Mastering Pearson Edexcel IGCSE Mathematics (Specification B) requires precise time allocation across Paper 1 and Paper 2, rigorous algebraic layouts, and the exact verbatim application of geometric and circular theorems. This guide breaks down examiner-tested strategies to avoid common pitfalls in bounds, matrices, and vectors, helping you secure top marks.
読了時間 4 分更新日: 2026年6月21日
試験の概要
試験数
2
満点
200
制限時間
4時間
出題形式
2
試験
時間
配点
問題数
配点比率
出題形式
Paper 1 (Core Skills and Proofs)
1時間 30分
100
27
50%
Short Answer, Structured/Multi-part
Paper 2 (Structured Applications)
2時間 30分
100
12
50%
Structured/Multi-part
評価段階
987654321U
電卓の規定
A scientific or graphical calculator is permitted. Graphical calculators must be in exam mode with all stored programs and data cleared before the exam; the calculator must not be able to retrieve stored text or formulae.
AO1: Demonstrate knowledge, understanding and skills in number, algebra, geometry, trigonometry, mensuration, vectors, matrices, sets, functions, and statistics. (50%)
AO2: Apply mathematical techniques to solve structured and unstructured problems in a variety of contexts. (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, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
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, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
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, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
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, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
よくあるミス
1high影響する配点: 2Mensuration
Failing to add the boundary radii values when calculating the total perimeter of a circle sector.
回避方法: Always calculate the arc length first using \(\frac{\theta}{360} \times 2\pi r\), and then add \(2r\) to find the complete boundary perimeter of the sector.
2high影響する配点: 3Number
Incorrect bounds for division, such as dividing the lower bound of distance by the lower bound of time when looking for the lower bound of speed.
回避方法: Remember the division bounds rule: to find the lower bound of a quotient \(\frac{x}{y}\), divide the lower bound of the numerator \(x\) by the upper bound of the denominator \(y\).
3high影響する配点: 2Geometry
Omitting geometric justifications or circle theorem reasons (frequently written in bold in mark schemes) during multi-step angle calculations.
回避方法: Write down the exact geometric reasoning for every calculated angle step. Use official phrases like 'angles in a triangle sum to 180' and 'alternate angles are equal' to protect your marks.
4medium影響する配点: 3Matrices
Writing transformation matrices in the incorrect order of multiplication when performing compound transformations.
回避方法: To apply transformation \(\mathbf{M}_1\) followed by \(\mathbf{M}_2\) to a coordinate matrix \(\mathbf{X}\), set up the multiplication as \(\mathbf{M}_2 \mathbf{M}_1 \mathbf{X}\), multiplying transformation matrices from right to left.
5high影響する配点: 4Geometry
Using the linear scale factor directly for area or volume scale changes in mathematically similar shapes.
回避方法: Always square the linear scale factor \(k\) for area relationships (\(k^2\)) and cube it for volume relationships (\(k^3\)) before setting up ratios.