Extra Resources
The main resources for exam preparation can be found under each exam heading above (TMUA, MAT and STEP), but here are some extra worksheets I have developed which don’t really fit under a specific TMUA topic but will be useful for practising and improving general mathematical skills.
Combinatorics:
including combinations and permutations; the choose function; distinct / indistinguishable objects; distribution into bins; distributing part of a set; stars and bars method; repetition and restrictions.
Number theory:
including divisibility rules, remainders, prime factors, equations with integer solutions.
In addition I recommend the following resources for additional practice:
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Madas Maths - for topic based worksheets with fantastic step-by-step worked solutions. (Particularly useful ones can be found under Standard Topics, including Polynomials, Functions, Curve Sketching, Binomial Expansion, Exponentials and Logarithms, Transformation of Graphs, Modulus Function and many more).
UKMT - for general problem solving practice.
Try the Senior Maths Challenge, or for longer questions (like the final 2 questions on the MAT) try the Olympiad papers. I suggest starting with the Cayley Olympiad papers and working up from there.
R2Drew2 - YouTube videos on a variety of maths topics plus past papers including TMUA, MAT, STEP, A Levels, UKMT Challenges and much more. ​​​