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Questions and Worked Solutions for C1 Edexcel Core Mathematics May 2014.

Edexcel Core Mathematics C1 May 2014 Past Paper

Core 1 Mathematics Edexcel May 2014 Question 1

Integration

1. Find

∫(8x^{3} + 4) dx

giving each term in its simplest form. Core 1 Mathematics Edexcel May 2014 Question 2

Indices

2. (a) Write down the value of 32^{1/5}

(b) (b) Simplify fully (32x^{5})^{-2/5}
Core 1 Mathematics Edexcel May 2014 Question 3a

Solving a linear inequality

3. Find the set of values of x for which

(a) 3x – 7 > 3 – x Core 1 Mathematics Edexcel May 2014 Question 3b

Solving a quadratic inequality

3. Find the set of values of x for which

(b) x^{2} – 9x ≤ 36
Core 1 Mathematics Edexcel May 2014 Question 3c

Solving simultaneous inequalities

3. Find the set of values of x for which

(c) both 3x – 7 > 3 – x and x^{2} and x^{2} – 9x ≤ 36

Core 1 Mathematics Edexcel May 2014 Question 4

Figure 1 shows a sketch of the curve C with equation

y = 1/x + 1, x ≠ 0

The curve C crosses the x-axis at the point A.

(a) State the x coordinate of the point A.

The curve D has equation y = x^{2}(x – 2), for all real values of x.

(b) A copy of Figure 1 is shown on page 7.

On this copy, sketch a graph of curve D.

Show on the sketch the coordinates of each point where the curve D crosses the coordinate axes.

(c) Using your sketch, state, giving a reason, the number of real solutions to the equation

x^{2}(x – 2) = 1/x + 1

Core 1 Mathematics Edexcel May 2014 Question 5

A sequence of numbers a_{1}, a_{2}, a_{3}, ... is defined by

a_{n + 1} = 5a_{n} – 3, n ≥ 1

Given that a_{2} = 7,

(a) find the value of aa_{1}

(b) Find the value of

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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 videos, activities and worksheets that are suitable for A Level Maths

Questions and Worked Solutions for C1 Edexcel Core Mathematics May 2014.

Edexcel Core Mathematics C1 May 2014 Past Paper

Core 1 Mathematics Edexcel May 2014 Question 1

Integration

1. Find

∫(8x

giving each term in its simplest form. Core 1 Mathematics Edexcel May 2014 Question 2

Indices

2. (a) Write down the value of 32

(b) (b) Simplify fully (32x

Solving a linear inequality

3. Find the set of values of x for which

(a) 3x – 7 > 3 – x Core 1 Mathematics Edexcel May 2014 Question 3b

Solving a quadratic inequality

3. Find the set of values of x for which

(b) x

Solving simultaneous inequalities

3. Find the set of values of x for which

(c) both 3x – 7 > 3 – x and x

Figure 1 shows a sketch of the curve C with equation

y = 1/x + 1, x ≠ 0

The curve C crosses the x-axis at the point A.

(a) State the x coordinate of the point A.

The curve D has equation y = x

(b) A copy of Figure 1 is shown on page 7.

On this copy, sketch a graph of curve D.

Show on the sketch the coordinates of each point where the curve D crosses the coordinate axes.

(c) Using your sketch, state, giving a reason, the number of real solutions to the equation

x

Core 1 Mathematics Edexcel May 2014 Question 5

A sequence of numbers a

a

Given that a

(a) find the value of aa

(b) Find the value of

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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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