Class 10 Maths practice by chapter

Quadratic Equations

• Solving quadratic equations
• Nature of roots using the discriminant
• Quadratic equation word problems

Arithmetic Progressions

• AP nth term and sum
• Finding which term of an AP
• AP sum word problems

Coordinate Geometry

• Distance formula and section formula
• Area of a triangle from coordinates

Introduction to Trigonometry

• Finding all trigonometric ratios from one

Some Applications of Trigonometry

• Heights and distances

Probability

• Probability with dice and cards
• Complementary events and coins
• Two dice: sums and doubles

Surface Areas and Volumes

• Surface area and volume of cylinders and cones
• Volume of combined solids
• Melting and recasting solids
• Frustum of a cone

Real Numbers

• Euclid's division algorithm for HCF
• Terminating or recurring decimal test
• HCF and LCM in real situations

Polynomials

• Zeroes and coefficients of a quadratic

Pair of Linear Equations

• Solving a pair of equations by elimination
• Consistency of a pair of equations
• Word problems on linear pairs

Triangles

• Basic Proportionality Theorem
• Similar triangles: shadows and scale

Trigonometry

• Using trigonometric identities
• Evaluating with standard angle values
• Trigonometric ratios of complementary angles

Applications of Trigonometry

• Angle of depression problems

Circles

• Length of a tangent from an external point

Areas Related to Circles

• Area of a sector and segment

Statistics

• Mean of grouped data
• Mode of grouped data
• Median of grouped data
• Cumulative frequency tables

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