Hits: 17

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#11

Hits: 17 Question The line  meets the the curve  at the points A and B as shown in the figure. a.   Find the coordinates of A and the coordinates of B. b.   Find the distance AB in the form  where r is a rational number. Solution a.   We are required to find the coordinates […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#10

Hits: 28   Question A curve has equation y=f(x). The point P with coordinates (9,0) lies on the curve. Given that  , a.   Find f(x). b.   Find the x-coordinates of two points on y=f(x) where the gradient of the curve is equal to 10. Solution a.   We are given; We are given coordinates of a point […]

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

Hits: 42   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 (C1-6663/01R) | Year 2013 | June | Q#7

Hits: 21   Question Each year, Abbie pays into a saving scheme. In the first year she pays in £500. Her payments the  increase by £200 each year so that she pays £700 in the second year, £900 in the third year and so  on. a.   Find out how much Abbie pays into the saving scheme in the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#6

Hits: 12   Question A sequence  is defined by   , Where  is a constant, . a)   Write down an expression for  in terms of k. b)  Show that Given also that c)   Calculate the value of k. d)  Hence, find the value of . Solution a.     We are given that sequence  is defined by   We are […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#5

Hits: 20   Question Solve a.   . b.   . Solution a.     We are given; b.     We are given; Since ;

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#4

Hits: 10   Question The line  has equation 4x + 2y – 3 = 0. a.   Find the gradient of . The line  is perpendicular to  and passes through the point (2,5). b.   Find an equation of  in the form y = mx + +c, where m and c are constants. Solution a.     We are given equation of line […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#3

Hits: 12   Question Find giving each term in its simplest form. Solution We are given; Rule for integration of  is: Rule for integration of  is:

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#2

Hits: 4   Question Express in the form  , where k is an integer. Solution We are given; If we need a rational number in the denominator of a fraction, we need to follow procedure of  “denominator rationalization” as given below. ü If the denominator is of the form  then multiply both numerator and denominator by .  ü If the denominator is […]

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

Hits: 8   Question Given , find the value of   when x=3. 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 […]