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

Hits: 4   Question Solve the simultaneous equations Solution We are given simultaneous equations; We rearrange the first equation to find y in terms of x. Substituting this  from first equation in the second equation; We have the algebraic formula; Therefore; Now we have two options. By substituting one-by-one these values of  in first equation, we can find corresponding values […]

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

Hits: 3 Question The line  has equation 3x+5y-2=0. a.   Find the gradient of line for . The line  is perpendicular to  and passes through the point (3,1). b.   Find the equation of  in the form y=mx+c, where m and c are constants.. Solution a.   We are given equation of the line  as; We are required to find the gradient of […]

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

Hits: 1   Question a.  Expand and simplify   b.  Express  in the form , where a and b are integers. Solution a.     We are given; Since ; b.     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 […]

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

Hits: 13   Question Given that  , 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 of […]