Questions and Worked Solutions for C1 Edexcel Core Mathematics June 2012.
Core 1 Mathematics Edexcel June 2012 Question 1
Find ∫(6x2 + 2/x2 + 5) dx giving each term in its simplest form.
Core 1 Mathematics Edexcel June 2012 Question 2
2. (a) Evaluate (32)3/5, giving your answer as an integer. (b) Simplify fully (24x4/4)-1/2
Core 1 Mathematics Edexcel June 2012 Question 3
3. Show 2/(√12 - √8) that can be written in the form √a + √b, where a and b are integers.
Core 1 Mathematics Edexcel June 2012 Question 4
y = 5x3 - 6x4/3 + 2x - 3
(a) Find dy/dx
(b) Find d2y/dx2
Core 1 Mathematics Edexcel June 2012 Question 5
Sequences 5. A sequence of numbers a1, a2, a3 … is defined by
a1 = 3
an +1 = 2an - c (n ≥ 1)
where c is a constant.
(a) Write down an expression, in terms of c, for a2
(b) Show that a3 = 12 – 3c
(c) find the range of values of c.
Core 1 Mathematics Edexcel June 2012 Question 6
6. A boy saves some money over a period of 60 weeks. He saves 10p in week 1, 15p in week 2, 20p in week 3 and so on until week 60. His weekly savings form an arithmetic sequence.
(a) Find how much he saves in week 15
(b) Calculate the total amount he saves over the 60 week period.
The boy’s sister also saves some money each week over a period of m weeks. She saves 10p in week 1, 20p in week 2, 30p in week 3 and so on so that her weekly savings form an arithmetic sequence. She saves a total of £63 in the m weeks.
(c) Show that m(m + 1) = 35 × 36
(d) Hence write down the value of m.
Core 1 Mathematics Edexcel June 2012 Question 7
Tangents and finding f(x)
7. The point P (4, –1) lies on the curve C with equation y = f(x), x > 0, and
f'(x) = 1/2x - 6/√x + 3 (a) Find the equation of the tangent to C at the point P, giving your answer in the form y = mx + c, where m and c are integers.
(b) Find f(x).
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.