Nagano Entrance Science study plan

Draw and label free-body diagrams for six situations (falling ball, block on a slope, two connected carts, object on a table with a push) and state the direction of the net force each time.

Calculate average speed, instantaneous speed, and acceleration from distance-time and speed-time tables, converting freely between cm/s, m/s, and km/h without unit slips.

Apply F = ma to eight numeric problems involving one or two forces, and use Newton's third law to explain paired forces in a collision or a swimmer pushing off a wall.

Compute work, gravitational potential energy, and kinetic energy, verify conservation of mechanical energy on a frictionless track, then re-solve with friction and account for the energy converted to heat.

Explain the difference between mass and weight, and predict how far a spring or rubber band stretches under doubling loads using proportional reasoning from a data table.

Draw series and parallel circuits with the ammeter and voltmeter placed correctly, then compute equivalent resistance and the current in each branch for two-resistor networks.

Solve eight Ohm's law and power problems, and derive an unknown resistance from the slope of a voltage-current data table.

Sketch magnetic field lines around a bar magnet and a current-carrying coil, state the right-hand rule, and explain how a simple motor keeps turning and how moving a magnet near a coil produces a current.

Use v = f times lambda to solve wave problems, and distinguish pitch from loudness using frequency and amplitude.

Trace reflection and refraction with ray diagrams for a plane mirror and a convex lens, and state where a real image forms for a given object distance.

Classify 20 everyday substances as element, compound, or mixture, and design a separation procedure (filtration, distillation, evaporation, chromatography) for three stated mixtures with a reason for each step.

Calculate density and use it to identify an unknown metal from a table, and convert between mass, volume, and mass-percent concentration.

Write formulas and names for 15 common ionic and covalent compounds and count the atoms in each formula unit.

Balance 10 skeleton equations and label each as combination, decomposition, displacement, precipitation, or neutralization.

Interpret a heating curve to mark melting and boiling points, and decide from given evidence whether a change is physical or chemical.

Write ionic equations for neutralization and precipitation reactions, identify the spectator ions, and predict precipitates using a solubility table.

Explain electrolysis of copper chloride solution in terms of which ions move to which electrode and what is deposited or released there.

Use mole ratios from a balanced equation to calculate the mass of product formed from a given mass of reactant, including one limiting-reactant case.

Calculate the volume of acid of known concentration needed to neutralize a given volume of base, and describe the indicator colour change.

Predict and explain observations when zinc is placed in copper sulfate solution, including the ionic equation and the temperature change.

Label plant and animal cell diagrams and contrast the functions of six cell parts, explaining how the shape of a root hair cell or a red blood cell suits its job.

Trace the path of blood through the four heart chambers, lungs, and body, naming the valves and contrasting artery, vein, and capillary structure.

Describe the digestion of starch, protein, and fat by naming the enzyme, the organ that releases it, the product, and the best temperature and pH.

Explain gas exchange across the alveoli and the kidney's filtration and reabsorption, and link both to keeping body temperature and blood glucose steady.

Distinguish mitosis from meiosis in purpose, number of divisions, and chromosome number in the daughter cells.

Solve eight monohybrid crosses with Punnett squares, including one test cross, and state both genotype and phenotype ratios for each.

Distinguish dominant, recessive, and sex-linked inheritance, and explain why a recessive trait can skip a generation.

Compare sexual and asexual reproduction with real examples, and sequence pollination, fertilization, and seed formation in a flowering plant.

Build a food web with at least eight organisms, mark producers, consumers, and decomposers, and calculate the energy passed to each trophic level using the 10% rule.

Predict how removing one species changes population sizes in a food web, and explain competition, predation, and decomposition in that prediction.

Correlate rock layers between two separated columns using key beds and index fossils, and order folding, faulting, and intrusion events in a cross-section from oldest to youngest.

Explain how a fossil forms and what a marine fossil found in a mountain tells you about the past environment and Earth movement.

Read a weather map to identify high and low pressure, fronts, and wind direction, and write a two-day forecast based on an approaching front.

Use Earth's axial tilt and orbital position to explain the seasons, and predict day length and shadow direction at Nagano's latitude on both solstices.

Distinguish rotation from revolution and use them to explain day and night, the apparent motion of stars, moon phases, and why eclipses do not happen every month.

Complete two full-length timed papers (50 minutes each) under exam conditions with no notes and no pauses.

Redo every item in the week 2, 4, and 6 error logs and confirm each is now fully correct without looking at the answer.

Rebuild one A4 sheet per domain from a blank page from memory, then check it against your notes and mark every omission.

Drill the two weakest sub-topics flagged by the timed papers with 20 targeted questions, mixing calculation and explanation formats.

Practise reading long Japanese-style question stems and underline the condition and the question word before starting each item.