# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#7

Question An athlete prepares for a race by completing a practice run on each of 11 consecutive days. On  each day after the first day, he runs further than he ran on the previous day. The lengths of his 11 practice runs form an arithmetic sequence with first term a km and common  difference d km. He runs 9 […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#4

Question A sequence a1, a2, a3, . . . is defined by a1 = 3 an+1 = 3an– 5, n1. a.   Find the value of a2 and the value of a3. b.   Calculate the value of Solution a.   We are given that; an+1 = 3an – 5 a1 = 3 Therefore, we can find […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#7

Question On Alice’s 11th birthday she started to receive an annual allowance. The first annual allowance was  £500 and on each following birthday the allowance was increased by £200. a.   Show that, immediately after her 12th birthday, the total of the allowances that Alice had received  was £1200. b.   Find the amount of Alice’s annual allowance on her […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#2

Question The sequence of positive numbers , , , … is given by: , a.   Find ,  and . b.   Write down the value of . Solution a.   We are given that (n+1)th term of arithmetic series is represented by; Therefore, to find nth term we substitute (n-1) for n in the given expression. Hence; […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | May-Jun | (P1-9709/01) | Q#3

Question Each year a company gives a grant to a charity. The amount given each year increases by 5% of its  value in the preceding year. The grant in 2001 was \$5000. Find i.         the grant given in 2011, ii.       the total amount of money given to the charity during the years 2001 to 2011 inclusive. […]