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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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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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