# Core 1 Useful Workings For Challenging Questions with Explanations

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

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- Created by: George
- Created on: 16-05-11 06:52

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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

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