GRADE 10 · Numbers
Real Numbers
Euclid's Division Lemma · Euclid's Division Algorithm
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SHOP BY GRADE · MATHEMATICS
Grade 10
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16 TOPICS
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GRADE 10 · Numbers
Irrational Numbers Proofs
Formal proof that √2, √3, √5, √p (for prime p) are irrational · proof by contradiction method
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GRADE 10 · Algebra
Polynomials
Geometrical meaning of zeroes (graph of polynomial) · zeroes of linear, quadratic, cubic polynomials
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GRADE 10 · Algebra
Pair of Linear Equations
Consistent, inconsistent, infinitely many solutions · graphical method
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GRADE 10 · Algebra
Quadratic Equations
Standard form ax²+bx+c=0 · solutions by factorisation
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GRADE 10 · Algebra
Arithmetic Progressions
Definition · common difference
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GRADE 10 · Geometry
Triangles (Similarity)
Similar figures · similar triangles — AA, SAS, SSS criteria
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GRADE 10 · Geometry
Circles
Tangent to a circle · number of tangents from an external point (0,1,2)
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GRADE 10 · Geometry
Constructions
Dividing a line segment in a given ratio (internal) · constructing a triangle similar to a given triangle (scale factor)
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GRADE 10 · Trigonometry
Intro to Trigonometry
Trigonometric ratios: sin, cos, tan, cosec, sec, cot · ratios for standard angles 0°, 30°, 45°, 60°, 90°
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GRADE 10 · Trigonometry
Applications of Trigonometry
Angle of elevation · angle of depression
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GRADE 10 · Measurement
Areas related to Circles
Perimeter & area of a circle revision · area & length of arc
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GRADE 10 · Measurement
Surface Area & Volume
Combinations of solids (cone on cylinder, hemisphere on cylinder, etc.) · surface area of combined solids
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GRADE 10 · Coordinate Geometry
Coordinate Geometry
Distance formula (derivation & problems) · section formula (internal & external division)
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GRADE 10 · Data
Statistics
Mean for grouped data (direct, assumed-mean, step-deviation methods) · median for grouped data (using cumulative frequency)
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GRADE 10 · Data
Probability
Classical definition of probability · complementary events P(Ē)=1−P(E)
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