Kagawa Entrance Science study plan

Diagnose current ability in Mathematics I–III and A–B by completing a timed 60-minute mixed set and recording accuracy per subtopic (limits, differentiation, integration, vectors, sequences, probability, complex plane).

Rebuild differentiation and integration fundamentals: differentiate composite, trigonometric, exponential and logarithmic functions, and compute indefinite and definite integrals including substitution and by-parts.

Set up a formula and error notebook with one page per subtopic listing the identities you actually misapply.

Schedule five 60-minute weekday blocks and one 120-minute weekend block in a calendar with fixed start times.

Solve sequences and series problems: arithmetic and geometric progressions, recurrence relations, and summation formulas including telescoping sums.

Work through vectors in the plane and space: dot and cross products, equations of lines and planes, and angle and distance calculations.

Practise probability and counting: permutations, combinations, conditional probability, and expected value in short-answer format.

Review complex numbers and the complex plane, including polar form and de Moivre's theorem applications.

Complete full-length timed mathematics papers under exam conditions and mark them against worked solutions.

Classify every error as conceptual, computational or time-management and tally the categories.

Re-drill the two weakest subtopics identified in the error tally until accuracy exceeds 80 percent on a fresh set.

Summarise the standard solution patterns for curve sketching, area and volume integrals, and max-min problems on a single reference sheet.

Cover mechanics: kinematics equations, Newton's laws, work-energy and momentum conservation, solving at least twenty calculation problems.

Cover waves, electricity and magnetism essentials: wave equation, Ohm's law, series and parallel circuits, magnetic force on a current-carrying wire.

Build a chemistry equation bank: balance redox and acid-base equations and calculate moles, concentrations and stoichiometric yields.

Memorise the periodic trends and common ion charges you will need for fast recall, and self-test them twice.

Apply gas laws, thermochemistry and equilibrium concepts to numerical problems, including Le Chatelier predictions.

Describe organic functional groups and simple reaction pathways (substitution, addition, esterification) accurately in writing.

Explain physics phenomena in words as well as equations, practising short written explanations of two to four sentences.

Review mistakes from week 4 and re-solve every problem previously answered incorrectly.

Outline core biology topics: cell structure and function, genetics and inheritance ratios, homeostasis, and ecosystems, producing labelled diagrams from memory.

Summarise earth science essentials: plate tectonics, rock types and the rock cycle, geologic time scale order, and basic atmospheric and oceanic circulation.

Practise data interpretation: read tables and graphs, identify trends, calculate simple rates and percentages, and state conclusions with units.

Interpret at least three described experimental scenarios and identify the independent variable, control and source of error.

Read two exam-length English passages under time pressure and answer comprehension and vocabulary-in-context questions.

Drill English grammar points that appear in entrance exams: tense agreement, relative clauses, subjunctive, comparatives and inversion.

Write two short English compositions of 120 to 150 words with a clear topic sentence, supporting detail and conclusion, then self-edit for agreement and article errors.

Review Japanese language fundamentals: kanji reading and writing, honorific usage and sentence reordering items.

Run two full mock exams across all domains under strict timing, then mark and score each by domain weight.

Revisit the week 1 diagnostic table and confirm that every previously weak mathematics subtopic now scores above 70 percent.

Consolidate the error notebook into a final one-page revision sheet covering formulas, frequent traps and time-allocation rules.

Simulate exam-day logistics once: confirm permitted tools, timing per section and a section-order strategy.