Edexcel Maths Fp2 Paper
Paper Reference(s)
6667
Edexcel GCE
Further Pure Mathematics FP1 Advanced Level
Specimen Paper Time: 1 hour 30 minutes
Materials required for examination Answer Book (AB16) Graph Paper (ASG2) Mathematical Formulae (Lilac) Items included with question papers Nil
Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and/or integration. Thus candidates may NOT use calculators such as the Texas Instruments TI-89, TI-92, Casio CFX-9970G, Hewlett Packard HP 48G.
Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Further Pure Mathematics FP1), the paper reference (6667), your surname, initials and signature. When a calculator is used, the answer should be given to an appropriate degree of accuracy. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. This paper has eight questions. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit.
This publication may only be reproduced in accordance with London Qualifications Limited copyright policy. Edexcel Foundation is a registered charity. ©2003 London Qualifications Limited
1.
Prove that
å (r r =1
n
2
- r -1 =
)
1 (n - 2)n(n + 2) . 3
(5)
2.
1 f ( x ) = ln x - 1 - . x
(a) Show that the root a of the equation f(x) = 0 lies in the interval 3 < a < 4 .
(2)
(b) Taking 3.6 as your starting value, apply the Newton-Raphson procedure once to f(x) to obtain a second approximation to a. Give your answer to 4 decimal places. (5) 3. Find the set of values of x for which
1 x > . x -3 x -2
(7)
4.
f ( x ) º 2 x 3 - 5 x 2 + px - 5, p Î ℝ. The equation f
6667
Edexcel GCE
Further Pure Mathematics FP1 Advanced Level
Specimen Paper Time: 1 hour 30 minutes
Materials required for examination Answer Book (AB16) Graph Paper (ASG2) Mathematical Formulae (Lilac) Items included with question papers Nil
Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and/or integration. Thus candidates may NOT use calculators such as the Texas Instruments TI-89, TI-92, Casio CFX-9970G, Hewlett Packard HP 48G.
Instructions to Candidates In the boxes on the answer book, write the name of the examining body (Edexcel), your centre number, candidate number, the unit title (Further Pure Mathematics FP1), the paper reference (6667), your surname, initials and signature. When a calculator is used, the answer should be given to an appropriate degree of accuracy. Information for Candidates A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. Full marks may be obtained for answers to ALL questions. This paper has eight questions. Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit.
This publication may only be reproduced in accordance with London Qualifications Limited copyright policy. Edexcel Foundation is a registered charity. ©2003 London Qualifications Limited
1.
Prove that
å (r r =1
n
2
- r -1 =
)
1 (n - 2)n(n + 2) . 3
(5)
2.
1 f ( x ) = ln x - 1 - . x
(a) Show that the root a of the equation f(x) = 0 lies in the interval 3 < a < 4 .
(2)
(b) Taking 3.6 as your starting value, apply the Newton-Raphson procedure once to f(x) to obtain a second approximation to a. Give your answer to 4 decimal places. (5) 3. Find the set of values of x for which
1 x > . x -3 x -2
(7)
4.
f ( x ) º 2 x 3 - 5 x 2 + px - 5, p Î ℝ. The equation f