# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#10

Question a.   On the axes below sketch the graphs of                                     i.       y = x (4 – x)                                    ii.       y = x2 (7 – x) showing clearly the coordinates of the points where the curves cross the coordinate axes. b.   Show that the x-coordinates of the points of intersection of y = x (4 – x) and y = […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#4

Question a)   Show that x2 + 6x + 11 can be written as (x + p)2 + q, where p and q are integers to be found. b)  In the space at the top of page 7, sketch the curve with equation y = x2 + 6x +11, showing clearly  any intersections with the coordinate axes. c)   Find […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#3

Question Find the set of values of x for which a.   b.   c.   both  and Solution a.   We are given; b.   We are required to solve the inequality; We solve the following equation to find critical values of ; Now we have two options; Hence the critical points on the curve for the given condition are  & […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | January | Q#10

Question f(x) = x2 + 4kx + (3+11k), where k is a constant. a)   Express f(x) in the form (x + p)2 + q, where p and q are constants to be found in terms of k.  Given that the equation f(x) = 0 has no real roots, b)  find the set of possible values of […]