Kumamoto Entrance Science study materials
Kumamoto Entrance Science study resources

Kumamoto Entrance Science case studies

Kumamoto Entrance Science · Put your knowledge to work in context.

The Kumamoto University General Entrance Examination (Science) is the subject-based written examination used in the general admission route to science-related faculties at Kumamoto University, including Science, Engineering, Medicine, Pharmaceutical Sciences, Agriculture, and Education. It is intended for upper-secondary graduates and applicants completing the equivalent of the Japanese high-school curriculum who are applying through the general selection track rather than a special or recommendation route. The Kumamoto Entrance Science case studies are 5 cases and about 2,665 words.

1

Maximizing a Shop Sign with a Semicircular Top

A shop in Kumamoto wants a new sign whose outline is a rectangle with a semicircle sitting on top; the semicircle’s diameter is exactly the rectangle’s top edge. The outer edge-the two vertical sides, the bottom edge, and the semicircular arc-will be made from a single 6.00 m length of aluminium trim.

448 words, about 2 min
2

Block on an Incline Compressing a Spring with Friction

A 2.0 kg block is released from rest at the top of a straight incline that makes 30° with the horizontal. The block slides 3.0 m along the slope before reaching a smooth, short transition to a horizontal section.

558 words, about 3 min
3

Acetic Acid Titration: Half-Equivalence and Indicator Choice

A 25.0 mL sample of 0.100 mol/L acetic acid (CH3COOH, Ka = 1.8 × 10^-5 at 25 °C) is titrated with 0.100 mol/L NaOH from a burette. The student records pH after each addition and wants to stop at the equivalence point, but the burette readings are only reliable to ±0.05 mL.

525 words, about 3 min
4

Chi-Square Test of Independent Assortment in Drosophila

In a laboratory exercise, students cross two fruit flies that are heterozygous for two independently assorting genes: body colour (wild-type dominant to black) and wing shape (wild-type dominant to vestigial). Both parents have the wild-type phenotype.

572 words, about 3 min
5

Locating an Earthquake from S–P Times at Three Stations

Three seismic stations in Kyushu-A, B, and C-record the same shallow earthquake. The crustal P-wave speed is taken as 6.0 km/s and the S-wave speed as 3.5 km/s, both constant along the paths.

562 words, about 3 min