Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | June | Q#4

Question A model helicopter takes off from a point O at time t=0 and moves vertically so that its height, y cm,  above O after time t seconds is given by  , a.   Find:                            i.                                  ii.        b.   Verify that y has a stationary value when  and determine whether this stationary value is a  maximum value or a […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | January | Q#6

Question The curve with equation  is sketched below. The curve cuts the x-axis at the point A (-1, 0) and cuts the y-axis at the point B. a.                                i.       State the coordinates of the point B and hence find the area of the triangle AOB, where  O is the origin.              […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | January | Q#5

Question The diagram shows an open-topped water tank with a horizontal rectangular base and four vertical  faces. The base has width  metres and length  metres, and the height of the tank is  metres. The combined internal surface area of the base and four vertical faces is 54m2. a.                        i.       Show that .                   ii.       Hence express  in terms of .                  iii.       Hence show […]