Here is a sample question paper for the Class 9 Maths half-yearly examination in 2022. The paper includes various topics from the syllabus and aims to assess the students' understanding and application of mathematical concepts. Please note that the questions provided here are for illustrative purposes only and may not represent the actual examination paper.



Section A: Multiple Choice Questions
1. Which of the following is an irrational number?
a) 3/4
b) √2
c) 5/2
d) 0.75

2. Simplify the expression: (3x + 2y) - (4x - 5y)
a) -x + 7y
b) 7x - 3y
c) -x - 3y
d) 7x + 3y

3. Find the value of x in the equation 2(3x - 5) = 4x + 3.
a) 4
b) 5
c) 6
d) 7

Section B: Short Answer Questions
4. Solve the following linear equation: 2(x + 3) = 5x - 2.

5. Find the value of 'a' in the equation 3a + 8 = 7.

Section C: Long Answer Questions
6. A sum of money amounts to Rs. 8000 in 2 years and Rs. 9000 in 3 years at simple interest. Find the rate of interest per annum.

7. In a class of 40 students, 20 play cricket, 15 play football, and 5 play both cricket and football. How many students play either cricket or football?

Section D: Higher Order Thinking Questions
8. The sum of two consecutive odd numbers is 56. Find the numbers.

9. The area of a rectangle is 80 sq units. If the length of the rectangle is 10 units, find its breadth.

10. The cost of 5 pens and 4 pencils is Rs. 48, while the cost of 7 pens and 6 pencils is Rs. 72. Find the cost of one pen and one pencil.

Remember to attempt all the questions and show all the necessary steps and calculations. Use appropriate formulas, theorems, and concepts to solve the problems. Best of luck for your examination!