University of Tokyo science mathematics 2020: problems and solutions
Complete solutions for cyclic inequalities, triangle-area regions, a rotating parametric region, subset-product sums, cone sweeps, and ellipse normals.
University of Tokyo science mathematics 2015: problems and solutions
Complete English explanations of six problems on swept regions, random strings, tangent curves, Fibonacci recurrences, binomial parity, and concentrating integrals.
University of Tokyo science mathematics 2016: problems and solutions
Six complete worked solutions covering exponential bounds, a tournament, projected areas, acute complex triangles, square-root digits, and a swept solid.
University of Tokyo science mathematics 2019: problems and solutions
Complete solutions for an integral, constrained square geometry, an octahedron section, a nonsquare product, implicit-root limits, and a quartic-root locus.
University of Tokyo science mathematics 2017: problems and solutions
Six English solutions on trigonometric optimization, lattice walks, complex reciprocals, conjugate powers, common tangents, and a rotating equilateral triangle.
Three connected topics for University of Tokyo mathematics practice
Worked problems on probability recurrences, complex-plane geometry, and solid cross-sections illustrate three themes in a historical Tokyo exam-preparation guide.
University of Tokyo science mathematics 2018: problems and solutions
Six complete solutions on trigonometric calculus, binomial ratios, swept areas, cubic root placement, a complex parabola, and unions of rounded tubes.