Hits: 16

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#11

Hits: 16   Question The line  has equation y=3x+2 and the line  has equation 3x+2y-8=0. a.   Find the gradient of line for . The point of intersection of  and  is P. b.   Find the coordinates of P. The lines  and  cross the line y=1 at the points A and B respectively. c.   Find the area of triangle ABP. […]

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

Hits: 14 Question The curve C has equation , . The points P and Q lie on C and have x-coordinates 1 and 2 respectively. a.   Show that the length of PQ is . b.   Show that the tangents to C at P and Q are parallel. c.   Find an equation for the normal to […]

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

Hits: 5   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 | June | Q#8

Hits: 6   Question A sequence  is defined by , , Where  is a positive integer. a)   Write down an expression for  a in terms of k. b)  Show that . c)                        i.       Find  in terms of k.                   ii.       Show that  is divisible by 10. Solution a)     We are […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#7

Hits: 6   Question The equation , where k is a constant, has different real roots. a.   Show that . b.   Find the set of possible values of k. Solution a.   We are given; We are given that given equation has different real roots. For a quadratic equation , the expression for solution is; Where  is […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#6

Hits: 15   Question a.   By eliminating y from the equations y= x–4, 2×2– xy = 8, show that x2+ 4x – 8 = 0. b.   Hence, or otherwise, solve the simultaneous equations y= x–4, 2×2– xy = 8, giving your answers in the form , where a and b are integers. Solution a.     We are […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#5

Hits: 6   Question Figure 1 shows a sketch of the curve with equation  , x ≠0. a.   On a separate diagram, sketch the curve with equation , x≠−2, showing the coordinates of  any point at which the curve crosses a coordinate axis. b.   Write down the equations of the asymptotes of the curve in part (a). Solution […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#4

Hits: 23   Question A girl saves money over a period of 200 weeks. She saves 5p in Week 1, 7p in Week 2, 9p in Week  3, and so on until Week 200. Her weekly savings form an arithmetic sequence.  a.   Find the amount she saves in Week 200. b.   Calculate her total savings over the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#3

Hits: 11   Question Given that , x > 0 , find a.   . b.   . c.   Solution a.   We are required to find . Therefore, we are required to differentiate; We are required to find . Rule for differentiation of  is: Rule for differentiation of  is: b.   We are required to find . Second derivative is […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2007 | June | Q#2

Hits: 3   Question a.   Find the value of . b.   Simplify . Solution a.   b.   Please follow and like us: 0

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

Hits: 4   Question Simplify Solution We are given; Please follow and like us: 0