Iwate Entrance Science study plan
Iwate Entrance Science · Give each week a clear focus.
8 weeks · About 6 hours per week
Mathematics (algebra, geometry, calculus, sequences)
Solve 40 algebra problems covering quadratics, simultaneous equations, and inequalities, writing each step without skipping algebra
Derive and apply the quadratic formula and discriminant to classify root types across 15 problems
Produce a one-page error log of every algebra mistake made this week with the corrected reasoning
Re-solve all missed problems from memory after a 48-hour delay
Your checkpoint
A 40-problem algebra set fully worked, with a corrected error log
Mathematics (algebra, geometry, calculus, sequences)
Solve 30 geometry problems on triangle congruence, circle theorems, and coordinate geometry
Compute areas, volumes, and angles for 10 composite figures without a formula sheet
Sketch 10 coordinate-plane figures and verify results algebraically
Time yourself on a 20-minute mixed geometry set and record the score
Your checkpoint
A timed 20-minute geometry set scored and annotated with corrections
Mathematics (algebra, geometry, calculus, sequences) & Physics (mechanics, waves, electromagnetism, thermodynamics)
Differentiate and integrate 30 functions including chain, product, and quotient rules
Apply derivatives to 10 max/min and rate-of-change problems
Solve 15 arithmetic and geometric sequence problems, including sums to n terms and limits
Set up and solve 10 free-body-diagram problems using Newton's laws
Your checkpoint
A 30-problem calculus and sequences set plus a 10-problem mechanics set, both fully worked
Physics (mechanics, waves, electromagnetism, thermodynamics)
Solve 20 mechanics problems on projectile motion, momentum, and energy conservation
Compute wave properties: frequency, wavelength, speed, and standing-wave harmonics in 15 problems
Apply Ohm's law and Kirchhoff's rules to 10 DC circuits
Explain the first law of thermodynamics and solve 8 gas-law and heat problems
Your checkpoint
A one-page formula sheet for mechanics, waves, electricity, and thermodynamics with worked examples
Chemistry (structure and bonding, reactions, organic and inorganic)
Draw Lewis structures and predict molecular geometry for 25 molecules using VSEPR
Balance 20 redox and acid-base equations, identifying oxidizing and reducing agents
Classify 30 organic compounds by functional group and predict two reactions for each class
Build a periodic-trend summary table covering atomic radius, electronegativity, and ionization energy
Your checkpoint
A 25-molecule structure-and-geometry worksheet with a functional-group reference table
Biology (cells, genetics, evolution, ecosystems) & Scientific reasoning and data interpretation
Diagram cell structures and describe the stages of mitosis and meiosis from memory
Solve 20 genetics problems using Punnett squares and pedigree analysis
Explain natural selection and speciation with three worked examples
Interpret 10 data tables and graphs, stating the trend, the evidence, and one limitation for each
Your checkpoint
A 20-problem genetics set plus a data-interpretation log of 10 annotated graphs
Scientific reasoning and data interpretation & Experimental design and laboratory skills
Design three controlled experiments, specifying variables, controls, and a sampling plan
Evaluate five flawed experimental scenarios and propose a corrected design for each
Practice lab calculations: dilution, concentration, percentage error, and significant figures
Interpret a full mock data set and write a 150-word conclusion citing the evidence
Your checkpoint
Three complete experiment-design write-ups with variables, controls, and a data-analysis plan
Mathematics (algebra, geometry, calculus, sequences) & Physics (mechanics, waves, electromagnetism, thermodynamics) & Chemistry (structure and bonding, reactions, organic and inorganic) & Biology (cells, genetics, evolution, ecosystems) & Scientific reasoning and data interpretation & Experimental design and laboratory skills
Take two full-length timed mock exams under exam conditions and score them by domain
Re-solve every missed item and group errors by domain to find the weakest two
Drill the two weakest domains with 30 targeted problems each
Write a final one-page summary of formulas and recurring traps for each domain
Your checkpoint
Two scored mock exams with a domain-by-domain error analysis and a final one-page review sheet
Milestones
Week 2: Score at least 70% on a self-made 20-problem algebra and geometry set under timed conditions
Week 4: Score at least 65% on a mixed mathematics and physics set and show the formula sheet is usable without notes
Week 6: Score at least 70% on a chemistry, biology, and data-interpretation set and explain every wrong answer in writing
Week 8: Score at least 75% on both full mock exams with no domain below 60%