Here’s the worked solutions for the 2022 H2 A Level Mathematics Paper 1. Click on the question number to go to the question directly.
Worked solutions for 2022 H2 A Level Mathematics Paper 1
iz + 2w = -1 —- (1)
(2-i)z + iw = 6 —- (2)
Find z and w in a + bi form where a and b are real numbers.
This is a question on Maclaurin Series.
This question is on application of differentiation to tangents and normals.
This question tests students on manipulating Trigonometric identities, and also on integration.
This question tests students on their application of differentiation. In addition, concepts from O Level Additional Mathematics topics on discriminant (from quadratic function chapter) is also tested.
Question 6 is on functions and transformation of graphs.
Students are expected to write a series of transformation to transform y = 1/x to y = (ax+k)/(x-a). Remember to use the recommended transformation order for this question.
Hence, the required transformation are:
- translate the graph y = f(x) a units in the positive x- direction.
- scale parallel to the y axis by a factor of a² + k
- translate the graph by a units in the positive y- direction
Let y = f(x)
Range of f = domain of f⁻¹ = ℝ \ a
Since f(x) = f⁻¹(x),
f²(x) = f f⁻¹(x) = x, x ∈ ℝ, x ≠a
f²⁰²³(1) = f(1) = (a+k)/(1-a)
Question 7 is on differentiation and integration (including their application)
Question 8 is on integration and its application.
Question 9 is on arithmetic and geometric progression.
Question 10 is on application of differentiation, discriminant, curve sketching and inequalities.
This question is on vectors.
Part b involves finding the cartesian equation of plane, given 3 position vectors:
This question is on differential equations.
Other H2 A Level Math Worked solutions
- Syllabus 9758 Year 2022 Paper 1
- Syllabus 9758 Year 2022 Paper 2
- Syllabus 9758 Year 2021 Paper 1
- Syllabus 9758 Year 2021 Paper 2
- Syllabus 9768 Year 2020 Paper 1
- Syllabus 9758 Year 2020 Paper 2
- Syllabus 9758 Year 2019 Paper 1
- Syllabus 9758 Year 2019 Paper 2
- Syllabus 9768 Year 2018 Paper 1
- Syllabus 9758 Year 2018 Paper 2
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