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

Hits: 17   Question A circle with center C has equation .  a.   Write down:                            i.       the coordinates of C;                          ii.       the radius of the circle b.   The point D has coordinates (7,-2).                            i.       Verify that the circle passes through the origin O.                          ii.       Given that the circle also passes through the points (10,0) and (0,p), sketch the circle  and find the value […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | June | Q#4

Hits: 19   Question a.  The polynomial  is given by                     i.       Find the remainder when  is divided by .                   ii.       Use the Factor Theorem to show that  is a factor of .                  iii.       Express  in the form  , where b and c are integers.               iv.       The equation  has one root equal to -2. Show that equation has no other […]

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

Hits: 3   Question a.                       i.       Express  in the form  , where p and q are integers.                 ii.       Hence write down the minimum value of .               iii.       State the value of  for which the minimum value of  occurs.    b.   The point A has coordinates (5,4) and the point B has coordinates (x,7-x) . […]

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

Hits: 6   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 […]

Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | June | Q#2

Hits: 3 Question a.   Express  in the form  , where m and n are integers. b.   The diagram shows a right-angled triangle. The hypotenuse has length  cm. The other two sides have lengths  cm and x cm. Find the  value of x. Solution a.   We are given the expression; We need to rationalize the denominator. If we need a rational […]

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

Hits: 4   Question The line AB has equation . a.                        i.       Find the gradient of AB.                   ii.       The point A has coordinates (2,1) . Find an equation of the line which passes through the  point A and which is perpendicular to AB. b.  The line AB intersects the line with equation  at the point C. Find the            coordinates of C. Solution […]