# Edexcel Core Mathematics C1 May 2014

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Questions and Worked Solutions for C1 Edexcel Core Mathematics May 2014, Part 2.

Edexcel Core Mathematics C1 May 2014 Past Paper

Core 1 Mathematics Edexcel May 2014 Question 6
(a) Write √80 in the form c√5, where c is a positive constant.
A rectangle R has a length of (1 + √5) cm and an area of √80 cm2.
(b) Calculate the width of R in cm. Express your answer in the form p + q√5, where p and q are integers to be found.
Core 1 Mathematics Edexcel May 2014 Question 7a
Differentiate with respect to x, giving each answer in its simplest form.
(a) (1 – 2x)2
(b) (x5 + 6√x)/2x2
Core 1 Mathematics Edexcel May 2014 Question 7b Core 1 Mathematics Edexcel May 2014 Question 8a
In the year 2000 a shop sold 150 computers. Each year the shop sold 10 more computers than the year before, so that the shop sold 160 computers in 2001, 170 computers in 2002, and so on forming an arithmetic sequence.
(a) Show that the shop sold 220 computers in 2007.
(b) Calculate the total number of computers the shop sold from 2000 to 2013 inclusive.
In the year 2000, the selling price of each computer was £900. The selling price fell by £20 each year, so that in 2001 the selling price was £880, in 2002 the selling price was £860, and so on forming an arithmetic sequence.
(c) In a particular year, the selling price of each computer in £s was equal to three times the number of computers the shop sold in that year. By forming and solving an equation, find the year in which this occurred.
Core 1 Mathematics Edexcel May 2014 Question 8b
Core 1 Mathematics Edexcel May 2014 Question 8c

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