Maximize your Pearson Edexcel IGCSE Mathematics (Specification A) score with examiner-backed insights. Master scale factor conversions, bounds pairing, algebraic fraction proofs, and strategic calculator verification.
閱讀時間 4 分鐘更新於: 2026年6月21日
試卷概覽
卷數
2
總分
200
考試時間
4小時
題型
3
試卷
時間
分數
題數
比重
題型
Paper 1H: Higher Tier
2小時
100
29
50%
Short Answer, Structured, Complex
Paper 2H: Higher Tier
2小時
100
28
50%
Short Answer, Structured, Complex
評級
987654321
計算機規定
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: AO1: Demonstrate knowledge, understanding and skills in number, algebra, geometry and statistics (60%)
AO2: AO2: Mathematical reasoning and proof (25%)
AO3: AO3: Mathematical problem solving in a range of contexts (15%)
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, 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)
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, 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)
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, 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)
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, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
常見錯誤
1high涉及分數: 4Similarity
Applying linear scale factor multiplier directly to volume or surface area calculations for similar solids.
如何避免: Always square the linear scale factor (k^2) for area ratios, and cube it (k^3) for volume ratios. If given volumes first, find the linear scale factor by taking the cube root.
2high涉及分數: 5Degree of accuracy
Incorrect pairing of bounds during division or subtraction, such as calculating fraction bounds as Upper/Upper instead of Upper/Lower.
如何避免: To find the upper bound of a division formula, divide the upper bound of the numerator by the lower bound of the denominator. For subtraction, use Upper - Lower.
3high涉及分數: 2Trigonometry and Pythagoras’ theorem
Premature rounding of intermediate decimals (such as intermediate lengths or angles) mid-calculation, compromising the final accuracy.
如何避免: Carry the full calculator precision in your working, or store intermediate values in your calculator memory. Round only at the very final step.
4medium涉及分數: 2Vectors
Failing to write down a collinearity statement when proving three points lie on a straight line using vector proofs.
如何避免: After showing one vector is a multiple of the other (e.g., AB = k * BC), explicitly state that the vectors are parallel and share a common point (B), therefore the points lie on a straight line.
5high涉及分數: 3Probability
Assuming replacement in probability tree questions and using constant denominators for subsequent events when the context is 'without replacement'.
如何避免: Carefully read the question for phrases like 'does not replace.' If items are not replaced, reduce both the numerator and the denominator by 1 on subsequent branches.
6medium涉及分數: 3Percentages
Treating compound interest or depreciation as simple interest, multiplying the principal directly by the interest rate or neglecting the exponential power.
如何避免: Use the compound interest formula: Principal * (Multiplier)^n, where n is the number of years. For depreciation, the multiplier is less than 1.
7medium涉及分數: 1Powers and roots
Simplifying algebraic indices incorrectly, such as assuming (6m)^0 simplifies to 6 instead of 1.
如何避免: Remember that any non-zero term raised to the power of 0 is strictly equal to 1, i.e., (6m)^0 = 1, whereas 6m^0 = 6 * 1 = 6.