Hits: 3007

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | Oct-Nov | (P1-9709/13) | Q#6

Hits: 3007 Question A ball is such that when it is dropped from a height of 1 metre it bounces vertically from the ground  to a height of 0.96 metres. It continues to bounce on the ground and each time the height the ball  reaches is reduced. Two different models, A and B, describe  this. Model A : The […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | Oct-Nov | (P1-9709/11) | Q#8

Hits: 920 Question The first term of a progression is  and the second term is . i.       For the case where the progression is arithmetic with a common difference of 12, find the  possible values of  and the corresponding values of the third term.    ii.       For the case where the progression is geometric with a sum to infinity of 8, find the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | May-Jun | (P1-9709/13) | Q#9

Hits: 2179 Question a)   The first term of an arithmetic progression is −2222 and the common difference is 17. Find the  value of the first positive term. b)   The first term of a geometric progression is  and the second term is  , where  . Find the set of values of  for which the progression is convergent. Solution a)   […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | May-Jun | (P1-9709/12) | Q#8

Hits: 2348 Question a)   The first, second and last terms in an arithmetic progression are 56, 53 and −22 respectively.  Find the sum of all the terms in the progression. b)   The first, second and third terms of a geometric progression are 2k + 6, 2k and k + 2  respectively, where k is a positive constant. […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2015 | May-Jun | (P1-9709/11) | Q#7

Hits: 3046 Question a)   The third and fourth terms of a geometric progression are  and  respectively. Find the sum to infinity of the progression. b)  A circle is divided into 5 sectors in such a way that the angles of the sectors are in arithmetic  progression. Given that the angle of the largest sector is 4 times the […]