Edexcel Core Mathematics C1 January 2013 Past Paper
Core 1 Mathematics Edexcel January 2013 Question 7
7. Lewis played a game of space invaders. He scored points for each spaceship that he captured. Lewis scored 140 points for capturing his first spaceship. He scored 160 points for capturing his second spaceship, 180 points for capturing his third spaceship, and so on. The number of points scored for capturing each successive spaceship formed an arithmetic sequence.
(a) Find the number of points that Lewis scored for capturing his 20th spaceship.
(b) Find the total number of points Lewis scored for capturing his first 20 spaceships.
(c) find the value of n.
(b) Hence find the set of possible values of k.
Completing the Square
4x2 + 8x + 3 ≡ a(x + b)2 + c
(a) Find the values of the constants a, b and c.
(b) On the axes, sketch the curve with equation y = 4x2 + 8x + 3, showing clearly the coordinates of any points where the curve crosses the coordinate axes.
y = 2x -8√x + 5, x ≥ 0
(a) Find dy/dx , giving each term in its simplest form.
The point P on C has x-coordinate equal to 1/4
(b) Find the equation of the tangent to C at the point P, giving your answer in the form y = ax + b, where a and b are constants.
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