Questions and Worked Solutions for C1 Edexcel Core Mathematics May 2015.

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**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

Step by Step Solutions for Question 1

Core 12 Mathematics Edexcel May 2015 Question 2

Solve the simultaneous equations

y - 2x - 4 = 0

4x^{2} + y^{2} + 20x = 0

Step by Step Solutions for Question 2

Core 12 Mathematics Edexcel May 2015 Question 3

Step by Step Solutions for Question 3

Core 12 Mathematics Edexcel May 2015 Question 4

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Core 12 Mathematics Edexcel May 2015 Question 5

The equation

(p -1)x^{2} + 4x + (p - 5) = 0 where p is a constant

has no real roots.

(a) Show that p satisfies p^{2} - 6p + 1 > 0

(b) Hence find the set of possible values of p.

Step by Step Solutions for Question 5

Core 12 Mathematics Edexcel May 2015 Question 6

Step by Step Solutions for Question 6

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

Step by Step Solutions for Question 7

Core 12 Mathematics Edexcel May 2015 Question 8

(a) Factorise completely 9x - 4x^{3}

(b) Sketch the curve C with equation

y = 9x - 4x^{3}

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.

Step by Step Solutions for Question 8

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.

Step by Step Solutions for Question 9

Core 12 Mathematics Edexcel May 2015 Question 10

Step by Step Solutions for Question 10

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