C1 Algebra and Functions/Quadratic Functions Questions
6.
June 2006
(a) Expand and simplify (4 + 3) (4 – 3).
(2)
(b) Express
26
in the form a + b3, where a and b are integers.
4  3
(2)
8.
June 2006
The equation x2 + 2px + (3p + 4) = 0, where p is a positive constant, has equal roots.
(a) Find the value of p.
(4)
(b) For this value of p, solve the equation x2 + 2px + (3p + 4) = 0.
(2)
1.
June 2009
Simplify
(a) (3√7)2
(1)
(b) (8 + √5)(2 − √5)
(3)
6.
June 2009
The equation x2 + 3px + p = 0, where p is a non-zero constant, has equal roots.
Find the value of p.
(4)
10.
June 2009
(a) Factorise completely x3 – 6x2 + 9x
(3)
Jan 2008
1
2.
(a) Write down the value of 16 4 .
(1)
3
(b) Simplify (16 x12 ) 4 .
(2)
Jan 2008
3.
Simplify
5 3
,
2  3
giving your answer in the form a + b3, where a and b are integers.
(4)
Jan 2010
Jan 2010
June 2010
June 2010
Jan 2011
Jan 2011
June 2012
C1 – Algebra and Functions/Quadratic Functions Questions ANSWERS (53
marks)
June 2006
June 2009
Jan 2008
Jan 2010
June 2010
Jan 2011
June 2012