Edexcel Core Mathematics C1 January 2013
Questions and Worked Solutions for C1 Edexcel Core Mathematics January 2013.
Edexcel Core Mathematics C1 January 2013 Past Paper
Core 1 Mathematics Edexcel January 2013 Question 2
Core 1 Mathematics Edexcel January 2013 Question 1
1. Factorise completely x − 4x3
2. Express 82x+3
in the form 2y
, stating y in terms of x.
Core 1 Mathematics Edexcel January 2013 Question 3
3. (i) Express (5 - √8)(1 + √2) in the form a + b√2, where a and b are integers.
(ii) Express √80 + 30/√5 in the form c√5, where c is an integer.
Core 1 Mathematics Edexcel January 2013 Question 4
4. A sequence u1
, ... satisfies un+1
- 1, n ≥ 1
Given that u2
(a) find the value of u3
and the value of u4
Core 1 Mathematics Edexcel January 2013 Question 5
5. The line l1
has equation y = -2x + 3
The line l2
is perpendicular to l1 and passes through the point (5, 6).
(a) Find an equation for l2
in the form ax + by + c = 0, where a b, and c are integers.
The line l2 crosses the x-axis at the point A and the y-axis at the point B.
(b) Find the x-coordinate of A and the y-coordinate of B.
Given that O is the origin,
Core 1 Mathematics Edexcel January 2013 Question 6
(c) find the area of the triangle OAB.
Figure 1 shows a sketch of the curve with equation y = 2/x, x ≠ 0 and the line l has equation y = 4x + 2
The curve C has equation y = 2/x - 5
(a) Sketch and clearly label the graphs of C and l on a single diagram.
On your diagram, show clearly the coordinates of the points where C and l cross the coordinate axes.
(b) Write down the equations of the asymptotes of the curve C.
(c) Find the coordinates of the points of intersection of y = 2/x - 5 and y = 4x + 2
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