Hits: 305

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2008 | Oct-Nov | (P2-9709/02) | Q#1

Hits: 305     Question Solve the inequality . Solution SOLVING INEQUALITY: PIECEWISE Let, . We can write it as; We have to consider both moduli separately and it leads to following cases; When If then above four intervals translate to following with their corresponding inequality; When When When If then above four intervals translate […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2008 | May-Jun | (P2-9709/02) | Q#1

Hits: 177     Question Solve the inequality . Solution SOLVING INEQUALITY: PIECEWISE Let  and , then; We have to consider two separate cases; When When We have the inequality; It can be written as; We have to consider two separate cases; When When Therefore the inequality will hold for ; SOLVING INEQUALITY: ALGEBRAICALLY Let, […]

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

Hits: 28   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.   […]

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

Hits: 11   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. […]

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

Hits: 20   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 […]