An evidence-based study and exam-preparation guide for AQA AS Level Mathematics 7356, detailing paper structures, common student pitfalls, precise calculator strategies, and actionable advice from examiner reports.
อ่าน 4 นาทีอัปเดตเมื่อ: 21 มิ.ย. 2569
ภาพรวมข้อสอบ
จำนวนฉบับ
2
คะแนนเต็ม
160
เวลาสอบ
3ชม.
ประเภทคำถาม
5
ฉบับ
เวลา
คะแนน
จำนวนข้อ
น้ำหนักคะแนน
ประเภทคำถาม
Paper 1 (Pure & Mechanics)
1ชม. 30นาที
80
18
50%
Objective, Short structured, Multi-step / show that, Structured mechanics
Paper 2 (Pure & Statistics)
1ชม. 30นาที
80
18
50%
Objective, Short structured, Multi-step / optimisation, Structured statistics
เกณฑ์เกรด
ABCDEU
ข้อกำหนดเครื่องคิดเลข
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 (60%)
AO2: AO2: Reason, interpret and communicate mathematically (20%)
AO3: AO3: Solve problems within mathematics and in other contexts (20%)
วัตถุประสงค์: Plot a function to read its roots (zeros), points of intersection, and maxima/minima.
ใช้เมื่อใด: Checking solutions, sketching, or solving where an analytic method is hard.
ขั้นตอน
Graph the function(s) and use the built-in zero, intersect and maximum/minimum tools.
ข้อควรระวังในการสอบ: 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)
วัตถุประสงค์: Solve an equation or find a variable numerically when an algebraic route is long or implicit.
ใช้เมื่อใด: Iterative or implicit equations, or to confirm an algebraic solution.
ขั้นตอน
Use the equation/zero solver, entering the equation and a sensible starting estimate.
ข้อควรระวังในการสอบ: 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)
วัตถุประสงค์: Evaluate a definite integral \(\int_a^b f(x)\,dx\) or a gradient \(f'(x)\) at a point.
ใช้เมื่อใด: Checking calculus answers, or where only a numerical value is needed.
ขั้นตอน
Use the GDC's numeric integral / derivative function with the limits or the point.
ข้อควรระวังในการสอบ: 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)
วัตถุประสงค์: 1-var/2-var statistics, linear regression, and cumulative binomial / normal / Poisson probabilities without tables.
ใช้เมื่อใด: Statistics questions and hypothesis tests.
ขั้นตอน
Enter data in the statistics editor, or use the distribution menu (binomial cdf, normal cdf, …).
ข้อควรระวังในการสอบ: 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.
ข้อผิดพลาดที่พบบ่อย
1highคะแนนที่เกี่ยวข้อง: 3Algebra and functions
Failing to write down a complete, continuous chain of mathematical steps in 'show that' questions, assuming some algebraic simplifications are 'obvious'.
วิธีหลีกเลี่ยง: Explicitly state every step of your algebra. If factorising, show the factored expression; if simplifying fractions, show the common denominator explicitly before combining.
2highคะแนนที่เกี่ยวข้อง: 2Integration
Omitting the constant of integration (+ C) when performing indefinite integration, particularly inside larger multi-step problems.
วิธีหลีกเลี่ยง: Always write '+ C' immediately upon removing the integration sign, and use initial/boundary conditions to solve for its value if given.
3mediumคะแนนที่เกี่ยวข้อง: 4Trigonometry
Losing the second solution in trigonometric quadratic equations (e.g. from sin^2(x)) or failing to find all solutions inside the specified interval.
วิธีหลีกเลี่ยง: Always check the domain, adjust it for any transformed arguments (like 2x or x-30), and use the unit circle or wave symmetry to identify all possible solutions.
4mediumคะแนนที่เกี่ยวข้อง: 3Differentiation
Failing to verify the nature of a stationary point (maximum vs minimum) when solving optimization or calculus problems.
วิธีหลีกเลี่ยง: Find the second derivative, evaluate it at the stationary point, and formally state: since d^2y/dx^2 < 0, the point is a local maximum.
5highคะแนนที่เกี่ยวข้อง: 4Kinematics
Confusing displacement and distance when integrating velocity functions in kinematics.
วิธีหลีกเลี่ยง: Remember that distance is the integral of speed (the absolute area under the velocity-time graph). Check if the velocity crosses the t-axis; if so, integrate the positive and negative regions separately and sum their absolute values.
Writing the hypotheses for statistical hypothesis tests in terms of the sample mean or sample proportion instead of the population parameter.
วิธีหลีกเลี่ยง: Always state H0 and H1 using the population parameters 'p' (for binomial proportion) or 'mu' (for normal mean), never 'p-hat' or 'x-bar'.
7mediumคะแนนที่เกี่ยวข้อง: 1Algebra and functions
Sign errors in the factor theorem: assuming that f(a) = 0 implies (x + a) is a factor instead of (x - a).
วิธีหลีกเลี่ยง: Remember that if f(a) = 0, then x = a is a root, which means (x - a) is the linear factor.