Master the Cambridge International AS Level Mathematics (9709) exam with these expert-vetted examiner strategies, covering time management, critical command words, calculator iteration techniques, and how to avoid mark-losing traps in Pure Mathematics 1 and 2.
อ่าน 4 นาทีอัปเดตเมื่อ: 21 มิ.ย. 2569
ภาพรวมข้อสอบ
จำนวนฉบับ
2
คะแนนเต็ม
125
เวลาสอบ
3ชม. 5นาที
ประเภทคำถาม
4
ฉบับ
เวลา
คะแนน
จำนวนข้อ
น้ำหนักคะแนน
ประเภทคำถาม
Paper 1 Pure Mathematics 1 (9709/1)
1ชม. 50นาที
75
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—
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Paper 2 Pure Mathematics 2 (9709/2)
1ชม. 15นาที
50
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—
—
เกณฑ์เกรด
ABCDEU
ข้อกำหนดเครื่องคิดเลข
A silent scientific calculator is required where the syllabus permits one. It must NOT be graphical, programmable, or capable of symbolic algebra (CAS), and it must contain no stored programs or notes.
วัตถุประสงค์: Tabulate \(y\) across a range of \(x\) to locate sign changes (roots) and approximate maxima/minima.
ใช้เมื่อใด: Solving or sketching a function when you want to find where its graph crosses or turns.
ขั้นตอน
Enter the function in TABLE mode, set the start, end and step, then read where the sign of \(y\) changes or where it peaks.
ข้อควรระวังในการสอบ: Allowed, but the calculator must be silent, non-graphical, non-programmable and free of stored content; always show the working the mark scheme requires.
Statistics mode (mean, SD & regression)
Scientific calculator (e.g. Casio fx-991 series)
วัตถุประสงค์: Read the mean \(\bar{x}\) and standard deviation directly, and the gradient/intercept (and \(r\)) of a linear regression for bivariate data.
ใช้เมื่อใด: Any data-handling, statistics, or required-practical analysis question.
ขั้นตอน
Enter the data in STAT mode (1-VAR or A+BX), then recall \(\bar{x}\), \(\sigma\) or the regression coefficients.
ข้อควรระวังในการสอบ: Allowed, but the calculator must be silent, non-graphical, non-programmable and free of stored content; always show the working the mark scheme requires.
Carry exact values with Ans & memory
Scientific calculator (e.g. Casio fx-991 series)
วัตถุประสงค์: Keep full-precision intermediate values to avoid rounding errors.
ใช้เมื่อใด: Multi-step calculations where premature rounding loses the final accuracy mark.
ขั้นตอน
Use Ans, STO/RCL or the M+ memory to reuse the unrounded result of each step; round only the final answer.
ข้อควรระวังในการสอบ: Allowed, but the calculator must be silent, non-graphical, non-programmable and free of stored content; always show the working the mark scheme requires.
Equation solver — to CHECK your working
Scientific calculator (e.g. Casio fx-991 series)
วัตถุประสงค์: Use the built-in EQN/SOLVE mode to verify roots of quadratics or simultaneous equations you have already solved by algebra.
ใช้เมื่อใด: As a check only, after solving by hand.
ขั้นตอน
Enter the coefficients in EQN mode (or use SOLVE) and confirm they match your worked solution.
ข้อควรระวังในการสอบ: Allowed, but the calculator must be silent, non-graphical, non-programmable and free of stored content; always show the working the mark scheme requires.
Failing to show explicit limit substitutions in definite integration, depending purely on calculator outputs.
วิธีหลีกเลี่ยง: Always write out the integrated function in square brackets, show the explicit substitution of the upper and lower limits, and then write down your calculated final value.
Using Degree mode on calculators instead of Radian mode for calculus and advanced trigonometry calculations.
วิธีหลีกเลี่ยง: Always check your calculator's screen for 'R' (Radian) mode before working on differentiation, integration, parametric equations, or circular measures.
Premature rounding of intermediate values (e.g., progressional ratios, sector radii, or coefficients) to 3 significant figures instead of keeping at least 4 significant figures, resulting in inaccurate final answers.
วิธีหลีกเลี่ยง: Keep intermediate values written to 4 or 5 significant figures (or store them as variables in your calculator's memory), and round to 3 significant figures only in the final answer step.
Omitting the negative roots when resolving equations derived from squared expressions, such as functions manipulation or quadratic trigonometric equations.
วิธีหลีกเลี่ยง: When clearing squares (e.g., taking the square root of both sides), always state and evaluate both the positive and negative roots (e.g., ±) unless a specific domain restriction forbids it.