# 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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