Questions and Worked Solutions for C2 Edexcel Core Mathematics June 2012.

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Edexcel Core Mathematics C2 June 2012 Past Paper

Core 2 Mathematics Edexcel June 2012 Question 1

1. Find the first 3 terms, in ascending powers of x, of the binomial expansion of

(2 – 3x)^{5}

giving each term in its simplest form.

2. Find the values of x such that

2 log_{3} x – log_{3}(x – 2) = 2

Core 2 Mathematics Edexcel June 2012 Question 3

The circle C with centre T and radius r has equation

x^{2} + y^{2} – 20x – 16y + 139 = 0

(a) Find the coordinates of the centre of C.

(b) Show that r = 5

The line L has equation x = 13 and crosses C at the points P and Q as shown in Figure 1.

(c) Find the y coordinate of P and the y coordinate of Q.

Given that, to 3 decimal places, the angle PTQ is 1.855 radians,

(d) find the perimeter of the sector PTQ.

4. f(x) = 2x

(a) Use the factor theorem to show that (x + 2) is a factor of f(x).

(b) Factorise f(x) completely.

Figure 2 shows the line with equation y = 10 – x and the curve with equation y = 10x – x

The line and the curve intersect at the points A and B, and O is the origin.

(a) Calculate the coordinates of A and the coordinates of B.

The shaded area R is bounded by the line and the curve, as shown in Figure 2.

(b) Calculate the exact area of R.

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