**Concept of rational numbers**

**Representing rational number in form of decimal**

**Terminating and non terminating rational number**

**Repeating decimal into rational number**

**Algebra laws for rational number**

**Concept of irrational numbers**

**Decimal value of irrational number**

**How to compare irrational numbers ?**

**Comparing rational and irrational number**

**Finding irrational numbers in square root form**

**Finding irrational numbers between two fractions**

**Rationalizing irrational number**

**Questions on irrational numbers**

**Exponent for real numbers**

**Problems on product of power rule of exponents**

**Problems on Quotient of power rule of exponents**

**Exponents Problem Sets – Grade 09**

**Square root expressions**

**How to simplify square root expressions ?**

**Simplify square root expressions**

**How to rationalize denominators with roots ?**

**Rationalize denominator problem sets – grade 09**

**Algebraic identities**

**Trinomial formula with power ****2**

**Formula for \mathtt{( a+b)^{3}} **

**Formula for \mathtt{( a-b)^{3}} **

**Formula for \mathtt{a^{3} +b^{3}} **

**Formula for \mathtt{a^{3} - b^{3}} **

**Formula for \mathtt{a^{3} +b^{3} +c^{3} -3abc} **

**Formula for (x + a) (x + b) (x + c)**

**Algebraic identities problem – Grade 09**

**Factorization of algebraic expression**

**Factorize expression in form \mathtt{a^{2} -b^{2}} **

**Factorize expression in form \mathtt{a^{2} +2ab+\ b^{2}} **

**Factorize expression in form \mathtt{ax^{2} +bx+c=0} **

**Factorize expression \mathtt{a^{3} -b^{3}} **

**Factorize expression \mathtt{a^{3} + b^{3}} **

**Problems on factorization of algebraic expressions**

**Factorization of quadratic expression**

**Understanding quadratic equation**

**Solving quadratic equation using factorization**

**Solving quadratic equation using formula**

**Types of root of quadratic equation**

**Remainder theorem of polynomial**

**Problems on factorization of polynomial**

**Lines and angles**

**Adjacent angle of straight line measures 180 degree**

**Vertically opposite angles theorem**

**Transversal and parallel lines**

**Angle sum property of triangle with proof**

**Exterior angle theorem of triangle**

**Questions on line & angles -01**

**Questions in lines & angles – 02**

**Questions on parallel line & transversal**

**Questions on angle sum property of triangle**

**Concepts of triangle**

**Formula for altitude of scalene triangle**

**Formula for altitude of isosceles triangle**

**Formula for altitude of equilateral triangle**

**Formula for altitude of right triangle**

**Difference between altitude and median**

**Altitude and median of equilateral triangle**

**Median of equilateral triangle are equal in length**

**Properties of angle of triangle**

**Formula for angle formed by angle bisector of triangle**

**Questions on triangles & its angles**

**Questions on exterior angle theorem of triangle**

**Theory of congruent triangles**

**Prove that angle bisectors of triangle are concurrent**

**Prove that side opposite to equal angles are equal**

**Angle opposite to greater side is larger**

**Prove that side opposite to greater angle is longer**

**Prove that in triangle, sum of two sides is greater than third side**

**Prove that in triangle, difference of two side is less than third side**

**Sum of two sides of triangle is greater than twice the median**

**Isosceles triangle angle property**

**Isosceles triangle property of line from base to other side**

**Isosceles triangle property of two points on base**

**Prove that all angles of equilateral triangle are equal**

**Questions on congruent triangles**

**Angle bisector equidistant theorem**

**Explain and prove midpoint theorem**

**Converse of midpoint theorem with proof**

**Length of median of right triangle**

**Concept of Quadrilaterals**

**Quadrilateral types and definition**

**Angle sum property of quadrilateral**

**Sum of exterior angle of quadrilateral**

**Area of quadrilateral when all sides are given**

**Diagonal of parallelogram divide it into congruent triangle**

**Prove that opposite sides of parallelogram are equal**

**Quadrilateral with equal opposite side is a parallelogram**

**Quadrilateral with equal opposite angle is a parallelogram**

**Prove that diagonals of parallelogram bisect each other**

**Prove that quadrilateral with bisected diagonals is a parallelogram**

**Prove that each angle of rectangle is a right angle**

**Prove that diagonals of rhombus are perpendicular**

**Area of Parallelogram & Triangle**

**Parallelograms with same base and between same parallel lines have equal area**

**Area of parallelogram and triangle**

**Prove that perpendicular line is the shortest distance between point and line**

**Independent and dependent variables**

**Quadrants of a cartesian plane **

**Coordinates of a point** **in cartesian plane**

**Plot points on cartesian plane **

**Common graph of function between x & y**

**Questions on plotting point on cartesian plane**

**Coordinate Geometry – Objective questions**

**Questions on slope and intercept for y = mx + c**

**Questions on drawing graph of linear equation**

**Volume and surface area of cube**

**Questions on surface area of cube**

**Volume and surface area of cuboid**

**Questions on surface area of cuboid**

**Volume and surface area of cylinder**

**Questions on volume of cylinder**

**Questions on surface area of cylinder**

**Volume and surface area of hollow cylinder**

**Volume and surface area of cone**

**Surface area of cone questions**

**Volume and surface area of sphere**

**Questions on surface area of sphere**

**Probability and important terms**

**Definition of experiments in probability**

**Events & its types in probability**

**Complimentary events with examples**

**Mutually exclusive events with examples**

**Mutually non exclusive events with examples**

**Probability question on coin toss**

**Questions on probability and playing cards**