 # TN Board Class 9 Maths Important Questions

Maths is one of the important subjects in Class 9 board exams. It is a subject that needs lots of practice and understanding of concepts. If students understand the concepts more clearly, then they can score good marks in their Maths final exam. Class 9 Mathematics is the basic learning of the concepts which will open up the window for Class 10 Maths. So, students must concentrate on Class 9 Maths and should take the subject seriously. Class 9 Maths of TN board can help students get a high overall score, but it requires dedicated preparation. One of the best resources for self gauging the exam preparations is the Tamil Nadu Board Class 9 Important Questions of Maths.

## TN Board Class 9 Maths Important Questions

Class 9 Maths syllabus under Tamil Nadu board covers topics like – Set language, Real numbers, Algebra, Geometry, Coordinate geometry, statistics etc. Important questions of Class 9 Maths Tamilnadu board will help students to self-evaluate themselves in terms of preparation level. It also helps them to know if they have missed out any topic from the Maths syllabus. Practicing important questions of Class 9 maths will brush up students’ mathematical skills and move you step forward towards understanding the subject.

Students are advised to solve these important questions on a daily basis so that they get a better understanding of the concepts and types of questions asked. Class 9 maths important questions are mostly picked up from the Tamilnadu board Class 9 Maths textbook.

1. Points A and B are 70 km apart on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other, they meet in one hour. Find the speed of the two cars.
2. It takes 24 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 8 hours and the pipe of the smaller diameter is used for 18 hours. Only half of the pool is filled. How long would each pipe take to fill the swimming pool.
3. Five years ago, a man was seven times as old as his son, while five year hence, the man will be four times as old as his son. Find their present age.
4. The points A (−5 4), B(-1 -2) and C( 5 2) are the vertices of an isosceles right angled triangle where the right angle is at B. Find the coordinates of D so that ABCD is a square.
5. Prove that the diagonals of the parallellogram bisect each other. [Hint: Take scale on both axes as 1cm=a units]
6. A line segment AB is increased along its length by 25% by producing it to C on the side of B. If A and B have the coordinates (-2 -3) and (2 1) respectively, then find the coordinates of C.
7. Verify cos3A= 4 cos3 A-3cosA, when A=300
8. Find the angle made by a ladder of length 5m with the ground, if one of its end is 4m away from the wall and the other end is on the wall.
9. Find the area of an equilateral triangle whose perimeter is 180 cm.
10. A triangle and a parallelogram have the same area. The sides of the triangle are 48 cm, 20 cm and 52 cm. The base of the parallelogram is 20 cm. Find (i) the area of triangle using Heron’s formula. (ii) the height of the parallelogram.
11. A land is in the shape of rhombus. The perimeter of the land is 160 m and one of the diagonal is 48 m. Find the area of the land.
12. The parallel sides of a trapezium are 15 m and 10 m long and its non-parallel sides are 8 m and 7 m long. Find the area of the trapezium.
13. Find the TSA and LSA of the cube whose side is (i) 8 m (ii) 21 cm (iii) 7.5 cm
14. The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes.
15. External dimensions of a closed wooden cuboidal box are 30 cm ×25 cm ×20 cm. If the thickness of the wood is 2 cm all around, find the volume of the wood contained in the cuboidal box formed.
16. What is the probability of throwing an even number with a single standard dice of six faces?
17. In a football match, a goalkeeper of a team can stop the goal, 32 times out of 40 attempts tried by a team. Find the probability that the opponent team can convert the attempt into a goal.
18. If a probability of a player winning a particular tennis match is 0.72. What is the probability of the player losing the match?
19. A company manufactures 10000 Laptops in 6 months. In that 25 of them are found to be defective. When you choose one Laptop from the manufactured, what is the probability that selected Laptop is a good one.
20. A manufacturer tested 7000 LED lights at random and found that 25 of them were defective. If a LED light is selected at random, what is the probability that the selected LED light is a defective one.