Exam Questions & Step-by-Step Markschemes (61 Problems)
Question 1 • 2024
4 Marks
Solve for x : \frac{1}{x + 4} - \frac{1}{x - 7} = \frac{11}{30}, \quad x \neq -4, 7
Answer: x = 1, \quad x = 2
Question 2 • 2024
4 Marks
Two water taps fill a tank in 9\frac{3}{8} hours. The larger tap takes 10 hours less than the smaller. Find time taken by each separately.
Answer: \text{Smaller: } 25\text{ h}, \quad \text{Larger: } 15\text{ h}
Question 3 • 2024
4 Marks
Solve for x : \frac{1}{a + b + x} = \frac{1}{a} + \frac{1}{b} + \frac{1}{x}, \quad [a \neq 0, b \neq 0, x \neq 0, x \neq -(a+b)]
Answer: x = -a, \quad x = -b
Question 4 • 2024
3 Marks
Solve for x : \frac{1}{x+4} - \frac{1}{x-7} = \frac{11}{30}, \quad x \neq -4, 7
Answer: x = 1, \quad x = 2
Question 5 • 2025
1 Marks
Which of the following equations is a quadratic equation?
Answer: Option (B) : (x+\sqrt{x})^2=2x\sqrt{x}
Question 6 • 2025
1 Marks
The equation x + \frac{1}{x} = 3 ( x \neq 0 ) is expressed as a quadratic equation in the form of ax^2 + bx + c = 0 . The value of a - b + c is :
Answer: Option (A) : 5