An evidence-based study guide and examiner-insights pack for Cambridge IGCSE International Mathematics (0607), focusing on avoiding common algebraic, GDC, and rounding pitfalls.
อ่าน 4 นาทีอัปเดตเมื่อ: 21 มิ.ย. 2569
ภาพรวมข้อสอบ
จำนวนฉบับ
3
คะแนนเต็ม
200
เวลาสอบ
4ชม. 30นาที
ประเภทคำถาม
3
ฉบับ
เวลา
คะแนน
จำนวนข้อ
น้ำหนักคะแนน
ประเภทคำถาม
Paper 2 (Extended, Non-calculator)
1ชม. 30นาที
75
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Paper 4 (Extended, Calculator)
1ชม. 30นาที
75
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Paper 6 (Extended, Investigation and Modelling)
1ชม. 30นาที
50
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เกณฑ์เกรด
A*ABCDEFGU
ข้อกำหนดเครื่องคิดเลข
A silent scientific calculator may be used on papers where calculators are permitted (some papers are non-calculator). It must not be graphical or programmable and must hold no stored information.
AO1: AO1 Mathematical techniques (60%)
AO2: AO2 Applying mathematical techniques to solve problems (40%)
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 on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.
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 on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.
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 on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.
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 on papers where a calculator is permitted; use a silent scientific calculator with no stored content and show your method.
Rounding intermediate values prematurely to 2 or 3 significant figures.
วิธีหลีกเลี่ยง: Keep at least 5 significant figures or the exact surd/fraction value in working steps, only rounding the final answer to 3 significant figures.
2mediumคะแนนที่เกี่ยวข้อง: 1Functions / Modelling
Omitting the subject of an equation when writing down mathematical models (e.g., writing 0.6T + 331 instead of S = 0.6T + 331).
วิธีหลีกเลี่ยง: Always write a complete equation with a designated subject variable (such as y = ...) when asked to formulate a model.
3highคะแนนที่เกี่ยวข้อง: 2Probability
Failing to decrease the total and selection count in successive probability branches for non-replacement questions.
วิธีหลีกเลี่ยง: Carefully check the context of the question; if it specifies 'without replacement', decrease the denominators and appropriate numerators in step-by-step calculations.
4highคะแนนที่เกี่ยวข้อง: 2Functions
Using the 'trace' function on the GDC instead of using formal calc-maximum, calc-minimum, or intersection menu tools.
วิธีหลีกเลี่ยง: Use the GDC's built-in calculation functions to find exact coordinates for turning points and intersections, as manual trace produces imprecise values.
5mediumคะแนนที่เกี่ยวข้อง: 1Functions
Writing asymptotes as single values (e.g. 1.5) instead of full equations of lines (e.g. x = 1.5).
วิธีหลีกเลี่ยง: Always write horizontal or vertical asymptotes as complete linear equations of the form x = c or y = c.
Failing to change signs correctly when expanding brackets with a leading negative coefficient (e.g. -5(x - 3) expanded as -5x - 15).
วิธีหลีกเลี่ยง: Ensure negative coefficients are distributed across all terms inside the brackets, keeping in mind that negative multiplied by negative yields a positive.
7mediumคะแนนที่เกี่ยวข้อง: 2Geometry
Assuming a triangle is isosceles or right-angled in geometry or circle theorems without explicit proof or given geometric markers.
วิธีหลีกเลี่ยง: Never assume symmetry or angles based on diagrams; verify with theorems or given properties before proceeding with calculations.