Edexcel Core Mathematics C1 May 2015

Questions and Worked Solutions for C1 Edexcel Core Mathematics May 2015
Edexcel Core Mathematics C1 May 2015 Past Paper

Core 12 Mathematics Edexcel May 2015 Question 1

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Core 12 Mathematics Edexcel May 2015 Question 2
Solve the simultaneous equations
y - 2x - 4 = 0
4x² + y² + 20x = 0

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Core 12 Mathematics Edexcel May 2015 Question 3

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Core 12 Mathematics Edexcel May 2015 Question 4

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Core 12 Mathematics Edexcel May 2015 Question 5

The equation
(p -1)x² + 4x + (p - 5) = 0 where p is a constant
has no real roots.
(a) Show that p satisfies p² - 6p + 1 > 0
(b) Hence find the set of possible values of p.

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Core 12 Mathematics Edexcel May 2015 Question 6

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Core 12 Mathematics Edexcel May 2015 Question 7
Given that y = 2^x,
(a) express 4^x in terms of y.
(b) Hence, or otherwise, solve
8(4^x) - 9(2^x) + 1 = 0

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Core 12 Mathematics Edexcel May 2015 Question 8
(a) Factorise completely 9x - 4x³
(b) Sketch the curve C with equation
y = 9x - 4x³
Show on your sketch the coordinates at which the curve meet the x-axis.
The points A and B lie on C and have x coordinates of -2 and 1 respectively.
(c) Show that the length of AB is k√10 where k is a constant to be found.

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Core 12 Mathematics Edexcel May 2015 Question 9
Jess started work 20 years ago. In year 1 her annual salary was £17000. Her annual salary increased by £1500 each year, so that her annual salary in year 2 was £18500, in year 3 it was £20000 and so on, forming an arithmetic sequence. This continued until she reached her maximum salary of £32000 in year k. Her annual salary the remained at £32000.
(a) Find the value of the constant k.
(b) Calculate the total amount that Jess has earned in 20 years.

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Core 12 Mathematics Edexcel May 2015 Question 10

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