1. Topic Past Papers –Algebra
Advanced Higher
Topic Past Papers –Algebra
Unit 1 Outcome 1
2001
A5. (a) Obtain partial fractions for
(2)
A6. Expand and simplify as far as possible.
(5)
2002
A8. Express in the form stating the values of the constants
A, B and C.
(3)
2004 2.
Obtain the binomial expansion of
(3) 5.
Express in partial fractions.
(2)
2005
13.
Express in partial fractions.
(4)
2007 1.
Express the binomial expansion of
for integers a, b, c, d and e.
(4) 4.
Express in partial fractions.
(3)
2008 4.
Express in partial fractions.
(3)
Write down and simplify the general term in the expansion of
Hence, or otherwise, obtain the term in x14.
(3) 8.
(2)
2009 8.
(a) Write down the binomial expansion of (1 + x)5.
(b) Hence show that (0.9)5 is
(1)
(2)
14.
Express in partial fractions.
(4)
2011
Express in partial fractions
(2)
Use the binomial theorem to expand and simplify your answer.
(3)
Lanark Grammar Mathematics Department
Mrs Leck

2. Topic Past Papers –Algebra
Advanced Higher
Topic Past Papers –Algebra
Unit 1 Outcome 1
2012 4.
Write down and simplify the general term in the expansion of
Hence, or otherwise, obtain the term independent of x.
(3)
15.
Express in partial fractions
Obtain the general solution of the differential equation
expressing your answer in the form
(2)
(4)
2013
(4) 1.
Write down the binomial expansion of and simplify your answer.
2014 2.
Write down and simplify the general term in the expression
Hence, or otherwise, obtain the term in
(5)
14.
(a) Given the series write down the sum to infinity when
Hence obtain an infinite geometric series for
For what values of r is this series valid?
Express in partial fractions.
Hence, or otherwise, determine the first three terms of an infinite series for
For what values of r does the series converge?
Lanark Grammar Mathematics Department
Mrs Leck

3. Topic PP - Algebra - Answers
Advanced Higher
Topic PP - Algebra - Answers
Unit 1 Outcome 1
2001
2002
2004
2005
2007
2008
2009
2011
2012
2013
2014
Lanark Grammar Mathematics Department
Mrs Leck