Hits: 148

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2015 | June | Q#10

Hits: 148   Question A curve with equation y=f(x) passes through the point (4,9). Given that  , x > 0 a.   find f(x), giving each term in its simplest form. Point P lies on the curve. The normal to the curve at P is parallel to the line 2y + x = 0 b.   Find x […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2015 | June | Q#8

Hits: 465   Question a.   Factorise completely 9x – 4×3 b.   Sketch the curve C with equation y = 9x – 4×3 Show on your sketch the coordinates at which the curve meets the x-axis. The points A and B lie on C and have x coordinates of –2 and 1 respectively. c.   Show that the length of […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2015 | June | Q#6

Hits: 82   Question The curve C has equation  , a. Find  in its simplest form. b. Find an equation of the tangent to C at the point where x=-1. Give your answer in the form ax+by+c=0, where a, b and c are integers. Solution a.   We are given; We are required to find . Gradient (slope) of […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2015 | June | Q#8

Hits: 38   Question A curve has equation  and a line has equation  , where k is a  constant. a.   Show that the x-coordinate of any point of intersection of the curve and the line satisfies the equation b.   Given that the line and the curve do not intersect:.                    i.       Show […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2015 | June | Q#4

Hits: 50   Question A circle with center C has the equation .  a.   Express this equation in the form b.                                i.       State the coordinates of C.                          ii.       Find the radius of the circle, giving your answer in the form  . c.                         i.       The point P with coordinates (4,k) lies on the circle. Find the possible values of k. […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2015 | June | Q#3

Hits: 52   Question The diagram shows a sketch of a curve and a line. The curve has equation  . The points A(-1,6) and B(2,30) lie on the curve. a.   Find an equation of the tangent to the curve at the point A. b.                 i.       Find           ii.       Calculate the area of the shaded region bounded by the curve and the […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2015 | June | Q#1

Hits: 29   Question The line AB has equation . a.               i.       Find the gradient of AB.           ii.       Find an equation of the line that is perpendicular to the line AB and which passes through the  point (-2,-3) . Express your answer in the form , where p, q and […]