Edexcel Core Mathematics C2 January 2011

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

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Core 2 Mathematics Edexcel January 2011 Question 1
f(x) = x⁴ + x³ + 2x² + ax + b where a and b are constants.

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.

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.

Find

(a) the common ratio of the series,

(b) the first term of the series,

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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.

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.

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Core 2 Mathematics Edexcel January 2011 Question 5

5. Given that,

(a) write down the value of b.

In the binomial expansion of (1 + x)⁴⁰, the coefficients of x⁴ and x⁵ are p and q respectively.
(b) Find the value of q/p.

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