Kumamoto Entrance Science study plan

Diagnose current ability in Mathematics I and A by completing one timed 60-minute mixed set and logging every error by cause (concept gap, calculation slip, misread)

Rebuild fluency in quadratic functions and the discriminant by solving 20 problems and writing the vertex-form and sign-condition steps from memory

Drill counting principles, permutations and combinations until you can classify 15 word problems by whether order matters

Set up a single error notebook with three columns: problem type, root cause, corrected method

Solve 15 trigonometric ratio and sine/cosine rule problems, drawing the triangle before each calculation

Apply the tangent-addition and double-angle formulas in 12 identity proofs without consulting notes

Handle 10 data-analysis items on variance, correlation and scatterplot interpretation

Complete 10 integer and polynomial division problems to prepare for Mathematics II

Differentiate and integrate 25 standard functions accurately, including composite, product and quotient forms

Compute definite integrals by substitution in 10 problems and verify each by differentiating the antiderivative

Solve 8 area-between-curves problems and sketch each region before integrating

State the Fundamental Theorem of Calculus in your own words and apply it to 5 velocity-distance problems

Work through 12 sequence problems distinguishing arithmetic, geometric and recurrence-defined sequences

Solve 10 vector problems in the plane, converting between component and geometric form

Set up and solve 8 equations of motion problems (constant acceleration) with unit checks on every answer

Read 5 simple circuit descriptions and compute equivalent resistance and current

Resolve 15 force problems into components and draw a correct free-body diagram for each

Apply conservation of energy and momentum to 12 collision and pendulum problems, stating which quantity is conserved and why

Solve 10 wave problems on frequency, wavelength, superposition and standing waves

Compute 8 electrostatics and DC-circuit quantities using Ohm's law and Kirchhoff's rules

Balance 15 chemical equations, including redox, and assign oxidation numbers correctly

Calculate moles, molarity and limiting reagent for 12 stoichiometry problems

Classify 20 organic compounds by functional group and predict the main product of 8 representative reactions

Interpret 6 titration or solubility problems and identify the relevant equilibrium expression

Trace 8 genetics crosses using Punnett squares and state phenotype ratios explicitly

Explain 6 cell-process items (mitosis, meiosis, respiration, photosynthesis) in two sentences each without notes

Describe 5 homeostasis and ecology relationships, naming the feedback loop or trophic transfer

Answer 10 Earth Science items on plate tectonics, rock types, weather systems and the solar system

Complete 3 timed English reading passages and annotate the sentence that justifies each answer

Review 20 grammar and sentence-composition items, correcting each error and naming the rule

Practice 10 Japanese language items on kanji reading, vocabulary and sentence reordering

Run two full-length timed mock exams under exam conditions and tabulate scores by domain