Hits: 63

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2011 | June | Q#5

Hits: 63 Question The polynomial  is given by . a.   Use the Remainder Theorem to find the remainder when  is divided by . b.   Use the Factor Theorem to show that  is a factor of . c.                         i.       Express  in the form , where b and c are integers.                   ii.       Hence show that the equation  has exactly one real root. Solution a.   Remainder […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2011 | June | Q#4

Hits: 97   Question a.   Express  in the form  , where p and q are rational numbers. b.   A curve has equation .      i.   Find the coordinates of the vertex of the curve.     ii.   State the equation of the line of symmetry of the curve.    iii.   Sketch the curve, stating the value of the […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2011 | June | Q#7

Hits: 10   Question Solve each of the following inequalities: a.   b.   Solution a.   b.   We solve the following equation to find critical values of ; Now we have two options; Hence the critical points on the curve for the given condition are  & . Standard form of quadratic equation is; The graph of quadratic equation […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2011 | January | Q#7

Hits: 34   Question a.                         i.       Express  in the form .                   ii.       Hence write down the equation of the line of symmetry of the curve with equation  . b.   The curve C has equation  and the line L has equation , where k is a constant.                     i.       Show that the x-coordinates of any points of intersection of the curve C with the […]