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A-Level MathematicsYear 2022Q2

6   Question 2 continued ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 7   Question 2 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 2 is 8 marks) 8   3. M = 3 0 1 a     where a is a constant (a) Prove by mathematical induction that, for n ∈  M n = 3 2 3 1 0 1 n n a ( ) −         (6) Triangle T has vertices A, B and C. Triangle T is transformed to triangle T′ by the transformation represented by M n where n ∈  Given that • triangle T has an area of 5 cm 2 • triangle T′ has an area of 1215 cm 2 • vertex A(2, –2) is transformed to vertex A′(123, –2) (b) determine (i) the value of n (ii) the value of a (5) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 9   Question 3 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9fm0-02-que-20220609.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)