Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

Following are the number of members in 25 families of a village:

6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5.

Prepare a frequency distribution table for the data using class intervals 0 – 2, 2 – 4, etc.

Draw a histogram to represent the frequency distribution in question 91.

The marks obtained (out of 20) by 30 students of a class in a test are as follows:

14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.

Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4 – 8 (excluding 8 and including 4).

Prepare a histogram from the frequency distribution table obtained in question 93.

The weights (in kg) of 30 students of a class are:

39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.

Prepare a frequency distribution table using one class interval as (30 – 35), 35 not included.

1. Which class has the least frequency?
2. Which class has the maximum frequency?

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).

30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.

1. How many classes are there in the frequency distribution table?
2. Which weight group has the highest frequency?

Complete the following table:

Find the total number of persons whose weights are given in the above table.

Draw a histogram for the following data.

The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.

1. Write the classes assuming all the classes are of equal width.
2. What is the classes width?
3. In which age group are literate females the least?
4. In which age group is the number of literate females the highest?

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:

1. What is the class width?
2. How many teachers are having the maximum teaching experience and how many have the least teaching experience?
3. How many teachers have teaching experience of 10 to 20 years?

`sqrt(1.96)` = ______.

The square root of a perfect square of n digits will have `((n + 1)/2)` digits, if n is odd.

By what smallest number should 216 be divided so that the quotient is a perfect square. Also find the square root of the quotient.

Find the square root of the following by long division method.

1369

Find the square root of the following by long division method.

5625

Find the square root of the following by long division method.

27.04

Find the square root of the following by long division method.

1.44

What is the least number that should be added to 6200 to make it a perfect square?

Find the least number of four digits that is a perfect square.

Find the greatest number of three digits that is a perfect square.