Edexcel Core Mathematics C2 January 2013
Questions and Worked Solutions for C2 Edexcel Core Mathematics January 2013.
Edexcel Core Mathematics C2 January 2013 Past Paper
Core 2 Mathematics Edexcel January 2013 Question 1
1. Find the first 3 terms, in ascending powers of x, in the binomial expansion of
(2 - 5x)6
Give each term in its simplest form.
2. f(x) = ax3 + bx2 - 4x - 3, where a and b are constants.
Given that (x – 1) is a factor of f(x),
(a) show that a + b = 7
Given also that, when f(x) is divided by (x + 2), the remainder is 9,
(b) find the value of a and the value of b, showing each step in your working.
3. A company predicts a yearly profit of £120 000 in the year 2013. The company predicts that the yearly profit will rise each year by 5%. The predicted yearly profit forms a geometric sequence with common ratio 1.05
(a) Show that the predicted profit in the year 2016 is £138 915
(b) Find the first year in which the yearly predicted profit exceeds £200 000
(c) Find the total predicted profit for the years 2013 to 2023 inclusive, giving your answer to the nearest pound.
Core 2 Mathematics Edexcel January 2013 Question 4
4. Solve, for 0° ≤ x < 180°,
cos(3x - 10°) = -0.4
giving your answers to 1 decimal place. You should show each step in your working.
5. The circle C has equation
x2 + y2 -20x -24y + 195 = 0
The centre of C is at the point M.
(a) Find
(i) the coordinates of the point M,
(ii) the radius of the circle C.
N is the point with coordinates (25, 32).
(b) Find the length of the line MN.
The tangent to C at a point P on the circle passes through point N.
(c) Find the length of the line NP.
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