Authoritative examiner-drafted guide for Pearson Edexcel International AS Level Mathematics (XMA01). Covers paper structures for P1, P2, M1, and S1, highlighting high-frequency candidate mistakes, algebraic justification rules, and practical calculator verification routines.
Probability & Distributions, Summarisation & Regression
评级
ABCDEU
计算器规定
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: Recall, select and use their knowledge of mathematical facts, concepts and techniques in a variety of contexts. (50%)
AO2: AO2: Construct rigorous mathematical arguments and proofs through use of precise statements, logical deduction and inference. (25%)
AO3: AO3: Translate real-world problems into mathematical models, interpret results, and evaluate the limitations of models. (25%)
根据历届试题与评分标准整理（2023–2026）。
计算器程序
Graph: zeros, intersections & turning points
Graphical calculator / GDC (exam mode)
用途: Plot a function to read its roots (zeros), points of intersection, and maxima/minima.
使用时机: Checking solutions, sketching, or solving where an analytic method is hard.
步骤
Graph the function(s) and use the built-in zero, intersect and maximum/minimum tools.
考试提示: Allowed, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
Numerical equation solver
Graphical calculator / GDC (exam mode)
用途: Solve an equation or find a variable numerically when an algebraic route is long or implicit.
使用时机: Iterative or implicit equations, or to confirm an algebraic solution.
步骤
Use the equation/zero solver, entering the equation and a sensible starting estimate.
考试提示: Allowed, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
Numerical integration & differentiation
Graphical calculator / GDC (exam mode)
用途: Evaluate a definite integral \(\int_a^b f(x)\,dx\) or a gradient \(f'(x)\) at a point.
使用时机: Checking calculus answers, or where only a numerical value is needed.
步骤
Use the GDC's numeric integral / derivative function with the limits or the point.
考试提示: Allowed, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
Statistics & probability distributions
Graphical calculator / GDC (exam mode)
用途: 1-var/2-var statistics, linear regression, and cumulative binomial / normal / Poisson probabilities without tables.
使用时机: Statistics questions and hypothesis tests.
步骤
Enter data in the statistics editor, or use the distribution menu (binomial cdf, normal cdf, …).
考试提示: Allowed, but clear stored programs/data (graphical calculators in exam mode) and show the required working — unsupported calculator answers score no method marks.
常见错误
1high涉及分数: 2Integration (Unit P1: Pure Mathematics 1)
Failing to write down the constant of integration (+ c) in indefinite integration questions.
如何避免: Train yourself to write '+ c' immediately as soon as you draw the integrated expression, before doing any algebraic simplification.
2high涉及分数: 1The Normal distribution (Unit S1: Statistics 1)
Omitting the negative sign on normal distribution z-scores when working with values below the mean.
如何避免: Always draw a quick sketch of the normal curve. If the given probability is less than 0.5 for a 'less than' inequality, the standardized z-score must be negative.
3medium涉及分数: 1Algebra and functions (Unit P1: Pure Mathematics 1)
Writing invalid composite inequalities such as '4 < p < -2/3' to express disjoint regions.
如何避免: Use the word 'or' to separate disjoint regions: 'p > 4 or p < -2/3'. Never write them as a single combined inequality.
4medium涉及分数: 2Dynamics of a particle moving in a straight line or plane (Unit M1: Mechanics 1)
Introducing the gravitational constant 'g' into weight equations when weight is already given in Newtons.
如何避免: Double-check units in the question. If the force is given in Newtons (N), it is already a weight/force. Do not multiply by 9.8.
5high涉及分数: 2Algebra and functions (Unit P2: Pure Mathematics 2)
Failing to square the scaling coefficient 'p' inside binomial expansion terms, e.g. writing 'px^2' instead of 'p^2 x^2'.
如何避免: Always write binomial terms in brackets first: '(px)^2' and '(px)^3', then expand them explicitly to 'p^2 x^2' and 'p^3 x^3' in the next line.
6medium涉及分数: 2Representation and summary of data (Unit S1: Statistics 1)
Forgetting to square the coding factor when converting coded variance back to raw variance.
如何避免: Remember that Var(aX + b) = a^2 Var(X). When decoding, make sure you multiply or divide by the square of the coding multiplier.