Hits: 322

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#3

Hits: 322 Question On a certain day, the height of a young bamboo plant was found to be 40 cm. After  exactly one day its height was found to be 41.2 cm. Two different models are used to  predict its height exactly 60 days after it was first measured. ·       Model A assumes that the […]

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#3

Hits: 81 Question The common ratio of a geometric progression is 0.99. Express the sum of the first  100 terms as a percentage of the sum to infinity, giving your answer correct to 2  significant figures. Solution We are given that common ration of a Geometric Progression is; Expression for Common Ratio () in a […]

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#3

Hits: 318 Question A company producing salt from sea water changed to a new process. The amount of  salt obtained each week increased by 2% of the amount obtained in the preceding  week. It is given  that in the first week after the change the company obtained 8000  kg of salt. i. Find the amount […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#9

Hits: 162 Question On John’s 10th birthday he received the first of an annual birthday gift of money from his uncle. This  first gift was £60 and on each subsequent birthday the gift was £15 more than the year before.  The amounts of these gifts form an arithmetic sequence. a.   Show that, immediately after his 12th birthday, the […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2016 | June | Q#6

Hits: 28 Question A sequence  is defined by  , Where  is a constant. a)   Write down expressions for  and  in terms of k. Find, b)   in terms of k, giving your answer in its simplest form. c)   . Solution a)     We are given that sequence  is defined by We are required to find  and . We can utilize the […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2015 | June | Q#9

Hits: 118   Question Jess started work 20 years ago. In year 1 her annual salary was £17000. Her annual salary  increased by £1500 each year, so that her annual salary in year 2 was £18500, in year 3 it was  £20000 and so on, forming an arithmetic sequence. This continued until she reached her maximum  annual salary […]

Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2015 | June | Q#4

Hits: 30   Question      i.       A sequence  is defined by  ,  and Find the value of a)     b)     ii.       A sequence  is defined by  ,  and , where k is a constant a)   Find  and  in terms of k. Given that , b)  Find the value of k. Solution i.   a)     We are given that sequence  is […]