Hits: 959

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#9

Hits: 959 Question a.   Calculate the sum of all the even numbers from 2 to 100 inclusive, 2 + 4 + 6 + …… + 100 b.   In the arithmetic series k + 2k + 3k + …… + 100 k is a positive integer and k is a factor of 100.                                         i.    Find, in terms of k, […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#5

Hits: 35   Question A sequence  is defined by   , Where  is a positive integer. a)   Write down an expression for  in terms of k. b)  Show that c)                         i.       Find  in terms of k, I its simplest form.                   ii.       Show that  is divisible by 6. 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 2011 | January | Q#6

Hits: 113 Question An arithmetic sequence has first term a and common difference d. The sum of the first 10 terms of the sequence is 162. a.  Show that 10a + 45d =162 Given also that the sixth term of the sequence is 17, b.  write down a second equation in a and d, c.  find the value of a and […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#4

Hits: 10   Question A sequence  is defined by Where  is a constant. a)   Find an expression for  in terms of c. Given that , b)  Find the value of c. 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 | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/13) | Q#2

Hits: 404 Question The first and second terms of a progression are 4 and 8 respectively. Find the sum of the first 10  terms given that the progression is     i.       an arithmetic progression    ii.       a geometric progression. Solution i.   From the given information, we can compile following data about Arithmetic Progression (A.P); Expression for the sum of  number of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/12) | Q#10

Hits: 1456 Question a)   An arithmetic progression contains 25 terms and the first term is −15. The sum of all the terms in  the progression is 525. Calculate            i.       the common difference of the progression         ii.       the last term in the progression       iii.       the sum of all the positive terms in the progression.  […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/11) | Q#6

Hits: 981 Question a)   The sixth term of an arithmetic progression is 23 and the sum of the first ten terms is 200. Find  the seventh term. b)   A geometric progression has first term 1 and common ratio r. A second geometric progression  has first term 4 and common ratio . The two progressions have the same […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/13) | Q#6

Hits: 1803 Question a)   A geometric progression has a third term of 20 and a sum to infinity which is three times the first  term. Find the first term. b)   An arithmetic progression is such that the eighth term is three times the third term. Show that the  sum of the first eight terms is four times the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/12) | Q#10

Hits: 2430 Question a)   A circle is divided into 6 sectors in such a way that the angles of the sectors are in arithmetic  progression. The angle of the largest sector is 4 times the angle of the smallest sector. Given that  the radius of the circle is 5 cm, find the perimeter of the smallest sector. b)   […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/11) | Q#8

Hits: 1178 Question A television quiz show takes place every day. On day 1 the prize money is \$1000. If this is not won  the prize money is increased for day 2. The prize money is increased in a similar way every day  until it is won. The television company considered the following two different models for increasing  the […]