Hits: 434

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/12) | Q#11

Hits: 434 Question The diagram shows part of the curve . The curve crosses the y-axis at A and the stationary point on the curve is M. i.       Obtain expressions for and ii.       Find the coordinates of M. iii.    Find, showing all necessary working, the area of the shaded region. Solution i.   We […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/12) | Q#9

Hits: 276 Question The function f is defined by  for .     i.      Express in the form of where a and b are constants.   ii.     State the range of .  The function g is defined by  for .  iii.       State the largest value of k for which g has an inverse.   iv.     Given that […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/12) | Q#7

Hits: 256 Question The diagram shows a solid cylinder standing on a horizontal circular base with centre O and radius  4 units. Points A, B and C lie on the circumference of the base such that AB is a diameter and angle  BOC = 90o. Points P, Q and R lie on the upper surface […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/12) | Q#5

Hits: 388 Question The first three terms of an arithmetic progression are 4, x and y respectively. The first three terms of  a geometric progression are x, y and 18 respectively. It is given that both x and y are positive. a)   Find the value of x and the value of y. b)   Find the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/12) | Q#4

Hits: 290 Question The functions f and g are defined by  for  ,  for      i.      Solve the equation .   ii.     Sketch the graph of . Solution i.   We are given;  for  for We are required to solve equation ; To solve this equation for , we can substitute . Hence, Since given […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/12) | Q#1

Hits: 354 Question Find the coefficient of in the expansion of . Solution We are required to expand; Expression for the general term in the Binomial expansion of is: In the given case: Hence; Since we are looking for the coefficient of the term : we can equate; Finally substituting  in: Therefore, the coefficient of […]