Master the AQA A Level Mathematics (7357) exam with our evidence-based strategy guide. Discover actionable techniques for avoiding catastrophic marks cascades in synoptic questions, mastering 'Show That' proofs, and maximizing your graphic calculator's capability on exam day.
閱讀時間 5 分鐘更新於: 2026年6月21日
試卷概覽
卷數
3
總分
300
考試時間
6小時
題型
5
試卷
時間
分數
題數
比重
題型
Paper 1 (Pure)
2小時
100
16
33.33%
Objective, Short structured, Multi-step / proof
Paper 2 (Pure & Mechanics)
2小時
100
15
33.33%
Objective, Structured pure, Structured mechanics
Paper 3 (Pure & Statistics)
2小時
100
16
33.34%
Objective, Structured pure, Structured statistics
評級
A*ABCDEU
計算機規定
A scientific or graphical calculator that meets JCQ regulations may be used (some GCSE Mathematics and Science papers are non-calculator). Graphical calculators must be set to exam mode; you must clear any stored programs, notes or data before the exam, and the calculator must not be able to retrieve stored text or formulae.
AO1: AO1: Use and apply standard techniques (50%)
AO2: AO2: Reason, interpret and communicate mathematically (25%)
AO3: AO3: Solve problems within mathematics and in other contexts (25%)
根據歷屆試題與評分準則整理（2022–2023）。
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 under JCQ rules, but you must still show your method — an unsupported calculator answer earns no method marks. Clear all stored programs, notes and data (graphical calculators in exam mode) before the exam.
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 under JCQ rules, but you must still show your method — an unsupported calculator answer earns no method marks. Clear all stored programs, notes and data (graphical calculators in exam mode) before the exam.
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 under JCQ rules, but you must still show your method — an unsupported calculator answer earns no method marks. Clear all stored programs, notes and data (graphical calculators in exam mode) before the exam.
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 under JCQ rules, but you must still show your method — an unsupported calculator answer earns no method marks. Clear all stored programs, notes and data (graphical calculators in exam mode) before the exam.
常見錯誤
1high涉及分數: 4Trigonometry
Asserting rather than proving each line in trigonometric-identity proofs, skipping steps and jumping straight to the final answer.
如何避免: Write down every single logical and algebraic step. Work strictly on one side of the identity (LHS) and state the identities used (e.g., 'since sin^2(x) + cos^2(x) = 1') to reach the RHS.
2medium涉及分數: 2Numerical methods
In Newton-Raphson questions, failing to explain why a given starting value fails to converge to a root.
如何避免: Check if the derivative of the function at the starting value is zero (f'(x) = 0), or state that the tangent at that starting value does not cross the x-axis, or that it oscillates between values.
如何避免: State explicitly what the assumptions imply: a 'light string' means tension is constant, 'inextensible' means equal acceleration magnitude, and 'smooth pulley' means no friction.
4high涉及分數: 3Integration
Dropping integration limits or committing sign errors during integration by substitution.
如何避免: Always calculate new limits in terms of the substituted variable 'u' immediately, and carry them through every line of your working.
5medium涉及分數: 4Vectors
Mixing i and j vector components, or confusing a particle's position vector with its displacement vector.
如何避免: Treat components independently in horizontal and vertical equations, and remember that position vector equals initial position plus displacement vector.
6high涉及分數: 3Statistical hypothesis testing
Stating uncontextualized final conclusions in hypothesis tests or utilizing the wrong tail/critical region.
如何避免: Write a clear statement of rejection/acceptance of H0, and follow it immediately with a contextual sentence using non-definitive language (e.g., 'there is evidence to suggest...').