An evidence-based study guide and examiner-insights pack for Cambridge IGCSE International Mathematics (0607), focusing on avoiding common algebraic, GDC, and rounding pitfalls.
閱讀時間 4 分鐘更新於: 2026年6月21日
試卷概覽
卷數
3
總分
200
考試時間
4小時 30分鐘
題型
3
試卷
時間
分數
題數
比重
題型
Paper 2 (Extended, Non-calculator)
1小時 30分鐘
75
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—
Paper 4 (Extended, Calculator)
1小時 30分鐘
75
—
—
—
Paper 6 (Extended, Investigation and Modelling)
1小時 30分鐘
50
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評級
A*ABCDEFGU
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 Mathematical techniques (60%)
AO2: AO2 Applying mathematical techniques to solve problems (40%)
根據歷屆試題與評分準則整理（2023–2025）。
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
1high涉及分數: 2Trigonometry / Mensuration
Rounding intermediate values prematurely to 2 or 3 significant figures.
如何避免: Keep at least 5 significant figures or the exact surd/fraction value in working steps, only rounding the final answer to 3 significant figures.
2medium涉及分數: 1Functions / Modelling
Omitting the subject of an equation when writing down mathematical models (e.g., writing 0.6T + 331 instead of S = 0.6T + 331).
如何避免: Always write a complete equation with a designated subject variable (such as y = ...) when asked to formulate a model.
3high涉及分數: 2Probability
Failing to decrease the total and selection count in successive probability branches for non-replacement questions.
如何避免: Carefully check the context of the question; if it specifies 'without replacement', decrease the denominators and appropriate numerators in step-by-step calculations.
4high涉及分數: 2Functions
Using the 'trace' function on the GDC instead of using formal calc-maximum, calc-minimum, or intersection menu tools.
如何避免: Use the GDC's built-in calculation functions to find exact coordinates for turning points and intersections, as manual trace produces imprecise values.
5medium涉及分數: 1Functions
Writing asymptotes as single values (e.g. 1.5) instead of full equations of lines (e.g. x = 1.5).
如何避免: Always write horizontal or vertical asymptotes as complete linear equations of the form x = c or y = c.
6medium涉及分數: 1Algebraic manipulation
Failing to change signs correctly when expanding brackets with a leading negative coefficient (e.g. -5(x - 3) expanded as -5x - 15).
如何避免: Ensure negative coefficients are distributed across all terms inside the brackets, keeping in mind that negative multiplied by negative yields a positive.
7medium涉及分數: 2Geometry
Assuming a triangle is isosceles or right-angled in geometry or circle theorems without explicit proof or given geometric markers.
如何避免: Never assume symmetry or angles based on diagrams; verify with theorems or given properties before proceeding with calculations.