IB DP Math AA HL Prediction Paper 2 for 2025 Exams
IB DP Math AA HL Prediction Paper 2 – April/May 2025 Exam
IB DP Math AA HL Prediction Paper 2: Prepare for the IB exams with subject-specific Prediction questions, model answers. All topics covered.
Prepared by IB teachers: Access our IB DP Math AA HL Prediction Paper 2 with model answer. Students: Practice with exam-style papers for IB DP Math AA HL Exam
Question 1
The polynomial $4x^{3} + ax^{2} + 5x + b$, where a and b are constants, is denoted by p(x). It is given that $(2x+1)$ is a factor of p(x). When p(x) is divided by (x-4) the remainder is equal to 3 times the remainder when p(x) is divided by (x-2).
Find the values of a and b.
Question 2
The graph of \( y = f(x) \) for \(-4 \leq x \leq 6\) is shown in the following diagram.
(a) Write down the value of
(i) \( f(2); \)
(ii) \((f \circ f)(2).\)
(b) Let \( g(x) = \frac{1}{2} f(x) + 1 \) for \(-4 \leq x \leq 6\). On the axes above, sketch the graph of \( g \).
Question 3
The equation of a curve is $ln(x+y)=3x^{2}y$.
Find the gradient of the curve at the point (1, 0).