GRADE 10 · Mathematics
Real numbers
3 lessons · 24 original questions · controlled visual steps
Prime factors, HCF and LCM applications, and irrationality proofs. Full exercise solutions remain pending.
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Explore, practise and explain
Use a short lesson sequence, take breaks, and revisit the topics that need more practice.
GRADE 10 · Mathematics
Polynomials
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Three lessons cover zeroes, simple quadratic factorisation and coefficient relations. A full range of graph shapes and every textbook exercise remain outside this companion.
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Pair of Linear Equations in Two Variables
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers graph interpretation, substitution, elimination and consistency through selected original problems. It is not an exhaustive word-problem or textbook solution bank.
Start or resume →GRADE 10 · Mathematics
Quadratic Equations
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers modelling, factorisation and discriminant/formula use. It gives selected reasoning and examples rather than every contextual problem or a full derivation of the quadratic formula.
Start or resume →GRADE 10 · Mathematics
Arithmetic Progressions
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers constant differences, term membership and finite sums, with selected contextual applications. It is not an exhaustive exercise bank.
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Triangles
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers correspondence, similarity criteria, BPT applications and indirect measurement. Complete deductive proofs of BPT and all similarity criteria, and every textbook problem, are still outside this companion.
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Coordinate Geometry
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers distance, internal section and midpoint applications. Coordinate proofs of every shape property and all textbook exercises remain to be added.
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Introduction to Trigonometry
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers right-triangle ratios, standard acute-angle values and basic identities. It does not exhaust all identity proofs or textbook exercises.
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Some Applications of Trigonometry
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers level-ground height models, observation height, depression and a same-side two-position model. Other configurations and practical measurement uncertainty require additional lessons.
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Circles
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers the radius–tangent relation, equal tangent lengths with RHS reasoning, and a tangent-angle consequence. It provides a concise proof explanation, not every textbook proof or exercise configuration.
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Areas Related to Circles
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers sectors, right-angle minor segments and selected composite areas. Other central-angle triangle calculations and all textbook exercise figures are not claimed complete.
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Surface Areas and Volumes
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers selected combinations of solids and exposed surfaces. The final remoulding lesson is labelled an extension; it is not a claim about the current prescribed exercise list. Hollow-object and every textbook configuration coverage remain pending.
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Statistics
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers direct-method grouped mean and standard equal-width grouped mode/median calculations. Assumed-mean and step-deviation methods, irregular-class cases and all textbook exercises remain outside this companion.
Start or resume →GRADE 10 · Mathematics
Probability
3 lessons · 24 original questions · controlled visual steps
Original learning companion, not full textbook exercise solutions. Covers finite equally likely outcomes, complements and small organised sample spaces. The coin-spinner examples state independence explicitly. Biased experiments and all textbook exercise contexts are not covered.
Start or resume →More learning for this grade
Six practical skills experiences · All observed subjects, books and gaps
Other subjects and chapters remain in the implementation queue. Availability here is not whole-grade curriculum completion.