Cambridge IGCSE · 試験対策

Mathematics - Additional (0606) 試験対策

Master the rigorous demands of Cambridge IGCSE Additional Mathematics (0606) with this definitive examiner-grounded guide. Learn how to navigate the critical divide between the strictly non-calculator Paper 1 and the calculator-supported Paper 2, secure maximum marks in high-yield topics like Calculus and Trigonometry, and eliminate precision-killing errors to guarantee top-tier performance.

読了時間 5 分更新日: 2026年6月21日

試験の概要

試験数
2
満点
160
制限時間
4時間
出題形式
3
試験時間配点問題数配点比率出題形式
Paper 1 Non-Calculator2時間801250%Short Answer (1-3 marks), Medium Structured (4-6 marks), Long Structured (7-9 marks)
Paper 2 Calculator2時間801150%Short Answer (1-3 marks), Medium Structured (4-6 marks), Long Structured (7-9 marks)
評価段階
A*ABCDEFG
電卓の規定

A silent scientific calculator may be used on papers where calculators are permitted (some papers are non-calculator). It must not be graphical or programmable and must hold no stored information.

  • AO1: AO1 Knowledge with understanding (50%)
  • AO2: AO2 Application (50%)

過去問と採点基準にもとづいて作成(2023–2025)。

電卓プログラム

Table mode for roots & turning points

Scientific calculator (e.g. Casio fx-991 series)

目的: Tabulate \(y\) across a range of \(x\) to locate sign changes (roots) and approximate maxima/minima.

使う場面: Solving or sketching a function when you want to find where its graph crosses or turns.

手順
Enter the function in TABLE mode, set the start, end and step, then read where the sign of \(y\) changes or where it peaks.

試験での注意: Allowed on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.

Statistics mode (mean, SD & regression)

Scientific calculator (e.g. Casio fx-991 series)

目的: Read the mean \(\bar{x}\) and standard deviation directly, and the gradient/intercept (and \(r\)) of a linear regression for bivariate data.

使う場面: Any data-handling, statistics, or required-practical analysis question.

手順
Enter the data in STAT mode (1-VAR or A+BX), then recall \(\bar{x}\), \(\sigma\) or the regression coefficients.

試験での注意: Allowed on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.

Carry exact values with Ans & memory

Scientific calculator (e.g. Casio fx-991 series)

目的: Keep full-precision intermediate values to avoid rounding errors.

使う場面: Multi-step calculations where premature rounding loses the final accuracy mark.

手順
Use Ans, STO/RCL or the M+ memory to reuse the unrounded result of each step; round only the final answer.

試験での注意: Allowed on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.

Equation solver — to CHECK your working

Scientific calculator (e.g. Casio fx-991 series)

目的: Use the built-in EQN/SOLVE mode to verify roots of quadratics or simultaneous equations you have already solved by algebra.

使う場面: As a check only, after solving by hand.

手順
Enter the coefficients in EQN mode (or use SOLVE) and confirm they match your worked solution.

試験での注意: Allowed on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.

よくあるミス

  1. 1high影響する配点: 2Circular measure (Additional Mathematics)

    Rounding intermediate steps prematurely to 2 or 3 significant figures, especially in circular measure and multi-step trigonometry questions.

    回避方法: Retain intermediate calculations in exact form (e.g. surds, fractions, terms of pi) or round to at least 4-5 significant figures. Only round your final answer to 3 significant figures (or 1 decimal place for angles in degrees).
  2. 2medium影響する配点: 3Functions (Additional Mathematics)

    Ignoring the word 'Hence' in multi-part questions and using a generic or starting method from scratch.

    回避方法: Use the result obtained in the immediately preceding part of the question. This is a strict instruction; starting a fresh method wastes time and risks losing key method marks.
  3. 3high影響する配点: 2Trigonometry (Additional Mathematics)

    Omitting the negative square root or alternative branches when solving quadratic or modulus equations.

    回避方法: Remember that taking the square root of both sides of an equation yields both positive and negative values (e.g., cot^2 x = k yields cot x = +/- sqrt(k)), and modulus equations require checking both positive and negative cases.
  4. 4medium影響する配点: 1Functions (Additional Mathematics)

    Using x instead of y or f(x) when writing down the range of a function, or confusing domain and range variables.

    回避方法: Define domain using x (e.g. x > a) and define range using y, f(x), or g(x) (e.g. f(x) <= b). Remember that the domain of an inverse function is identical to the range of the original function.
  5. 5medium影響する配点: 3Calculus (Additional Mathematics)

    Calculating total distance in kinematics by directly integrating velocity across the whole interval without checking for changes in direction.

    回避方法: Identify any times t where velocity v = 0. If the particle changes direction within the interval, split the integration into sub-intervals, integrate each section separately, and sum their absolute values.
  6. 6high影響する配点: 2Calculus (Additional Mathematics)

    Using a calculator in degree mode instead of radian mode when executing calculus evaluations on trigonometric terms.

    回避方法: Differentiating or integrating trigonometric functions is only mathematically valid when angles are in radians. Always toggle your calculator to RADIAN mode before evaluating calculus limits.

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