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TMUA number and divisibility questions

All 8 number and divisibility questions from the TMUA past papers, 2016 to 2023, newest first, each with a worked solution.

Practise number now, timed All past papers

2023

P2 Q15 · The base 10 number 0.03841 has the value 0× 10⁻¹ + 3× 10⁻² + 8× 10⁻³ + 4× 10⁻⁴ + 1× 10⁻⁵ = 0.03841…
P2 Q16 · A sequence is defined by u₁ = a u₂ = b u_n+2 = u_n + u_n+1 for n ≥ 1 where a and b are positive… hard

2021

P2 Q4 · Consider the following claim about positive integers a, b and c: if a is a factor of bc, then a is…

2020

P2 Q17 · A set of six distinct integers is split into two sets of three. The first set of three integers…

2019

2018