# Edexcel Core Mathematics C1 May 2015

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

Related Topics:
More videos, activities and worksheets that are suitable for A Level Maths

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
4x2 + y2 + 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

Step by Step Solutions for Question 4

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.

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 = 2x,
(a) express 4x in terms of y.
(b) Hence, or otherwise, solve
8(4x) - 9(2x) + 1 = 0

Step by Step Solutions for Question 7

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.

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

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.