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Pearson Edexcel Further Maths Core Pure 15/5/2023 Topics

Here are all the topics that were covered in the paper, please let me know if I’m forgetting anything.
Reply 1
1. Matrix question, finding {x,y,z} for = kI
2. Volumes of revolution, integrating 2-y to get 5700kg, curve not likely to be accurate, a good model since it's close
3. Series question, n/3(4n^2-1), some large number for sum of squares from 101-999
4. Matrix multiplication question, C = BA not AB, multiply to get C
5. Vectors: Prove perpendicular, find the position of B which is on l2 (which intersects plane)
6. Roots of polynomials: let w = 3x-1, quartic equation has roots alpha, 2alpha, alpha-beta
Reply 2
7. Linear transformation: Represents 30deg anticlockwise about x axis, prove that the matrix is non singular for all values of k
8. Argand Diagram: Sketch the locus from mod (z + smth + smth) = mod (z +smth + smth), find the complex number that satisfies arg (z+a+bi) =1/6pi, arg (z+c+di)=1/3pi (the answer had root 3s in it

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