# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Oct-Nov | (P2-9709/22) | Q#5

Question The curve with equation crosses the x-axis at only one point. This point has coordinates .   i.               Show that satisfies the equation ii.               Show by calculation that 0.75 < p < 0.85.  iii.               Use an iterative formula based on the equation in part (i) to find the value of p  correct to 5 […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Oct-Nov | (P2-9709/23) | Q#4

Question The diagram shows the curve with equation . The curve crosses the x-axis at points with coordinates  and .      i.       Use the factor theorem to show that (x +2) is a factor of    ii.       Show that satisfies an equation of the form , and state the  values of p and q.   […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Oct-Nov | (P2-9709/21) | Q#4

Question The diagram shows the curve with equation . The curve crosses the x-axis at points with coordinates  and .      i.       Use the factor theorem to show that (x +2) is a factor of    ii.       Show that satisfies an equation of the form , and state the  values of p and q. […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | May-Jun | (P2-9709/23) | Q#6

Question It is given that where a is a positive constant. i.       Show that    ii.       Use the equation in part (i) to show by calculation that 1.5 < a < 1.6.   iii.       Use an iterative formula based on the equation in part (i) to find the value of a correct to 3  significant […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | May-Jun | (P2-9709/22) | Q#6

Question It is given that where a is a positive constant.     i.       Show that    ii.       Use the equation in part (i) to show by calculation that 1.5 < a < 1.6.   iii.       Use an iterative formula based on the equation in part (i) to find the value of a correct to 3  […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | May-Jun | (P2-9709/21) | Q#4

Question The diagram shows the curve . The curve crosses the x-axis at the point P and has a maximum point M.      i.       Find the gradient of the curve at the point P.    ii.       Show that the x-coordinate of the point M satisfies the equation   iii.       Use an iterative formula based on […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2018 | Feb-Mar | (P2-9709/22) | Q#5

Question It is given that a is a positive constant such that i.       Show that    ii.       Use the equation in part (i) to show by calculation that 1.0 < a < 1.5.   iii.       Use an iterative formula based on the equation in part (i) to find the value of a correct […]