Hits: 31

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

Hits: 31   Question The straight line L has equation  and the curve C has equation a.   Sketch on the same axes the line L and the curve C, showing the values of the intercepts on the  x-axis and the y-axis. b.   Show that the x-coordinates of the points of intersection of L and C satisfy the equation  . c.   Hence find […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | June | Q#7

Hits: 137   Question The circle S has centre C(8,13) and touches the x-axis, as shown in the diagram. a.   Write down an equation for S, giving your answer in the form b.   The point P with coordinates (3,1) lies on the circle.                     i.       Find the gradient of the straight line passing through P and […]

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

Hits: 31   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 […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | January | Q#7

Hits: 23   Question The curve C has equation  . The line L has equation  , where k is a constant. a.   Show that the x-coordinates of any points of intersection of the line L with the curve C satisfy the  equation b.   The curve C and the line L intersect in two distinct points. Show that c.   Solve […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | January | Q#4

Hits: 43   Question A circle with centre C has equation .  a.   By completing the square, express this equation in the form b.    Write down:                            i.       the coordinates of C;                          ii.       the radius of the circle, leaving your answer in surd form. c.   A line has equation .                            i.       Show that the x-coordinate of any point of […]

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

Hits: 29   Question The triangle ABC has vertices A(-2,3), B(4,1) and C(2,-5). a.   Find the coordinates of the mid-point of BC . b.                 i.  F ind the gradient of AB, in its simplest form.           ii.  Hence find an equation of the line AB , giving your answer in the form  , where q  and […]