This comprehensive exam preparation package for Cambridge IGCSE Mathematics (0580) details the structure of Core and Extended components, presents a high-impact study guide, categorizes critical pitfalls from examiner reports (2023–2025), and offers practical scientific calculator techniques to prevent precision errors.
อ่าน 5 นาทีอัปเดตเมื่อ: 21 มิ.ย. 2569
ภาพรวมข้อสอบ
จำนวนฉบับ
2
คะแนนเต็ม
200
เวลาสอบ
4ชม.
ประเภทคำถาม
4
ฉบับ
เวลา
คะแนน
จำนวนข้อ
น้ำหนักคะแนน
ประเภทคำถาม
Paper 2 (Extended, Non-calculator)
2ชม.
100
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Paper 4 (Extended, Calculator)
2ชม.
100
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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: Knowledge and understanding of mathematical techniques (50%)
AO2: Apply mathematical techniques to solve problems (50%)
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.
ข้อผิดพลาดที่พบบ่อย
1highคะแนนที่เกี่ยวข้อง: 2Trigonometry
Premature rounding of intermediate decimals to 2 or 3 significant figures during multi-step trigonometry or similarity calculations.
วิธีหลีกเลี่ยง: Retain intermediate calculated numbers as exact fractions, surds, or stored memory values on your scientific calculator, and only round the final answer to 3 significant figures.
2highคะแนนที่เกี่ยวข้อง: 3Similarity
Applying linear scale factors directly to problems dealing with mathematically similar volumes or areas.
วิธีหลีกเลี่ยง: Always square the linear scale factor (k^2) to scale surface areas, and cube it (k^3) to scale volumes and capacities.
3highคะแนนที่เกี่ยวข้อง: 2Algebraic manipulation
Failing to write down intermediate substitutions and equations in 'Show that' and 'Write down and solve' questions.
วิธีหลีกเลี่ยง: Show the substitution of all known values into formulas explicitly, and never write down exact values or algebraic models without their progressive structural derivations.
4mediumคะแนนที่เกี่ยวข้อง: 2Probability of combined events
Forgetting to reduce denominators in sequential 'without replacement' combined probability calculations.
วิธีหลีกเลี่ยง: For each subsequent selection, reduce both the numerator and the denominator of your fraction by 1 to reflect the decrease in the available items.
5highคะแนนที่เกี่ยวข้อง: 2Surface area and volume
Substituting diameter values directly into cylindrical or spherical surface area and volume formulas instead of radius.
วิธีหลีกเลี่ยง: Halve the diameter to find the radius (r = d/2) before substituting values into any mensuration formula.
6mediumคะแนนที่เกี่ยวข้อง: 3Equations of linear graphs
Omitting the calculation of the midpoint when finding the equation of a perpendicular bisector.
วิธีหลีกเลี่ยง: Remember that a perpendicular bisector must pass through the midpoint of the segment. Calculate the midpoint coordinates first and substitute them into y = mx + c to solve for c.