When preparing for the A Level Maths exam, one of the most effective strategies is to organize your study materials by topic. This approach allows you to focus on specific areas of the curriculum and identify your strengths and weaknesses. In this article, we will provide a comprehensive list of A Level Maths exam questions by topic, helping you to streamline your revision process and excel in your exams.
1. Algebra
– Solve the equation: 2x + 5 = 3x – 1
– Simplify the expression: (x^2 – 4) / (x + 2)
– Find the roots of the quadratic equation: x^2 – 5x + 6 = 0
2. Functions
– Determine the domain and range of the function: f(x) = (x^2 – 1) / (x – 1)
– Sketch the graph of the function: f(x) = 2x^3 – 3x^2 + x
– Find the inverse of the function: f(x) = 3x – 2
3. Coordinate Geometry
– Find the equation of the line passing through the points (2, 3) and (4, 7)
– Determine the area of the triangle formed by the points (1, 2), (3, 4), and (5, 6)
– Find the equation of the circle with center (2, 3) and radius 4
4. Calculus
– Differentiate the function: f(x) = x^3 – 3x^2 + 2x
– Integrate the function: f(x) = (2x^2 – 3x + 1) / (x – 1)
– Find the derivative of the function at x = 2: f(x) = x^2 + 3x + 2
5. Trigonometry
– Solve the equation: sin(x) = 1/2
– Find the exact value of cos(π/3)
– Sketch the graph of the function: f(x) = sin(x) + cos(x)
6. Vectors
– Find the vector product of the vectors: a = (2, 3, 4) and b = (1, 2, 3)
– Determine the unit vector in the direction of the vector: a = (5, 12, -3)
– Find the angle between the vectors: a = (2, 3, 4) and b = (1, 2, 3)
7. Statistics
– Calculate the mean, median, and mode of the following data set: 4, 6, 8, 10, 12
– Find the standard deviation of the following data set: 2, 4, 6, 8, 10
– Determine the probability of rolling a 6 on a fair six-sided die
By utilizing these A Level Maths exam questions by topic, you can enhance your understanding of the subject and improve your performance in the exam. Remember to practice regularly and seek help from teachers or tutors if needed. Good luck!
