Hits: 13

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#11

Hits: 13   Question The curve C has equation y=f(x), x>0, where Given that point P(4,5) lies on C, find a.   f(x) b.   an equation of the tangent to C at the point P, giving your answer in the form ax + by + c = 0,  where a, b and c are integers. Solution a.   […]

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

Hits: 38   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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#9

Hits: 97   Question A farmer has a pay scheme to keep fruit pickers working throughout the 30 day season. He pays £a  for their first day, £(a + d ) for their second day, £(a + 2d ) for their third day, and so on, thus  increasing the daily payment by £d for each extra day they […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#8

Hits: 15   Question a.   Find an equation of the line joining A (7, 4) and B (2, 0), giving your answer in the form  ax+by+c=0, where a, b and c are integers. b.   Find the length of AB, leaving your answer in surd form. The point C has coordinates (2, t), where t > 0, […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#7

Hits: 12   Question Given that  , x>0 find . Solution We are given; We are required to find . Gradient (slope) of the curve is the derivative of equation of the curve. Hence gradient of curve  with respect to  is: Therefore; Rule for differentiation is of  is: Rule for differentiation is of  is: Rule for differentiation is […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#6

Hits: 11   Question Figure 1 shows a sketch of the curve with equation y = f (x). The curve has a maximum  point A at  (–2, 3) and a minimum point B at (3, – 5). On separate diagrams sketch the curve with equation a.   y = f (x + 3) b.   y = 2f (x) On each […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#5

Hits: 9   Question A sequence of positive numbers is defined by ,  a)   Find  and ,  leaving your answers in surd form. b)  Show that . Solution a)   We are given that sequence is defined by ,     We are required to find  and . We can utilize the given expression for general terms beyond first term as; […]

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

Hits: 15   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. […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2010 | June | Q#2

Hits: 11   Question Find giving each term in its simplest form. Solution We are given; Rule for integration of  is: Rule for integration of  is: Rule for integration of  is:

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

Hits: 20   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 […]

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

Hits: 2   Question Write in the form , where k and x are integers. Solution We are given; Since ; Since;