I am in 10th and I an writing my math board exam tomorrow.... I would also like to tell all the best to all those who are going to face it tomorrow..... Can u please tell some tips about statistics chapter because I will take a lot of time just to complete one sum of that and can u even tell me which method I can use so that I can do it fast I need for both grouped and ungrouped data...... ????
Answers
Unit I: Number Systems
Real Numbers
Euclid’s division lemma; The fundamental theorem of arithmetic; Terminating/Non-terminating recurring decimals.
Unit II: Algebra
Polynomials
Zeroes and coefficients of the quadratic polynomials, Division algorithm for polynomial
Pair of Linear Equations in Two Variables
Algebraic method of solving the pair of linear equation-by substitution, by elimination & by cross multiplication method; Equations reducible to linear equations.
Quadratic Equations
Standard form of quadratic equation; Solutions of quadratic equations by factorization, by completing the square; Nature of roots
Arithmetic Progressions
Introduction; Derivation of the nth term and sum of the first n terms of an A.P.
Unit III: Coordinate Geometry
Lines
Graph of linear equations; Distance Formula, Section formula; Area of the triangle.
Unit IV: Geometry
Triangles
Similar figures; Similar triangles-(Prove) If a line is drawn parallel to one side of a triangle, the other two sides are divided in the same ratio; If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side; Basic proportionality theorem; Criteria of similarity; Area of similar triangles; Pythagoras theorem and its converse.
Circles
Tangent to a circle and its construction; Number of tangent from a point to a circle;
Constructions
Division of line segment; Construction of similar triangle; Constructions of tangents to a circle.
Unit V: Trigonometry
Introduction to trigonometry
Trigonometric ratios of an acute angle; Values of the trigonometric ratios of 30°, 45°, and 60°. The relationship between ratios.
Trigonometric identities
Trigonometric ratios of complementary angles; Proof and applications of the identities.
Heights and Distances
The angle of elevation; Angle of depression; Problems based on angles including only 30°, 45°, 60°.
Unit VI: Mensuration
Areas related to Circles
Motivate the area of a circle; area of sectors and segments of a circle. Problems based on the areas and perimeter of the plane figures.
Surface Areas and Volumes
Surface areas and volumes of combinations of any two of the figures: cubes, cuboids, spheres, hemispheres and right circular cylinder/cones. Frustum of a cone; Conversion of one solid shape into another.
Unit VII: Statistics and Probability
Statistics
Mean, median and mode of grouped data; Cumulative frequency graph.
Probability
Classical definition of probability; Simple problems on single events.