Questions and Worked Solutions for C1 Edexcel Core Mathematics June 2013.

Edexcel Core Mathematics C1 June 2013 Past Paper

Surds

1. Simplify (7 + √5)/(√5 - 1)

giving your answer in the form a + b√5 , where a and b are integers.

Integration

2. Find

∫(10x

giving each term in its simplest form.

Indices (Exponents)

3. (a) Find the value of 8

Sequences and Sigma Notation

4. A sequence a

a

a

where k is a constant.

(a) Find an expression for a_{2} in terms of k.

Given that

(b) find the two possible values of k.

Linear and Quadratic Inequalities

5. Find the set of values of x for which

(a) 2(3x + 4) > 1 – x

(b) 3x^{2} + 8x – 3 < 0

Coordinate Geometry

6. The straight line L

(a) Find an equation for L

where a, b and c are integers.

The line L_{2} has equation 3y + 4x – 30 = 0.

(b) Find the coordinates of the point of intersection of L_{1} and L_{2}.

Core 1 Mathematics Edexcel June 2013 Question 7

Arithmetic Progressions

7. A company, which is making 200 mobile phones each week, plans to increase its production. The number of mobile phones produced is to be increased by 20 each week from 200 in week 1 to 220 in week 2, to 240 in week 3 and so on, until it is producing 600 in week N.

(a) Find the value of N.

The company then plans to continue to make 600 mobile phones each week.

(b) Find the total number of mobile phones that will be made in the first 52 weeks starting from and including week 1.

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