# 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 cos^{2} x

can be written in the form

2 sin^{2} x + 5 sin x – 3 = 0

(b) Solve, for 0 ≤ x < 360°,

2 sin^{2} x + 5 sin x – 3 = 0

### C2 Mathematics Edexcel January 2010 Question 3

3. f(x) = 2x^{3} + ax^{2} + 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

log_{x} 64 = 2

(b) Solve for x

log_{2} (11 - 6x) = 2 log_{2} (x - 1) + 3

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