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
Question 1
Given :
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.

Question 2
This is a question on Maclaurin Series.


Question 3
This question is on application of differentiation to tangents and normals.


Question 4
This question tests students on manipulating Trigonometric identities, and also on integration.

Question 5
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
Question 6 is on functions and transformation of graphs.
(a)
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
(b)
Let y = f(x)

Range of f = domain of f⁻¹ = ℝ \ a

(c )
Since f(x) = f⁻¹(x),
f²(x) = f f⁻¹(x) = x, x ∈ ℝ, x ≠a
(d)
f²⁰²³(1) = f(1) = (a+k)/(1-a)
Question 7
Question 7 is on differentiation and integration (including their application)

(b)


Question 8
Question 8 is on integration and its application.



Question 9
Question 9 is on arithmetic and geometric progression.



Question 10
Question 10 is on application of differentiation, discriminant, curve sketching and inequalities.





Question 11
This question is on vectors.


(b)
Part b involves finding the cartesian equation of plane, given 3 position vectors:



Question 12
This question is on differential equations.







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