# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2017 | June | Q#6

Question a.   Given y = 2x, show that can be written in the form b.   Hence solve Solution a)     We have the equation; We are given that y = 2x; b)    We are required to solve; As demonstrated in (a) this can be written as; Now we have two options. For these values of y, we can find corresponding values […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#2

Question Express  in the form , giving y in the form ax + b, where a and b are constants. Solution We are given; Hence; Therefore;

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2015 | June | Q#7

Question Given that , a.   Express  in terms of y. b.   Hence, or otherwise, solve  Solution a)     We have; We are given; Therefore; b)    We are given; As demonstrated in (a)  and given , therefore; Now we have two options. Substituting these values in following given equation yields corresponding values of x. For ; For ;

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2014 | June | Q#2

Question a.  Evaluate  . b.  Simplify fully . Solution a.   b.

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2014 | June | Q#2

Question a.   Write down the value of  . b.   Simplify fully . Solution a.   b.

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

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 (C1-6663/01) | Year 2013 | June | Q#3

Question a.   Find the value of  . b.   Simplify fully . Solution a.   b.

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

Question Express 82x+3 in the form 2y , stating y in terms of x. Solution We are given; Hence, comparing it with 2y gives;

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2012 | June | Q#2

Question a.   Evaluate , giving your answer as an integer. b.   Simplify fully . Solution a.   b.

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#1

Question Find the value of a.   b.   Solution a.   b.

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#1

Question a.  Find the value of b.  Simplify Solution a.   b.

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | June | Q#2

Question Given that , find the value of a. Solution We are given;

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#6

Question Given that  can be written in the form 2xp – xq, a.   Write down the value of p and the value of q. Given that , b.   find , simplifying the coefficient of each term. Solution a.   We are given that; Hence, p=3/2 while q=1. b.     We are given that; We […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2009 | January | Q#1

Question a.   Write down the value of . b.   Find the value . Solution a.   b.

# 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#2

Question a.   Find the value of . b.   Simplify . Solution a.   b.

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

Question a.   Find the value of . b.   Simplify . Solution a.   b.

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#1

Question a.   Write down the value of . b.   Find the value of . Solution a.   b.

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | June | Q#1

Question a.   Write down the value of . b.   Find the value of . Solution a.   b.