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

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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

Step by Step Solutions for Question 4

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

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

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

Edexcel Core Mathematics C1 May 2015 Past Paper

Step by Step Solutions for Question 1

Core 12 Mathematics Edexcel May 2015 Question 2

Solve the simultaneous equations

y - 2x - 4 = 0

4x

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

The equation

(p -1)x

has no real roots.

(a) Show that p satisfies p

(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

(a) express 4

(b) Hence, or otherwise, solve

8(4

Step by Step Solutions for Question 7

Core 12 Mathematics Edexcel May 2015 Question 8

(a) Factorise completely 9x - 4x

(b) Sketch the curve C with equation

y = 9x - 4x

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

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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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

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