Hits: 79

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: 79 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 | (P1-9709/11) | Q#8

Hits: 78 Question The diagram shows a solid figure OABCDEF having a horizontal rectangular base OABC with OA =  6 units and AB = 3 units. The vertical edges OF, AD and BE have lengths 6 units, 4 units and 4  units respectively. Unit vectors ,  and  are parallel to ,   and   respectively.     i.      […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Feb-Mar | (P1-9709/12) | Q#8

Hits: 93 Question A curve has equation . i.Find the x-coordinates of the stationary points. ii.Find . iii.Find, showing all necessary working, the nature of each stationary point. Solution i. We are required to find the coordinates of the stationary point of the curve. Coordinates of stationary point on the curve can be found from […]

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

Hits: 102 Question Fig. 1 shows a rectangle with sides of 7 units and 3 units from which a triangular corner has been  removed, leaving a 5-sided polygon OABCD. The sides OA, AB, BC and DO have lengths of 7  units, 3 units, 3 units and 2 units respectively. Fig. 2 shows the polygon OABCD […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/13) | Q#9

Hits: 230 Question The diagram shows a pyramid OABCD with a horizontal rectangular base OABC.  The sides OA and AB have lengths of 8 units and 6 units respectively. The point E on  OB is such that OE = 2 units. The point D of the pyramid is 7 units vertically  above E. Unit vectors […]

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

Hits: 327 Question The diagram shows a three-dimensional shape. The base OAB is a horizontal  triangle in which angle AOB is 90o. The side OBCD is a rectangle and the side OAD  lies in a vertical plane. Unit vectors  and are parallel to OA and OB respectively  and the unit vector  is vertical. The position […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/11) | Q#7

Hits: 349 Question Relative to an origin O, the position vectors of points A, B and C are given by and                     i.       Find .                ii.       The point M is the mid-point of AC. Find the unit vector in the direction of  .                  iii.       Evaluate and hence […]