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Questions and Worked Solutions for C1 Edexcel Core Mathematics January 2012.

Edexcel Core Mathematics C1 January 2012 Past Paper

Core 1 Mathematics Edexcel January 2012 Question 1

Differentiation, Integration

Given that y = x^{4} + 6x^{1/2} find in their simplest form

(a) dy/dx (b) ∫y dx Core 1 Mathematics Edexcel January 2012 Question 2

Surds, Rationalising Surds

2. (a) Simplify √32 + √18 giving your answer in the form a√2 , where a is an integer. (b) Simplify (√32 + √18)/(3 + √2) giving your answer in the form b√2 + c, where b and c are integers.

Core 1 Mathematics Edexcel January 2012 Question 3

Linear Inequality, Quadratic Inequality

3. Find the set of values of x for which

(a) 4x - 5 > 15 - x (b) x(x - 4) > 12 Core 1 Mathematics Edexcel January 2012 Question 4

Sequences

4. A sequence x_{1}, x_{2}, x_{3},,... is defined by

x_{1} = 1

x_{n+1} = ax_{n} + 5, n ≥ 1 where a is a constant.

Intersecting Curves, Curve Sketching

The curve C has equation y = x(5 -x) and the line L has equation 2y = 5x + 4

(a) Use algebra to show that C and L do not intersect.

(b) In the space on page 11, sketch C and L on the same diagram, showing the coordinates of the points at which C and L meet the axes. Core 1 Mathematics Edexcel January 2012 Question 6

Gradient of a Straight Line, Equation of a Perpendicular Line

The line l_{1} has equation 2x - 3y + 12 = 0

(a) Find the gradient of l_{1}
The line l_{1} crosses the x-axis at the point A and the y-axis at the point B, as shown in Figure 1.

The line l_{2} is perpendicular to l_{1 } and passes through B.

(b) Find an equation of l2. The line l_{2} crosses the x-axis at the point C.

(c) Find the area of triangle ABC. More Questions

More Lessons for A Level Maths

Math Worksheets

Questions and Worked Solutions for C1 Edexcel Core Mathematics January 2012.

Edexcel Core Mathematics C1 January 2012 Past Paper

Core 1 Mathematics Edexcel January 2012 Question 1

Differentiation, Integration

Given that y = x

(a) dy/dx (b) ∫y dx Core 1 Mathematics Edexcel January 2012 Question 2

Surds, Rationalising Surds

2. (a) Simplify √32 + √18 giving your answer in the form a√2 , where a is an integer. (b) Simplify (√32 + √18)/(3 + √2) giving your answer in the form b√2 + c, where b and c are integers.

Linear Inequality, Quadratic Inequality

3. Find the set of values of x for which

(a) 4x - 5 > 15 - x (b) x(x - 4) > 12 Core 1 Mathematics Edexcel January 2012 Question 4

Sequences

4. A sequence x

x

x

(a) Write down an expression for x_{2} in terms of a.

(b) Show that x_{3} = a^{2} + 5a + 5

Given that x_{3} = 41

(c) find the possible values of a.

Intersecting Curves, Curve Sketching

The curve C has equation y = x(5 -x) and the line L has equation 2y = 5x + 4

(a) Use algebra to show that C and L do not intersect.

(b) In the space on page 11, sketch C and L on the same diagram, showing the coordinates of the points at which C and L meet the axes. Core 1 Mathematics Edexcel January 2012 Question 6

Gradient of a Straight Line, Equation of a Perpendicular Line

The line l

(a) Find the gradient of l

The line l

(b) Find an equation of l2. The line l

(c) Find the area of triangle ABC. More Questions

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