Cambridge IGCSE · 分析與預測
2023 Cambridge IGCSE Mathematics (0580) Past Paper 分析與預測
A comprehensive analysis of the Cambridge IGCSE Mathematics (0580) October/November 2023 series (Papers 11, 21, 31, and 41). The series placed a heavy emphasis on algebraic manipulation, multi-step trigonometry, and mensuration, highlighting critical student pitfalls in unit conversion, premature rounding, and similar-solid scaling.
更新: 2026年6月13日
難度 3.4/5
總分
200
時間
240 分鐘
最高頻課題
—
分卷
卷二 (Extended, Non-calculator): 100 分 · 120 分鐘Paper 4 (Extended, Calculator): 100 分 · 120 分鐘
考官重點
官方報告整理常見失分位
- Rounding answers prematurely inside intermediate steps of multi-step trigonometry questions, which results in losing accuracy marks for the final answer.
- Confusing linear conversion factors with square or cubic conversion factors (e.g., converting \( 1.2 \text{ m}^2 \) to \( \text{mm}^2 \) by multiplying by 1000 instead of \( 1000^2 \)).
- Omitting to divide the sphere volume formula by 2 when calculating the volume of a hemisphere.
- Using a single value or incorrect interval width instead of the midpoint when estimating the mean from a grouped frequency table.
常見誤解
- Assuming that a recurring decimal like \( 0.4\dot{2} \) is equivalent to \( 0.424242... \) rather than \( 0.4222... \).
- Treating a non-right-angled triangle as right-angled and applying basic SOH CAH TOA instead of the Sine or Cosine rule.
- Believing that similar solids scale their volumes linearly with the length scale factor, rather than using the cube of the scale factor \( k^3 \).
- Calculating simple interest by using the compound interest formula or vice-versa, or failing to add/subtract the principal when only interest is requested.
失分原因
- Failing to write down intermediate exact fractions and instead rounding to 1 or 2 significant figures mid-way through a calculation.
- Inability to deal with negative common factors when grouping terms to factorise quadratic-like or cubic-like expressions completely.
- Omitting the necessary 'show that' steps, such as not showing the addition of separate component volumes before stating the final rounded volume of a compound shape.
- Stating final coordinates to only 2 significant figures, which violates the default rubric of 3 significant figures for non-exact values.
等級 cut-off 估算
更新: 2026年6月13日
| 等級 | 分數 | 百分比 |
|---|---|---|
| A* | 173/200 | 87% |
| A | 146/200 | 73% |
| B | 118/200 | 59% |
| C | 91/200 | 46% |
| D | 74/200 | 37% |
| E | 57/200 | 29% |
Official grade boundaries published by Cambridge IGCSE grade thresholds (official).
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