Maths Assignment (Class 9)

 

1. Set Theory

In a class of 40 students, 25 students like football, 18 students like cricket, and 8 students like both games. How many students like at least one of the two games?

2. Linear Equation

A number is multiplied by 4 and then 7 is added to the result. If the final answer is 31, find the number.

3. Algebra

The length of a rectangle is 5 cm more than its breadth. If the breadth is (x) cm, write an algebraic expression for the perimeter of the rectangle.

4. Geometry

The sum of the angles of a polygon is 1080 degree. How many sides does the polygon have?

5. Coordinate Geometry

Ram walks 4 km east and then 3 km north from his home. Represent his final position using coordinates if his home is at the origin ((0,0)).

6. Trigonometry

A ladder is placed against a wall. The foot of the ladder is 5 m away from the wall, and the top reaches a height of 12 m. Find the length of the ladder.

7. Mensuration

A circular garden has a radius of 14 m. Find the area of the garden.

8. Statistics

The marks obtained by five students in a mathematics test are 60, 70, 80, 90, and 100. Find the average mark.

9. Probability

A box contains 5 green balls, 3 red balls, and 2 blue balls. If one ball is selected at random, what is the probability that it is red?

10. Commercial Mathematics

A shopkeeper buys a bicycle for Rs.18,000 and sells it for Rs.21,000. Find the profit and profit percentage.

11. Surface Area and Volume

A water tank is in the shape of a cube with each side measuring 4 m. Find its volume.

12. Practical Geometry

A farmer wants to fence a rectangular field that is 50 m long and 30 m wide. How many metres of fencing wire does he need to go around the field once?