Hits: 266

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/11) | Q#11

Hits: 266 Question The diagram shows part of the curve  and a point P(2, 1) lying on the curve. The normal  to the curve at P intersects the x-axis at Q.     i.       Show that the x-coordinate of Q is .    ii.       Find, showing all necessary working, the area of the shaded region. Solution […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/11) | Q#10

Hits: 151 Question A curve for which has a stationary point at (3, 6).      i.       Find the equation of the curve.    ii.       Find the x-coordinate of the other stationary point on the curve.  iii.       Determine the nature of each of the stationary points. Solution i.   We can find equation of the curve […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/11) | Q#9

Hits: 257 Question The functions f is defined by  for  ,     i.      State the range of .   ii.     Sketch the graph of . The functions g is defined by for , where is a constant.  iii.     State the largest value of for which g has an inverse.  iv.     For this value of , […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/11) | Q#8

Hits: 181 Question a)  The third and fourth terms of a geometric progression are  and  respectively. Find the sum to infinity of the progression. b)  Two schemes are proposed for increasing the amount of household waste that is recycled each  week. Scheme A is to increase the amount of waste recycled each month by 0.16 […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/11) | Q#7

Hits: 158 Question The diagram shows a three-dimensional shape in which the base OABC and the upper surface  DEFG are identical horizontal squares. The parallelograms OAED and CBFG both lie in vertical  planes. The point M is the mid-point of AF. Unit vectors  and  are parallel to OA and OC respectively and the unit vector […]