Hits: 56

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#11

Hits: 56   Question The gradient of a curve C is given by  , x≠0. a.   Show that . The point (3, 20) lies on C. b.   Find an equation for the curve C in the form y = f(x). Solution a.   We are given that; b.     We are given that point (3,20) lies […]

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

Hits: 865   Question The points Q (1, 3) and R (7, 0) lie on the line , as shown in Figure. The length of QR is . a.   Find the value of a. The line l2 is perpendicular to , passes through Q and crosses the y-axis at the point P, as shown  in Figure. Find […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#9

Hits: 59   Question The curve C has equation , where k is a constant. a.   Find . Point A with x-coordinate  lies on C. The tangent to C at A is parallel to the line with equation  . Find b.   The value of k. c.   The value of y-coordinate of A. Solution a.   Gradient (slope) of […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#8

Hits: 560   Question Given that the equation 2qx2 + qx – 1 = 0, where q is a constant, has no real roots, a.   show that q2 + 8q < 0. b.   Hence find the set of possible values of q. Solution a.   We are given; We are given that given equation has no real roots. […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#7

Hits: 254   Question Sue is training for a marathon. Her training includes a run every Saturday starting with a run of 5 km  on the first Saturday. Each Saturday she increases the length of her run from the previous  Saturday by 2 km. a.   Show that on the 4th Saturday of training she runs 11 km. b.   […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#6

Hits: 39 Question The curve C has equation  and the line  has equation y = 2x + 5. a.   On the axes below, sketch the graphs of C and , indicating clearly the coordinates of any intersections with the axes. b.   Find the coordinates of the points of intersection of C and . Solution a.   […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#5

Hits: 54   Question A sequence x1, x2, x3, …. ……. is given by: x1=1, xn+1=axn – 3, n≥1, where a is a constant. a.   Find an expression for x2 in terms of a. b.   Show that x3=a2 – 3a – 3. Given that x3=7, c.   find the possible values of a. Solution a.   We are given […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#4

Hits: 13   Question , a.   Differentiate to find  . Given that , b.   Find the value of x. Solution a.   We are required to differentiate; Rule for differentiation of  is: Rule for differentiation of  is: Rule for differentiation is of  is: b.   We are given that; We have found in (a) that; We are given that […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#3

Hits: 71   Question Figure 1 shows a sketch of the curve with equation y = f(x). The curve passes through the point (0,7) and has a minimum point at (7, 0). On separate diagrams, sketch the curve with equation a.   y = f(x) + 3, b.   y = f(2x). On each diagram, show clearly the coordinates […]

# 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 | June | Q#1

Hits: 14 Question Find Solution We are required to find; Rule for integration of  is: Rule for integration of  is: Rule for integration of  is: