Cambridge IGCSE · 考試技巧

Mathematics - Additional (0606) 考試技巧

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.

閱讀時間 5 分鐘更新於: 2026年6月21日

試卷概覽

卷數
2
總分
160
考試時間
4小時
題型
3
試卷時間分數題數比重題型
Paper 1 Non-Calculator2小時801250%Short Answer (1-3 marks), Medium Structured (4-6 marks), Long Structured (7-9 marks)
Paper 2 Calculator2小時801150%Short Answer (1-3 marks), Medium Structured (4-6 marks), Long Structured (7-9 marks)
評級
A*ABCDEFG
計算機規定

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%)

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計算機程式

Table mode for roots & turning points

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

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

使用時機: Solving or sketching a function when you want to find where its graph crosses or turns.

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

考試提示: 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)

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

使用時機: Any data-handling, statistics, or required-practical analysis question.

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

考試提示: 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)

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

使用時機: Multi-step calculations where premature rounding loses the final accuracy mark.

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

考試提示: 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)

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

使用時機: As a check only, after solving by hand.

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

考試提示: Allowed on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.

常見錯誤

  1. 1high涉及分數: 2Circular measure (Additional Mathematics)

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

    如何避免: 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涉及分數: 3Functions (Additional Mathematics)

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

    如何避免: 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涉及分數: 2Trigonometry (Additional Mathematics)

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

    如何避免: 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涉及分數: 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.

    如何避免: 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涉及分數: 3Calculus (Additional Mathematics)

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

    如何避免: 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涉及分數: 2Calculus (Additional Mathematics)

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

    如何避免: 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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