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Mathematics / Physics

Connect linear algebra, analysis, differential equations, and probability with derivations, proofs, physical modeling, and calculation. We study past-paper topics and formats across Japanese graduate schools, then independently write and substantially rework foundation, standard, and stretch practice with level-appropriate extensions. Copyright in original questions belongs to Ryugaku Jinja.

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日·EN·中
← Exam Dojo

PRACTICE DOJO

Mathematics / Physics

Connect linear algebra, analysis, differential equations, and probability with derivations, proofs, physical modeling, and calculation. We study past-paper topics and formats across Japanese graduate schools, then independently write and substantially rework foundation, standard, and stretch practice with level-appropriate extensions. Copyright in original questions belongs to Ryugaku Jinja.

Question bank
8,234
Exam format
Mathematics and physics
Scoring / pass mark
No pass mark, set per school
Scope basis
Original in-site study scope

EXAM OVERVIEW

Know the exam before you train

Review the question bank and training sections, then start training.

Training sections
5
Display modes
Japanese + Chinese · Japanese only · Japanese + English
Unlabeled range11Unlabeled range9Unlabeled range15Unlabeled range3Mathematics and physics foundations8196

What the bank covers

Knowledge areas

  • Physics3,613 questions
  • Real analysis821 questions
  • Linear algebra780 questions
  • Related chemistry480 questions
  • Geometry473 questions
  • Algebra397 questions
  • Earth and planetary sciences370 questions
  • Complex analysis348 questions

Question formats and volume

  • Written response8,121 questions
  • Single choice94 questions
  • Numeric entry15 questions
  • Other4 questions

Question attributes

  • Includes material6,021 questions
  • Includes an image1,855 questions

Material and image counts are question attributes, counted separately from the formats above.

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10 free questions a day, shared across every exam; one free mock per exam each month.

Recommended training path

  1. 01Understand the scopeSections, formats and difficulty spread are all readable without an account.
  2. 02Focused drillsPick one section or knowledge area and drill only that.
  3. 03Review mistakesWrong answers go to your wrongbook and come back when review is due.

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Sample question

Passage
独立な二つの作業系列を観測する。系列Aの各所要時間 XiX_iXi​ は平均 444 秒、標準偏差 333 秒、系列Bの各所要時間 YjY_jYj​ は平均 666 秒、標準偏差 444 秒である。各系列内の観測は独立同分布であり、両系列のすべての観測も互いに独立である。調整量 WWW を次式で定める。正規近似を用いてよい。Φ\PhiΦ を標準正規分布の累積分布関数とし、Φ(1)=0.8413\Phi(1)=0.8413Φ(1)=0.8413 を用いよ。
P(W≥484 秒)\mathbb P(W\ge 484\text{ 秒})P(W≥484 秒) の近似値として、最も近いものを一つ選べ。 W=2∑i=1100Xi−∑j=164YjW=2\sum_{i=1}^{100}X_i-\sum_{j=1}^{64}Y_jW=2i=1∑100​Xi​−j=1∑64​Yj​
  1. o10.06050.06050.0605
  2. o20.12850.12850.1285
  3. o30.15870.15870.1587
  4. o40.22990.22990.2299
  5. o50.84130.84130.8413

The sample shows the stem and choices only; answers and explanations come with practice.