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IGCSE Mathematics: Exam Prep & Study Path

Build exact arithmetic, algebra, geometry and data skills for Cambridge 0580 Extended foundations.

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Exact number and place value

An exact fraction preserves a value without rounding. Factors and multiples describe different relationships between whole numbers.

7 min lesson + practice
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4 domains. One connected path.

Start with the foundations, then build connections.

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Video companions with clear steps, original diagrams, and practice.

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Original diagram: Make the line satisfy every condition. VIDEO → ARTICLE
Gauth · 9 min read

Make the line satisfy every condition.

Connect gradients, midpoints and perpendicular lines with visible working.

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Original diagram: Solve the equation. Interpret the root. VIDEO → ARTICLE
The Organic Chemistry Tutor · 9 min read

Solve the equation. Interpret the root.

Turn a rectangle into a quadratic and check both algebra and context.

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Original diagram: Read the path before multiplying. VIDEO → ARTICLE
1st Class Maths · 10 min read

Read the path before multiplying.

Distinguish replacement, conditional branches and either-order events.

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Original diagram: Bounds follow the operation. VIDEO → ARTICLE
1st Class Maths · 11 min read

Bounds follow the operation.

Choose extremal inputs before calculating an extremal result.

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Original diagram: A histogram counts area. VIDEO → ARTICLE
1st Class Maths · 11 min read

A histogram counts area.

Unequal class widths make bar height an unreliable shortcut.

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Original diagram: Grouped data keeps some uncertainty. VIDEO → ARTICLE
1st Class Maths · 11 min read

Grouped data keeps some uncertainty.

Move from histogram areas to estimates without pretending to know the raw observations.

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A focused foundation pilot. 400 original question variants across 96 families. This is a starting set, not complete Cambridge IGCSE Mathematics 0580 coverage. Explore the coverage map and gaps. Difficulty labels are uncalibrated editorial estimates; independent educator review is pending.