Are you looking for A-level Maths help?

The following videos will give you the worked solutions and answers for the Edexcel GCE Core Mathematics
C1 January 2013.

**Related Pages**

Edexcel GCE Core Mathematics C2 January 2013

More Lessons for A Level Maths

Edexcel Core Mathematics C1 January 2013 Past Paper

Core 1 Mathematics Edexcel January 2013 Question 1

Factorising

- Factorise completely x − 4x
^{3}

Core 1 Mathematics Edexcel January 2013 Question 2

Indices

2. Express 8^{2x+3} in the form 2^{y}, stating y in terms of x.

Core 1 Mathematics Edexcel January 2013 Question 3

Surds

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

Sequences

4. A sequence u_{1}, u_{2}, u_{3} , … satisfies u_{n+1} = 2u_{n} - 1, n ≥ 1

Given that u_{2} = 9,

(a) find the value of u_{3} and the value of u_{4},

(b) evaluate

Core 1 Mathematics Edexcel January 2013 Question 5

Coordinate Geometry

5. The line l_{1} has equation y = -2x + 3

The line l_{2} is perpendicular to l1 and passes through the point (5, 6).

(a) Find an equation for l_{2} in the form ax + by + c = 0, where a b, and c are integers. The line l_{2} 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,

(c) find the area of the triangle OAB.

Core 1 Mathematics Edexcel January 2013 Question 6

Sketching Graphs

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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