Hits: 27

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | June | Q#2

Hits: 27   Question a.   Express  in the form , where  and  are integers. b.   Hence, or otherwise, show that the equation  has no real solutions. c.   Sketch the graph of , stating the coordinates of the minimum  point and the point where the graph crosses the y-axis. d.   Describe geometrically the transformation that maps the graph of  onto the graph of […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | January | Q#8

Hits: 85   Question The diagram shows the curve with equation  and the line  . The points  and  have coordinates  and  respectively. The curve touches the x-axis at  the origin  and crosses the x-axis at the point .  The line  cuts the curve at the point   where  and touches the curve at  where . a.   Find the area of the rectangle . b.                                i.  […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | January | Q#4

Hits: 16   Question The quadratic equation , where  is a constant,  has equal roots.  a.   Show that . b.   Hence find the possible values of . Solution a.   For a quadratic equation , the expression for solution is; Where  is called discriminant. If , the equation will have two roots. If , the equation will have […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | January | Q#3

Hits: 32   Question a.                                i.       Express  in the form , where   and  are integers.                          ii.       Hence, or otherwise, describe the coordinates of the minimum point of the curve with                       equation . b.   The line  has equation  and the curve  has the equation .                             i.       Show that the x-coordinates of the […]