← Grade 10
Mathematics · Year 5

Grade 10 Mathematics

Circle theorems, logarithms, statistics and regression, and networks. Master eAssessment-style problems requiring full justification and precise communication.

Criteria A, B, C, D  |  eAssessment Band  |  4 Topics

Study Topics

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eAssessment Reminder

Show ALL working — no working = no method marks. Always justify degrees of accuracy (explain why you rounded to 2 d.p. etc.). The digital exam is ~1 hr 45 min with calculator and non-calculator sections.

Topic 1.1
Circle Theorems
The eight circle theorems, proofs using angle reasoning, arc length, sector area, and circle equation (x−a)² + (y−b)² = r².
Circle Theorems Proofs Arc & Sector Circle Equation
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Topic 1.2
Logarithms & Exponentials (Extended)
Laws of logarithms, solving exponential and logarithmic equations, exponential growth and decay, and the natural logarithm.
Log Laws Exponential Eq. Growth & Decay Natural Log
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Topic 1.3
Statistics — Regression & Correlation
Pearson's correlation coefficient, line of best fit, regression equations, chi-squared test, and interpreting statistical results in context.
Correlation Regression Chi-Squared Interpretation
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Topic 1.4
Networks & Combinatorics (Extended)
Graph theory, shortest path (Dijkstra), minimum spanning trees, permutations, combinations, and the binomial theorem.
Graph Theory Dijkstra's Algorithm Permutations Combinations