# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | January | Q#5

Question a.   Factorise  . b.   Show that  can be written as  . c.   A curve has equation  .                            i.       Write down the equation of its line of symmetry.                          ii.       Find the coordinates of its vertex.                        iii.       Sketch the curve, indicating the values of the intercepts on the x-axis and  the y-axis. Solution a.   b.   c.                               i.   We are given […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | June | Q#8

Question The quadratic equation  has real roots. a.   Show that  . b.   Hence find the possible values of k. Solution a.   We are given following quadratic equation which has real roots. For a quadratic equation , the expression for solution is; Where  is called discriminant. If , the equation will have two roots. If , […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | June | Q#4

Question a.   Express  in the form  , where p and q are rational numbers. b.   Hence write down the minimum value of the expression . c.   Describe the geometrical transformation that maps the graph of  onto the graph of . Solution a.   We are given; We use method of “completing square” to obtain the desired form. Next we complete the […]