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NCERT Solutions for Class 10 Maths in PDF updated for

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality.

Stansard the mean number of plants per house. Which method did you use for finding the mean, and why? We can calculate the mean as: Thus, mean number of plants per house is 8. Since, values of x i and f i are small We have used the direct method. Consider the following distribution of daily wages of 50 workers of a factory. Find the mean daily wages of the workers of the factory by using an appropriate method.

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs. Find the missing frequency f. Thirty women were examined in a hospital by a doctor and the number soluyions heart beats per minute were recorded and summarised as follows.

Find the mean heart beats per minute for these women, choosing a suitable cbss. In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained carying number of mangoes. The following was the distribution of mangoes according to the number Find the mean number of mangoes kept in a packing box. Which of finding the mean did you choose? The table below shows the daily expenditure solhtions food of 25 households in a locality.

Find the mean daily expenditure on food by a suitable method. To find out the concentration of SO 2 in the air in parts per million, i. A class teacher has the following absentee record cbse 10th standard maths solutions us 40 students of a class for the whole term.

Find the mean number of days a student was absent. The following table gives the literacy solutione in percentage of 35 cities. Standarc the mean literacy rate. Thus, the mean literacy rate is Exercise The following table shows the ages of the patients admitted in a hospital during a year: Stadnard the mode and the mean of the data given. Compare and interpret stndard two measures of central tendency.

Mode: Here, the highest frequency is The frequency 23 corresponds to the class interval 35 � Cbse 10th standard maths solutions us following data gives the information on 10tb observed lifetimes in hours of electrical components: Determine the modal lifetimes of the components. Thus, the required modal life times of the components is The following data gives the distribution of total monthly household expenditure of families of a village.

Find the modal monthly ependiture of the families. Also, the mean monthly expenditure: Sol. Mode: The maximum number of families 40 have their total monthly expenditure is in interval � Modal class is � cbse 10th standard maths solutions us The following distribution gives the state-wise teacher-student ratio cbse 10th standard maths solutions us higher secondary schools of India.

Find the mode and mean of this data. Interpret the two measures. The given distribution shows the number of runs scored by some top batsmen of the world in one-day 10hh cricket matches. Find the mode of the data. The class � has the highest frequency i. Thus, the required mode is A student noted the number of cars passing through a spot on a Cbse 10th Standard Maths Textbook Jpg road for cbse 10th standard maths solutions us each Cbse 10th Standard Maths Solutions 10 of 3 minutes and summarised it in the table given.

Find the mode of the data: Sol. The class 40 � 50 has the maximum frequency i. The following frequency distribution gives the monthly consumption of matus of 68 consumers of a locality. Find the median, mean and mode of the data and compare. Mode Class � has the highest frequency. This is the modal cbse 10th standard maths solutions us. If 10tth median of the distribution given below is cbse 10th standard maths solutions us A life 110th agent found the following data for distribution of ages of policy holders.

Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 years. The given table is cumulative frequency distribution. We Cbse 10th Standard Maths Solutions Year write the frequency distribution as given below: We have The cumulative frequency just greater than i.

The median class is The lengths of 40 leaves of a cbze are measured correct cbze the nearest millimetre, and the data obtained is represented in the following table: Find the median length of the leaves. The class then change to After changing the given maghs as continuous classes we prepare the cumulative frequency table: Now, The cumulative frequency just above i.

So, The following table gives the distribution of the life time of neon lamps: Find the median life time of cbse 10th standard maths solutions us lamp. To compute the median, let us write the cumulative frequency distribution as given below: We have Since, the cumulative frequency just greater than i.

Find the mean number of letters in the surnames? Also, find the modal size of the surnames. Median Since, the cumulative cbee just greater than i. The distribution below gives the weights of 30 students of a class. Find ue median weight of the students. The following distribution gives the daily income of 50 workers of a mzths. Convert the distribution above to a less than type cumulative frequency matgs, and draw its ogive.

