Master the Pearson Edexcel International A Level Pure Mathematics (YPM01) exam with examiner-grade tips, strategic time management frameworks, critical error-prevention checklists, and calculator-assisted verification methodologies.
閱讀時間 4 分鐘更新於: 2026年6月21日
試卷概覽
卷數
4
總分
300
考試時間
6小時
題型
3
試卷
時間
分數
題數
比重
題型
Pure Mathematics P1 (WMA11/01A)
1小時 30分鐘
75
10
25%
結構題
Pure Mathematics P2 (WMA12/01A)
1小時 30分鐘
75
10
25%
結構題
Pure Mathematics P3 (WMA13/01A)
1小時 30分鐘
75
9
25%
結構題
Pure Mathematics P4 (WMA14/01A)
1小時 30分鐘
75
9
25%
結構題
評級
A*ABCDEU
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: Recall, select and use mathematical facts, concepts and techniques. (40%)
AO2: AO2: Construct rigorous mathematical arguments and proofs, and use graphs, sketches and diagrams. (35%)
AO3: AO3: Translate real-world and abstract problems into mathematical processes and evaluate the outcomes. (25%)
根據歷屆試題與評分準則整理（2023–2026）。
計算機程式
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.
使用時機: Checking solutions, sketching, or solving where an analytic method is hard.
步驟
Graph the function(s) and use the built-in zero, intersect and maximum/minimum tools.
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.
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.
使用時機: Iterative or implicit equations, or to confirm an algebraic solution.
步驟
Use the equation/zero solver, entering the equation and a sensible starting estimate.
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.
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.
使用時機: Checking calculus answers, or where only a numerical value is needed.
步驟
Use the GDC's numeric integral / derivative function with the limits or the point.
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 & probability distributions
Graphical calculator / GDC (exam mode)
用途: 1-var/2-var statistics, linear regression, and cumulative binomial / normal / Poisson probabilities without tables.
使用時機: Statistics questions and hypothesis tests.
步驟
Enter data in the statistics editor, or use the distribution menu (binomial cdf, normal cdf, …).
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: 3Integration (Unit P1: Pure Mathematics 1)
Omitting the constant of integration (+c) in indefinite integration questions across all units (P1, P2, P3).
如何避免: Write down '+ c' immediately as soon as you integrate the terms, before simplifying or substituting coordinate values to find the constant.
2high涉及分數: 2Coordinate geometry in the (x, y) plane (Unit P1: Pure Mathematics 1)
Assuming that the gradient of a normal is equal to the gradient of the tangent, or neglecting the negative reciprocal rule.
如何避免: Always calculate the tangent gradient first, then explicitly apply the negative reciprocal formula: m_normal = -1/m_tangent.
3high涉及分數: 2Algebra and functions (Unit P2: Pure Mathematics 2)
Failing to use brackets when expanding binomial terms like (kx)^n, leading to errors where k is not raised to the power n.
如何避免: Always place brackets around the entire term (e.g., write (kx)^2 as k^2 * x^2, not kx^2) before expanding.
4medium涉及分數: 4Proof (Unit P4: Pure Mathematics 4)
Relying entirely on calculator technology for 'Show that' questions or non-calculator sections, providing only final values without analytical working.
如何避免: Provide complete step-by-step intermediate algebraic factorization, surd expansion, or formula substitution to secure the method marks.
5high涉及分數: 3Trigonometry (Unit P3: Pure Mathematics 3)
Differentiating or integrating trigonometric functions, or using numerical methods, while the calculator is in Degree mode instead of Radian mode.
如何避免: Set your calculator to Radian mode (RAD) immediately at the start of any P3 or P4 exam.
6medium涉及分數: 2Algebra and functions (Unit P2: Pure Mathematics 2)
Sign errors during algebraic division or bracket removal, particularly in polynomial remainder theorem applications and implicit derivatives.
如何避免: Use protective brackets around multi-term expressions when performing subtractions to ensure negative signs are distributed correctly.