectors are green out of five sectors. Therefore, probability of getting a green sector =

There is one blue sector out of five sectors.

Non-blue sectors = 5 – 1 = 4 sectors

Therefore, probability of getting a non-blue sector

16.  When a die is thrown, there are total six outcomes, i.e., 1, 2, 3, 4, 5 and 6.

(i) (a) 2, 3, 5 are prime numbers. So there are 3 outcomes out of 6.

Therefore, probability of getting a prime number

(b) 1, 4, 6 are not the prime numbers. So there are 3 outcomes out of 6.

Therefore, probability of getting a prime number

(ii) (a) Only 6 is greater than 5. So there is one outcome out of 6.

Therefore, probability of getting a number greater than

(b) Numbers not greater than 5 are 1, 2, 3, 4 and 5. So there are 5 outcomes out of 6.

Therefore, probability of not getting a number greater than

MySchoolPage connects you with exceptional, certified math tutors who help you stay focused, understand concepts better and score well in exams!