Japan · Upper secondary → university entrance (Grade 12)

Common Test for University Admissions Mathematics II·B·C Predicted Question Paper

The Mathematics II·B·C paper in the Common Test for University Admissions is structured for 70 minutes for 100 marks across 2 sections: Compulsory Problems (52 marks) and Elective Problems (48 marks). A predicted paper mirrors this exact shape so practising it feels like sitting the real exam.

Exam intelligence dashboard

= model estimate
  • Blueprint match100%Strong structure match
  • Total marks100marks
  • Duration70 min~11.7 min/question
  • Questions modelled7answer 6
  • Syllabus topics9analysed
  • Est. topic coverage5/9~51% per topic
  • Prediction for2026Admission / entrance test
  • Built withGoogle AIintel-1.0

Figures marked are model estimates derived from the exam’s published blueprint and syllabus — not measured historical frequencies. How this is built.

Paper blueprint

SectionTypeQuestionsMarks
Compulsory ProblemsStructured & extended-response questions3 · 15/15/22 each52
Elective ProblemsStructured & extended-response questionsAnswer 3 of 4 · 16 each48
Total · 70 min100

Question-type distribution

By the blueprint's own weighting, structured & extended-response questions account for 100 of 100 marks (100%).

  • Structured & extended-response questions100 marks · 100%

Frequently assessed Mathematics II·B·C topics

The Common Test for University Admissions Mathematics II·B·C syllabus spans 9 core areas — including Equations, proofs and higher-degree expressions, Coordinate geometry (lines and circles), Exponential and logarithmic functions and Trigonometric functions — and a predicted paper draws questions across them in line with how the real paper is weighted.

  • Equations, proofs and higher-degree expressions
  • Coordinate geometry (lines and circles)
  • Exponential and logarithmic functions
  • Trigonometric functions
  • Differentiation and integration of polynomials
  • Sequences
  • Statistical inference
  • Vectors
  • Complex plane and plane curves

Your AI study plan

Model estimate

A suggested strategy built from the blueprint weighting and syllabus order — adapt it to your own strengths.

Priority chapters

  1. 1.Equations, proofs and higher-degree expressions
  2. 2.Coordinate geometry (lines and circles)
  3. 3.Exponential and logarithmic functions
  4. 4.Trigonometric functions
  5. 5.Differentiation and integration of polynomials
  6. 6.Sequences

Suggested time & order

Plan roughly 25 hours across the syllabus.

Practice in this order

  1. 1.Compulsory Problems — 52 marks
  2. 2.Elective Problems — 48 marks

Last-minute revision checklist

  • Nail the Compulsory Problems section — it is worth the most (52 marks).
  • Re-read your notes on the foundational topics: Equations, proofs and higher-degree expressions, Coordinate geometry (lines and circles), Exponential and logarithmic functions.
  • Practise to ~11.7 min/question so timing feels automatic.
  • Decide in advance which optional questions you will answer to save exam-day time.

Generate a Mathematics II·B·C predicted paper

Full Common Test for University Admissions Mathematics II·B·C paper, matched to the real blueprint — practise online or print.

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Predicted papers by year

How the prediction is made

Each predicted paper is assembled from two real inputs: the exam’s published paper structure — its sections, marks, question types and timing — and the official syllabus topic list. Questions are written slot-by-slot to match that blueprint and to read in the exam’s own style, then checked so every multiple-choice item is well-formed and the marks add up. This is structured, exam-style revision material — not a forecast of the exact questions, and it never uses leaked or copyrighted past papers.

Other Common Test for University Admissions subjects

Frequently asked questions

How is the Common Test for University Admissions Mathematics II·B·C paper structured?
The Mathematics II·B·C paper in the Common Test for University Admissions is structured for 70 minutes for 100 marks across 2 sections: Compulsory Problems (52 marks) and Elective Problems (48 marks). A predicted paper mirrors this exact shape so practising it feels like sitting the real exam.
How many marks is the Mathematics II·B·C paper and how long is it?
The paper is 100 marks, sat over 70 minutes. By the blueprint's own weighting, structured & extended-response questions account for 100 of 100 marks (100%).
What question types appear in Mathematics II·B·C?
You’ll practise structured & extended-response questions, matching the real paper’s mix.
Are these the real exam questions?
MCQForge is an independent study tool. Predicted Common Test for University Admissions papers are original practice material — they are not affiliated with, endorsed by, or sourced from the examining authority, do not reproduce real or leaked questions, and make no guarantee about which questions will appear in any sitting.

MCQForge is an independent study tool. Predicted Common Test for University Admissions papers are original practice material — they are not affiliated with, endorsed by, or sourced from the examining authority, do not reproduce real or leaked questions, and make no guarantee about which questions will appear in any sitting.