Hits: 279

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | June | Q#6

Hits: 279   Question The diagram shows a block of wood in the shape of a prism with triangular cross-section. The end  faces are right-angled triangles with sides of lengths 3x cm, 4x cm and 5x cm, and the length of the  prism is y cm, as shown in the diagram. The total surface area of the five faces […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | June | Q#4

Hits: 53   Question The curve with equation  is sketched below. The point  lies on the curve. a.                                i.       Find                          ii.       Hence find the area of the shaded region bounded by the curve and the line  . b.   The point  lies on the curve with equation   .                            i.       Find the gradient of the curve at the point A.                          ii.       Hence find an equation of […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | January | Q#6

Hits: 82     Question The curve with equation  is sketched below. a.                       i.       Find the gradient of the curve with equation  at the point A.                   ii.       Hence find the equation of the normal to the curve at the point A, giving your answer in the  form  , where p and q are integers.   b.                       i.       Find the value of […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | January | Q#5

Hits: 44   Question a.   Express  in the form  , where p and q are integers. b.                        i.       Sketch the graph of  , stating the coordinates of the minimum point  and the point where the graph crosses the y-axis.                   ii.       Write down an equation of the tangent to the graph of  at […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | January | Q#3

Hits: 54   Question The depth of water, y metres, in a tank after time t hours is given by ,  a.   Find:                             i.                                  ii.        b.   Verify that y has a stationary value when  and determine whether it is a maximum value or a minimum value. c.                                 i.       Find the rate of change of the depth of water, […]