Edexcel Core Mathematics C1 January 2010
Questions and Worked Solutions for C1 Edexcel Core Mathematics January 2010.
Past Paper (pdf)
Core 1 Mathematics Edexcel January 2010 Question 1
1. Given that y = x4 + x1/3 + 3 , find dy/dx.
Core 1 Mathematics Edexcel January 2010 Question 2
(a) Expand and simplify (7 + √5)(3 – √5).
(b) Express (7 + √5)/(3 – √5) in the form a + b√5, where a and b are integers.
Core 1 Mathematics Edexcel January 2010 Question 3
3. The line 1l
has equation 3x + 5y − 2 = 0
(a) Find the gradient of 1l
The line l2
is perpendicular to 1l
and passes through the point (3, 1).
(b) Find the equation of l2
in the form y = mx + c, where m and c are constants.
Core 1 Mathematics Edexcel January 2010 Question 4
dy/dx = 5x-1/2
+ x√x, x > 0
Given that y = 35 at x = 4, find y in terms of x, giving each term in its simplest form.
Core 1 Mathematics Edexcel January 2010 Question 5
Solve the simultaneous equations
y - 3x + 2 = 0
- x - 6x2
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