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Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2013 | June | Q#3

Hits: 14   Question A circle C has the equation a.   Write the equation of C in the form Where a, b and k are integers. b.   Hence, for the circle C write down:                            i.       the coordinates of its center;                          ii.       its radius. c.                         i.       Sketch the circle C.                   ii.       Write down the coordinates of the point on C that […]

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

Hits: 3   Question A model car moves so that its distance, x centimeters, from a fixed point O after time t seconds is given by  , a.   Find:                            i.                                  ii.        b.   Verify that x has a stationary value when  and determine whether this stationary value is a  maximum value or a minimum value. c.   Find the rate […]

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

Hits: 2   Question a.   Factorise . b.   Hence, or otherwise, solve the inequality Solution a.   We are given the expression; b.     We are required to solve the inequality; We solve the following equation to find critical values of ; From (a) we know that this equation can be written as; Now we have two options. Hence the critical […]

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

Hits: 2   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 2006 | January | Q#3

Hits: 2   Question a.                                i.       Express  in the form , where   and  are integers.                          ii.       Hence, or otherwise, describe the coordinates of the minimum point of the curve with                       equation . b.   The line  has equation  and the curve  has the equation .                             i.       Show that the x-coordinates of the […]