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

Hits: 316 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: 42 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: 326   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: 39   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 (C1-6663/01) | Year 2014 | June | Q#8

Hits: 113 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 2013 | January | Q#7

Hits: 295   Question Lewis played a game of space invaders. He scored points for each spaceship that he captured. Lewis scored 140 points for capturing his first spaceship. He scored 160 points for capturing his  second spaceship, 180 points for capturing his third spaceship, and so on. The number of points scored for capturing each successive spaceship formed an arithmetic  […]

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

Hits: 11 Question A sequence  satisfies , , Given that , a)   Find the value of  and the value of . b)  Evaluate . Solution a)     We are given that sequence  is defined by We are given that  and required to find . We can utilize the given expression for general terms beyond first term as; Similarly, we can find […]