10th class Math

Ratio, proportion and variation

solution

Direct proportion

inverse proportion

Exercise solution

• Define proper fraction
•  Improper fraction
• Rational fraction.

Partial fraction

Solution

solution

Define discriminant

Find discriminant of a given quadratic equation

Discuss the nature of the roots of the quadratic equation

Cube roots of unity and their properties

Recognise complex cube roots of unity

Roots and coefficients of quadratic equation

Symmetric function of the roots of the quadratic equation

Quadratic equation and roots solving

Synthetic division

simultaneous equation

solving real life problem with quadratic equation

Quadratic Equation

• Solve a quadratic equation in one variable by factorization
• completing square
• Quadratic formula

solutions of exercise

• solve a quadratic equation by using quadratic formula.

Set

Operation on sets

• Recall the sets denoted by $N$, $W$, $Z$, $E$, O, P, and $Q$.

• Perform operations in set union, intersection, difference, and complement.
• give formal proofs of the following fundamental properties of union and intersection of two or three sets
  • commutative property of union.
  • commutative property of intersection.
  • associative property of union.
  • associative property of intersection.

Solution

• Construct a grouped frequency table.
• Construct histograms with equal and unequal class intervals.
• Construct a frequency polygon.
• Draw a cumulative frequency table.

• Measure range
• variance
•   Standard deviation.

Introduction to Trigonometry 

solutions