Hits: 211

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2017 | June | Q#10

Hits: 211   Question Figure shows a sketch of part of the curve y = f(x), , where f(x) = (2x – 5)2(x + 3) a.   Given that                     i.       the curve with equation y = f(x) – k, , passes through the origin, find the value of the  constant k,                   ii.       the curve with equation y = f(x + c), […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2017 | June | Q#9

Hits: 698   Question a.   On separate axes sketch the graphs of                     i.       y = –3x + c, where c is a positive constant,                   ii.        On each sketch show the coordinates of any point at which the graph crosses the y-axis and the equation of any horizontal asymptote. Given that y = –3x + c, where c is a positive […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2017 | June | Q#8

Hits: 387   Question The straight line  , shown in Figure, has equation 5y = 4x + 10. The point P with x coordinate 5 lies on . The straight line  is perpendicular to  and passes through P. a.   Find an equation for  , writing your answer in the form ax + by + c = […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2017 | June | Q#7

Hits: 935 Question The curve C has equation y=f(x), x>0, where Given tht the point P(4,-8) lies on the curve C; a.   find the equation of the tangent to C at P, giving your answer in the form y = mx + c, where m and  c are constants. a.   find f(x), giving each term in […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2017 | June | Q#5

Hits: 91   Question A curve and the line AB are sketched below. The curves has the equation  and the points A(-1,9) and B(2,12) lie on the curve. a.   Find the equation of the normal to the curve at the point A, giving your answer in the form  . b.                         i.       Find .                   ii.       Hence find the area of […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2017 | June | Q#4

Hits: 160   Question The point A has coordinates (-2,5) and the point B has coordinates (8,-6). a.   Find and equation for the straight line AB, giving your answer in the form , where p, q and r are integers. b.   The point C has coordinates (k,k+1). Given that the angle ACB is a right angle, find the two  […]