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

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 for (A […]

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

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 first term […]

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

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 number of […]

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

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 ; b.   […]

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

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 £26 000, […]

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

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 ;