Core 1 Useful Workings For Challenging Questions with Explanations

Questions from the latest C1 paper (Edexcel) with answers, working and explanations

HideShow resource information
  • Created by: George
  • Created on: 16-05-11 06:52
Preview of Core 1 Useful Workings For Challenging Questions with Explanations

First 73 words of the document:

January 2011 Core 1 Paper ­ Question considered as challenging
Manipulation of terms
(a) find the value of 16 1/4
(b) Simplify x(2x 1/4) 4
Solution
= 16 1/4
= 1 / 416 = 1 / 2
= x (2x 1/4) 4
= x (16x 1)
= 16
Integration
(a) (12x 5 ­ 3x 2 + 4x 1/3 ) dx
Solution
(12x 5 ­ 3x 2 + 4x 1/3) dx
= [12 5+1 / (5 + 1)] ­ [3x 2+1 / (2 + 1)] + [4x 1/3+1 / (1/3 + 1)] + [c]
= [(12 6 / 6) ­ (3x 3 / 3) + (4x 4/3 / (4/3) + c]
= [2 6 ­ x 3 + 3x 4/3 + c]
Manipulation of terms (surds)
(a) (5 ­ 23) / (3 ­ 1)
Solution
= (5 ­ 23) (3 + 1) / (3 ­ 1) (3 + 1)
= (33 ­ 1) / 2

Other pages in this set

Page 2

Preview of page 2

Here's a taster:

­ ½
Arithmetic sequences
A sequence a1, a2, a3 . . .…read more

Page 3

Preview of page 3

Here's a taster:

Arithmetic sequences
An arithmetic sequence had first term a and common difference d. The sum of the first 10
terms of this sequence is 162.…read more

Page 4

Preview of page 4

Here's a taster:

Integration
The curve with equation f(x) passes through the point (1, 0)
Given that, f'(x) = 12x 2 ­ 8x + 1
(a) Find f(x)
Solution
= f'(x) = 12x 2 ­ 8x + 1
= [12x 2+1 / (2 + 1)] ­ [8x 1+1 / (1 + 1)] + [1x 0+1 / (0 + 1)] + [c]
= [12x 3 / 3] ­ [8x 2 / 2] + [1x 1 / 1] + c
= y = [4x 3 ­ 4x 2 + x…read more

Page 5

Preview of page 5

Here's a taster:

­ 3 = 0
= (k + 3) (k ­ 1) = 0
= k = 3 and 1
= f(x) > 0
=k < 3 and k > 1
Coordinate geometry
The line L1 has equation 2y ­ 3x k = 0, where k is a constant
Given that the point A (1, 4) lies on L1, find
(a) The value of k
(b) The gradient of L1
The line L2 passes through A and is perpendicular to L1
(c) Find the equation of…read more

Page 6

Preview of page 6

Here's a taster:

­ 14 = 0
= B (7, 0)
= [(7 ­ 1) 2 + (0 ­ 4) 2]
= 52
Differentiation
The curve C has equation, y = x 3 / 2 9x 3/2 + 8x 1 + 30, where x is greater than 0
(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…read more

Page 7

Preview of page 7

Here's a taster:

­ 64 / 7
= 7y = 2x ­ 64
= 2x ­ 7y ­ 64 = 0…read more

Comments

No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »See all resources »