Question 1

Omission of brackets around algebraic terms during substitution or binomial expansions, such as writing kx^2 instead of (kx)^2.

Accepted Answer

Always use enclosing parentheses when substituting variables or raising algebraic binomial terms containing coefficients to a power.

Question 2

Skipping explicit surd division and rationalization steps when solving coordinate geometry equations, leading to M0A0 marks.

Accepted Answer

Show the full intermediate multiplication by the conjugate surd (e.g., multiplying numerator and denominator by the denominator's conjugate) to secure method marks.

Question 3

Failing to include the constant of integration (+c) in indefinite integration questions before solving for boundary conditions.

Accepted Answer

Write '+ c' immediately on the line where the integration operator is removed, before attempting to substitute coordinates to find its value.

Question 4

Relying entirely on calculator solvers to obtain roots of quadratic equations or cubic intersections without writing down factorized forms.

Accepted Answer

Always write down the factorized quadratic form (x - a)(x - b) = 0 or the fully substituted quadratic formula before showing the final roots.

Question 5

Using the flawed assumption 4k+1 to define all odd integers in proof by exhaustion or deduction tasks.

Accepted Answer

Ensure all cases are covered. Odd integers must be expressed as 2k+1, or if using modulo 4, both 4k+1 and 4k+3 must be separately evaluated and summarized.

Question 6

Failing to write down a concluding summary statement in proof by exhaustion or deduction to link the algebraic result back to the initial assertion.

Accepted Answer

Conclude your proof with a final statement such as: 'Since 8n is a multiple of 8 for all integers n, the original statement is proven.'

Question 7

Converting intermediate fractions or surds into rounded decimals in integration tasks, causing compounding rounding errors.

Accepted Answer

Perform all intermediate steps using exact fractions, exact surds, or log terms, only rounding at the very final step if explicitly asked.

試卷	時間	分數	題數	比重	題型
Pure Mathematics P1	1小時 30分鐘	75	10	50%	Algebraic Inequalities, Indices and Surds, Differentiation & Tangents, Coordinate Geometry & Quadrilaterals, Curve Sketching & Transformations, Trigonometry & Sectors, Integration & Normals, Discriminant & Quadratics, Trigonometric Equation Solution Counts, Cubic Functions & Intersection
Pure Mathematics P2	1小時 30分鐘	75	10	50%	Arithmetic Series, Recurrence Relations & Summation, Trapezium Rule & Integration, Factor and Remainder Theorem, Definite Integration with Parameter, Coordinate Geometry of Circles, Calculus & Perimeter Optimisation, Geometric Sequences & Trigonometry, Logarithmic Simultaneous Equations, Binomial Expansion

Pure Mathematics (XPM01) 考試技巧

試卷概覽

計算機程式

Graph: zeros, intersections & turning points

Numerical equation solver

Numerical integration & differentiation

Statistics & probability distributions

常見錯誤

將技巧化為佳績