TMUA True and False Logic
TMUA likes to give various scenarios or statements, which after closer inspection logically can only have a certain number of truths. Practice makes perfect (that's a TRUE statement). Closely connected are the contrapositive and converse (and to a lesser extent the inverse) - especially in questions where exactly one of a choice of statements must be true. Also closely connected are If, Only If and If and Only if questions. We also include in this section questions on false positives and false negatives, which don't appear very often - but could! We also include true/false questions which involve reasoning but aren't specifically logic questions.
For those so interested, we offer both one to one TMUA coaching on true and false logic, as well as online group coaching via Zoom - 'TMUA True/False; If/Only If/Iff; and Contrapositive' is Session #19 of 20' . Check our TMUA Group Coaching Schedule page for dates when these sessions are available - details of what we cover in each group session can be found on our TMUA Coaching Sessions Overview page. For more general information on our online sessions check out our 'Online Coaching FAQ'.
Feel free to contact us if you require more information regarding any of the above.
Free Revision Resources
The below list of questions links to short videos (teasers) on our YouTube channel which directly or indirectly test elements of what is required to succeed in answering TMUA questions on true and false logic - they also provide a detailed solution to the question posed, together with tips and tricks and are arranged roughly in increasing order of difficulty. All the videos are taken from the Gresty Academy YouTube podcast 'A Crash Course in TMUA Must Know Maths' which contains hundreds of TMUA style questions and is great for revision.
- Teaser #82 - tests understanding of probability that a result is a false positive - Standard
- Teaser #62 - tests calculating probability of false positive at a Taylor Swift concert - Standard
- Teaser #239 - tests whether a Boolean logic expression is always true/false - Medium
- Teaser #469 - tests understanding of different forms of expressing logical equivalency - Medium
- Teaser #470 - tests sufficiency of various inequality and modulus statements, often using counterexamples to disprove - Medium
- Teaser #457 - tests equivalence of various logic statements - Medium
- Teaser #499 - tests how to establish which of six statements is true, given that exactly one is - Quite Tough
- Teaser #485 - tests understanding of converse, inverse and contrapositive - Quite Tough
TMUA Past Questions on True and False Logic: SP p2 q8; SP p2 q9; SP p2 q15; SP p2 q20; 2016 p2 q4; 2016 p2 q8; 2016 p2 q11; 2016 p2 q12; 2016 p2 q13; 2016 p2 q15; 2016 p2 q17; 2017 p2 q4; 2017 p2 q7; 2017 p2 q13; 2018 p2 q8; 2018 p2 q11; 2018 p2 q16; 2018 p2 q17; 2018 p2 q19; 2019 p2 q3; 2019 p2 q8; 2019 p2 q11; 2019 p2 q17; 2020 p2 q10; 2020 p2 q12; 2020 p2 q20; 2021 p2 q11; 2021 p2 q12; 2021 p2 q13; 2022 p2 q3; 2022 p2 q5; 2022 p2 q9; ; 2022 p2 q10; 2022 p2 q13; 2022 p2 q16; ; 2022 p2 q17; 2023 p2 q8; 2023 p2 q9; 2023 p2 q11; ; 2023 p2 q12; 2023 p2 q18; 2023 p2 q19; 2023 p2 q20
Practice makes perfect - good luck in your studies!