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IMSEO: Indonesia Mathematic Olympiad

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Quiz 1:   Fullscreen Mode IMSEO: Indonesia Mathematic Science English Olympiad Kabar gembira bagi para siswa Sekolah Dasar di seluruh Indonesia! Indonesia Mathematic Science English Olympiad (IMSEO) kembali digelar tahun 2025 ini. Olimpiade bergengsi ini dirancang untuk menguji dan mengembangkan kemampuan matematika siswa SD dari berbagai tingkatan. IMSEO menjadi ajang kompetisi yang sangat dinanti sebagai wadah bagi siswa untuk mengukur kemampuan dan mengasah keterampilan matematika mereka di tingkat nasional. Tentang IMSEO 2025 IMSEO 2025 merupakan olimpiade matematika yang diselenggarakan untuk siswa SD dari kelas 4 hingga kelas 6. Kompetisi ini bertujuan untuk meningkatkan minat dan kemampuan siswa dalam bidang matematika, serta mempersiapkan mereka untuk kompetisi tingkat internasional. Olimpiade ini mengadopsi pendekatan spiral dalam penyusunan materi, di mana konsep dan keterampilan yang lebih tinggi dibangun di atas dasar-...
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Straight lines and quadratic equations

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Other note source 📐 STRAIGHT LINES & QUADRATIC EQUATIONS Cambridge IGCSE Mathematics - Quick Reference Guide PART 1: STRAIGHT LINES 📊 Standard Form y = mx + c m = gradient (slope/steepness) c = y-intercept (crosses y-axis) x, y = coordinates Example: y = 3x + 2 • Gradient = 3 (rises 3 for every 1 across) • Y-intercept = 2 (crosses at (0,2)) Gradient Formula m = (y₂ - y₁) / (x₂ - x₁) Type Value Direction Positive m > 0 ↗ Up right Negative m ↘ Down right Zero m = 0 → Horizontal Undefined - ↑ Vertical Example: Points (2, 4) and (6, 12) m = (12 - 4)/(6 - 2) = 8/4 = 2 Special Lines Horizontal: y = k (e.g. y = 3) Vertical: x = k (e.g. x = -2) Parallel Lines Same gradient: m₁ = m₂ Lines y = 2x + 1 and y = 2x - 5 are parallel (both m = 2) Perpendicular Lines m₁ × m₂ = -1 or m₂ = -1/m₁ Line 1 Line 2 (⊥) m = 2 m = -½ m = 3 m = -⅓ m = -4 m = ¼ Intercepts Y-intercept: Set x = 0, solv...
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Differential equations

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              Other note source      📚 DIFFERENTIAL EQUATIONS Cambridge AS & A Level Mathematics (Chapter 10) Sections 10.1 - 10.2: Separating Variables & Forming Equations 🎯 What is a Differential Equation? Definition: An equation containing derivatives such as dy/dx or d²y/dx² is called a differential equation . KEY CONCEPT: The solution of a differential equation is a function , not just a number! Types of Solutions Solution Type Description Example General Solution Contains arbitrary constant(s) y = x³ + C Particular Solution Specific solution using initial conditions y = x³ + 5 First-Order Differential Equation: Contains only dy/dx (first derivative) Example: dy/dx = 3x² Differential Equation General Solution Particular Solution 🔧 Section 10.1: Separation of Variables The Basic Method STEP-BY-STEP PROCEDURE: Separate the variables: Rearrange to get f(y)...
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