WMA13/01 · January 2025
Pure Mathematics 3 · 75 marks · 10 questions
- Question 16 marks
Locate a root of a trigonometric function and use an iteration.
- Question 23 marks
A logarithmic model: initial value and time to reach a target.
- Question 36 marks
Where a rational function is increasing.
- Question 49 marks
Find constants in a split fraction, then integrate to a logarithm.
- Question 59 marks
An exponential cooling model: initial value, asymptote, a time and a rate.
- Question 68 marks
Inverse and composite of a rational function, then transformations of a point.
- Question 78 marks
Sketch transformed modulus graphs and solve a modulus equation.
- Question 89 marks
Solve trigonometric equations in radians and degrees.
- Question 98 marks
Intercept and stationary point of a logarithmic curve, then a range after a transformation.
- Question 109 marks
Differentiate a trigonometric curve, show a gradient form and find an exact point.