Hits: 71

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2017 | June | Q#1

Hits: 71   Question a.  Express  in the form , where m and n are integers.  b. Solve the equation giving your answer in its simplest form. Solution a.   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 […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2016 | June | Q#2

Hits: 30   Question a.   Simplify . b.   Express  in the form  , where m and n are integers. Solution a.   b.   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 […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2014 | June | Q#2

Hits: 32   Question A rectangle has length  cm and area  cm2.  Find the width of the rectangle, giving your answer in the form  cm, where m and n are  integers. Solution Expression for the area of the rectangle is; For the given case; If we need a rational number in the denominator of a fraction, we need to follow procedure of  […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2013 | June | Q#2

Hits: 21   Question a.                              i.       Express  in the form , where k is an integer.                          ii.       Solve the equation                   giving your answer in its simplest form. b.   Express  in the form , where m is an integers. Solution a.   […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2013 | January | Q#3

Hits: 29   Question a.                               i.       Express  in the form , where k is an integer.                          ii.       Simplify  . b.   Express  in the form , where m and n are integers. Solution a.   i.   We are given; Since ; ii.   Since ; Since ; b.   […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2012 | June | Q#1

Hits: 32   Question Express  in the form , where m and n 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 If the […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2012 | January | Q#3

Hits: 20   Question a.                               i.       Simplify .                          ii.       Show that  is an integer and find its value.                        iii.       Simplify  , giving your answer as an integer. b.   Express  in the form , where m and n are integers. Solution a.                               i.   We are given; ii.   We […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2011 | June | Q#2

Hits: 16   Question a.                        i.       Express  in the form , where k is an integer.                  ii.       Simplify  , giving your answer as an integer. b.   Express  in the form , where m and n are integers. Solution a.                               i.   We are given; Since ; ii.   Since ; Since ; […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2011 | January | Q#2

Hits: 14   Question a.   Simplify . b.    Express  in the form Solution a.   We are given; b.   We are given the expression; 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 […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | June | Q#2

Hits: 23   Question a.   Express  in the form  , where m and n are integers. b.   Hence express  in the form  , where p and q are integers. Solution a.   We have algebraic formula; For the given case; b.   We are given the expression; We have found in (a) that; Therefore; If we need a rational number in […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2010 | January | Q#4

Hits: 17   Question a.   Show that  is an integer and find its value. b.    Express  in the form  , where m and n are integers. Solution a.   We are given the expression; 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 […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | June | Q#2

Hits: 8 Question a.   Express  in the form  , where m and n are integers. b.   The diagram shows a right-angled triangle. The hypotenuse has length  cm. The other two sides have lengths  cm and x cm. Find the  value of x. Solution a.   We are given the expression; We need to rationalize the denominator. If we need a rational […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2009 | January | Q#3

Hits: 16   Question a.   Express  in the form  , where m and n are integers. b.   Express   in the form , where k is an integer. Solution a.   We are given the expression;   We have algebraic formula; Since b.     We are given the expression; Since ; Since ;

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

Hits: 33 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

Hits: 17   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;

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | June | Q#2

Hits: 24   Question a.   Express  in the form  , where  is an integer. b.   Express  in the form  , where  and  are integers. Solution a.   b.     We have algebraic formula;

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2007 | January | Q#3

Hits: 41   Question a.  Express  in the form of , where  and  are integers. b.                      i.       Express  in the form  , where n is an integer.                   ii.       Solve the equation giving your answer in its simplest form. Solution a.   We are given;   If we need a rational number in […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | June | Q#5

Hits: 37   Question The curve with equation  is sketched below. The curve crosses the x-axis at the origin  and the point  lies on the curve.  a.                                i.       Find                          ii.       Hence show that the curve has a stationary  point when  and find the x-coordinate  of the other stationary point. b.                             […]

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | June | Q#4

Hits: 20   Question a.   Express  in the form , where  and  are integers. b.   Show that Express  is an integer and find its value. Solution a.    We are given; We can do simple algebraic multiplication; b.   Since ; Since ;

# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2006 | January | Q#1

Hits: 16   Question a.   Simplify . b.   Express  in the form  , where  is an integer. Solution a.   We have algebraic formula; For the given case; b.   Since ; Since ; Comparing with  gives us;