I will be doing a British ALevel further maths paper on the spot for the first time! This paper contains mainly algebra and calculus. Topics include complex numbers, hyperbolic equations, exponential equations, trigonometric identities and equations, firstorder linear differential equations, determinant and the inverse of a 3x3 matrix, and more! Was I able to solve all the questions within 90 minutes? Was I able to get all the questions correct? Watch to find out.

The afterward    • Mumbling  

Try the paper first: https://qualifications.pearson.com/co...


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Timestamps:
0:00 ALevel further math paper from June 2022
0:58 Q1 Solving a cubic equation with complex roots
6:23 Q2 Solving a 4th degree hyperbolic equation
15:55 Q3 Solving a firstorder linear differential equation with integrating factor
21:28 Q4 Solving a series problem with natural log
28:55 Q5 Finding the determinant and the inverse of a 3x3 matrix
Correction to Q5:    • How to solve this ALevel matrix prob...  
40:50 Q6 Partial fraction decomposition & integral of a rational function
50:05 Q7 A complex number problem
1:00:11 Q8 A long trig identity
1:23:39 Q9 An improper integral with hyperbolic cosine