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 | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/11) | Q#8

Hits: 441 Question a)   A geometric progression has a second term of 12 and a sum to infinity of 54. Find  the possible values of the first term of the progression. b)  The nth term of a progression is p + qn, where p and q are constants, and Sn is  the sum of the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2017 | June | Q#4

Hits: 298 Question A company, which is making 140 bicycles each week, plans to increase its production. The number of bicycles produced is to be increased by d each week, starting from 140 in week 1, to 140 + d in week 2, to 140 + 2d in week 3 and so on, until the company is producing  206 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2017 | June | Q#3

Hits: 64 Question A sequence  is defined by  ,  , Where k is a positive constant. a)   Write down expressions for  and  in terms of k, giving your answers in their simplest form. Given that , b)  Find an exact value for k. Solution a.     We are given that sequence  is defined by We are required to find […]

# 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 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2014 | June | Q#10

Hits: 352   Question Xin has been given a 14 day training schedule by her coach. Xin will run for A minutes on day 1, where A is a constant. She will then increase her running time by (d + 1) minutes each day, where d is a constant. a.   Show that on day 14, Xin will run […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2014 | June | Q#3

Hits: 23   Question A sequence  is defined by  , for  Where  is a constant. a)   Find an expression for  in terms of k. Given that , b)  Find the value of k. Solution a)     We are given that sequence  is defined by We are required to find . We can utilize the given expression for general terms beyond […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2014 | June | Q#8

Hits: 62 Question In the year 2000 a shop sold 150 computers. Each year the shop sold 10 more computers than the  year before, so that the shop sold 160 computers in 2001, 170 computers in 2002, and so on  forming an arithmetic sequence. a.   Show that the shop sold 220 computers in 2007. b.   Calculate the total […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2014 | June | Q#5

Hits: 29 Question A sequence of numbers  is defined by  , for  Given that , .a)   Find the value of . b)  Find the value . Solution a.     We are given that sequence  is defined by We are required to find  when . We can utilize the given expression for general terms beyond first term as; We are given that […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663A/01) | Year 2014 | January | Q#7

Hits: 183   Question Shelim starts his new job on a salary of £14 000. He will receive a rise of £1500 a year for each full  year that he works, so that he will have a salary of £15 500 in year 2, a salary of £17 000 in year 3  and so on. When Shelim’s salary reaches […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663A/01) | Year 2014 | January | Q#5

Hits: 31 Question Given that for all positive integers n, a)   find the value of b)  Find the value of Solution a.     We are given that; We are required to find . Therefore, we substitute n=5; b.     We are required to find . We can find  as follows; Therefore ;

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#7

Hits: 22   Question Each year, Abbie pays into a saving scheme. In the first year she pays in £500. Her payments the  increase by £200 each year so that she pays £700 in the second year, £900 in the third year and so  on. a.   Find out how much Abbie pays into the saving scheme in the […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01R) | Year 2013 | June | Q#6

Hits: 13   Question A sequence  is defined by   , Where  is a constant, . a)   Write down an expression for  in terms of k. b)  Show that Given also that c)   Calculate the value of k. d)  Hence, find the value of . Solution a.     We are given that sequence  is defined by   We are […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2013 | June | Q#7

Hits: 75 Question A company, which is making 200 mobile phones each week, plans to increase its production. The  number of mobile phones produced is to be increased by 20 each week from 200 in week 1 to 220 in week 2, to 240 in week 3 and so on, until it is producing 600 in week N. […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2013 | June | Q#4

Hits: 14 Question A sequence  is defined by  , for  Where  is a constant. a)   Find an expression for  in terms of k. Given that , b)  Find the two possible values of k. Solution a)     We are given that sequence  is defined by We are required to find . We can utilize the given expression for general terms […]