# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | January | Q#6

Question a.  The polynomial  is given by .                     i.       Use the Factor Theorem to show that  is a factor of .                   ii.       Express  in the form  , where a and b are constants. b. The curve C with equation  , sketched below, crosses the x-axis at the point .                     i.       Find the gradient of the curve C at the point Q.                   ii.       Hence find an […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | June | Q#3

Question The curve with equation  passes through the point P, where  . a.   Find                          i.                                  ii.        b.   Verify that the point P is a stationary point of the curve. c.                                i.       Find the value of  at the point P.                           ii.       Hence, or otherwise, determine whether P is […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | January | Q#5

Question A model car moves so that its distance, x centimeters, from a fixed point O after time t seconds is given by  , a.   Find:                            i.                                  ii.        b.   Verify that x has a stationary value when  and determine whether this stationary value is a  maximum value or a minimum value. c.   Find the rate of change […]