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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

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

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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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

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