Questions and Worked Solutions for C1 Edexcel Core Mathematics 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

∫(8x

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 x

(x + p)

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 = x

showing clearly any intersections with the coordinate axes.

(c) Find the value of the discriminant of x

Core 1 Mathematics Edexcel June 2010 Question 5

5. A sequence of positive numbers is defined by

a

(a) Find a

(b) Show that a

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