10 Maths Questions with Answers

Here are 10 challenging and diverse math questions with detailed solutions to test your skills and understanding:

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

Solution:

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?

Solution:

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)?

Solution:

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?

Solution:

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

9. What is the square root of 144?

Solution:

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 are just a few examples of different types of math questions you may encounter. Practicing with various questions can help you improve your problem-solving skills and solidify your understanding of mathematical concepts.