Edexcel Core Maths C1 January 2011
More Lessons for A Level Maths
More videos, activities and worksheets that are suitable for A Level Maths
Questions and Worked Solutions for C1 Edexcel Core Mathematics January 2011.
Past Paper (pdf)
Core 1 Mathematics Edexcel January 2011 Question 6 - Arithmetic Sequence
6. An arithmetic sequence has first term a and common difference d. The sum of the first 10
terms of the sequence is 162.
(a) Show that 10a + 45d = 162
Given also that the sixth term of the sequence is 17,
(b) write down a second equation in a and d,
(c) find the value of a and the value of d.
Core 1 Mathematics Edexcel January 2011 Question 7 - Equation of a curve given f'(x)
7. The curve with equation y = f(x) passes through the point (-1,0).
f'(x) = 12x2
- 8x + 1
Core 1 Mathematics Edexcel January 2011 Question 8 - Roots of a Quadratic
8. The equation x2
+ (k - 3)x + (3 - 2k) = 0, where k is a constant, has two distinct real
(a) Show that k satisfies
+ 2k - 3 > 0
(b) Find the set of possible values of k.
Core 1 Mathematics Edexcel January 2011 Question 9 - Coordinate geometry (straight lines)
9. The line L1
has equation 2y -3x - k = 0 where k is a constant.
Given that the point A (1, 4) lies on L1
(a) the value of k,
(b) the gradient of L1
The line L2
passes through A and is perpendicular to L1
(c) Find an equation of L2
giving your answer in the form ax + by + c = 0, where a, b and
c are integers.
The line L2
crosses the x-axis at the point B.
(d) Find the coordinates of B.
(e) Find the exact length of AB.
Core 1 Mathematics Edexcel January 2011 Question 10 - Curve sketching
10. (a) On the axes below, sketch the graphs of
(i) y = x(x + 2)(3 - x)
(ii) y = -2/x
showing clearly the coordinates of all the points where the curves cross the coordinate
(b) Using your sketch state, giving a reason, the number of real solutions to the equation
x(x + 2)(3 - x) + 2/x = 0
Core 1 Mathematics Edexcel January 2011 Question 11: Differentiation - normals
11. The curve C has equation
y = 1/2 x3
- 9 x2/3
+ 8/x + 30
(a) Find dy/dx
(b) Show that the point P(4, 8) − lies on C.
(c) Find an equation of the normal to C at the point P, giving your answer in the form
ax + by + c = 0, where a, b and c are integers.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.