Hits: 451

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

Hits: 451   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 (C1-6663/01R) | Year 2014 | June | Q#1

Hits: 15 Question Factorise fully Solution We are given; We have algebraic formula; Therefore;

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2014 | June | Q#4

Hits: 72   Question Figure 1 shows a sketch of the curve C with equation  , x ≠ 0. The curve C crosses the x-axis at the point A. a.   State the x coordinate of the point A. The curve D has equation y = x2(x – 2), for all real values of x. b.   A copy of […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663A/01) | Year 2014 | January | Q#9

Hits: 101   Question A curve with equation y=f(x) passes through the point (3,6). Given that a.   use integration to find f(x). Give your answer as a polynomial in its simplest form. b.   Show that , where p is a positive constant. State the value of p. c.   Sketch the graph of y = f(x), showing the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#9

Hits: 189   Question Figure 1 shows a sketch of the curve C with equation y = f(x). The curve C passes through the point (-1,0) and touches the x-axis at the point (2,0). The curve C has a maximum at the point (0,4). a.   The equation of the curve C can be written in the form Where […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2013 | January | Q#1

Hits: 15   Question Factorise completely Solution We are given;

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | January | Q#8

Hits: 54 Question The curve  has equation a.   Find . b.   Sketch , showing the coordinates of the points where C1 meets the x-axis. c.   Find the gradient of  at each point where C1 meets the x-axis. The curve  has equation where k is a constant and . d.   Sketch , showing the coordinates of the points where […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#10

Hits: 302   Question The curve C has equation y = (x +1)(x + 3)2 a.   Sketch C, showing the coordinates of the points at which C meets the axes. b.   Show that . The point A, with x-coordinate -5, lies on C. c.   Find the equation of the tangent to C at A, giving your […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#10

Hits: 43   Question a.   On the axes below, sketch the graphs of i.        ii.     showing clearly the coordinates of all the points where the curves cross the coordinate axes. b.   Using your sketch state, giving a reason, the number of real solutions to the equation Solution a.   i.   We are required to sketch; We need to […]

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

Hits: 88   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 | January | Q#9

Hits: 65   Question a)   Factorise completely x3 – 4x b)  Sketch the curve C with equation y = x3 – 4x showing the coordinates of the points at which the curve meets the x-axis. The point A with x-coordinates -1 and the point B with x-coordinate 3 lie on the curve C. c)   Find an equation of the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#10

Hits: 22   Question a)   Factorise completely x3 – 6×2 + 9x b)  Sketch the curve with equation y = x3 – 6×2 + 9x showing the coordinates of the points at which the curve meets the x-axis. Using your answer to part (b), or otherwise, c)   (c) sketch, on a separate diagram, the curve with equation y […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#8

Hits: 31   Question The point P (1, a) lies on the curve with equation y = (x + 1)2(2– x). a.   Find the value of a. b.   On the axes below sketch the curves with the following equations: i.       y = (x + 1)2(2– x) ii.        On your diagram show clearly the coordinates of any […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#2

Hits: 11   Question Factorise completely x3 – 9x Solution

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | January | Q#10

Hits: 45   Question The curve C has equation y=(x + 3)(x −1)2 . a.   Sketch C showing clearly the coordinates of the points where the curve meets the coordinate  axes. b.   Show that the equation of C can be written in the form y = x3 + x2 − 5x + k, where k is a […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#9

Hits: 36   Question The curve C has equation y= f(x) passes through the point (5,65). Given that; a.   Use integration to find f(x). b.   Hence show that c.   In the space provided on page 17, sketch C, showing the coordinates of the points where C crosses the x-axis. Solution a.   We are required to find […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | January | Q#10

Hits: 37   Question a.   On the same axes sketch the graphs of the curves with equations i.       y=x2(x –2), ii.     y=x(6 –x), and indicate on your sketches the coordinates of all the points where the curves  cross the x-axis. b.   Use algebra to find the coordinates of the points where the graphs intersect. Solution a.     […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#9

Hits: 24   Question Given that f(x)=( x2 – 6x)(x – 2) + 3x, a.   express f(x) in the form x(ax2 + bx + c), where a, b and c are constants. b.   Hence factorise f(x) completely. c.   Sketch the graph of y = f(x), showing the coordinates of each point at which the graph meets the  […]