The ultimate Cambridge International A Level Mathematics (9709) exam preparation package. Grounded in the 2023-2025 examiner reports, this package contains structural paper insights, tactical time-management guidance, highly recurring mark-loss alerts, and verified calculator methods to secure your A*.
อ่าน 4 นาทีอัปเดตเมื่อ: 21 มิ.ย. 2569
ภาพรวมข้อสอบ
จำนวนฉบับ
6
คะแนนเต็ม
350
เวลาสอบ
8ชม. 40นาที
ประเภทคำถาม
1
ฉบับ
เวลา
คะแนน
จำนวนข้อ
น้ำหนักคะแนน
ประเภทคำถาม
9709/15
1ชม. 50นาที
75
11
30%
Structured
9709/25
1ชม. 15นาที
50
8
20%
Structured
9709/35
1ชม. 50นาที
75
11
30%
Structured
9709/45
1ชม. 15นาที
50
7
20%
Structured
9709/55
1ชม. 15นาที
50
7
20%
Structured
9709/65
1ชม. 15นาที
50
7
20%
Structured
เกณฑ์เกรด
A*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.
Writing down only the final roots of a quadratic equation with zero supporting algebraic steps.
วิธีหลีกเลี่ยง: Show intermediate factorisation, explicit quadratic formula substitution, or completing the square steps. The syllabus explicitly penalises calculator-only quadratic solutions with zero marks.
Working in degree mode on the calculator when differentiating, integrating, or applying limits to trigonometric variables.
วิธีหลีกเลี่ยง: Always switch your calculator to RADIAN mode when performing any calculus operations or when solving trigonometric equations where the interval is specified in radians.
4mediumคะแนนที่เกี่ยวข้อง: 2The normal distribution (Probability & Statistics 1)
Omitting the continuity correction (+/- 0.5) when using the Normal distribution to approximate discrete distributions (Binomial or Poisson).
วิธีหลีกเลี่ยง: Apply a continuity correction of +/- 0.5 when transitioning from discrete integer boundaries to continuous standard normal intervals (e.g., P(X < 20) becomes P(Y < 19.5)).
Premature rounding of intermediate decimals to 3 significant figures, causing cumulative rounding errors in final answers.
วิธีหลีกเลี่ยง: Keep intermediate values to at least 4 or 5 significant figures (or use exact fractions/surds) and only round your final answer to 3 significant figures (or 1 decimal place for angles in degrees).