Paper 1: Non-calculator June 2025, Question 2 2 marks
Reveal mark scheme
AQA Level 2 Certificate Further Maths
Topic questions Pure mathematics Matrix arithmetic
11 questions · 37 marks · about 50 minutes
Circle the matrix that represents an enlargement, scale factor 3, centre O.
O ABC is the unit square. O (0, 0) A (1, 0) B (1, 1) C (0, 1)
O ABC is mapped to O A ′ B ′ C ′ under a combined transformation of K followed by L.
Work out the coordinates of A ′, B ′ and C ′.
The image of P is (– 8, 7)
Work out the values of x and y.
Matrix M represents a reflection in the line y = – x
Write down matrix M
Write down matrix M
Circle the transformation matrix that represents a reflection in the line y = – x
Use matrix multiplication to show that, in the x - y plane,
• a rotation, 90° anticlockwise about the origin, followed by
• a reflection in the line y = x
is equivalent to a reflection in the x-axis.
Give your answer as a single matrix.
Work out the values of a and b.
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