Gunma Entrance Science study plan

Gunma Entrance Science · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Physics: motion and forces

Describe, in your own words, the difference between distance and displacement and between speed and velocity, using one worked example of each.
Draw and label free-body diagrams for five everyday situations (a box on a slope, a hanging lamp, a book on a table, a cyclist braking, a ball in free fall).
Solve at least ten problems combining Newton's second law with kinematics equations for uniform acceleration, showing each step of the algebra.
Explain how friction, normal force, and air resistance change the motion of a falling or sliding object, and identify which force dominates in each case.

A one-page formula sheet plus a set of 10 fully worked motion-and-forces problems with free-body diagrams, self-graded against the answer key.

Week 2

Apply the work-energy theorem to calculate work done, kinetic energy change, and power for at least eight mixed scenarios.
Distinguish clearly between kinetic energy, gravitational potential energy, and elastic potential energy, and state the conservation law that links them.
Compute mechanical efficiency for a lever or pulley system and explain where the 'lost' energy goes.
Interpret a distance-time and a speed-time graph, extracting acceleration and total distance travelled from the area under the curve.

A labelled energy-bar chart (before/after) for 6 mechanical systems, plus a written explanation of energy losses in each.

Week 3

State Ohm's law and use it to solve for current, voltage, and resistance in series and parallel circuits with at least three resistors.
Calculate equivalent resistance and total current for two combined series-parallel circuits, showing each reduction step.
Compute electrical power and energy consumption (in joules and kilowatt-hours) for household appliances, and explain the role of a fuse or breaker.
Explain the difference between static electricity and current electricity, and describe how charge flows in a closed circuit.

Hand-drawn circuit diagrams for 5 problems with full calculations of equivalent resistance, current through each branch, and power dissipated.

Week 4

Classify 20 given substances as pure elements, compounds, or mixtures, and justify each classification with a defining property.
Distinguish physical from chemical changes in 15 described scenarios and state the evidence used (gas, precipitate, colour, heat).
Write and balance at least 12 chemical equations, including combustion, neutralisation, and simple decomposition reactions.
Explain the difference between an atom, an ion, and a molecule, and predict the charge of common ions from their group in the periodic table.

A classification-and-balancing worksheet of 20 items (10 substance classifications, 10 balanced equations) completed and corrected.

Week 5

Predict products and write balanced ionic equations for precipitation reactions between given salt solutions.
Explain electrolysis of a simple molten or aqueous compound in terms of ion migration to each electrode.
Describe how acids and bases behave in terms of hydrogen and hydroxide ions, and use pH to rank 10 solutions.
Explain oxidation and reduction in terms of electron transfer and identify the oxidised and reduced species in 8 reactions.

A reaction-prediction table covering 10 ion combinations with balanced equations, plus a short written explanation of one electrolysis cell.

Week 6

Construct a food web from a given list of organisms and trace the effect of removing one species on the rest of the web.
Explain the roles of producers, consumers, decomposers, and the cycling of carbon and nitrogen through an ecosystem.
Label a diagram of a plant and animal cell and state the function of each organelle, including the difference between mitosis and meiosis.
Describe the process of sexual reproduction in flowering plants and explain how traits are inherited using a Punnett square for a monohybrid cross.

A drawn food web with a written prediction of a removal scenario, plus three completed Punnett squares with phenotype ratios stated.

Week 7

Interpret a geological cross-section to order rock layers and events (deposition, folding, faulting, intrusion) from oldest to youngest.
Explain the rock cycle and classify 10 rock samples or descriptions as igneous, sedimentary, or metamorphic with a reason.
Describe the causes of earthquakes and volcanoes at plate boundaries and relate them to the three plate-margin types.
Read a weather map and a simple climate graph to describe temperature, pressure, and precipitation patterns.

A labelled geological cross-section with a written relative-age history, plus a weather-map interpretation paragraph of 150 words.

Week 8

Design a controlled experiment for a given question, identifying the independent, dependent, and controlled variables.
Interpret a data table and a graph to identify trends, anomalies, and sources of error, and state a valid conclusion.
Complete two full timed practice papers under exam conditions and score them against the answer key.
Review every missed question and write a corrected explanation for each error.

Two completed timed practice papers with a written error log listing every mistake and the corrected reasoning for each.

Week 2: Solve 8 out of 10 mixed motion and energy problems correctly without notes, including one graph-interpretation item.

Week 4: Balance 10 out of 12 equations correctly and classify 18 out of 20 substances accurately.

Week 6: Explain one food web removal scenario and complete a monohybrid Punnett cross with the correct phenotype ratio, unaided.

Week 8: Score at least 70% on each timed practice paper and show a completed error log with corrected reasoning for every missed item.