Mathematics (Syllabus D) 4024: Transformations and vectors Topical Past Paper Questions

$$ \mathbf{a}={\binom{-3}{4}}\qquad\qquad\mathbf{b}={\binom{8}{-2}} $$ (a) Work out 3a-b. (b) Find $ |\mathbf{a} + \mathbf{b}| $.

(a) Describe fully the single transformation that maps shape A onto shape B. [2] [2] (b) Shape A is mapped onto shape C by an enlargement of scale factor 3. Two of the vertices of shape C are (2, 5) and (5, 2). (i) Find the coordinates of the centre of the enlargement. (....., ..…

(a) Point A and point B are shown on a centimetre square grid. (i) ABC is a triangle. Here are five possible coordinates for point C. (-2, 4) (-2, -1) (-1, -2) (6, 1) (-4, 6) Tick (✓) the two coordinates from the list that make ABC an isosceles triangle. [2] (ii) Find the column…