Pearson Edexcel International A Level · Mathematics (YMA01)
5 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Algebra and functions.
The function \( f \) is defined by \( f(x) = x^2 - 2x \) for the domain \( 0 \le x \le 3 \). The function \( g \) is defined by \( g(x) = |x| \) for all real values of \( x \). Find the range of the composite function \( g(f(x)) \).
Solve the simultaneous equations:
\( y = x + 1 \)
\( y = x^2 - 5x + 6 \)
The graph of \( y = f(x) \) is transformed to the graph of \( y = 2f(x - 3) \). Describe the sequence of transformations.
Find the value of the discriminant for the quadratic equation \( 2x^2 - 5x + 3 = 0 \).
Solve the simultaneous equations:
\(y = 2x + 3\)
\(x^2 + y^2 = 5\)
Which of the following is a possible value for \(x\)?
Simplify the expression \((3x^2)^3 \times (2x^{-1})^2\).
Write your answer out first, then check it against the worked solution.
Given that \( (x-2) \) is a factor of the polynomial \( f(x) = 2x^3 + ax^2 - 5x - 6 \), find the value of the constant \( a \) and hence factorise \( f(x) \) completely.
[4 marks]
Write your answer out first, then check it against the worked solution.
Given the functions \( f(x) = e^{x} - 2 \) and \( g(x) = \ln(x + 5) \) for \( x > -5 \), find the exact value of \( x \) such that \( fg(x) = 6 \).
Write your answer out first, then check it against the worked solution.
Find the set of values of \(x\) for which \((2x-1)(x+3) > 5\).
Write your answer out first, then check it against the worked solution.
* The content provided by thinka is generated by AI and may not always be accurate or up-to-date. Please use it as a supplementary resource and verify with official materials.
This page can show you how a good answer looks. It cannot tell you what your answer was missing. thinka marks your written work against the real mark scheme in about 15 seconds.
Want more questions like these? Get a fresh set on this topic, graded as you go.
Practice More