# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2012 | June | Q#7

Question The gradient,  , of a curve C at the point (x,y) is given by a.                         i.       Show that y is increasing when .                   ii.       Solve the inequality . b.   The curve C passes through the point P(2,3).                     i.       Verify that the tangent to the curve at P is parallel to the x-axis.                   ii.       The point Q(3,-1) also lies on the […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2012 | June | Q#4

Question The diagram shows a solid cuboid with sides of lengths x cm, 3x cm and y cm. The total surface area of the cuboid is 32 cm2. a.                         i.       Show that .                   ii.       Hence show that the volume, V cm3 , of the cuboid is given by b.   Find . c.           […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2012 | January | Q#4

Question The curve with equation  is sketched below. The point O is at the origin and the  curve passes through the points A(-1,0) and B(1,4). a.   Given that  , find:                            i.       ;                          ii.        b.   Find an equation of the tangent to the curve at the point A(-1,0). c.   Verify that the point B, where  , is a minimum point […]