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

Question a.   Write  in the form  where p and q are constants. Given that  , x > 0, b.   find  , simplifying the coefficient of each term. Solution a.   We are given; b.   We are given; We are required to find; Therefore; Rule for differentiation of  is: As demonstrated in (a); Therefore; Rule for differentiation of  is: […]

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

Question Simplify Giving your answer in the form , where a and b are integers. 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 […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | June | Q#2

Question It is given that  and . Find, in the simplest form, the value of : a.   b.   c.   . Solution a.   We are given that  and . b.     We are given that  and . c.     We are given that  and . We have the algebraic formula; From (a) we have; Therefore;

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | January | Q#3

Question a.   Express  in the form  where  is an integer. b.   Express  in the form  , where   and  are an integers. Solution i.   We are given; ii.   We are given;   We have algebraic formulae;