10 Maths Questions with Answers for Class 9

Here are 10 engaging and diverse math questions for Class 9 students, designed to test your understanding and knowledge across various topics. Each question comes with a detailed solution to help you grasp the concepts and approach similar problems with confidence.

1. A train travels 360 km in 4 hours. What is its speed in km/hr?

Solution:

Image showing formula for speed:

Speed = Distance/Time Speed = 360 km / 4 hours Speed = 90 km/hr

2. The area of a rectangle is 48 square meters. If the length is 8 meters, what is the breadth?

Image showing formula for area of rectangle:

Area = Length x Breadth Breadth = Area / Length Breadth = 48 square meters / 8 meters Breadth = 6 meters

3. A shopkeeper buys 200 apples for $100. He sells each apple at $0.75. What is his profit or loss?

Solution:

Total selling price = 200 apples x $0.75/apple = $150 Profit = Selling price - Cost price Profit = $150 - $100 = $50

4. Simplify the expression: 2x^2 + 3x - 5 - 4x^2 + 2x + 1

Solution:

Combine like terms: 2x^2 + 3x - 5 - 4x^2 + 2x + 1 (2x^2 - 4x^2) + (3x + 2x) + (-5 + 1) -2x^2 + 5x - 4

5. What is the slope of the line passing through the points (2, 3) and (-1, 1)?

Image showing formula for slope:

Slope = (Change in y) / (Change in x) Slope = (1 - 3) / (-1 - 2) Slope = -2 / -3 Slope = 2/3

6. Solve the equation: 3x + 5 = 2x + 11

Solution:

Subtract 2x from both sides: 3x + 5 - 2x = 2x + 11 - 2x x + 5 = 11 Subtract 5 from both sides: x + 5 - 5 = 11 - 5 x = 6

7. The ratio of the number of boys to the number of girls in a class is 3:2. If there are 45 students in the class, how many are boys?

Solution:

Let x be the number of boys. The number of girls is 45 - x. x / (45 - x) = 3 / 2 2x = 135 - 3x 5x = 135 x = 27

Therefore, there are 27 boys in the class.

8. A rectangular garden has a length of 12 meters and a width of 8 meters. What is the area of the garden in square meters?

Image showing formula for area of rectangle:

Area = Length x Width Area = 12 meters x 8 meters Area = 96 square meters

9. What is the square root of 144?

Image showing 12 x 12 = 144:

The square root of 144 is 12, as 12 x 12 = 144.

10. If 2x + 5 = 15, what is the value of x?

Solution:

Subtract 5 from both sides: 2x + 5 - 5 = 15 - 5 2x = 10 Divide both sides by 2: 2x / 2 = 10 / 2 x = 5

These 10 questions cover a range of topics like algebra, geometry, ratios, percentages, and more. By practicing these and other similar problems, you can strengthen your foundation in math and prepare for your exams with confidence.

Remember, consistent practice and a positive learning attitude are key to mastering any subject. Enjoy the journey