Questions and Worked Solutions for C2 Edexcel Core Mathematics January 2011.

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Edexcel Core Mathematics C2 January 2011 Past Paper

**Core 2 Mathematics Edexcel January 2011 Question 1**

f(x) = x^{4} + x^{3} + 2x^{2} + ax + b where a and b are constants.

**Core 2 Mathematics Edexcel January 2011 Question 2**

In the triangle ABC, AB = 11 cm, BC = 7 cm and CA = 8 cm.

(a) Find the size of angle C, giving your answer in radians to 3 significant figures.

(b) Find the area of triangle ABC, giving your answer in cm2 to 3 significant figures.
**Core 2 Mathematics Edexcel January 2011 Question 3**

3. The second and fifth terms of a geometric series are 750 and –6 respectively.**Core 2 Mathematics Edexcel January 2011 Question 4**

Figure 1 shows a sketch of part of the curve C with equation

y = (x + 1)(x – 5)

The curve crosses the x-axis at the points A and B.

(a) Write down the x-coordinates of A and B.

**Core 2 Mathematics Edexcel January 2011 Question 5**

5. Given that,

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f(x) = x

When f(x) is divided by (x – 1), the remainder is 7.

(a) Show that a + b = 3.

When f(x) is divided by (x + 2), the remainder is -8.

(b) Find the value of a and the value of b.

In the triangle ABC, AB = 11 cm, BC = 7 cm and CA = 8 cm.

(a) Find the size of angle C, giving your answer in radians to 3 significant figures.

(b) Find the area of triangle ABC, giving your answer in cm2 to 3 significant figures.

3. The second and fifth terms of a geometric series are 750 and –6 respectively.

Find

(a) the common ratio of the series,

(b) the first term of the series,

(c) the sum to infinity of the series.Figure 1 shows a sketch of part of the curve C with equation

y = (x + 1)(x – 5)

The curve crosses the x-axis at the points A and B.

(a) Write down the x-coordinates of A and B.

The finite region R, shown shaded in Figure 1, is bounded by C and the x-axis.

(b) Use integration to find the area of R.

5. Given that,

(a) write down the value of b.

In the binomial expansion of (1 + x)^{40}, the coefficients of x^{4} and x^{5} are p and q respectively.

(b) Find the value of q/p.

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