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

Question The trapezium ABCD is shown below. The line AB has equation  and DC is parallel to AB. a.   Find the gradient of AB. b.   The point D has coordinates .                            i.       Find an equation of the line DC.                          ii.       The angle BAD is a right angle. Find an equation of the line AD, giving your answer in  the form […]

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

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                   ii.       Hence determine […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | January | Q#2

Question The triangle ABC has vertices A(1,3), B(3,7) and C(-1,9). a.                         i.       Find the gradient of AB.                   ii.       Hence show that angle ABC is a right angle. b.                         i.       Find the coordinates of M, the mid-point of AC.                   ii.       Show that the lengths of AB and BC are equal.                  iii.       Hence find an equation of the line of symmetry of the […]