Standzrd have the cumulative frequency distribution as: Now, we plot the points corresponding to the ordered pairs12, 26, 34, 40 and50 on a graph paper and join them by a free hand smooth curve as shown below: The curve so obtained is called the less than ogive. During the medical check-up of 35 students of a class, their wrights were recorded as follows: Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.

Here, the values cbse 10th standard maths solutions us, 40, 42, 44, 46, 48, 50 and 52 are the upper limits of the respective class-intervals.

We plot the cbse 10th standard maths solutions us ordered pairs 38, 040, 342, 544, 946, 1448, 2850, 32 and 52, 35 on a graph paper and join them by a free hand smooth curve. The curve so obtained is the less than type ogive. From the point i. From this point i. The point Q represents the median of the data which is Verfication To verify the result using the formula, let us make the following table in order to find median using the formula: Here, Since, the observation lies in the class 46 � Cbse 10th standard maths solutions us following ys gives production yield per hectare of wheat of farms of a village.

Change the distribution to a more than type distribution, and draw its ogive. Toggle navigation. Thus, mean number of plants per house is 8. Since, values of x i and f i are small. We have used the direct method. We have the following table:. Now, we 10h the following table:. Thus, the missing frequency is Thus, the mean heart beat per minute is The following was the distribution of mangoes according to cbse 10th standard maths solutions us number.

Find the mean number of mangoes 10t in a packing box. Thus, the mean daily expenditure of food is Rs. Find the mean concentration of SO 2 in the air. Thus, mean concentration of SO 2 in air is 0. Using the direct method, we have the following table:.

The following table shows the ages of the patients admitted in a hospital during a year:. Find the mode and the mean of the data given. Here, the highest frequency is The modeal class is stamdard �

Conclusion:

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It covers the following topics like Calculation of the first term of the AP series, Value of trigonometric angles, the ratio of similar triangles, HCF, distance formula, and unknown term of quadratic equations when roots are equal. Section B consists of very short answer type questions, each carrying 2 marks. Topics in section B includes the ratio of line segments, the probability related to divisibility and dice of a number, irrational number, and calculation of the sides of a rectangle.

There a total of 6 questions with 2 marks. The entire Section C is devoted to short answer type questions, each carrying 3 marks.

It incorporates topics like zeros of polynomial, quadrilateral, midpoint formula, verification of LCM and HCF, calculation of median, proof of length of a tangent, area of quadrilateral, mensuration, and evolution of trigonometric angles.

Lastly, Section D consists of long answer type questions with a total of 8 questions, each carrying 4 marks. The section covers questions from trigonometry, mensuration, calculation of frequency, height and distance, speed and time, construction, and AP series. Marks per Section. Number of Questions.

Section A. Section B. Section C. Section D. Total There is no short cut route to score well in the examinations by simply mugging up the questions blindly. The marks scored by the students depend greatly on practising Maths board paper Class 10 solutions. No student can expect all the exact questions to be repeated in the exams for scoring 90 and above marks.

Sample question papers of all subjects are released by the board according to the changed pattern for the Board Examination With the help of these CBSE sample papers, students can know the expected structure of question papers which they will get in the board exam.

Check the latest examination pattern with question paper design and blueprint of all subjects of class 10 from the link provided below:. With the help of CBSE sample papers students may understand the format and type of questions to be asked in board exam and they can also know the design of board question papers according to which they can formulate an effective plan for their board exam preparations.

Board has already declared that the question papers in CBSE Exam will be set according to the design and format of the sample papers only. Therefore, it becomes quite necessary that students clearly understand the pattern of CBSE sample papers for effective preparation of exams.

Along with the sample question papers, CBSE has also released marking schemes for all subjects which explains the break-up of marks across various questions in paper and also includes suggested answers for convenient of students. Going through the CBSE sample papers, students will know the changes made in paper pattern for board exams. This year, CBSE question papers will have more number of objective type questions with each carrying one mark.

These objective type questions will include multiple choice type questions, match the columns, fill in the blanks, one word answer type questions, assertion-reason type questions or some picture based questions.

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