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Edexcel Core Mathematics C2 January 2010




 

Questions and Video Solutions for C2 Edexcel Core Mathematics January 2010

Edexcel Core Mathematics C2 January 2010 Past Paper


C2 Mathematics Edexcel January 2010 Question 1

1. Find the first 3 terms, in ascending powers of x, of the binomial expansion of
(3 - x)6 and simplify each term.

C2 Mathematics Edexcel January 2010 Question 2

2. (a) Show that the equation
5 sin x = 1 + 2 cos2 x
can be written in the form
2 sin2 x + 5 sin x – 3 = 0
(b) Solve, for 0 ≤ x < 360°,
2 sin2 x + 5 sin x – 3 = 0




C2 Mathematics Edexcel January 2010 Question 3

3. f(x) = 2x3 + ax2 + bx - 6
where a and b are constants.
When f(x) is divided by (2x – 1) the remainder is –5.
When f(x) is divided by (x + 2) there is no remainder.
(a) Find the value of a and the value of b.
(b) Factorise f(x) completely.



 

C2 Mathematics Edexcel January 2010 Question 4

An emblem, as shown in Figure 1, consists of a triangle ABC joined to a sector CBD of a circle with radius 4 cm and centre B. The points A, B and D lie on a straight line with AB = 5 cm and BD = 4 cm. Angle BAC = 0.6 radians and AC is the longest side of the triangle ABC.
(a) Show that angle ABC = 1.76 radians, correct to 3 significant figures.
(b) Find the area of the emblem.



C2 Mathematics Edexcel January 2010 Question 5

5. (a) Find the positive value of x such that
logx 64 = 2
(b) Solve for x
log2 (11 - 6x) = 2 log2 (x - 1) + 3

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