## The representative value of mathematics scores ,

The mathematics scores of some of the students are given below. ( out of 30) 12, 14, 16, 15, 20, 23, 26, 28, 29, 22, 30 Teacher wanted to find the representative value of their scores such that she could say that half of students have scored marks above that and half of the students have scored marks below that? What was that score? a) 20 b) 22 c) 21 d) 23

## The dimensions of rectangular garden

A gardener told Neha that 42 m long wire would be required for fencing of her rectangular garden, whose breadth is half of its length. Neha needs to cross check the measurements. What are the dimensions of her garden?

## The probability of the concentration of sulphur dioxide in the air

A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows as frequency distribution table:

## The coefficient of terms in the expansion are equal

Find the value of r, if the coefficient of (2r + 4)th and (r – 2)th terms in the expansion of (1 + x)18 are equal.

## range of marks on the fifth examination

In the first four examination, each of 100 marks, Ryan got 94, 73, 72 , 84 marks. If a final average greater than or equal to 80 and less than 90 is needed to obtain a final grade B in a course, what range of marks on the fifth examination will result in Ryan receiving ‘B’ in the course ?

## Terms of the expansion

Find ‘a’ if the 11th and 12th terms of the expansion (2 + a)40 are equal.

## Minimum marks in the annual examination

The marks obtained by a student of Class XI in first and second terminal examination are 65 and 42, respectively. Find the minimum marks he should get in the annual examination to have an average of at least 65 marks.

## Number of games students play

Five students take part in a tournament. Each student has to play every other one. What number of games should they play?