TARA vs ESAT vs TMUA

Your course page decides the test. TARA tests reasoning and writing. ESAT tests fast maths and science. TMUA tests mathematical reasoning.

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The formats

FeatureTARAESATTMUA
TestsReasoning and written argumentSchool maths and scienceMathematical reasoning and logic
StructureCT 2222 in 4040, PS 2222 in 4040, Writing 40402727 questions in 4040 minutes per moduleTwo papers of 2020 in 7575 minutes
ResultSeparate CT and PS scoresOne score per moduleOne overall score
Seconds per question1091098989225225

None allows a calculator.

What a TARA problem looks like

Worked example Rotating volunteers

Stations A, B and C begin with 22, 33 and 44 volunteers. After each round, one person moves A to B, one B to C and one C to A. What must be true after any whole number of rounds?

ΔA=−1+1=0,ΔB=−1+1=0,ΔC=−1+1=0\Delta A=-1+1=0,\quad \Delta B=-1+1=0,\quad \Delta C=-1+1=0
(A,B,C)=(2,3,4)(A,B,C)=(2,3,4)

Why this works: Each station loses one and gains one, so nothing changes.

Why the tempting route fails: Adding the moves as though they create volunteers confuses movement with growth.

The arithmetic is basic. The insight is structural. That is TARA.

If you need two tests

  • TARA and TMUA share clean arithmetic and logic.
  • TARA and ESAT share estimation and fast multiple choice.
  • Give more time to the earlier sitting and the weaker test.
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