Classify matter according to physical state.

Explain : We cannot classify the elements according to their physical properties alone.

Find the height of image in the following diagram.

The heights of boys and girls of IX class of a school are given below. Compare the heights of the boys and girls.

The marks distribution of 30 students in a mathematics examination are given in the adjacent table. Find the mode of this data. Also compare and interpret the mode and the mean .

The following values are calculated in respect of heights and weights of the students of a section of class XI : Can we say that the weights show greater variation than the heights?

The lateral surface area of a cylinder is equal to the curved surface area of cone . If their bases are the same, find the ratio of the height of the cylinder to the slant height of the cone.

A ball is projected in a manner such that its horizontal gange is n times of the maximum height. Then find out the ratio of potential energy to kinetic energy at maximum height.

A particle travels according to the equation y=x-(x^(2)/(2)) . Find the maximum height it acheives (x and y are in metre)

Test scores out of 100 for a class of 20 students are as follows: 93, 84, 97, 98, 100, 78, 86, 100, 85, 92, 55, 91, 90, 75, 94, 93, 60, 81, 95 (a) Make a frequency table taking class interval as 91-100, 81-90, ... (b) Find the modal class (The "Modal class" is the class containing the greatest frequency). (c) find the interval that contains the median.