# Edexcel Core Mathematics C1 June 2011

Questions and Worked Solutions for C1 Edexcel Core Mathematics June 2011.

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Core 1 Mathematics Edexcel June 2011 Question 1
Indices

1. Find the value of
(a) 251/2
(b) 25-3/2

Core 1 Mathematics Edexcel June 2011 Question 2
Differentiation, Integration 2. Given that
y = 2x5 + 7 + 1/x3, x ≠ 0, find, in their simplest form,
(a) dy/dx
(b) ∫ y dx.

Core 1 Mathematics Edexcel June 2011 Question 3
Coordinate Geometry 3. The points P and Q have coordinates (–1, 6) and (9, 0) respectively.
The line l is perpendicular to PQ and passes through the mid-point of PQ.
Find an equation for l, giving your answer in the form ax + by + c = 0, where a, b and c
are integers.

Core 1 Mathematics Edexcel June 2011 Question 4 4. Solve the simultaneous equations
x + y = 2
4y2 - x2 = 11

Core 1 Mathematics Edexcel June 2011 Question 5
Sequences 5. A sequence a1, a2, a3, … is defined by
a1 = k
an+1 = 5an + 3, n ≥ 1
where k is a positive integer.
(a) Write down an expression for a2 in terms of k.
(b) Show that a3 = 25k + 18
(c) (i) Find in terms of k, in its simplest form.
(ii) Show that is divisible by 6.

1. (c)

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