Edexcel Core Mathematics C1 June 2010
Core 1 Mathematics Edexcel June 2010 Question 1
1. Write
√(75)–√(27)
in the form k √ x, where k and x are integers.
Core 1 Mathematics Edexcel June 2010 Question 2
2. Find
∫(8x3 + 6x1/2 - 5 )dx
giving each term in its simplest form.
3. Find the set of values of x for which
(a) 3(x– 2) < 8 – 2x
(b) (2x–7)(1+x) < 0
(c) both 3(x– 2) < 8 – 2x and (2x–7)(1+x) < 0
Core 1 Mathematics Edexcel June 2010 Question 4
4. (a) Show that x2 +6x + 11 can be written as
(x + p)2 +q
where p and q are integers to be found.
(b) In the space at the top of page 7, sketch the curve with equation 2
y = x2 +6x + 11
showing clearly any intersections with the coordinate axes.
(c) Find the value of the discriminant of x2 + 6x + 11
Core 1 Mathematics Edexcel June 2010 Question 5
5. A sequence of positive numbers is defined by
an+1 = √(an2 + 3)
(a) Find a2 and a3, leaving your answers in surd form.
(b) Show that a5 = 4
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