# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | January | Q#6

Question a.   The polynomial  is given by .                   i.       Use the Factor Theorem to show that  is a factor of  .                 ii.       Express  as the product of three linear factors. b.   The curve with equation  is sketched below. The curve cuts the x-axis at the point A and the points […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | June | Q#5

Question The curve with equation  is sketched below. The points A(-2,0) , B(2,0) and C(1,15) lie on the curve.  a.   Find an equation of the straight line AC . b.                          i.       Find .                   ii.       Hence calculate the area of the shaded region bounded by the curve and the line AC . Solution a.   We are required to […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | June | Q#3

Question Two numbers, x and y, are such that  , where  and . It is given that  .  a.   Show that  . b.                         i.       Show that , and state the value of the integer k.                   ii.       Hence find the two values of x for which c.    Find d.                         i.       Find the value of  for each of the two values […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | January | Q#2

Question The curve with equation  has a single stationary point, M. a.   Find b.   Hence find the x-coordinate of M. c.                         i.       Find                   ii.       Hence, or otherwise, determine whether M is a maximum or a minimum point.  d.    Determine whether the curve is increasing or decreasing at the point on the curve where . Solution a.   We are […]