Mie Entrance Science study plan

Rebuild algebra fluency by solving 40 linear, quadratic, and simultaneous-equation problems without a calculator, logging every error by cause

Derive and apply the three kinematic equations to 15 motion problems, stating the sign convention before each solution

Set up a formula sheet for mathematics and physics containing only units, definitions, and conditions of validity

Solve 10 rearrangement problems where a physics formula is transposed for an unfamiliar variable

Sketch and interpret graphs of linear, quadratic, exponential, and trigonometric functions, identifying intercepts, asymptotes, and turning points

Solve 20 trigonometric problems using sine and cosine rules plus radian-degree conversion, showing every intermediate step

Compute 15 problems on sequences and series, distinguishing arithmetic from geometric and stating the convergence condition

Explain aloud, in under two minutes each, why three common algebra mistakes occur and how to avoid them

Differentiate and integrate standard functions across 30 problems, including chain, product, and quotient rules

Apply Newton's second law and conservation of momentum to 15 mechanics problems involving friction and inclined planes

Convert between SI prefixes and derived units in 20 exercises, showing dimensional analysis for each

Interpret velocity-time and force-extension graphs to extract gradients and areas with correct units

Solve 20 problems on electrical circuits using Ohm's law, series-parallel resistance, and power dissipation

Balance 25 chemical equations, including redox half-reactions in acidic and basic conditions

Calculate moles, molar mass, and concentration across 20 stoichiometry problems with limiting reagents

Describe the difference between ionic, covalent, and metallic bonding with one worked example each

Apply the ideal gas law and the first law of thermodynamics to 15 problems, stating assumptions explicitly

Predict reaction outcomes for 20 acid-base and precipitation cases using solubility and pH reasoning

Draw and interpret energy profile diagrams for exothermic and endothermic reactions, labelling activation energy

Name and classify 25 organic compounds by functional group and predict one characteristic reaction for each

Explain cell structure and organelle function by matching 20 descriptions to the correct structure without notes

Trace the stages of mitosis and meiosis and state the chromosome count at each stage for a given diploid number

Solve 15 genetics problems involving monohybrid and dihybrid crosses, including sex-linked inheritance

Describe photosynthesis and aerobic respiration as paired equations, naming the site and inputs of each stage

Interpret 10 data sets and graphs from biology contexts, calculating means, rates, and percentage change

Explain homeostasis and the nervous and endocrine control loops using two fully worked examples

Classify organisms and describe ecosystem energy flow, including trophic levels and the carbon cycle

Answer 15 data-response questions in exam format under a strict time limit

Complete three full-length timed mock papers across all four domains and record raw scores

Revisit the error log and re-solve every problem previously marked wrong until each is correct unaided

Condense all reference sheets into a single two-page pre-exam summary covering formulas, units, and definitions

Simulate exam-day conditions once, including timing, no notes, and a review pass before submission