Edexcel Core Mathematics C1 May 2014

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
   ∫(8x³ + 4) dx
   giving each term in its simplest form.

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Core 1 Mathematics Edexcel May 2014 Question 2
Indices
2. (a) Write down the value of 32^1/5
(b) (b) Simplify fully (32x⁵)^-2/5

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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

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Core 1 Mathematics Edexcel May 2014 Question 3b
Solving a quadratic inequality
3. Find the set of values of x for which
(b) x² – 9x ≤ 36

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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 x² and x² – 9x ≤ 36

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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 = x²(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
x²(x – 2) = 1/x + 1

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Core 1 Mathematics Edexcel May 2014 Question 5
A sequence of numbers a₁, a₂, a₃, … is defined by
a_{n + 1} = 5a_n – 3, n ≥ 1
Given that a₂ = 7,
(a) find the value of aa₁
(b) Find the value of

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