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
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.