Hits: 36

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Feb-Mar | (P2-9709/22) | Q#2

Hits: 36   Question Solve the inequality . Solution SOLVING INEQUALITY: PIECEWISE Let, . We can write it as; We have to consider both moduli separately and it leads to following cases; When If then above four intervals translate to following with their corresponding inequality; When When When If then above four intervals translate to […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/23) | Q#4

Hits: 57 Question The polynomial is defined by  where  is a constant. It is given that  is a factor of     i.       Use the factor theorem to find the value of .    ii.       Factorise p(x) and hence show that the equation p(x) = 0 has only one real root.   iii.       Use […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/21) | Q#7

Hits: 61 Question The polynomial  is defined by where  and  are constants. It is given that  is a factor of . It is also given that the remainder is 18 when  is divided by .     i.       Find the values of a and b.    ii.       When a and b have these values     […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | May-Jun | (P2-9709/23) | Q#3

Hits: 56 Question      i.       Solve the equation .    ii.       Hence solve the equation  for , giving your answer correct to 3 significant figures. Solution i.   SOLVING EQUALITY: PIECEWISE Let, . We have to consider both moduli separately and it leads to following cases;  OR We have the equation; We have to consider […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | May-Jun | (P2-9709/22) | Q#3

Hits: 89 Question      i.       Solve the equation .    ii.       Hence solve the equation  for , giving your answer  correct to 3 significant figures. Solution i.   SOLVING EQUALITY: PIECEWISE Let, . We have to consider both moduli separately and it leads to following cases;  OR We have the equation; We have to consider […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | May-Jun | (P2-9709/21) | Q#3

Hits: 107 Question Given that 3ex +8e−x = 14, find the possible values of ex and hence solve the equation 3ex +8e−x = 14 correct to 3 significant figures. Solution We are given; Let ; Now we have two options. Since ; Taking logarithm of both sides;  and are inverse functions. The composite function is […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/22) | Q#1

Hits: 136   Question Solve the equation . Solution SOLVING EQUATION: PIECEWISE Let, . We can write it as; We have to consider two separate cases; When When We have the equation; It  can be written as; We have to consider two separate cases; When ; When ; Hence, the only solutions for the given […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2016 | Oct-Nov | (P2-9709/21) | Q#1

Hits: 156 Question      i.       It is given that x satisfies the equation . Find the value of and, using  logarithms, find the value of x correct to 3 significant figures.    ii.       Hence state the values of x satisfying the equation . Solution i.   We are given; We can write it […]