ETEA Engineering Test study plan

Rebuild algebraic fluency by solving 60 mixed linear, quadratic, surd and inequality problems by hand with no calculator, logging every error by cause

Derive the quadratic formula from scratch and use discriminant analysis to classify the roots of 20 equations without solving them fully

State and apply the three kinematic equations to 25 one-dimensional motion problems, writing the sign convention explicitly before each calculation

Prove and then apply the sine rule, cosine rule and the standard compound-angle identities across 40 triangle and identity problems

Resolve 30 vector problems into components and compute resultants both graphically and algebraically, checking the two answers against each other

Solve 25 projectile problems while keeping the horizontal and vertical axes strictly separate in the written working

Convert fluently between degrees and radians and memorise the unit-circle values that recur most often in timed papers

Draw free-body diagrams and write net-force equations for 30 systems including inclines, pulleys and friction cases

Apply the work-energy theorem and conservation of momentum to 25 collision, energy and power problems

Map the periodic table by writing electron configurations and predicting 20 element properties from position alone

Classify 30 bonds and compounds as ionic, covalent or metallic and justify each classification using electronegativity differences

Solve 30 problems on circular motion, gravitation and simple harmonic motion, identifying the restoring force in each case

Compute moles, molar mass and empirical formulas for 30 compounds and convert between mass, moles and particle count

Balance 25 chemical equations including redox half-reactions and assign oxidation states correctly

Sit a full-length timed diagnostic covering all four domains and tag every wrong answer by domain and topic

Solve 30 stoichiometry problems including limiting reagent, percent yield and solution-concentration variants

Apply the ideal gas law and its derived forms to 25 gas problems while keeping every unit consistent and stated

Sketch and analyse the graphs of polynomial, exponential and logarithmic functions across 20 problems, marking intercepts and asymptotes

Compute derivatives and definite integrals of standard forms over 30 problems, interpreting each result as a rate or an area

Complete 8 timed reading comprehension passages, marking the exact line evidence that supports each chosen answer

Drill 60 grammar and sentence-correction items covering subject-verb agreement, tense consistency, parallelism and modifier placement

Solve 40 word problems on rates, mixtures and work by translating each into an equation before computing anything

Re-solve 20 previously missed problems cold, without looking at the original solution, and confirm each is now correct

Write 6 timed short responses in 20 minutes each using a fixed three-part structure of claim, evidence and close

Use 80 high-frequency academic words in original sentences rather than copying definitions

Complete 3 timed maths sections of 25 questions in 30 minutes and record seconds spent per question type

Work through 25 probability, statistics and permutation-combination problems, stating whether order matters before starting

Sit two full-length mocks under strict exam conditions in a single sitting with no pauses or notes

Re-solve every physics question missed across weeks 1 to 7 and verify each against the worked reasoning

Take 4 timed English passages and bring average time per question below 60 seconds without dropping accuracy

Distil each domain down to a single one-page recap sheet for last-day review, keeping only what you have got wrong before