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TMUA inequalities and reasoning questions

All 12 inequalities and reasoning questions from the TMUA past papers, 2016 to 2023, newest first, each with a worked solution.

Practise inequalities now, timed All past papers

2023

P2 Q10 · Here is an attempt to solve the inequality x⁴ - 2x² - 3 x⁴ - 2x² - 3 I     if…

2022

P2 Q14 · Consider the two inequalities: |x + 5| < |x + 11| |x + 11| < |x + 1| Which one of the following is…
P2 Q16 · In this question, a₁, …, a₁₀₀ and b₁, …, b₁₀₀ and c₁, …, c₁₀₀ are three sequences of integers such…

2021

P2 Q13 · A region R in the (x,y)-plane is defined by the simultaneous inequalities y - x every point in R?…

2020

P2 Q10 · The real numbers a, b, c and d satisfy both 0 must be true? I    a II   b…

2019

2018

P2 Q19 · Three real numbers x, y and z satisfy x > y > z > 1. Which one of the following statements must be…

2017

2016